A new car is purchased for 16000 dollars. The value of the car depreciates at 6.25%
per year. To the nearest tenth of a year, how long will it be until the value of the car is
11500 dollars?

Answers

Answer 1

Answer:

5.1 years

Step-by-step explanation:

the formula for fixed rate depreciation is

Value after t years = initial value ( 1 - r )^t

where r = depreciation rate = 6.25% = 0.0625

t = length of time in years (we are asked to find this

Value after t years = given as $11,500

initial Value = given as $16,000

Substituting this into equation

11,500 = 16,000 (1 - 0.0625) ^t

11,500 = 16,000 (0.9375) ^t  (divide both sides by 16,000 and rearrange)

0.9375^t = 11,500 / 16000

0.9375^t = 0.71875  (taking log of both sides)

t log 0.9375 = log 0.71875

t =   log 0.71875 / log 0.9375  (use calculator)

t = 5.12

t = 5.1 years (nearest tenth)


Related Questions

In one day a movie store rented out 10 comedies. If the ratio of comedies rented to action movies rented was 2 : 1, how many action movies were rented?

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Solve the system by graphing
X-y=-9
3x + 4y = 8

Answers

Answer:

(-4,5)

Step-by-step explanation:

(-4,5) is the solution.

what’s the value of x and what’s the angle?

Answers

Answer:

X=9 Angle= 55

Step-by-step explanation:

The sum of all the angles of a triangle is always 180

so we add the angles

50 + 75 + (5x + 10)=180

125 +5x+ 10=180

135 +5x = 180

5x= 45

x=9

to find the angle we substitute x for 9

5(9)+10=55

Please help me!!!!! I need answers!!!!!

Answers

Answer: yeeet

Step-by-step explanation:

dap

Answer: it’s blurry but (-6,7) (-6,3)

Step-by-step explanation:

The graph shows a line and two similar triangles.

What is the equation of the line?
O y = 5x
О y= 3х
O y= 3/5x
O y= 5/3x


Answers

Answer:

y= 5/3x

Step-by-step explanation:

m= rise/run

up 5, right 3

the slope is 5/3 and the y-intercept is 0

Answer:

y= 5/3x its D

Step-by-step explanation:

HOPE THIS HELPS

am i right? i just need to make sure

Answers

Answer:

im pretty sure

Step-by-step explanation:

Answer:

I think it is

Step-by-step explanation:

Can anyone help with this?? (algerbra) ​

Answers

the answer is c (x+21) and (x-2) you have to find two numbers that multiply yo give you -42 and add to give you 19
The answer to this question is
(x-2)(x+21)
Which would be the third option on your screen. Hope this helped!

How much money will you have after 8 years if you invest $4300 at an interest rate of 2% compounded continuously?

Answers

Answer:

3612

Step-by-step explanation: i used a caculator and it is compecaited have a good day may i please have brainlyest thanks

3612
Hope it use full have a great day

If a ramp has a slope of 1/10 what is the angle of elevation for the ramp

Answers

Answer:

What angle should a ramp be?

Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade). Maximum slope for power chairs should be 1.5" rise to 12" length (7.1 degree angle; 12.5% grade). Minimum width should be 36" (inside rails) - (48" is ideal)

Step-by-step explanation:

Hope it helps

Please help!!! Will give brainliest!!

Answers

It’s B the answer is b hope it helps

Look at the question below.

Answers

Answer:

d. 28

Step-by-step explanation:

i hope this helps :)

D. 28 is the correct answer

You ask 8 students how many letters are in their first name. One person says 6. The other 7 students say a different number of letters. Find the experimental probability of someone having 6 letters in their name based on this experiment.

Answers

Answer:

Step-by-step explanation:

Since only one out of eight said they had six letters

P(6)=1/8

The experimental probability of someone having [tex]6[/tex] letters in their name based on this experiment  is [tex]\frac{1}{6}[/tex] .

What is experimental probability ?

Experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.

[tex]Experimental \ probability = \frac{Total \ number \ of \ outcomes}{Number \ of \ favorable \ outcomes}[/tex]

We have,

Total number of students [tex]=8[/tex]

Person ​having [tex]6[/tex] letters in the name [tex]=1[/tex]

Other [tex]7[/tex] person says different number of letters.

So,

Experimental probability of someone having [tex]6[/tex] letters in their name is determined ;

[tex]Experimental \ probability = \frac{Total \ number \ of \ outcomes}{Number \ of \ favorable \ outcomes}[/tex]

                                         [tex]=\frac{1}{6}[/tex]

So, Experimental probability of someone having [tex]6[/tex] letters in their name is [tex]\frac{1}{6}[/tex] , which is determined using the above given formula.

Hence, we can say that the experimental probability of someone having [tex]6[/tex] letters in their name based on this experiment  is [tex]\frac{1}{6}[/tex] .

To know more about experimental probability click here

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Which of the following best describes the solution of the system of equations below?

Answers

Answer:

D

Step-by-step explanation:

-8x + y = -3..... (equ 1)

9x - y = 3.....(equ2)

y = 8x - 3

-y = -9x + 3(divide both sides by -1*)

hence ..y = 9x - 3

then write y = y in terms of x

which will give you 8x - 3 = 9x - 3

and solve for x which will be N/A

What is “f”
Thanks I really appreciate it

Answers

Answer:

19°

Step-by-step explanation:

19° + 24° + x = 180°

43° + x = 180°

x = 137°

24° + 137° + f = 180°

161° + f = 180°

f = 19°

Write the equation for the line that goes through the point (5, 12) with a slope m = 10​

Answers

Answer:

Point-slope form:  y - 12 = 10 (x - 5)

Slope-Intercept form:  y= 10x - 38

Step-by-step explanation:

 im not fully sure which equation ur looking for but i think thats right lol. hopefully this helps ! :)

Which Venn diagram shows the correct relationship among different sets of numbers and the correct placement of -648?

Answers

Answer:It’s A

Step-by-step explanation:

Which function is equivalent to y = 2(x – 4)^2 + 8?
A. y= 2x² + 24

B y=2x^2 – 16x + 40

C y= 2x^2 – 16x +48

D y=2x² – 8x + 24

Answers

Answer:

B: y = 2x² - 16x + 40

Step-by-step explanation:

You can find this simply by expanding the given function:

y = 2(x - 4)² + 8

y = 2(x² - 8x + 16) + 8

y = 2x² - 16x + 32 + 8

y = 2x² - 16x + 40

Given m||n find the value of x. (5x-4) (4x-2)

Answers

Multiple each term in the first parentheses by each term in the second parentheses (FOIL)

(5x*4x) (5x*-2) (-4x*4) (-4*-2)

20x^2– 10x — 16x + 8

= 20x^2– 26x + 8

please answer and show work ​

Answers

9514 1404 393

Answer:

  y = 3/4x -7/4  or  y = 0.75x -1.75

Step-by-step explanation:

The two point form of the equation of a line is useful when you are given 2 points and asked for the equation.

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

  y = (35 -14)/(49 -21)·(x -21) +14 . . . . . . fill in given points

  y = 21/28(x -21) +14 . . . . . . . . . . . . . . . simplify a bit

  y = 3/4(x -21) +14 . . . . . . . . . . . reduce the fraction

  y = 3/4x -15 3/4 +14 . . . . . . . .eliminate parentheses

  y = 3/4x -7/4  or  y = 0.75x -1.75

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

M = 0.65146579

t=0

simplified = M ( t ) = 0.65146579 t

Step-by-step explanation:i really hope this helps you

A store is having a sale in which all items are marked30%off.4a.) Which equation represents the selling price,s, in dollars, of an item originally pricedpdollars after a markdown of30%?

Answers

Answer:

p=0.7s

Step-by-step explanation:

not 100% sure

Summer deposited $5,800 into an account. She made no additional withdrawals or deposits. Summer earned 1.35% annual simple interest on the money in the account.

What was the balance in her account at the end of 3.5 years?

Enter the amount in the account in the box.

$

Answers

Answer:

5800 x 0.0135 = 78.3

78.3 x 3 =234.9

78.3/2 = 39.15

234.9 + 39.15 = 274.05

Your answer is 274.05

Step-by-step explanation:

Hope this helps!

The balance in her account at the end of 3.5 years is  $6074.05.

What is the balance in her account at the end of 3.5 years?

The balance in her account is the sum of the interest earned and the amount of money deposited.

Simple interest = amount deposited x time x interest rate

$5800 x 0.0135 x 3.5 = $274.05

Balance = $274.05 + $5800 = $6074.05

To learn more about interest, please check: https://brainly.com/question/26164549

SOMEBODY PLEASE HELP ME it’s due at 11:59!

Answers

Answer: +0.7 I’m pretty sure I THINK I’m sorry if it’s wrong

Step-by-step explanation:

I just Divided 50/75

Sandra has taken 3 Test this Quarter. She has scored an 78%, 76%, and a 93%. Sandra wants to earn at least and 85% for the Quarter. What score will she need to earn on her Final Test in order for her to Average at least an 85% for the Quarter? Then Explain what your answer means.

Answers

Answer:

I think at least a 86% hope this helps, hope i am right

Step-by-step explanation:

I got 86% as the answer

On a coordinate plane, pre-image rectangle has points (0, 0), (6, 0), (6, negative 3), (0, negative 3. The image has points (0, 0), (2, 0), (2, negative 1), (0, negative 1).
Compare the ordered pairs of the pre-image to the image to answer these questions.

Is the dilation an enlargement or reduction?

The point of dilation is about what coordinate?

What is the scale factor?

Answers

Answer:

Is the dilation an enlargement or reduction?

Reduction

The point of dilation is about what coordinate?

0,0

What is the scale factor?

1/3

Step-by-step explanation:

The dilation is a reduction. The point of dilation is about coordinate (0,0).  The scale factor is 1/3.

What is a transformation?

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

On a coordinate plane, the pre-image rectangle has points (0, 0), (6, 0), (6, -3), and (0, -3).

The image has points (0, 0), (2, 0), (2, -1), and (0, -1).

The required figure has been attached below which represents the dilation.

As we can see that the dilation is a reduction.

The point of dilation is about coordinate (0,0).

This result of dilating a given triangle with a scale factor is 1/3.

To learn more about the transformations click here :

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Which phrase matches the algebraic expression?

12(h)(b)

A. One-half plus the product of h and b
B. One-half minus the product of h and b
C. One-half of the product of h and b
D. The quotient of h and b

Answers

Answer:

it is option one half of the product of h and b

option c

For a 3 1/2

mile trip, a taxi charges $17.50. How much does the taxi charge per mile?

Answers

Answer:

5

Step-by-step explanation:

17.5/3.5=5

Answer:

$5 per mile!

Step-by-step explanation:

You are trying to find the unit rate,

17.5 ÷ 3.5 = 5

You can check this by..

5 x 3 miles = $15

Half of 5 = 2.5

15 + 2.5 = $17.50

Help, my homework is due at 11:59 i got 5 minutes

Answers

Answer:

Slope is 18x

Step-by-step explanation:

It goes up 18 and across one

plz help me i need this if anyone plz help 10 points for helping plz

Answers

Answer:

What's the question

Step-by-step explanation:

Answer:

U need to put za question dude

Step-by-step explanation:

Mike had a photo made into a postage stamp the photo was 7 by 9.5 inches and the stamp was 1.4 by 1.9 inches what is the scale factor of dilation

Answers

The scale factor would be 0.2 because you have to divide the new stamp by the original so it would be 1.9/9.5=0.2 and same with 1.4/7=0.2
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