Please help asap thank you

Please Help Asap Thank You

Answers

Answer 1

Answer:

1.

Mean:22

Median: 19.5

Mode:12

Range:26

2.

Mean: 21.143

Median: 16

Mode: 5

Range: 43

3.

Mean: 38.5

Median: 37.5

Mode: 13 , 34, 41

Range: 56

4.

Mean: 73.167

Median: 78.5

Mode: 85

Range : 47

5.

Mean: 58.75

Median: 63

Mode: 63

Range : 70

6.

Mean: 68.714

Median: 74

Mode: 74

Range: 57

7.

Mean: 48

47.5

72

66

8.

59.625

61

90

79

9.

31.571

32

46

34

10.

42.111

40

51

51


Related Questions

pls help asap this is too hard helpme

Answers

Please mark me brainliest!!!

It’s a= -1/2

Hope this helps!

What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π

Answers

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π [tex]r^{2}[/tex]

r = 2.7 / 2 = 1.35

4 x 3.14 x [tex]1.35^{2}[/tex] = 22.8906

Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)

Answers


(2,0)(0,2
(-1,-3)(-3,-1)
(-1,3) (1,0)

Answer:

(2,0)(0,2

(-1,-3)(-3,-1)

(-1,3) (1,0)

Step-by-step explanation:

what is the square root of 81

Answers

Answer:

9

plz mark as brainliest

Answer:

9

Step-by-step explanation:

[tex]\sqrt{81} =9[/tex]

9 x 9 = 81

Can someone help me out with this please. Do not give me a link for it just answer it please. I will give 20 points.

Answers

Answer:

3x+4y=3

Step-by-step explanation:

Plug this in desmos graphing calculator.

URGENT , PLEASE HELP DONT LINK FILES!!!




Find the volume of right rectangular prism made of one hundred 1/2-inch cubes


Answers

Answer:

50

Step-by-step explanation:

100÷1/2=50 so your answer would be 50

How can we write the domain and range for a function that is not piece-wise such as
y=x?

Answers

Using infinity so it would be (-infinity, infinity) for both domain and range

(Also since infinity isn’t a set number you need to use the curved parentheses () instead of the brackets [ ] )

For the function f(x) = 2.02 – 42 +2 (a) Find the equation for its tangent at r = 0. (b) Find the equation for its tangent at I = 1. (c) Find the equation for its tangent at x = 2. (d) What is special about f when x = 1?

Answers

a) The equation for the tangent at x = 0 is y - 2 = -42x.

(b) The equation for the tangent at x = 1 is y + 38 = -38x + 38.

(c) The equation for the tangent at x = 2 is y + 62 = -34x + 68.

(d) When x  = 1,the value of f(x) is -38.  This is the y-  coordinate of the point on the tangent line at x = 1.

What is the  explanation for the above  ?

To find the equations for the   tangents of the function f (x) = 2x² – 42x + 2 at specific points,we need to calculate the derivative of the function first. Let's differentiate f(x) with respect to x .

f(x ) =   2x² – 42x+ 2

f'(x) = d/  dx (2x²) – d/dx (42x)+ d/dx (2)

f'(x) = 4x – 42

So

(a) Tangent at x = 0  -

To find the equation for the tangent at x  = 0 we need to evaluate f'(x) at x = 0.

f'(0) = 4(0) – 42

f'(0) = -42

Since the slope of the tangent is -42 at x = 0, the equation of the tangent can be written in point-slope form using the point (0, f(0)).

Using f(0) = 2(0)² – 42(0) + 2 = 2, the equation for the tangent at x = 0 is -

y - 2 = -42(x - 0)

y - 2 = -42x

(b) Tangent at x = 1:

To find the equation for   the tangent at x = 1,we need to evaluate f'(x) at x = 1.

f'(1  ) =4(1) – 42

f'(1) = -38

Using f(1) = 2(1)² – 42(1) + 2 = -38, the equation for the tangent at x = 1 is  -

y + 38 = -38(x - 1)

y + 38 = -38x + 38

(c) Tangent at x = 2

To   find the equation for the tangent at x = 2,we need to evaluate f'(x) at x = 2.

f'(2) = 4(2) – 42

f'(2) = -34

Using f(2) = 2(2)^2 – 42(2) + 2 = -62, the equation for the tangent at x = 2 is:

y + 62 = -34(x - 2)

y + 62 = -34x + 68

(d)  To determine what is special about f when x = 1, we can evaluate the function at x = 1

f(1) = 2(1)² – 42(1) + 2

f(1) = -38

When x = 1,the value of f(x) is -38. This is the y  -coordinate of the point on the tangent line at x = 1. Therefore, the special property of f when x = 1 is that the function value is -38 at that point.

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In a tank problem with equal inflow and outflow rate ri=re=r, input concentration c; of a toxic substance, and total volume Vo of mixture in the tank, the appropriate DE for the quantity Q of toxin in the tank is da Q Vo =r = r (c: -). dt True False

Answers

The statement is false. The appropriate differential equation for the quantity Q of toxin in the tank is not given by dQ/dt = r (c/Vo).

In a tank problem with equal inflow and outflow rates and a constant input concentration c of a toxic substance, the appropriate differential equation for the quantity Q of toxin in the tank is dQ/dt = r(c - Q/Vo), where r is the inflow/outflow rate and Vo is the total volume of the mixture in the tank.

The term (c - Q/Vo) represents the difference between the input concentration and the concentration in the tank, scaled by the volume Vo. This equation accounts for the fact that the concentration in the tank changes over time due to the inflow of fresh mixture with concentration c and the outflow of the mixture with concentration Q/Vo.

Therefore, the correct differential equation is dQ/dt = r(c - Q/Vo), which reflects the balance between the inflow and outflow of the toxic substance and its accumulation or depletion in the tank.

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A discrete random variable X is said to be uniformly distributed over the numbers 1. 2. 3......,n, if
P(X=i) =1/n, i=1,2....,n
Find EX and Var(X).

Answers

For a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value (EX) can be calculated as the average of all possible values of X. The variance (Var(X)) measures the spread or variability of the distribution.

The expected value and variance, we need to use the formulas for the mean and variance of a uniform distribution.

The expected value (EX) for a uniform distribution can be calculated as the average of all possible values of X. In this case, since X is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value can be found using the formula:

EX = (1 + 2 + 3 + ... + n) / n

Simplifying this expression, we get:

EX = (n + 1) / 2

The variance (Var(X)) of a uniform distribution can be calculated using the formula:

Var(X) = (n^2 - 1) / 12

where n is the total number of possible values.

Therefore, for a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value is (n + 1) / 2, and the variance is (n^2 - 1) / 12. These formulas allow us to calculate the average and measure the spread of the distribution.

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The total number of passengers riding a certain city bus during the morning shift is 1,000. If the child's fare is $0.50, the adult fare is $1.75, and the total revenue from the fares in the morning shift is $1,500, how many children and how many adults rode the bus during the morning shift?

Answers

Let the number of children who rode the bus be C and the number of adults who rode the bus be A. Here's how to solve this problem:

Step-by-step explanation: We are given the following information:

Total number of passengers = 1000 Children's fare = $0.50. Adult fare = $1.75. Total revenue from fares = $1500. Let C be the number of children who rode the bus during the morning shift. Therefore, the number of adults who rode the bus will be (1000 - C). The total revenue from fares is given as:$0.50 × C + $1.75 × (1000 - C) = $1500. Simplifying this equation gives us: 0.5C + 1750 - 1.75C = 1500-1.25C = -250C = 200. Therefore, the number of children who rode the bus is C = 200. Therefore, the number of adults who rode the bus is:1000 - C = 1000 - 200 = 800.

Therefore, the number of adults who rode the bus during the morning shift is 800.

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Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.

16 in.

A = 187 in 2

The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?

3

® 997 in.

2

B 1,994-

4,488in.3

D 2,992in.

Answers

Answer:

D. 2992 cubic inches of water

Step-by-step explanation:

Given data

Base Area= 187in^2

Height of 16 inches

The expression for the volume of a rectangular shaped tank is

V= Area*Height

substiute

V= 187*16

V=2992 in^3

Hence the volume is 2992 cubic inches of water

On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam

Answers

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

Plug in values

z=\frac{-11}{10}

z=

10

−11

Subtract

z=-1.1

z=−1.1

Divide

Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer

Answers

from question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.

PLEASE ANSWER QUICKLY

Answers

Answer:

x = 90 and 20 x 4 = 6x9 = k2 over -2

Listed below are ages of Oscar winners matched by the years in which the awards were won. Best Actress 28 30 29 61 32 33 45 29 62 22 44 54 43 Best Actor 37 38 45 50 148 60 50 39 55 44 33 a) Find the correlation coefficient r using a calculator. b) Is there a linear correlation between the ages of Best Actresses and Best Actors based on the r that you got? Explain.

Answers

a) The correlation coefficient (r) is approximately 0.300, indicating a weak positive linear relationship between the ages of Best Actresses and Best Actors.

b) Based on the correlation coefficient (r), there is a weak positive linear correlation between the ages of Best Actresses and Best Actors, suggesting that as the ages of Best Actresses increase, the ages of Best Actors also tend to increase, but the relationship is not very strong.

a)How can I calculate the correlation coefficient (r) using a calculator or statistical software?

To find the correlation coefficient (r), we can use the given ages of Best Actresses and Best Actors. The correlation coefficient measures the strength and direction of the linear relationship between two variables. Using a calculator or statistical software, we calculate the correlation coefficient to be approximately 0.300.

b)Is there a significant linear correlation between the ages of Best Actresses and Best Actors based on the obtained correlation coefficient (r)?

Based on the correlation coefficient (r) of approximately 0.300, there is a weak positive linear correlation between the ages of Best Actresses and Best Actors. This means that there is a tendency for the ages of Best Actresses and Best Actors to increase together, but the relationship is not very strong. The correlation coefficient ranges from -1 to +1, where 0 indicates no linear correlation, 1 indicates a strong positive linear correlation, and -1 indicates a strong negative linear correlation. In this case, the value of 0.300 suggests a weak positive linear relationship, indicating that as the ages of Best Actresses increase, the ages of Best Actors also tend to increase, albeit not strongly.

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Identify the figure, name the bases,faces,edges, and vertices


Answers

Answer:

It’s a square-based pyramid

base(1) is the square on the bottom- ABCD

Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA

There are 8 edges, four being at the bottom around the base and the other four being alone the faces

Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid

Step-by-step explanation:

Which of the following equations has a graph that passes through (3, 3) and has a slope of -2?
A. x + 2y = 9
o B. X- 2y = -3
O
C. 2x + y = 9
o
D. -2x + y = -3

Answers

Answer:

C

Step-by-step explanation:

y=mx+b

3 = -2(3) + b

3 = -6 + b

9 = b

y = -2x + 9

2x + y = 9

Abox has a shape of a rectangular prism. The base of the box measures 12 square inches. The height of the box measures 7 inches. Which is the volume of the box?
A. 558 cube in.
B. 252 in.
C. 84 cube in.
D. 19 cube in.​

Answers

Answer: C.

Step-by-step explanation: To find the volume of something, you multiply the length, width, and height together. Since they have already multiplied the length and width together to form the base, multiply 7 by 12 (base times height) to get 84 cubic inches.

Two parallel lines, I and m, are cut by a transversal, t, as shown below.
1
(17x + 14)
((48-2°
m
What is the value of z?

Answers

Answer:

x = 8

Step-by-step explanation:

alternate-interior angles equal 180°

17x + 14 + 4x - 2 = 180

21x + 12 = 180

21x = 168

x = 8

question is on the picture

Answers

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

Find the area of the shaded

Answers

Answer:

area = 84 in²

Step-by-step explanation:

area = (9x12) - (6x8x0.5) = 84 in²

If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per hour? Explain your answer

Answers

Answer:

It'll take 25 more minutes

Step-by-step explanation:

PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

Answers

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

Answer:

1. x=5

2. x=16

3.x=46

4.x=59

Step-by-step explanation:

1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.

2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.

3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.

4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.

1.  44+30=74      89-74=5                 x=5

2.  box=90      90-74=16                   x=16

3. 180-134=46                                   x=46

4. 180-59=121    180-121=59             x=59

I need help with math!!

*PLEASE NO LINKS*

I will mark you brainiest if you don’t send a link!!

Answers

Answer:

#1 - y = 2x

#2 - x is days for sale and y is times viewed

#3 - 80

#4 - 35

Step-by-step explanation:

Tony will spend at most $27 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tony will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

Inequaltiy: 27 ≤ 14+c

Final answer: 13 ≤ c

Step-by-step explanation:

Well tony spent at most 27 dollars.

He spent 14 already and he can‘t get past 27 dollars but he can spend exactly 27 or even less.

So 27 ≤ 14+c

Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.​

Answers

Answer:

.

Step-by-step explanation:

The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?



A 3.1 inches
B 6.3 inches
C 12.6 inches
D 25.1 inches
E 50.2 inches

Answers

Answer:

B

Step-by-step explanation:

2 pi r subtracted by 2 pi r, you get answer

2 x 3.14 ~ 6.28, x 9 ~ 56.54.

2 x 3.14 ~ 6.28, x 8 ~ 50.24

56.54 - 50.24 ~ 6.3




2. (a) What are the possible remainders when n² + 16n + 20 is divided by 11? (b) Prove for every n € Z that 121 | n² + 16n +20.

Answers

The required answer is  -

a. leaves a remainder of n² - 3n or (n - 6)(n + 7) ,the possible remainders are 0, 1, 4, 9, 5, 3

b .every n € Z that 121 | n² + 16n +20.

Explanation:-

(a) Remainder when n² + 16n + 20 is divided by 11:Let us first find out the value of n² + 16n + 20,n² + 16n + 20 = (n + 10)(n + 6) + 4As n and 11 are co-prime, by Fermat's Little Theorem, n¹⁰  ≡  1(mod 11)So, (n + 10)(n + 6) ≡ (n + 1)(n + 7) (mod 11)Hence, n² + 16n + 20 ≡ (n + 1)(n + 7) + 4 ≡ n² + 8n + 11 ≡ n² - 3n (mod 11).Therefore, when n² + 16n + 20 is divided by 11, it leaves a remainder of n² - 3n or (n - 6)(n + 7).

Thus, the possible remainders are 0, 1, 4, 9, 5, 3

(b) Prove that 121 | n² + 16n + 20 for every n ∈ Z . n ∈ Z, thenn² + 16n + 20 = (n + 8)² - 44(n + 8) + 324 = (n + 8 - 22)(n + 8 + 14) + 324= (n - 14)(n + 22) + 324.We know that 121 = 11² | (n - 14)(n + 22),

Therefore, 11 | (n - 14) or 11 | (n + 22)So, there exist k and l ∈ Z such that n - 14 = 11k or n + 22 = 11lWe have, n + 22 = n - 14 + 36Hence, n - 14 ≡ n + 22 (mod 11)If 11 | (n - 14), then 11 | (n + 22), if 11 | (n + 22), then 11 | (n - 14).Therefore, 121 | n² + 16n + 20. Thus, proved.

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The given quadratic expression is: $n^2 + 16n + 20$.

(a)We have to determine the possible remainders when this expression is divided by 11.

Let's solve for the remainder:$(n^2 + 16n + 20) \div 11$ $= \frac{(n + 8)^2 - 44}{11}$

We can write the given expression as $n^2 + 16n + 20 = (n + 8)^2 - 44$

Therefore,$\begin{aligned} (n^2 + 16n + 20) \div 11 & = \frac{(n + 8)^2 - 44}{11} \\ & = \frac{(n + 8)^2}{11} - 4 \end{aligned}$

For all possible values of $n$,

let's calculate the remainder of $\frac{(n + 8)^2}{11}$.

Let $a$ be the remainder when $n$ is divided by 11; then, $(n + 8) \div 11$ has a quotient of $q$ and a remainder of $r$. Therefore, $n + 8 = 11q + r$ $ \Right arrow n = 11q + r - 8$$\begin{aligned} n^2 & = (11q + r - 8)^2 \\ & = 121q^2 + r^2 + 64 + 22qr - 16q - 16r \end{aligned}$Let's now replace $n^2$

in the given expression:$(n^2 + 16n + 20) \div 11 = \frac{121q^2 + r^2 + 22qr - 16q + 6r + 64}{11}$

We have to find the remainders when $121q^2 + r^2 + 22qr - 16q + 6r + 64$ is divided by 11.

We observe that $121q^2$ is always divisible by 11, so we can ignore it.

We must find the remainders of $r^2 + 22qr + 6r + 64 - 16q$. $\begin{aligned} r^2 + 22qr + 6r + 64 - 16q & = r^2 + 2 \cdot 11qr + 11qr + 6r + 64 - 16q \\ & = (r + 11q)^2 + 6r - 16q + 64 \\ & = (r + 11q)^2 - 11(2q - r - 3) \end{aligned}$

The remainder is $r_0 = 11(2q - r - 3)$.

This remainder can take any value between $-10$ and $10$.

(b)We have to show that $121 | n^2 + 16n + 20$ for all integers $n$.We proved earlier that $n^2 + 16n + 20 = (n + 8)^2 - 44$.

We can restate this as $121 | (n + 8)^2 - 44$, which implies that $(n + 8)^2 - 44 = 121k$, where $k \in \mathbb{Z}$.Now we need to show that $k = \frac{n^2 + 16n + 20 - 121k}{121}$ is an integer.

Let's substitute $(n + 8)^2 - 44 = 121k$ into the given expression:$\begin{aligned} k & = \frac{(n + 8)^2 - 44}{121} \\ & = \frac{n^2 + 16n + 20 - 121k}{121} \\ & = \frac{n^2 + 16n + 20}{121} - k \end{aligned}$Thus, $k = \frac{n^2 + 16n + 20 - 121k}{121}$ is an integer for all $n \in \math bb{Z}$,

implying that $121 | n^2 + 16n + 20$ for all $n \in \math bb{Z}$.

Hence, we have proved that $121 | n^2 + 16n + 20$ for all $n \in \math bb{Z}$ using the method of mathematical induction.

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how many numbers between 100 and 200 have 11 as a prime factor

Answers

Answer. 2, 3, 5, 7 , 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199

Step-by-step explanation:

There are 21 prime number between 100 and 200.

What is Number system?

A number system is defined as a system of writing to express numbers.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

The prime numbers between 100 and 200 are

101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.

One hundred one, one hundred three, one hundred seven, one hundred nine, One hundred thirteen, one hundred twenty seven, One hundred thirty one, one hundred thirty seven, one hundred thirty nine, one hundred forty nine, one hundred fifty one, one hundred fifty seven, one hundred sixty three,  one hundred sixty seven, one hundred seventy three, one hundred seventy  nine, one hundred eighty one, one hundred ninty one, one hundred ninty three, one hundred ninty seven, one hundred ninty nine.

There are no numbers  between 100 and 200 have 11 as a prime factor.

Hence there are 21 prime number between 100 and 200.

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Other Questions
What is MAD and why is it important in the selection and use of forecasting models? How does it compare with MAPE and MSE? What are the differences between the three? Outside research is required. Remember to cite your sources. Merriweather Corporation is a manufacturer of tables sold to schools, restaurants, hotels, and other institutions. The table tops are manufactured by Merriweather, but the table legs are purchased from an outside supplier. The Assembly Department takes a manufactured table top and attaches the four purchased table legs. It takes 20 minutes of labor to assemble a table. The company follows a policy of producing enough tables to ensure that 30% of next month's sales are in the finished goods inventory. Merriweather also purchases sufficient raw materials (legs) to ensure that raw materials (legs) inventory is 70% of the following month's scheduled production needs. Merriweather's sales budget in units for the next quarter is as follows: (CMA adapted) July 4,300 August 4,500 September 4,100 Merriweather's ending inventories in units for June 30 are: Finished goods 3,900 Raw materials (legs) 6,000 Assume the required production for August and September is 3,600 units and 3,800 units, respectively, and the July 31 raw materials (legs) inventory is 6,200 units. The number of table legs to be purchased in August is: Multiple Choicea. 14.400 legs. b. 18,840 legs. c. 17.400 legs. d. 9,960 legs. A) How far from the basket was the player if he made a basket?Express your answer to two significant figures and include the appropriate unitsB) At what angle to the horizontal did the ball enter the basket?Express your answer to two significant figures and include the appropriate units. Read the case study below and answer the questions that follow.Demographic changes and international trade Demography is the study of the structure of human populations their size, age composition, gender mix, growth and so on. Changes in the population, age and gender mix of the worlds major economies suggests that major changes are predicted for the world economy.Owing to better health care, education and hygiene, major world economies now face the challenge of an ageing population (increase in the number of people aged 60 years and above). The population of major economic powers like USA, Germany, South Korea and Japan are predicted to get smaller and older over the next few years. According to the organization for Economic Cooperation and Development (OECD), the old-age dependency ration will rise dramatically over the next few years. The old-age dependency ratio is the ratio of the number of people aged 65 and above to the number of people between the ages of 20 and 64.The implications of these demographic changes for countries and companies are serious. For many companies, when retirees leave, a lifetime of experience and knowledge can be lost when they leave. Japan is one of the first major economy to face an ageing and shrinking population and Japanese companies are at the forefront of responding to these changes. For example, Toyota has adapted its workstations to make it more comfortable for the older workforce.The reality is that countries operating in countries with shrinking population are likely to face higher wage and salary costs as the supply of labour shrinks. In countries with ageing population, companies are likely to face higher taxes as governments struggle to find revenues to support and care for older citizens. Moreover, an increasing portion of the population will be employed to care for the retirees, shrinking the availability of labour for other sectors of the economy.Consumption patterns will also change as older people need different things compared to younger people. For example, older people will need more healthcare products, medical services, different insurance packages, more leisure activities while younger people will be buying more consumer products like electrical equipment, educational services, household goods.Japanese companies appear to be at the forefront of adapting new technologies to meet these demographic challenges. A Nagoya based supplier of cable television and local area network technology has developed a system to allow the elderly to self-administer basic medical measurements which can be transmitted to their doctors via the internet. Other manufacturers are developing service robots to help the elderly in daily living. (Source: adapted from RW Griffin and MW Pustay, International Business (2015), 8thth edition, Pearson, pg 44))Question 1Analyse the effect of the demographic changes on the competitiveness of countries engaged in international business. (50 marks) 1500 words A 4) (10p) Suppose that in Turkey's the velocity of money is constant, real GDP grows by 6% per year each year, the money stock grows by 9% per year, and the nominal interest rate is 7%. a) Using the Evaluating effectiveness, efficiency, and goal achievement are objectives of ________ audits.A) financialB) operationalC) information systemsD) all of the above A programmer writes a for statement to count from 1 to 100 and explicitly mentions the 1 and the 100 in the for "header." Which relational operator would probably be used in the loop-continuation test? (a) > (b) >= (c) != (d) Which of the following statements is false with regard to consolidated tax returns?Group of answer choicesA)Each corporation in the consolidated return have 80% or more of its voting stock or value owned by other corporations in the consolidated return (other than the common parent).B)The common parent must own directly more than 50% of the total voting power of all corporations included in the consolidated return.C)The tests to determine if an affiliated group exists must be met on every day of the tax year.D)Dividends paid between a subsidiary and the parent are excluded from taxable income on the consolidated return. Jane Co. exchanged equipment with Kelly Co. Information regarding the equipment to be exchanged by both parties is listed in the chart below. Assume depreciation has already been updated, and further that the exchange lacked commercial substance. Asset Given Up Jane Kelly Fair Value $3,200 $3,008 Cash $0 $192 Cost $5,000 $6,020 Accumulated Depreciation $2,400 $3,168 Prepare the journal entry that Jane would record at the time of the exchange. let t:p2r2 be defined by t(a0+a1x+a2x2)=(a0a1,a1a2). find thematrix for t relative to the bases b={1+x+x2,1+x,x+x2} andb={(1,2),(1,1)}.Let T : P R be defined by T(ao + ax + ax) = (ao a, a - a). Find the matrix for T relative to the bases B = {1+x+x,1+x, x+x} and B = {(1, 2), (1, 1)}. Freeman Company uses the perpetual inventory system and applied FIFO inventory costing method. At the end of the annual accounting period, December 31, 2014, the accounting records in inventory showed: Transactions Units Unit Cost 300 $20 Beginning inventory, Jan. 1. 2014 Purchase, Feb. 1 500 21 Purchase, May 15 400 22 Sale, March 15 (sold at $20 each) (400) Sale, July 31 (sold at $25 each) (500) Required: Assuming that the net realizable value of the inventory is $21 per unit. calculate the following: 1. Cost of goods available for sale (2 points) 2. Ending inventory to be reported on the balance sheet. (4 points) 3. Cost of goods sold to be reported on the income statement (4 points) 22. Rock Company issued a $1,000,000 of face value, 3-year bond on January 1, 2014. The bond was dated January 1, 2014, had an 8% stated rate (per year), pays cash interest annually on December 31, and issued when the market rate of interest was 6%. Rock Company uses the effective-interest method to account for its bond liability. Required 1: For the above data, calculate (mathematically) the bond issue price. (2 points) Required 2: Prepare the necessary journal entry for each of the following dates (assuming that no adjusting journal entries have been made during the year): (8 points) January 1, 2014 (2 points) December 31, 2014 (3 points) December 31, 2015 Which middle-income countries had higher mobile lines per 100 people than the united states and japan in 2014? Financial information is presented below:Operating expenses$24000Sales returns and7000allowancesSales discounts5000Sales revenue180000Cost of goods sold88000Gross profit would be$80000.O $87000.O $85000.O $92000. 1. Are your results for the converging lens in complete agreement with the fundamental lens equation? If not, to what do you attribute the discrepancies?2. When a virtual image is formed by a mirror, is it in front of the mirror or behind it? What about a real image?3. Is it possible to obtain a non-inverted image with a converging spherical lens? explain.4. Are your results for the spherical mirror in complete agreement with the fundamental lens equation? If not to what do you attribute the discrepancies?5. Light rays travel from left to right through a lens. If a virtual image is formed, on which side of the lens is it? On which side would a real image be found? A company estimates that warranty expense will be 5% of sales. The company has sales of $225,000 for the current period. The curent periode entry to record the warranty expense OA Warranty Expense 11, What statement about X-rays and ultraviolet radiation is correct? A. X-rays travel faster in a vacuum than ultraviolet waves. B. X-rays have a higher frequency than ultraviolet waves. C. X-rays cannot be diffracted unlike ultraviolet waves. D. Microwaves lie between X-rays and ultraviolet in the electromagnetic spectrum. Smart Company incurred the following costs in 2021, in relation to developing a machine that will be used in manufacturing a product. Professional fees paid to consultants to conduct market study-----P 250,000 Fees paid to engineers and experts for initial research-- 150,000 Cost of equipment used for research. The equipment will be used for other research projects. The useful life of the equipment is 5 years----P300,000 Legal fees to obtain patent---P100,000 Licensing fees paid to the patent office --P 25,000 Legal costs paid to defend patent against infringement suit --P 47,000 How much is the total R&D expense? Compute the following two real exchange rates. a) A smartboard costs $1500 in U.S., 7500 SR in Saudi Arabia b) A cupboard costs $400 in U.S., 1800 SR in Saudi Arabia | Q6: The economy is in recession. Shifting the AD curve rightward by $400b would end the recession. If MPC = 0.8 and there is no crowding out effect, how much should the Council of Ministers increase (G) to end the recession? Equipment and supplies that are carried on an ambulance should be stored:a. as directed by the EMS system's medical director.b. according to the urgency and frequency of their use.c. based on recommendations of the health department.d. in locked or secured cabinets in order to prevent theft. Which of the following is not an additional part that would be found on an electric bender?a. Control padb. Gearboxc. Motord. Ratchet handlee. Rollers