If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10

Answers

Answer 1

Answer:

D) $5385.10

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year

This means that [tex]A(0) = 12500, r = 0.155[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 12500(1-0.155)^t[/tex]

[tex]A(t) = 12500(0.845)^t[/tex]

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]

The correct answer is given by option D.


Related Questions

Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.

Answers

Answer:

He would need to sell 14 more hotdogs

Step-by-step explanation:

140/56= 175/x

140x= 9,800

x= 70

56-70= 14

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

HELP MEEEE !!!
Plsssss

Answers

Answer: option B

This is because you have to work out the range of both periods

The range is the highest number - the lowest number

Range for period 1: 92-81=11
Range for period 3:92-74=18

As you can see the range for period 3 is 7 points greater than period 1 therefore the answer is the second option ( option B)

Hope this helped

original price $125 discount ? sale price $81.25

Answers

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

someone please help me answer this!!

Answers

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

help plz plz plz ill give brain​

Answers

Answer:
5 Hours
Step-by-step explanation:
Given :- 2 hours can be earned each day if she eats all of her vegetables and does all of her chores.
Saved hours at the start of the week = 3 hours
Hours earned in 4 days = 2 hours × 4
= 8 hours
Hours used in 4 days = 6 hours
Hours left after 4 days = Saved hours at the start of the week + Hours earned in 4 days - Hours used in 4 days
Hours left after 4 days = 3 + 8 - 6
= 5 hours

Can someone please help me?

Answers

Answer:

D

Step-by-step explanation:

This is a pythagoream thereom question, the area of a square can be found by multiplying the sides. All the sides of a sqaure are the same so we are basically sqauring the side lengths. That is where the [tex]BE^{2}[/tex] and [tex]BH^{2}[/tex] come from. The problem tells us that the area of the two small squares are equal to the one bigger square. And the area of the bigger sqaure can be found by squaring that side EH. So [tex]BE^{2}[/tex]+[tex]BH^{2} =EH^{2}[/tex].

Amy and Sara's ages are consecutive even integers. The product of their ages is 528. If Sara is
younger, how old is Amy?
Write an equation that can be used to find their ages.

Answers

Answer:

24

Step-by-step explanation:

Sara = x age

Amy = x+2        when Sara  x = 22    Amy is x + 2 = 24

Product of ages = 528 so............

    x(x+2) = 528

    x² + 2x - 528 = 0     solve for x         I did it graphically first to get x = -24, 22

    (x+24) (x-22)  = 0

   (x+24) = 0         (x-22) = 0

           x = -24             x = 22        since you really can't have a negative age

                         

Find the distance to the nearest tenth
between the points (-4, 2) and (6, -3) on
the coordinate plane.

Answers

Answer:

d=11.2

Step-by-step explanation:

[tex]d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2} \\ }[/tex]

[tex]d=\sqrt{(6-(-4)^{2}+(-3-2)^{2} }[/tex]

[tex]d=\sqrt{10^{2}+5^{2} }[/tex]

[tex]d=\sqrt{100+25}[/tex]

[tex]d=\sqrt{125}[/tex]

[tex]d=11.18[/tex]

[tex]d=11.2[/tex]

Can somebody please help me with this ?

Answers

Answer:

8x, 2x^2, 6xy, 5y.

Step-by-step explanation:

Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.

Someone please explain this andwer

Answers

Answer: 2756 cubic inches

Step-by-step explanation:

Well, first calculate the rectangular prism: 11 x 11 x 16 = 2304

Then the cylinder: pi x 4(sqrd) x 9 = about 452

then add them together

I hope this helps! :)

Question 17
17. Find the scale factor that was used in the dilation shown.

Answers

Answer:

We are missing a picture, we can't see the dilation they are referring to. The photo is just showing the answer options, so without the dilation it can't be answered.

Step-by-step explanation:

Which expression is equivalent to 6x-9•3

Answers

An expression could be 3(2x+9)

Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)​

Answers

Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Use the following image to multiply.
5/8 of 4 =

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]

HELP ASAP PLEASE
What’s the answer

Answers

Answer:

Step-by-step explanation:

function 2

Jenny is dog sitting for 13 dogs. One runs away, and she is not sure which one. There were 3 Labradors (L), 2 Golden Retrievers (G), 3 Dalmatians (D), 4 terriers (T), and 1 bulldog (B) in the original group.
What is the size of the population of dogs that could have run away from Jenny?

1
5
11
13

Answers

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

12 = 0.005 X W
Solve the equation

Answers

Please mark me brainliest!!!

The answer is W= 2400 bc you have to divide both sides.

Hope this helps!

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Please help me solve this problem and explain the steps

Answers

Answer:

1086ft squared

Step-by-step explanation:

Which is the graph of f(x)=4(1/2)x

Answers

Answer:

here's the graph

Step-by-step explanation:

Find the value of f(4) for the function

Answers

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

What type of angles are <5 and <6?

A. Vertical angles
B. Alternate exterior angles
C. Supplementary angles
D. Alternate interior angles​

Answers

Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

C. Supplementary angle

It is bot B or D because they arent alternating, they are in fact next to each other.
It is not A because it is not a 90 degree angle

Simplify fully
4x2 + 4x
2x² – 2

Answers

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Tiana deposited $500 into an account that earns 6% simple interest. How many years will it take for the value of the account to reach $2000

Answers

Answer:

Number of year = 50 year

Step-by-step explanation:

Given:

Amount deposit in account = $500

Rate of interest = 6 % = 0.06 (Simple interest)

Future amount = $2,000

Find:

Number of year

Computation:

A = P + I

2,000 = 500 + I

Amount of interest I = $1,500

I = PRT

1,500 = 500 x 0.06 x Number of year

1,500 = 30 x Number of year

Number of year = 1,500/30

Number of year = 50 year

Given that £1 = $1.62
b)
a) How much is £650 in $?
b) How much is $405 in £?

Answers

Answer:

A) £650 = $1053

B) $405 = £250

Step-by-step explanation:

For a) Since £1 is equal to $1.62 you would just do £650 times 1.62 to get $1053

For b) Since £1 is equal to $1.62 you would do $405 divided by 1.62 to get £250

Express 1/3 as a repeating decimal and round to the nearest hundredth.

Answers

Answer:

1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's

Step-by-step explanation:

.3 is in the tenths and .33 is in the hundredths place

Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?

Answers

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2

Answers

Answer:

cot theta = -√3

Step-by-step explanation:

we are given that  cos theta = - √3/2 within the range 180° < theta < 270° and

since cos theta = adj/hyp

adj = - √3

hyp = 2

Get the opposite using the pythagoras theorem

hyp^2 = opp^2 + adj^2

2² = opp² + (-√3)²

4 = opp² + 3

opp² = 4-3

opp² = 1

opp = 1

tan theta = opp/adj

tan theta = - 1/√3

Recall that cot theta = 1/tan theta

cot theta = 1/(-1/√3)

cot theta = -√3

PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh

Answers

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

Please answer number 9 I’ll give brainliest thank you!

Answers

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

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