A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

Answers

Answer 1

Answer:

Value  of the car after depreciation = $800.

Step-by-step explanation:

Formula to get the final value of the car after depreciation of the car price,

Final value = [tex]\text{Initial value}(1-\frac{r}{100})^{\frac{t}{n} }[/tex]

Here, t = Number of years after the purchase

n = Number of years for the depreciation of price by half

By substituting values in the formula,

Final value = [tex]40000(1-\frac{50}{100})^{\frac{17}{3}}[/tex]

                  = [tex]40000(0.5)^{\frac{17}{3}}[/tex]

                  = $787.451

                  ≈ $800 [Nearest hundred dollars]

Therefore, after 17 years value of the new car will be $800.


Related Questions

3.2h+4=23.2 please help me ​

Answers

Answer:

h = 6

Step-by-step explanation:

Write 3/15 3/7 3/21 3/8 3/11 in ascending order

Answers

Answer:

The sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

Step-by-step explanation:

Using the given inputs:

3/15 3/7 3/21 3/8 3/11

As the least common denominator (LCD) is: 9240

Rewriting as equivalent fractions with the LCD:

3/15                  3/7                       3/21                 3/8                     3/11

1848/9240      3960/9240       1320/9240        3465/9240        2520/9240

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

    3/21                3/15                 3/11                     3/8                  3/7

1320/9240  < 1848/9240 < 2520/9240  < 3465/9240   <   3960/9240

Therefore, the sorted inputs in order from least to greatest is:

3/21 < 3/15 < 3/11 < 3/8 < 3/7

Express 432 as a product of powers of its prime factors.

Answers

We can see easily this is an even number, so let's first divide by 2.

432=2*216

We can see the remaining 216 is still even so we continue.

432=2*2*108

And continue

432=2*2*2*54

and continue

432=2*2*2*2*27

Now we can see that 27 is a multiple of 3 in fact its 3^3.

So we can conclude that 432=[tex]2^4*3^3[/tex]

Please help!! Needed asap, due soon!!:
Given line m and point O not on line m, the image of line m is constructed through a dilation centered at O with a scale factor of 3. Which of the following best describes the image of line m?

A. a line parallel to line m

B. a line intersecting with line m

C. a line passing through point O

D. a line perpendicular to line m

Answers

Answer:

The correct answer is A

Step-by-step explanation:

A line parallel to M

Okay i have to do a whole test and i need help!!
The picture is up there!

Answers

Answer:

a is triangular prism :)

Answer:

Before you take a proctored exam, make sure have approved ID verification photos ... Photo verification may take up to 5 days to process, so please make sure to ... approval above, you would also need to complete onboarding exam 5 days

Step-by-step explanation:

hi I need help with this question

Answers

Answer:

Use your calculator to find the value of:

Write all the figures on your calculator's display for th

Which expression represents the sentence "five times a number, n"?

Answers

Answer:

5n

Step-by-step explanation:

:)

Answer:5n

Step-by-step explanation:

Plsss help this is a grade!!!

Answers

total = 11x+8

add like terms

Answer:

The answer is 11x +8

Step-by-step explanation:

Please markme the brainliest,5 stars, and a thanks!Have a good day!

Factorising

factorise 8p - 4

Answers

Answer:

4(2p−1)

Step-by-step explanation:

4(2p−1)  

-Tay did this oop-

i dont know how to do this please help ​

Answers

Easy. Y=64x+12 I don’t know if this is standard form but

3 left parenthesis x space minus space 8 right parenthesis greater than negative 4 space plus space x

Answers

Answer:

The solution of the given inequality

          x > 10

Step-by-step explanation:

Step(i):-

Given inequality  

                     3 ( x-8) > -4 + x

Multiply

                   3 x - 24 > -4 +x

subtract 'x' on both sides , we get

                 3 x - 24 - x > - 4 + x - x

        ⇒     2 x - 24 > - 4

Step(ii):-

Adding '2'4' on both sides , we get

        ⇒     2x - 24 + 24 > -4 +24

      ⇒     2 x > 20

Dividing '2' on both sides , we get

               [tex]\frac{2x}{2} > \frac{20}{2}[/tex]

                x > 10

Final answer:-

The solution of the given inequality

          x > 10

3.3.3.3.3^2
Write the expression as a single power

Answers

Answer:

I think

Step-by-step explanation:

I think its 3 ^7 but i could be wronf

The difference between six times a
number and one is seventeen

Answers

Answer: 6x-1=7 (the difference means substract ion between 6 times a number, which is x, equals 7)

In 2p

, 2 is known as​

Answers

Answer:

the variable

Step-by-step explanation:

A variable is a quantity that may change within the context of a mathematical problem or experiment. for example

                                coefficient->2p<-variable

ok what is this 2(x +3)

Answers

2(x + 3)

Multiply the 2 by x and by 3

= 2x + 6

Answer:

2(x+3)=15     x=6

Step-by-step explanation:

(3xy²)³ × (- 4x²y) =

Answers

Answer:

− 108 x 5 y 7

Step-by-step explanation:

My computer wont allow it but the 5 and the 7 are exponents

Answer:

[tex]-108x^{5}y^{7}[/tex]

Step-by-step explanation:

Simplify using the laws of exponents (there are more rules than listed, these given rules are just the ones that come into play here);

- when there is a term in parenthesis with an exponent outside, the term's exponent gets multiplied by the exponent outside

- when multiplying two exponents, one can only combine terms with the same base, and one must add the exponents

[tex](3xy^{2})^{3}*(-4x^{3}y)\\\\=(3^{3}*x^{3}*y^{2{^{3}}}) *(-4x^{2}y)\\\\=(27x^{3}y^{6})(-4x^{2}y)\\\\=-108x^{5}y^{7}[/tex]

Please help and make it right..

Answers

Answer:

2.67 and 4.67 I think .........

Answer:

first blank is 2.67

second blank is 4.67

Step-by-step explanation:

that should be right, hope this helps!

Find the value of x in the equation 2(x +1)=14

Answers

Answer:

the x=6

Step-by-step explanation:

2(6+1)=14

2(7)=14

14=14

x=6. the answer is 6

8x + 6 – 7x = 6
I need some help

Answers

Answer: x = 0

Step-by-step explanation:

5(2Y - 3) – 4y = 8 – 2y - 15
Justify this please

Answers

Answer:

y=1

Step-by-step explanation:

Let's solve your equation step-by-step.

5(2y−3)−4y=8−2y−15

Step 1: Simplify both sides of the equation.

5(2y−3)−4y=8−2y−15

(5)(2y)+(5)(−3)+−4y=8+−2y+−15(Distribute)

10y+−15+−4y=8+−2y+−15

(10y+−4y)+(−15)=(−2y)+(8+−15)(Combine Like Terms)

6y+−15=−2y+−7

6y−15=−2y−7

Step 2: Add 2y to both sides.

6y−15+2y=−2y−7+2y

8y−15=−7

Step 3: Add 15 to both sides.

8y−15+15=−7+15

8y=8

Step 4: Divide both sides by 8.

The value of y is 1

Given the equation 5(2Y - 3) – 4y = 8 – 2y - 15

Expand

10Y - 15– 4y = 8 – 2y - 15

6y - 15 = -7 - 2y

Collect the like terms

6y + 2y = -7 + 15

8y = 8

Divide both sides by 8

8y/8 = 8/8

y = 1

Hence the value y of is 1

Learn more here: https://brainly.com/question/20596193

(-2) x (-4.5)=? What’s the answer

Answers

Step-by-step explanation:

Given

(-2) * ( - 4.5)

= 9

Hope it will help :)

Please help someone due

Answers

Answer:

Quadratic

Step-by-step explanation:

A quadratic equation is an equation that contains an input variable to the second degree. This means that one of the (x) variables is squared. The given equation satisfies this condition (with its term ([tex]3x^{2}[/tex])), and therefore it is a quadratic equation.

What is the slope for this table?

Answers

Answer:

7

Step-by-step explanation:

[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]

the answer is 7, so the first one

Directions:

Using the digits 1 to 6, at most one time each, fill in the
boxes so that top two equations are equal and the
bottom equation has the greatest value.
You can move the numbers around on the graph to
help.
First Attempt:
column 1
column 2

Answers

-6+3=-3
-2-1=-3
-4-(-5)=1

The sale price of every item in a store is 65% of its usual price. The usual price of a tennis racket is $70, what is its sale price?

Answers

Answer: 24.50$

Step-by-step explanation:

Please help with math ASAP, will give brainliest!!

Answers

Answer:

45

60

135

150

Step-by-step explanation:

Remember:

1 radian is 57.3 degrees

The difference of two numbers is 3. Their sum is 13. Which pair of equations can be used to determine, X, first number, and y, second number.

i just need the answer!

Answers

Answer:

x = 8; y = 5

Step-by-step explanation:

x + y = 13

x - y = 3

8 + 5 = 13

8 - 5 = 3

Answer: The two numbers are 8 and 5

8is first and 5 is second

Step-by-step explanation:

x-y=3

x+y=13

8-5=3

8+5=13

[Help Asap] For each ordered pair, determine whether it is a solution to the system of equations.

Answers

Answer:

(-4,-4)

Step-by-step explanation:

6x - 7y = 4

6(-4) - 7(-4) = 4

-24 + 28 = 4

4 = 4 This is correct to the first equation.

Now let us try the second equation.

-5x + 3y = 8

-5(-4) + 3(-4) = 8

20 - 12 = 8

8 = 8 This is also correct to the second equation.

Hope this helps, thank you !!

the measure of the hypotenuse is? (side c)

Answers

answer: 25
explanation:
7² + 24² = c²
49 + 576 = c²
625 = c²
c = √625
c= 25

or just know some pythagorean triples

The answer is 25

Sooooo to find the hypotenuse you gotta use this formula: a^2+b^2=c^2.

Joe got all three of his sons braces for their teeth altogether he paid $3750 write an equation that could be used to find how much the braces were for each son individually.

Answers

Answer:1,250

Step-by-step explanation:

You have to do 3750 Divided by 3 and you get 1,250

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