Mary bought an antique clock.
In the first year, its value increased by 30%
In the second year, its value decreased by 30%
Work out whether the clock increased in value, decreased in value or remained the
same value over the two years.
You must show your working clearly.

Answers

Answer 1

The overall price considering the percentages is decreased.

What are percentages?

Percentage is defined as "out of 100." Similar to fractions and decimals, percentages are used in mathematics to represent subsets of a whole. When expressing a sum as a percentage, 100 equal components are regarded to make up the whole. A percentage can be shown by the symbol % or, less frequently, by the abbreviation 'pct'.

In stores, online, in commercials, and in the media, you can see percentages practically anywhere. Understanding what percentages signify is a crucial skill that could help you save time and money and raise your employability.

Calculation:

Let us suppose mary bought that antique clock for 100$.

So now in the first year its value is increased by 30% which is 100+30 = 130$ after the 1 st year.

Now the clock price is 130$

So now in the second year its value is decrease by 30% which is 130- 39 = 91 $

So the overall clock price has been decreased by $9 since mary bought it.

The overall price considering the percentages is decreased.

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Related Questions

if each of seven persons in a group shakes hands with each of the other six persons, then a total of forty-two handshakes occurs.

Answers

Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

Ue what you know about decimal or fraction to explain why 0. 2×0. 002 equal 0. 4

Answers

Using fractions, we can say that  0. 2×0. 002 equal 0. 4or in other way 0.0004.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have following expression -(0.2) • (0.002) = 0.0004

We have -

(0.2) x (0.002)

2/10 x 2/1000

1/5 x 1/500

1/2500

0.0004

Therefore, using fractions, we can say that 0.0004.

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For each equation, state whether there is no solution, one solution, or infinitely many
solutions. Explain your reasoning

Equations
1/3x - 6 = 1/3(x-3) - 5
8x + 7 = -8x + 7
0.8x + 14 = 0.8x

Answers

The number of solutions of each of the given linear equations are;

1) No solution

2) One solution

3) No solution

How to solve linear equations?

1) We are given the equation;

¹/₃x - 6 = ¹/₃(x - 3) - 5

Expanding the bracket gives us;

¹/₃x - 6 = ¹/₃x - 1 - 5

The value that has the variable x is equal on both sides and so will cancel out leaving us with no solution.

2) 8x + 7 = -8x + 7

Add 8x to both sides to get;

16x + 7 = 7

subtract 7 from both sides to get;

16x = 0

x = 0

This has only one solution

3) 0.8x + 14 = 0.8x

The value attached to the variable on both sides are equal and so we say that this has no solution.

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please help really struggling!

Answers

Answer:

Step-by-step explanation:

First, they want you to recall that in a right triangle,  that you know the angle y, because you know two of the angles already.   and you know the total is 180°  around a triangle.  There is a lot you're supposed to remember.   Anyway,  

180 = y + 62+90

180-62-90 = y

28 = y

see??

z =  the same length, as triangle  IHK on the same segment

z= 1

3 Maria has a bag containing 18 fruit drop sweets. 10 are apple flavoured and 8 are blackberry
flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at
random. Calculate the probability that:
a)) both sweets were apple flavour
b)) both sweets were blackberry flavored
c)) the first was apple and the second was blackberry

Answers

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

A blood plasma donation company accepts 404040 volunteers per day. Based on previous data, they know that 15\%15%15, percent of volunteers will be turned away for some reason. Let xxx represent the number of patients that get turned away in a set of 404040 volunteers. Find the mean and standard deviation of xxx. You may round your answers to the nearest tenth.

Answers

Mean of the sample is 6 and standard deviation of the sample is 2.258

number of volunteers per day = 40

so n=40

what is sample proportion ?

sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.

sample proportion(p) = 15 %= 15 /100 =0.15

 so p= 0.15

and hence q= 1 - p= 0.85

formula of mean = n * sample proportion =  np.

mean of sample = np = 40 *0.15 =6

 

 so mean = 6

so standard deviation or SD =  [tex]\sqrt{p * q * n}[/tex]

standard deviation = [tex]\sqrt{p*q*n}[/tex]

=> √(40 × 0.15 × 0.85)

=> √5.1

so standard deviation = 2.258

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Help meeeee please !!!!

Answers

Answer: seth made 3 banana bread and 2 bananas where left over

Step-by-step explanation:

so draw 11 bananas circle three until you are left with less than three

count how many circles have three bananas which is 3 circles

now count how many bananas are not in a circle which is 2

i have adhd so i'm not good at explaining things so yeah hope this helps

:)

find the area of the sector of a circle with radius 6 miles formed by a central angle of 2.8 radians:

Answers

The area of the sector of a circle  is 28π square miles

The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.

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I need help on this question only for part A​

Answers

Answer:

x-intercept: (-7,0)

y-intercept: (0,9)

Step-by-step explanation:

A rectangle has a length of 4x + 5 and a width of 8x - 4. Which expression shows the perimeter of the rectangle?

Answers

Answer:

perimeter of rectangle= 2(l+b)

=2(4x+5+8x-4)

=2(12x+1)

24x+2

Answer:

perimeter of the rectangle = 24x + 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Then:

perimeter = 2(4x+5 + 8x-4)

perimeter = 2(4x+8x + 5-4)

perimeter = 2(12x + 1)

perimeter = 2*12x + 2*1

perimeter = 24x + 2

What is the answer please help .

Answers

Answer:

None of A, B, or C.

Step-by-step explanation:

A quadratic function in its general form is [tex]f(x)=a(k(x-d))^2+c[/tex], where a represents the vertical stretch/compression, k the horizontal stretch/compression, d the horizontal shift, and c the vertical shift. Here, based on the image of f(x) and the resulting transformed function g(x), we can see that the graph has only been shifted horizontally to the right by two units. We should expect the function g(x) to be [tex](x-2)^2[/tex], which is not provided in any of the options.

Five batch jobs, a through e, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6 and 12 minutes, respectively. Their (externally defined) priorities are 6, 3,.

Answers

A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.

Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.

a) For each process the turnaround time is

A= 45 minutes    b= 35 minutes

C= 13 minutes     D= 26 minutes

E= 42 minutes

The average time will be

[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]

b) For a quantum of 4 minutes

[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]

c) The average turnaround time can be calculated to be

[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]

d)The average turnaround time is

[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]

e) The average turnaround time is

[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]

Complete question:

Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.

a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)

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[tex]\frac{x}{y}x12[/tex]

Answers

Answer:

[tex] \frac{x {}^{13} }{y} [/tex]

Step-by-step explanation:

[tex]1. \: \frac{xx {}^{12} }{y} \\ 2. \: \frac{x {}^{13} }{y} [/tex]

Solve for x. Figures are not necessarily drawn to scale.

Answers

Check the picture below.

[tex]\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x[/tex]

A man 1.5m in height standing on top of a vertical building 42m heigth .sees a truck some distance away ,at an angel of depression of 53.5.At what distance is the truck from the base of the building.​

Answers

The truck is 32.22m away from the base of the building

As a 1.5m long  man is standing on the 42m long building,

=>the height of man's site= 42+ 1.5= 43.5m

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

As given, the angle of depression = 53.5°

We know that,

tan ∝= perpendicular* base

so, ∝=53.5:

tan(53.5 )= 43.5/y

[where y= distance of the truck from the base of the building]

1.35= 43.5/y

y=43.5/1.35= 32.22m

Hence, the truck is 32.22m away from the base of the building.​

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If the 1t peron ave 1/4 of total , 2nd peron ave 2/3 of total and the 3rd peron ave 1/10 which fraction i left to pay for the birthday party

Answers

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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Davontae is attending a local festival downtown. He plans to park his car in a parking garage that operates from 7:00 a.m. to 7:00 p.m. and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking (for example, 2 hours 15 minutes would be charged as 3 hours). When creating a linear graph that represents the relationship between the price and number of hours parked, what would be an appropriate domain and range for the given situation?

Answers

The domain and range is calculated to be

domain { x | 0 ≤ x ≤ 12 }

range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }

How to find an appropriate domain and range for the given situation

The situation described has the following information deduced form the problem

a parking garage that operates from 7:00 a.m. to 7:00 p.m.

from  7:00 a.m. to 7:00 p.m = 12 hours

hence form 0 to 12 is the domain

and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking

this means that the y intercept is 3 and the slope is 2, hence the equation of the line is

y = 2x + 3

The range is calculated as follows, since 11.59 is counted as 12 we take 11

at x = 0, y = 2 * 0 + 3 = 3

at x = 11, y = 2 * 11 + 3 = 25

the range is calculated to be 3 to 25

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Please help me answer this question

Answers

No. Using Lin's method, there is an implicit assumption that [tex]d \neq 0[/tex]. However, the solution to the equation turns out to be [tex]d=0[/tex], making Lin's method invalid.

A cylinder has a height of 7
meters and a diameter of 6 meters.
What is its volume? Use ≈ 3.14
and round your answer to the
nearest hundredth.
cubic meters

Answers

Answer:

[tex]V=197.82 m^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is defined by [tex]\pi r^{2} h[/tex], where [tex]\pi r^2[/tex] represents the area of its base (which is just a circle) and [tex]h[/tex] the height of the cylinder. Think of a rectangle. The formula for its volume is simple [tex](base)(width)(height)[/tex]. In this case, base and width are [tex]\pi r^2[/tex], and the height is simply [tex]h[/tex].

Knowing this information, we can solve for the volume:

Diameter = 6 m . Radius is half of the diameter. So Radius, r, = 3 m.

Height = 7 m.

Now we plug into the equation, such that [tex]\pi =3.14[/tex]:

[tex]V=(3.14)(3)^2(7)[/tex]

[tex]V=197.82 m^{3}[/tex]

Answer:

[tex]V=197.82[/tex]

Step-by-step explanation:

[tex]Given,\\H=7m\\D=6\\R=?\\[/tex]

So we need to find the radius with the Formula,

[tex]r=\frac{d}{2}[/tex]

[tex]r=3m[/tex]

Now we need to find the volume of the cylinder by the Formula,

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14X(3)^{2}(7)[/tex]

[tex]V=3.14X63\\V=197.82[/tex]

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Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.

Answers

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

Plug in what you know into v = 10 + at
You get a = 10

Describe the transformation of f(x) = x^2 represented by g(x) = 2(x-3)^2+4

Answers

Answer:

Step-by-step explanation:

The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.

The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.

The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.

Which system of linear equations appears to have a solution of (–1, 4)?

(A) On a coordinate plane, 2 lines intersect at (1, negative 4).
(B) On a coordinate plane, 2 lines intersect at (1, 4).
(C) On a coordinate plane, 2 lines intersect at (negative 1, negative 4).
(D) On a coordinate plane, 2 lines intersect at (negative 1, 4).

Answers

Answer:

D

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

a street light is mounted at the top of a -ft-tall pole. a man ft tall walks away from the pole with a speed of along a straight path. how fast is the tip of his shadow moving when he is ft from the pole?

Answers

The tip of the man's shadow is moving at the speed of 2.25m/s.

Here, we are given-

Length of the pole = 6 meters

Height of the man = 2 meters

Speed of the man = 1.5 m/s

we can form a diagram as shown in the figure below.

Now as the two triangles are similar, the ratio of their sides will be equal-

2/ b = 6/ (a + b)

2(a + b) = 6b

2a + 2b = 6b

2a = 4b

a = 2b

Now, differentiating both sides with respect to time-

da/ dt = 2db/ dt

(1/2)(da/dt) = db/dt

Let a + b = c

⇒ dc/ dt = da/dt + db/dt

dc/ dt = da/dt + da/2dt

dc/ dt = 3/2 × da/ dt

Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5

dc/dt = 3/2 × 1.5

= 2.25

Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.

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Your question was incomplete. Check for full content below-

a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?

Write a olution that contain ax2=y and ha no olution when a=4 and one olution otherwie

Answers

The equation "ax2 = y," which has one solution unless a = 4, and none unless a = 4, has a solution. x = √(-4ay) / (2a) restricted by the condition that y be negative.

We may use the quadratic formula to determine the solutions to an equation for various values of an to construct a solution to the equation "ax² = y," which has no solution when a = 4 & just one solution in all other cases.

According to the quadratic formula, the answers to the problem "ax2 + bx + c = 0" are provided by

x = (-b +/- √(b² - 4ac)) / (2a)

In this formula, if we add "ax² = y," we obtain

x = (-0 +/- √(0² - 4ay)) / (2a)

which simplifies to

x = √(-4ay) / (2a)

If a = 4, the equation becomes

x = √(-16y) / 8

The equation has no solutions if y is positive because the value of (-16y) is fictitious. The value of (-16y) is real if y is negative, but the equation is still unsolvable since x cannot have a negative value. As a result, when a = 4, the problem has no solutions.

The equation has a single solution provided by any other value of a.

x = √(-4ay) / (2a)

For example, if a = 3, the equation becomes

x = √(-12y) / 6

Since √(-12y) is imaginary if y is positive, the problem has no solutions. If y is negative, √(-12y) has a real value, and there is only one solution to the problem.

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Which expression is equivalent to a - b?

Answers

The expression that is equivalent to a + b will be 3x + 3.

How to illustrate the expression?

It's important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this situation, the value of a = 2x and b = x + 3. The expression that is equivalent to a + b will be:

= a + b

= 2x + x + 3

= 3x + 3.

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The value of a = 2x and b = x + 3. Which expression is equivalent to a - b?

20 inch (diameter) bicycle wheel is spinning at a rate of 150 rpm. how fast is the bicycle moving (in mph)?

Answers

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

radius = 10 inches

circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Fatima is preparing food parcels to give to charity. She has 252 tins of beans, 168 chocolate bars and 294 packets of soup. Each food parcel must contain the same, and there must be nothing left over. What is the greatest number of parcels she can prepare, and what will be in each parcel?​

Answers

Answer: 42 parcels total.

each parcel contains 6 tins of beans in each parcel, 4 chocolate bars, and 7 packets of soup.

Answer:

The number of packages is 42.

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

Step-by-step explanation:

We need to find the greatest common factor (GCF) of the three numbers to find the number of packages.

168 = 2³ × 3 × 7

252 = 2² × 3² × 7

294 = 2 × 3 × 7²

GCF = 2 × 3 × 7 = 42

The number of packages is 42.

168/42 = 4

252/42 = 6

294/42 = 7

The contents of each package is 4 chocolate bars, 6 tins of beans, 7 packets of soup.

What is the area of the figure below? Round to the nearest hundredth when necessary.

Answers

The area of the figure having two semicircles and a parallelogram is equal to 173.01 square inches. The correct option is A.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle. The space occupied by the parallelogram in a two-dimensional plane is called the area of the parallelogram.

Given that the radius of the semicircle is 6 inches and the height of the parallelogram is 5 inches.

Calculate the area of two semicircles,

Area = π / 2r² +  π / 2r²

Area = πr²

Area = ( π x 6² )

Area = 113.09 square inches

Calculate the area of a parallelogram,

Area = B x H

Area = 12 x 5

Area = 60 square inches

The total area of the figure,

Total area = 113.09 + 60

Total area = 173.01 square inches

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11 If a₁ = 6 and an = 3 + 2(an-1)², then a2 equals
A 147
B 180
C 75
D 900

Answers

The value of the sequence a2 is (c) 75

How to determine the sequence a2

From the question, we have the following sequence that can be used in our computation:

a₁ = 6 and an = 3 + 2(an-1)²

Substitute 2 for n in the equation an = 3 + 2(an-1)²

So, we have the following representation

a2 = 3 + 2(a2-1)²

This gives

a2 = 3 + 2(a1)²

Substitute a₁ = 6 in a2 = 3 + 2(a1)²

a2 = 3 + 2(6)²

Evaluate

a2 = 75

Hence, the value of a2 is 75

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Identify a value of k that transforms f into g, where g(x) = f(x) + k.

Answers

Answer:

  k = 7

Step-by-step explanation:

You want to know the value of k that transforms f(x) = 2/3x -3 to g(x) = f(x) +k, where g(x) is 2/3x +4.

Vertical shift

The amount of vertical shift to get from f(x) to g(x) can be found by subtracting f(x) from g(x):

  g(x) = f(x) +k

  g(x) -f(x) = k

  (2/3x +4) -(2/3x -3) = k

  4 -(-3) = k = 7

Function f(x) is shifted upward by k = 7 to transform it to g(x).

__

Additional comment

We can read the equations from the graph by looking for the y-intercept (b) and the slope (m = rise/run) of each line. The slope is rise=-2 for run=3, so m=-2/3.

The +k means the transformation is a vertical shift. You don't need to know what the equations for f(x) and g(x) are; you only need to look at the difference between the y-intercepts. That difference is the amount by which g(x) is shifted upward.

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