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

Do u know rulers take 2# I already ask this question its just take I put the wrong file

Answers

Answer:

9 and a half inches

Step-by-step explanation:

Just count via the ruler!

Answer:

9 4/10 inches

Step-by-step explanation:

look at where the red dotted line to the right falls on the ruler. It's not quite on 9 and a 1/2 but on the line just before that.

hope this helps

Find the surface area of the square pyramid

Answers

I actually just did this one and the answer is 220 for the triangles and the 121 for the square base so the surface area will be 341

.........................

Answers

Answer:

lol

Step-by-step explanation:

The Smith family went out to dinner.

The meal cost $65.56.
The sales tax is 2.5% of the meal.
The tip was 18% of the meal and the tax.
There are 6 people in the Smith family.
What was the cost per person for the meal, including sales tax and tip?

Answers

Answer:

13.22

Step-by-step explanation:

Find the missing side of this right
triangle.
13
8
х
x = [?]
Enter the number that belongs in the green box.

Answers

Answer: x=233

Step-by-step explanation:

The missing side of this right triangle will be 10.25. The given triangle is a right-angled triangle.

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees, then we have:

|AC|² = |AB|² + |BC|²

13²=8²+ |BC|²

|BC|=10.25

The missing side of this right triangle will be 10.25.

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PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

129°

Step-by-step explanation:

the two angles are vertically opposite.

Answer:

angle f= angle g= 129°

Step-by-step explanation:

angle g and f are vertically opposite angles and hece should be equal.

Hope it helps. Please mark as the brainliest.

on the first one shows you how to solve it then second one is the problem just tell me the answer pls have a good day bye

Answers

Answer:

43/30

Step-by-step explanation:

Answer:

1 13/30

Step-by-step explanation:

6 & 5 have a Lcm of 30, so lets use that for our denominator so we can add.

5/6 + 3/5 = 25/30 + 18/30

=

43/30 which is equal to 1 13/30.

pls helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllp
The cost of 4 ice cream cones from the snack bar was $10.40. If each ice cream cone costs the same amount, which model correctly illustrates the relationship? Check all that apply.
y = 10.4 x
y = 2.6 x
y = 4 x

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 13, 26, 39. Column 2 is labeled Total cost (in dollars) with entries 5, 10, 15.

Cost of Ice Cream Cones
A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39.

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13).

Cost of Ice Cream Cones
On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (3, 1) and (18, 7).

Answers

Step-by-step explanation:

The model that illustrates the relationship is 4x=10.404x=10.40

The cost of each ice cream was x=\$2.60x=$2.60

Step-by-step explanation:

Let

x----> the cost of one ice cream

we know that

The linear equation that represent this situation is

4x=10.404x=10.40

solve for x

Divide by 4 both sides

x=10.40/4x=10.40/4

x=\$2.60x=$2.60

Answer:

First answer is y = 2.6 (or answer two)

Second answer is         Cost of Ice Cream Cones

A 2-column table with 3 rows. Column 1 is labeled number of ice cream cones with entries 5, 10, 15. Column 2 is labeled Total cost (in dollars) with entries 13, 26, 39. (or the first mini graph-ish thingy, i don't remember what to call it)

Third answer is

             Cost of Ice Cream Cones

On a coordinate plane, the x-axis is labeled number of ice cream cones and the y-axis is labeled total cost (in dollars). A line goes through points (0, 0) and (5, 13). (or the first graph)

Step-by-step explanation:

Correct on edge 2021

and i did the calculations

I hope this helped have a great day!

This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?

Answers

Given:

The total revenue of this year = $14,600

This year revenue is 27% less than their total revenue in the previous year.

To find:

The total revenue in the previous year.

Solution:

Let x be the total revenue of the previous year.

This year revenue is 27% less than their total revenue the previous year.

Revenue in this year = Revenue in previous year - 27% of it

[tex]14600=x-\dfrac{27}{100}x[/tex]

[tex]14600=x-0.27x[/tex]

[tex]14600=0.73x[/tex]

Divide both sides by 0.73.

[tex]\dfrac{14600}{0.73}=x[/tex]

[tex]20,000=x[/tex]

Therefore, the total revenue in the previous year is $20,000.

Can somebody explain how to solve this pls??

Answers

Answer:

1: domain: 1, 3, 5, -2, -3  

   Range: 1, 3, 5, 1, -3

2: Domain: 2, 1, -1, -3, -3

    Range: 3, -4, -2, 1, 3

Step-by-step explanation:

the domain is the x intercepts, so if the coord is (5, 7) the domain would be 5

The range is the y intercept, so if the coord would also be (5. 7) the range would be 7

and yea uh tell me if i did anything wrong

Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change? (the change is a 25% decrease. Ignore the top half.)
Please help! I will give brainlest

On this month's bank statement, the final balance was $240.

What percent of change was there this month?

Answers

Answer:

160%

1.6*150=240

HELP PLEASE THIS IS A TEST FOR NEXT YEARS CLASS
A jewelry store sells charm sets that each contain three heart charms and c character charms. After buying several of these sets as gifts from the store, Mrs. Thompson had a total of 20 charms.

Which expression represents the number of charm sets Mrs. Thompson bought?

A. 20 / (3 + c)

B. 20 x 3 + c

C. 20 / 3 + c

D. 20 x (3 + c)

Answers

Answer:

20 / (3 + c)

Step-by-step explanation:

Can someone answer this? I’ll give points + brainalist

Answers

b because when u subtract the largest and smallest number its 20 and thats the most if u do it for all of them

Sam is driving home from college. He is 220 miles away from home. If he can make it home in 4 hours, at what speed or velocity is he driving?
[Hint: Use d = vt.]

Answers

Answer: 55 miles per hour

Explanation: that hint is really useful
So if distance = velocity x time
That means 220 = v x 4 hours
To find v, divided 220 by 4
220 divided by 4 = 55
But I have a question:
Is he driving at a constant speed?
and is this 6th grade math? I’m in that grade but you can trust my answer
If im wrong, someone pls correct me
If im right, mark me brainliest pls, im broke, i have no points-
Goodluck!

What are the missing numbers?

Answers

2^2. 2 and 2. Because 2 and 2

Rectangle A B C D graphed in the coordinate plane. The following are the vertices of the rectangle: A(--2,2) B(6,2) C(6,3) D(--2,3)

What is the area of rectangle ABCD?

Answers

Answer:

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Answer:

Step-by-step explanation:

If a student answers 42 out of 48
questions correctly on a quiz, what
percentage of questions did she
answer correctly?

Answers

Answer:

She answered 87.5% correctly.

Step-by-step explanation:

100÷48=2.083

2.083×42=87.5

The percentage of student answered correctly is 87.5%.

What is percentage?

A percentage, a relative value indicating hundredth parts of any quantity.

How to find the prcentage of  a number of quantity?

The following formula is a common strategy to calculate a percentage:

Determine the total amount of what you want to find a percentage.Divide the number to determine the percentage.Multiply the value by 100.

According to the given question.

Total number of questions = 48

Total number of questions which are answered correclty by a student = 42

Therefore, the percentage of question the students answered correctly is given by

[tex]Percentage = \frac{total \ correctly \ answered\ questions}{Toal\ number \ of\ questions\ } \times 100[/tex]

[tex]\implies percentage = \frac{42}{48} \times 100[/tex]

[tex]\implies percentage = 0.875\times 100[/tex]

[tex]\implies percentage = 87.5\%[/tex]

Hence, the percentage of student answered correctly is 87.5%.

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Three triangles are drawn on the same piece of paper such that no two sides are on the same line. What is the maximum number of points of intersection of the three triangles?

Answers

Answer:

6

Step-by-step explanation:

Tom deposited $2,410 in a bank that pays 12% interest compounded monthly find the amount he will have at the end of three years​

Answers

Answer: 3448.15

Step-by-step explanation:

The formula is

A=p ((1+(r/n))^(tn)

A future value ?

P present value 2410

R interest rate 0.12

N compounded monthly 12

T time 3 years

A=2,410×((1+(0.12÷12))^(3×12)

A=3448.15

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

Help me pls I need this answer

Answers

Answer:

Assuming that [tex] \overline{AOC} [/tex] is a diameter.

Given that [tex] m\angle{BAC} \: = \: 66° [/tex]

And that point O is the center of the circle

[tex] \boxed{m\angle{BAC} \: = \: 57°} [/tex]

Explanation:

Because angle AOB is subtended by arc AB from point O.

Arc AB is equal to the measure of that angle.

Since arc ABC is subtended by the diameter, the arc is 180°.

WHAT IS (1+1)*0 HELP!

Answers

Answer:

0

Step-by-step explanation:

anything times zero is zero

Simplify 12(3+5y)
A.96y
B.96-8p
C.36+5y
D.36x+60y

Answers

Answer:

60y +  36

Step-by-step explanation:

Answer: D. 36+60y

Step-by-step explanation:

12(3+5y)

36+60y

This equation is all about carrying over the 12 and multiplying against 3 and 5y.

a business plants trees on 2/4 acre of land each month for 7 months. how many acres of land does the business plant with trees after the 7 months?

a) 2/28
b) 14/28
c) 14/4
d) 30/4

please help. and please take this seriously, thank you.

Answers

Answer:

C) 14/4

Step-by-step explanation:

Multiply the amount of land per month by the number of months.

(2/4)(7) = 14/4 acres

Option C is correct, 14/4  acres of land does the business plant with trees after the 7 months

What is Fraction?

A fraction represents a part of a whole.

A business plants trees on 2/4 acre of land each month for 7 months.

We have to find the number of acres of land does the business plant with trees after the 7 months

To find this we have to multiply seven with two by four

7×2/4

14/4

Hence, 14/4  acres of land does the business plant with trees after the 7 months

To learn more on Fractions click:

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Find the equation of the line which passes through (0, 7) at a gradient of 3.

Answers

Answer:

y = 3x + 7

Step-by-step explanation:

Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7

So, y-intercept (b) = 7

Gradient (or slope m) = 3

Equation of line in slope intercept form is given as:

y = mx + b

Plugging m = 3 and b = 7 in the above equation, we find:

y = 3x + 7

This is the required equation of line.

I will give BRAINLIEST!!!The distance between P and T on the coordinate grid is units. (Input whole numbers only) 25 20- P. T -50 40 -30 -20 -10 0 10 20 30 40 Numerical Answers Expected! Answer for Blank 1:​

Answers

Answer:

P and T are 25 units apart.

What is the volume of the rectangular prism
A 11cm
B 24cm
C 30cm
D 36cm

Answers

Answer:

D, the volume of the rectangular prism is 36 cm

Step-by-step explanation:

2 x 3 x 6 = 36

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:  

the required probability is 0.0071  

Step-by-step explanation:

Given the data in the question;

we have narrowed the possibilities down to 4 people, 5 weapons, and 7 rooms.

so total number of combinations for the narrowed down metrics is computed as follows;

using multiplication rule:

⇒ 4 × 5 × 7 = 140 ways

Now, the probability of making a random guess from our narrowed down choices as well as getting the guess correct will be;

⇒ 1 / 140

{ assuming that the narrowed down choices have within it the correction combination }

= 0.007142 ≈ 0.0071  { four decimal place }

∴  the required probability is 0.0071  

Mrs. Okafor had $475 in her savings account. Each year, the value of the savings account increases
by 4%. How much money does she have in her account after 1 year?
Write an equation to represent the problem. Use b to represent the amount Mrs.
Okafor has in her account after 1 year.

Answers

Answer:

$475 + 4% (19 percent) = $494 a year.

Step-by-step explanation:

Solve and check. All steps must be shown.
5x + 15 = 75 - 25x

Answers

Answer:

X = 3

Step-by-step explanation:

Answer:

= 2

Step-by-step explanation:5x+15=75-25x

We move all terms to the left:

5x+15-(75-25x)=0

We add all the numbers together, and all the variables

5x-(-25x+75)+15=0

We get rid of parentheses

5x+25x-75+15=0

We add all the numbers together, and all the variables

30x-60=0

We move all terms containing x to the left, all other terms to the right

30x=60

x=60/30

x=2

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