One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472​

Answers

Answer 1

Given:

Original cost of car = $21000

Rate of depreciation = 15% = 0.15

Time = 5 years

To find:

The value of car after 5 years.

Solution:

Consider the model for car depreciation is

[tex]V=C(1-r)^t[/tex]

where,  C is the original cost, V is the value of the car after t years, and r is the rate  of depreciation.

Substitute C=21000, r=0.15 and t=5 in the above model.

[tex]V=21000(1-0.15)^5[/tex]

[tex]V=21000(0.85)^5[/tex]

[tex]V=21000(0.4437)[/tex]

[tex]V=9317.7[/tex]

[tex]V\approx 9318[/tex]

The value of car after 5 years is $9318. Therefore, the correct option is C.


Related Questions

A packaging company makes package peanuts in two containers, rectangular prisms and cylinders. The rectangular prism has a length of 6 feet, a width of 3 feet, and a height of 5 feet. The cylinder of peanuts has a diameter of 7 feet and a height of 10 feet. How many rectangular prisms contain the same amount of peanuts as one cylinder container? Round your answer to the nearest tenth.

Answers

Answer:

4.3

Step-by-step explanation:

length = 6 feet

width = 3 feet

height = 5 feet

Volume of rectangular prism = length × width × height

= (6 × 3 × 5) feet

= 90 cubic feet

cylinder of peanuts has a diameter of 7 feet and a height of 10 feet

Volume of a cyclinder = πr^2h

π = 3.14

r = diameter / 2

= 7/2 = 3.5 feet

h =10 feet

Volume of a cyclinder = πr^2h

= 3.14 × (3.5)^3 × 10

= 3.14 × 12.25 × 10

= 384.65 cubic feet

How many rectangular prisms contain the same amount of peanuts as one cylinder container = volume of cylinder container / volume of rectangular prism container

= 384.65 / 90

= 4.274

To the nearest tenth = 4.3

Help please within the next hour
Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
a. –9
b. 8
c. 9
d. 36

Answers

c. 9

To complete the square, you take half of the coefficient of b and square it. It's important to note that the value being added will always be positive.

[tex] {ax}^{2} + bx + c[/tex]

[tex]b = - 6[/tex]

[tex] - 6 \div 2 = - 3[/tex]

[tex] = {( - 3)}^{2} [/tex]

[tex] = 9[/tex]

Find 152.875 + 35.4. Express your answer in decimal form.

Answers

Answer:

188.275

Step-by-step explanation:

152.875

 35.4

---------------------

 1   8    8   .  2 57

LINE UP THE DOT

HOPE THIS HELPS!!!!

Jens wanted to go fishing. He went to the
store and purchased the following items,
3 fishing lures at $4.49 each
4 floats at 794 each
12 Leuters at 23¢ each
Nhat was the total bill before tax?

QUESTION 1: what was the total bill before tax?
QUESTION 2: Write an mathematical expression to show how to calculate the total bill before tax. use a calculator to find the value of your expression.​

Answers

Answer:

Question 1: The total cost before tax is $47.99

Question 2: cant help ya there, not that smart sorry..

Step-by-step explanation:

Answer:

I'm just answering this for the points haha

A group of friends were working on a student film that had a budget of $800. They used $568 of their budget on props. What percentage of their total budget did they spend on props?

Answers

Answer:

A group of friends were working on a student film. They spent $270 on props which was 45% of their total budget. What was the total budget for their student fil...

Step-by-step explanation:

Answer:

71%

Step-by-step explanation:

Find 568 out of 800 as a decimal:

568

------  = 0.71

800

Convert the decimal to percent:

0.71 x 100= 71%

I need help with this​

Answers

The answer is 1 and 3.
Because there is no line between the numbers, it’s not a decimal

Hope this helped :)

Answer: obviously 3 and 1

Step-by-step explanation: There are 4 answers in the number line :/  

                                                there are 2 answers in the answer choices

                                                 this is a multi answer question so it is

                                                     3 and 1

how do I graphy y = 2/3x - 1​

Answers

Answer:

Look Below, if I'm wrong then ignore this answer.

Step-by-step explanation:

If we were to use the formula y=mx+b, 2/3 is the slope and (0,-1) is the y intercept, so the x intercept must be about (1.5,0), so the graph is probably

You graph 223 into 66 by taking a shower to solve the stomach

This site shows the occupations with the highest expected growth rates over the period 2014 - 2024. Which occupation is expected to grow at the highest percentage increase? Is this occupation also expected to have the largest increase in the number of jobs? Explain. (site 1)

Answers

Answer:

the healthcare practitioners; and technical occupations.

Explanation:

According to data presented on the graphs, it is reasonable to conclude that the job groups with the highest expected growth rates over the period 2014 - 2024 are the Healthcare practitioners and the technical occupations; which is said to add a total of about 2.3 million jobs.

Penolope earned $50 in may then she earned $60 in june
what percent increase or decrease in Penolope´s monthly earning

Answers

Answer:

You are correct, it is 20% increase as:

(60/50) - 1 = 0.2 = 20%

Help! I'm really confused! (I used Math because I got wrong answers in other subjects)

P.S The Answer isn't A or B :/

Answers

Answer: I would say the first one

Step-by-step explanation:

Answer:

Best Bet probably the last one

Which one is correct

Answers

Answer:

I believe it is systematic system

Step-by-step explanation:

the answer would be systematic sample since he is systematically placing them in every fifth room

Taiga’s teacher asked him to draw a polygon with vertices (–4, –5), (–5, 2), (–5, 3), (–4, 5), (2, 3), and (–3, 0) and to identify the polygon. Taiga drew the polygon below and identified it as a heptagon. On a coordinate plane, points are at (negative 4, negative 5), (negative 5, 2), (negative 5, 3), (negative 4, 5), (2, 3), and (negative 3, 0). Which explains whether Taiga is correct? Taiga is correct because the polygon has six sides. Taiga is correct because the sides have different lengths. Taiga is not correct because the polygon is a hexagon. Taiga is not correct because he drew the polygon incorrectly.

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.

A)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am and she wants to have a coffee break that is 5 minutes longer than usual?

B)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am she wants to have a coffee break that is 10 minutes longer than usual?

Answers

Answer:

8:25 am

Step-by-step explanation:

Answer:

A. 13.33

b.15

Step-by-step explanation:

Solve for x
5x/6-2=8

Answers

X= 8(6-2)/5
X= 8(4)/5
Answer is X= 32/5 or in decimal X= 6.4

Hope it works! Good luck!

what is 4 9/10 as an improper fraction

Answers

Answer:

36/10

Step-by-step explanation:

4*9=36

The value of improper fraction is,

⇒ 49/10

We have to given that,

A mixed fraction to change into an improper fraction is,

⇒ 4 9/10

Since, An improper fraction is a fraction whose numerator is equal to or greater than its denominator.

Now, We can change it as,

⇒ 4 9/10

⇒ (10 × 4 + 9) / 10

⇒ (40 + 9)/10

⇒ 49/10

Therefore, the solution in improper fraction is,

⇒ 49/10

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

What is the following answer the equation 275 4/5 + 20.2
and what is 275 4/5 - 20.2

Answers

Answer: 275 + [tex]\frac{4}{5}[/tex] +20.2 = 296

275 + [tex]\frac{4}{5}[/tex] - 20. = 255.

Step-by-step explanation:

275 + [tex]\frac{4}{5}[/tex]  + 20.2 (

= 275 + 0.8 + 20.2

= 275.8 + 20.2 = 296

275 + [tex]\frac{4}{5}[/tex] - 20.2

= 5 + 0.8 - 20.2 ( [tex]\frac{4}{5}[/tex] = 0.8)

=  275.8 - 20.2 = 255.

I hope this  answer your

Find S, for the series below.
-3,-1, 1, 3, 5, ...
S6 =

Answers

s6 = 7

Step-by-step explanation:

you have to see what kind of pattern is going on in this case it's +2 -3 to -1 is +2, -1 to 1 is +2 and so on so apply that rule to 5 and you'll get the answer 5 + 2 is 7 and that's why it's 6th term in S!!

I hope this helped

A bakery has 72 half gallons of milk. It takes 1 2/3 cups of milk to make a cake. Note that 1 cup = 1/8 half gallon = 0.125 half gallon. How many cakes can the bakery make?

A. 43 cakes
B. 288 cakes
C. 345 cakes
D. 576 cakes

Answers

Answer:

c

Step-by-step explanation:

72 half gallons /( 1 2/3 cup/cake *.125 half gal/cup )   = 345.6   = 345 cakes

.

.

.

mark as brainnliest pls

24 xу - 2 2xy - 2x What's the answer​

Answers

The answer is 2xy-2x you get this by combining like terms

why are there two values of theta if tan theta = 0.4226

Answers

Answer:

[tex]22.91^\circ, 202.91^\circ[/tex]

Step-by-step explanation:

Given that:

[tex]tan\theta=0.4226[/tex]

To find:

The two values of [tex]\theta = ?[/tex]

Solution:

By given equation:

[tex]\theta = tan^{-1}(0.4226)[/tex]

[tex]\theta[/tex] can be equal to [tex]\approx 20.91^\circ[/tex]

Also, we know the property that, [tex]tan\theta[/tex] is positive in the 3rd quadrant.

and following is also true:

[tex]tan\theta = tan(180^\circ+\theta)[/tex]

Therefore, another value possible for [tex]\theta[/tex] can be:

[tex]\theta =180^\circ+22.91\\\Rightarrow \theta \approx 202.91^\circ[/tex]

Therefore, the answer is:

[tex]22.91^\circ, 202.91^\circ[/tex]

The clean up hitter on a baseball team batted in 1/2 of the runs the team scored. The hitter batted in 3 runs. Select the equation that represents the number n of the runs the team scored.

Answers

Answer:

Yes C

Step-by-step explanation:

If multiple people answer i will mark the the first brainliest

Answers

Answer:

nice

Step-by-step explanation:

this is confusing and my stomach really hurts rn and im not in the mood to do geometry so can someone please help me

Answers

Answer:

second, third, and fourth

Second, third and fourth

Anyone who is kind to answer please

Answers

The answer it LxWxH ok

plz help i need it asap

Answers

Answer: it’s B



Explanation:

Please help me with this one I rly need it.ill give you Brainly if I can. 567/9

Answers

Answer:

66.3333333333 depending on the decimal point you'd go to

What is the sum of angles A + B + C?

Answers

180? All triangles add up to 180 degrees

Please help me quick!!
Jenny earns $30 a day working part time at a supermarket. She also earns $12 per hour for
babysitting. How much money does she earn from herTWO DIFFERENT JOBS? (Hint: Use two different
variables)

Answers

Answer: how many hours is she working

Step-by-step explanation:

4(2q - 3) = 8q - 12 | one solution, no solution, or many soulutons

Answers

Answer:

0

Step-by-step explanation:

8q-12=8q-12

0=0

I WILL GIVE BRAINLIEST PLZ ANSWER, RUNNING OUT OF TIME!!!

Answers

Answer:

[tex]inrease \: = 900 - 250 = 650 \\ persent = \frac{650}{250} \times 100 \\ = 65 \times 4 = 260[/tex]

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