PLZZZ HELP!
In 2002 Johan bought a collector car as an investment when its value was
$180,000. He sold the car in 2014. Over the time he owned it, its value
grew an average of 2.44% each year.

How much profit did Johan earn on
his investment?

Answers

Answer 1

bought for $180000 in 2002

sold it in 2014

180000*2.44\100


Related Questions

Please help! I need this answer right ! And I’m unsure can you LMK ASAP???

Answers

Answer:B

Step-by-step explanation:

Find the volume of compostie figure

Answers

Step-by-step explanation:

The first composite shape is a combination of a rectangular prism and a pyramid. To find the volume of the entire shape you find the volume of each individual shape and add them together. The second figure consists of a cylinder and a hemisphere.

Hope that helps :)

Which expression is equivalent to 3t - 5 + 8t + 3 ?

Answers

Answer:

11t -2

Step-by-step explanation:

3t - 5 + 8t + 3

Combine like terms

3t +8t- 5  + 3

11t -2

Start by changing the problem to 3t + -5 + 8t + 3.

Now combine like terms.

Combine like terms → your numbers

and your "t" terms.

So 3t + 8t is 11t and -5 + 3 is -2.

So the answer is 11t - 2.

what is the equation of a line that is parallel to the line 2x 5y = 10 and passes through the point (–5, 1)? check all that apply.
A. y = −x − 1
B. 2x 5y = −5
C. y = −x − 3
D. 2x 5y = −15 y
E. − 1= −(x 5)

Answers

The equation of a line that is parallel to the line 2x - 5y = 10 and passes through the point (-5, 1) is B. 2x - 5y = -5.

To find the equation of a line that is parallel to the line 2x - 5y = 10, we need to determine the slope of the given line first. The equation is in the form of Ax + By = C, where A = 2, B = -5, and C = 10.

To find the slope, we can rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope.

2x - 5y = 10

-5y = -2x + 10

y = (2/5)x - 2

From this equation, we can see that the slope of the given line is 2/5.

A line that is parallel to this line will have the same slope. Therefore, the equation of the parallel line can be determined using the point-slope form (y - y1 = m(x - x1)), where (x1, y1) represents the coordinates of the given point (-5, 1).

Using the slope of 2/5 and the point (-5, 1), we can now check the options to see which ones satisfy the conditions:

A. y = -x - 1: This equation has a slope of -1, not 2/5. It is not parallel to the given line.

B. 2x - 5y = -5: This equation has the same slope of 2/5 and passes through the point (-5, 1). It satisfies the conditions and is parallel to the given line.

C. y = -x - 3: This equation has a slope of -1, not 2/5. It is not parallel to the given line.

D. 2x - 5y = -15y: This equation has a slope of 2/20, which simplifies to 1/10. It is not parallel to the given line.

E. -1 = -(x - 5): This equation does not represent a line. It is not a valid option.

Therefore, the equation of a line that is parallel to the line 2x - 5y = 10 and passes through the point (-5, 1) is B. 2x - 5y = -5.

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Tad and his buddies drove to the orange bowl to see their favorite football team win the national championship because of heavy traffic they only avsraged 50 mph however on the return trip they averaged 75 mph if the total round trip took 12 hours how long did it take tad and his buddies to drive to the orange bowl

Answers

Answer:

7.2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Distance "D" = rate × time

or d = r × t.

Tad and his buddies drove to the orange bowl(while going) -50mph

Tad and his buddies while returning from a trip -75mph

Total round trip = 12 hours

Distance while going = 50 x t

Distance while returning = 75 (12 - t)

50t = 75(12 -t)

50t = 900 -75t

50t + 75t = 900

125t = 900

t = 900/125

t= 7.2

The total number of hours it takes Tad and his buddies to drive to the orange bowl is 7.2 hours.

BRAINLIEST AND 50 POINTS UP FOR GRABS: PLEASE LEAVE DETAILED ANSWERS
Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0).

Plot triangles PQR and P'Q'R' on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P'Q'R'? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P"Q"R" obtained after P'Q'R' is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P''Q''R'' congruent? Explain your answer. (2 points)

Answers

Answer:

Triangle P' Q' R' is half the size of the original triangle.

-The scale factor is probably 1/3.

Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).

Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

Step-by-step explanation:

:)

Easy Points! Explain Well!

Answers

Answer:

I am guessing it is 67 as for maybe the whole thing is 180 degrees. So 180 subtracted by 67 and 46 equals 67!!!

67+46+?=180

113+?=180

?=180-113

?=67

use base conversion method, convert the decimal expansion (25679),, to an Octal expansion.

Answers

The decimal number (25679)₁₀ is equivalent to the octal number (62117)₈. The base conversion method, also known as the radix conversion method, is a systematic approach to converting numbers from one base to another.

To convert the decimal expansion (25679)₁₀ to an octal expansion, we can use the base conversion method.

Step 1: Divide the decimal number by 8 and keep track of the remainders.

25679 ÷ 8 = 3209 remainder 7

3209 ÷ 8 = 401 remainder 1

401 ÷ 8 = 50 remainder 1

50 ÷ 8 = 6 remainder 2

6 ÷ 8 = 0 remainder 6

Step 2: The remainders from bottom to top form the octal expansion.

Therefore, (25679)₁₀ = (62117)₈.

Hence, the decimal number (25679)₁₀ is equivalent to the octal number (62117)₈.

The question should be:

Use base conversion method, convert the decimal expansion (25679)₁₀ to an Octal expansion.

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Can someone help me with this. Need answer and explanation/work. Thank you. Will Mark brainliest.

Answers

Answer:

The hikers are 5 miles apart.

Step-by-step explanation:

East + West = 3 miles apart (x-axis)

North + South = 4 miles apart (y-axis)

Then use the pythagorean theorem to find the distance between them.

sqrt(distance) = sqrt(3^2+4^2)

distance = sqrt(25)

distance = 5 miles

P and Q are points on the line 4x+2y=8


b) Draw the line 4x+2y=8 for values of x from -2 to 3.

WINNER WILL GET BRAINLIEST
Please help me.


There is no picture but it would be great if you could help me.

Answers

Answer:

[tex]4 \sqrt{2 - 3 = 1[/tex]

Answer:

(-2,8), (-1,6), (0,4), (1,2), (2,0), (3,-2)

Step-by-step explanation:

Insert these points in graph and draw a line. You will get the answer. ^_^

sorry had to edit because of a blunder

Given a smooth function / such that f(-0.2) = -0.91736, f(0) = -1 and f(0.2) = -1.04277. Using the 2-point forward difference formula to calculate an approximated value of f'(0) with h = 0.2, we obtain: f'(0) = -0.21385 f'(0) = -1.802 f'(o) -2.87073 f'(0) = -0.9802

Answers

The approximated value of f'(0) using the 2-point forward difference formula with h = 0.2 is -0.21385. So, first option is the correct answer.

To calculate an approximate value of f'(0) using the 2-point forward difference formula with h = 0.2, we can use the given function values:

f(-0.2) = -0.91736

f(0) = -1

f(0.2) = -1.04277

Using the 2-point forward difference formula, we have:

f'(0) ≈ (f(h) - f(0)) / h

Substituting the values:

f'(0) ≈ (f(0.2) - f(0)) / 0.2

f'(0) ≈ (-1.04277 - (-1)) / 0.2

f'(0) ≈ (-0.04277) / 0.2

f'(0) ≈ -0.21385

Therefore, the approximated value of f'(0) using the 2-point forward difference formula with h = 0.2 is -0.21385. Therefore, the correct answer is first option: f'(0) ≈ -0.21385.

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HELP NQNSJNDNXJJXnwnfnf

Answers

Answer:

C. 14 is the answer

Step-by-step explanation:

1. Write the question.

17 - 2x = -11

2. Subtract 17 from both sides

-17          -17

    - 2x = -28

3. Negatives cancel

      2x = 28

4. Divide both sides by 2

        /2     /2

        x = 14

5. Check the answer, write the equation.

17 - 2x = -11

6. Substitute x with the value

17 - 2(14) = -11

17 - 28 = -11

-11 = -11

The answer is correct!

So, 14 is the answer

Hope this helped,

Kavitha

help with all of u can, I’d appreciate it. Have a good day

Answers

Answer:

a. -12n^3 + 8n^2 - 2n

b. n^4 - n/2

c. 6b^7 + 2b^6 - b^5

Step-by-step explanation:

btw photomath (the app) is really good for this type of stuff

SOMEONE PLEASE HELP!!!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

This rhombus is divided into 4 triangles. UL= upper left LL= lower left UR= upper right LR= Lower Right

UL: ½bh = ½(5)(4)=10

LL: ½bh = ½(5)(4)=10

UR: ½bh = ½(5)(4)=10

LR: ½bh = ½(5)(4)=10

Add up all the areas of each individual triangle (10+10+10+10 =40) and that's your final answer.

The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12

Step-by-step explanation:

To determine the number of discs, divide the area of the metal sheet by the area of the discs

The metal sheets are in the shape of a rectangle, thus the area of a rectangle would be used to determine the area of the sheet

Area of a rectangle = length x breadth

56 x 33 = 1848 cm^2

The disc is in the shape of a circle.

area of a circle = πr²

π = 3.14

r = radius

3.14 x 7² = 153.86 cm²

Number of discs = 1848 /153.86 = 12

i need help asap.!!!!!

Answers

The answer is for 23-24 is 23 d and for 24 it’s g

Find the value of the variables in the simplest form

Answers

Answer:

y = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

y² = ([tex]\sqrt{2}[/tex] )² + ([tex]\sqrt{2}[/tex] )² = 2 + 2 = 4 ( take the square root of both sides )

y = [tex]\sqrt{4}[/tex] = 2

How many different ways can you write a fraction that has a numerator of 2 as a sum of fractions? Explain.

Answers

Answer:

Step-by-step explanation:

1/5 + 1/5 = 2/5

1/7 + 1/7 = 2/7

1/3 + 1/3 = 2/3

There are an infinite number of these fractions. They must be 1 and 1 in the numerator, and the denominator must be relatively prime  to 2. The examples I have picked are prime in the denominator, but the rule is not without many exceptions. For example

1/9 + 1/9 = 2/9

I don't think you can pick an even denominator because it will reduce when put with two.  Oh wait 2/18 + 2/18 = 4/18 = 2/9 But these could be reduced before adding. Still, it might count. It depends on who is marking the question.

What about an odd and even denominator?

1/9 + 1/18 = 3/18 = 1/6  There must be something that works, but I can't come up with an example.

what is the probability rule for deciding whether events a and b are independent

Answers

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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Use inverse matrix to solve the following systems of equations: - 3', 2X, - 4X2 = -3 3X1 +5X2 = 1 9.) 3X1 - 2X2-4 = 0 -4X1 + 3X2 + 5 = 0

Answers

Using the inverse matrix, the solution to the system of equations is X₁ = -7/25 and X₂ = -2/25.

To solve the system of equations using the inverse matrix, we can represent the equations in matrix form as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.

The system of equations can be written as:

Equation 1: -3X₁ + 2X₂ = -3

Equation 2: 3X₁ + 5X₂ = 1

Equation 3: 3X₁ - 2X₂ = 4

Equation 4: -4X₁ + 3X₂ = -5

Rewriting the equations in matrix form, we have:

[tex]\left[\begin{array}{ccc}-3&2\\3 &5\\3 &-2\\-4 &3\end{array}\right] \left[\begin{array}{ccc}X1\\X2\end{array}\right]=\left[\begin{array}{ccc}-3\\1\\4\\-5\end{array}\right][/tex]

To find the solution, we need to calculate the inverse of the coefficient matrix A. Let's call it A^(-1).

[tex]A^{-1}=\left[\begin{array}{ccc}\frac{-11}{25}&\frac{2}{25}\\\frac{3}{25}&\frac{3}{25}\\\end{array}\right][/tex]

Now, we can solve for X by multiplying A^(-1) with B:

[tex]\left[\begin{array}{ccc}X1\\X2\end{array}\right]=\left[\begin{array}{ccc}\frac{-11}{25}&\frac{2}{25}\\\frac{3}{25}&\frac{3}{25}\\\end{array}\right]\left[\begin{array}{ccc}-3\\1\\4\\-5\end{array}\right][/tex]

Performing the matrix multiplication and Simplifying the results, we have:

X₁ = -7/25

X₂ = -2/25

Therefore, the solution to the system of equations is X₁ = -7/25 and X₂ = -2/25.

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If the probability of surviving the zombie apocalypse for 1 year is 20% a. what are the odds of surviving (explain)? (1 pt) b. What are the odds of not surviving (explain)? (1 pt) c. If I bet $25 on you to survive, and you do, how much would you pay based on the odds? (1 pt)

Answers

a) The odds of surviving is 1/4

b) The odds of not surviving is 4.

c) You would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

a) The odds of surviving the zombie apocalypse can be calculated by taking the probability of survival (20%) and dividing it by the probability of not surviving

100% - 20% = 80%

So the odds of surviving would be,

20%/80% = 1/4

This means that for every one chance of surviving, there are four chances of not surviving.

b) The odds of not surviving the zombie apocalypse can be calculated by taking the probability of not surviving (80%) and dividing it by the probability of survival (20%).

So the odds of not surviving would be

80%/20% = 4/1

This means that for every four chances of not surviving, there is one chance of surviving.

c) If you bet $25 on surviving and you do survive, based on the odds of 1/4, you would win the bet. The payout can be calculated by multiplying the bet amount by the odds of surviving.

So the payout would be

$25 * 1/4 = $6.25

Therefore, based on the odds, you would receive a payout of $6.25 if you bet $25 on surviving and you successfully survive the zombie apocalypse.

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1,3x + 3,9x = 0

Pls someone explain the steps for this. Like how do I find the x1 and x2.

Answers

Answer:

x=0

I used phone math!!!!!!!!

Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years

Answers

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5  

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000

Can someone help me in proving theorems in square pleasee ASAP​

Answers

Step-by-step explanation:

[tex]90 = 4x - 6 \\ 96 = 4x \\ x = 24[/tex]

[tex]2x - 8 = \\ = 48 - 8 = \\ = 40[/tex]

Find the work done by the force field F in moving an object from A to B. F(x y) = 6y3/2 i + 9x x square root y j A{ 1, 1), B(3, 4)

Answers

The integrate is W = 12 ∫[0 to 1] (1 + 3t)^(3/2) dt + 27 ∫[0 to 1] (1 + 2t) √(1 + 3t) dt.

To find the work done by the force field F in moving an object from point A to point B, we can use the line integral of the force field along the path connecting A and B. The line integral is given by the formula:

W = ∫[C] F · dr

where C represents the curve connecting points A and B, F is the force field, dr is the differential displacement vector along the curve, and · denotes the dot product.

First, let's calculate the differential displacement vector dr. Since we are moving from point A(1, 1) to point B(3, 4), the differential displacement vector dr can be expressed as:

dr = dx i + dy j

Now, let's determine the curve C connecting A and B. The curve can be parametrized as follows:

x(t) = 1 + 2t

y(t) = 1 + 3t

where t varies from 0 to 1.

Differentiating these parametric equations, we obtain:

dx = 2 dt

dy = 3 dt

Substituting these values into the differential displacement vector dr, we have:

dr = 2 dt i + 3 dt j

Next, let's calculate the force field F at each point along the curve C. Given that F(x, y) = 6y^(3/2) i + 9x √y j, we can substitute the parametric equations for x and y into F:

F = 6(1 + 3t)^(3/2) i + 9(1 + 2t) √(1 + 3t) j

Now, let's evaluate the line integral by substituting the values of F and dr into the integral expression:

W = ∫[0 to 1] (6(1 + 3t)^(3/2) i + 9(1 + 2t) √(1 + 3t) j) · (2 dt i + 3 dt j)

Expanding the dot product, we have:

W = ∫[0 to 1] (12(1 + 3t)^(3/2) dt + 27(1 + 2t) √(1 + 3t) dt)

Now, we can simplify and integrate each term separately:

W = 12 ∫[0 to 1] (1 + 3t)^(3/2) dt + 27 ∫[0 to 1] (1 + 2t) √(1 + 3t) dt

To evaluate these integrals, we can use appropriate substitution or integration techniques. After integrating both terms, we will have the value of the work done by the force field F in moving the object from A to B along the curve C.

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Which is NOT an equation?

a
x + 14 = 32

b
3 + x

c
10 – 2x = 10 + 5x

d
12 = 0.5x – 3

Answers

b 3 + x is an expression because it has no =

Answer:

B because it does not contain an = sign

The longer piece of wood has dimensions of 1 inch by 1 inch by 8 inches. The
Short piece of wood has dimensions of 1 inch by 1 inch by 4 inches. How many
square inches of paint would be needed to cover all sides of this object?

Answers

I think you would need 18 squares

The growth of an apple tree was measured. The tree grew 15 inches per year.

On average, how many millimeters did the tree grow per day?

Answers

Answer:

1.04 mill

Step-by-step explanation:

15 inches to mill = 381

[tex]365\sqrt{381}[/tex] = 1.04 ( rounded )

What information is needed in order to apply the hypotenuse-leg (HL) theorem

Answers

Answer:

This theorem states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent. ' This is kind of like the SAS, or side-angle-side postulate. But SAS requires you to know two sides and the included angle.

Step-by-step explanation:

PLEASE HELP
A water park charges an entrance fee of $15 and $3 for each ride. Select the function that models the relationship between the total amount spent (A) and the number of rides purchased (n).
A. A= 15n+ 18
B. A= 15n+3
C. A= 3n+18
D. A=3n+ 15 X​

Answers

Answer:

D. A = 3n + 15

Step-by-step explanation:

3 should be beside the n variable because n represents each ride that was purchased.

As 15 represents the fee

The A variable represents the total amount spent

Therefore your answer is D.

Your Welcome.

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8. The stockholders' equity section of the balance sheet for Scuba Gear Corporation appeared as follows before its recent stock dividend: Common stock, $5 par, 100,000 shares issued and outstanding $ 500,000 Additional paid-in capital 100,000 Retained earnings 725,000 Total stockholders' equity $1,325,000 Scuba Gear declared a 10% stock dividend when the market price per share was $8. After the stock dividend was distributed, the components of the stockholders' equity section were: Common Stock Add'l. Paid-in Capital Retained Earnings a. $580,000 $100,000 $645,000 $550,000 $100,000 $675,000 $550,000 $130,000 $645,000 d. There would be no change in the components of stockholders' equity. True or False, and Why?Under consumption of education and health services of the pooris an example of moral hazard. Diagnostic Supplies has expected sales of 175,000 units per year, carrying costs of $5 per unit, and an ordering cost of $7 per order. a. 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In the past, the pile driving companies simply used blocks of wood which sometimes caught on fire, so now they mainly use unbranded pads made of pieces of asbestos-like material that they buy from local industrial supply houses for about $3 a piece. These supply houses sell a wide variety of products needed by construction companies. They mark-up their products to sell for 30% over their cost to buy the products. Typically, pile-driving companies rent their equipment and pay their workers an hourly wage. Rental and labor costs geth are about $150 per hour per machine. MetalCo is a small ($20m in sales) but successful firm specializing in a metal wire twisting technology typically used for making various kinds of filters for the automobile industry. Your new product is a completely new application of this technology. It is made from metal wire twisted to form a coil and then wound to form a pad. 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You are scheduled to meet with PileCo to negotiate selling your metal pads to them directly (i.e. skipping the supply house) for a period of 1 year. How would you price the new metal pads?1. Calculate the price you would be willing to accept for metal pads.2. Consider how you would promote the new pads. Question 3 1 pts -kh = If the temperature is constant, then the atmospheric pressure p (in pounds/square inch) varies with the altitude above sea level in accordance with the law P = Poe where Po is the atmospheric pressure at sea level and kc is a constant. If the atmospheric pressure is 16 lb/in 2 at sea level and 11.5 lb/in 2 at 4000 A, find the atmospheric pressure at an altitude of 12000 A. O 6.91b/in? 2 0 4.91b/in? 2 5.91b/in2 O 3.91b/in2 2 O 7.91b/in? Which of the following factors will affect the slope of the aggregate demand curve? NO LINKS!! URGENT HELP PLEASE!!Find the probability of each event. 28. One day, 9 babies are born at a hospital. Assuming each baby has an equal chance of being a boy or girl, what is the probability that exactly 4 of the 9 babies are girls?29. A gambler places a bet on a horse race. To win, he must pick the top 3 finishers in order. 13 horses of equal ability are entered in the race. Assuming the horses finish in random order, what is the probability that the gambler will win his bet? Write an exception ered by a user class that is appropriate for indicating that a time ent is not valid. The time will be in the 24 hour format hour minute Sample run would be java TimeEntry S java Time ntry Minute HWT Please set the time in the 24 hour format Hour:Minute >please set the time in the 4 18:31 Time is Set to 31 minutes past 18 o'clock 90:55 This Time Fornat is Invalid 1.Please discuss major export and import products (1 each) for South Korea, and what happended to their prices over the years.2.Please cite and explain 1 good/service that has positive externality and therefore the government should subsidize. MARCO has successfully developed and implemented full functional Financial Accounting System software for Enterprises which has received good industry acceptance. They now plan to add a CRM software system to pri manage the entire sell side of the business. Identify the specific dependencies of the CRM software for the [6 marks] integration with the FA system and indicate the modules that would have to work together. 50 ml of 0.600 m sr(no3)2 with 50 ml of 1.60 m kio3 caculatte the equilibreum sr2 Influence of food home delivery on dine-in restaurant facilities." Write (i) Significant meaning of the statement or your interpretation about the statement (ii) Hypothesis that can be formulated (iii) Research methodology technique that can be followed (iv) Add 3 references related to the statement I In the second wave of electronic commerce, the internet had become simply a tool that enabled communication among virtual community members.a. trueb. false Tom is considering purchasing a gaming platform. He has two choices: PlayStation 5 and Nintendo Switch. The cost of a PlayStation is $20 and the cost of a Nintendo Switch is $15. In the future, he will use the gaming platform to play a game. There are two games in consideration game X and game Y. A game may or may not be available on a gaming platform. We know that: (1) Game X is available on PlayStations with probability 0.6; it is available on Nintendo Switch if and only if it is not available on PlayStation 5; (2) Game Y is available on both PlayStation 5 and Nintendo Switch with probability 0.7; otherwise it is available on neither platform; (3) The availability of Game X and the availability of Game Y are independent, (4) Both games, if available, are free to play (5) Playing Game X gives Tom a happiness that worth $50; playing Game Y gives Tom a happiness that worth $40, (6) Due to time limitation, Tom can play at most one game. Answer the following questions: (a) Construct a decision tree for Tom. (5 points) (b) Which gaming platform should Tom purchase?