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pickupchik [31]
3 years ago
14

The value of a car with an initial purchase price of $15,250 depreciates by 16% per year. How much is the car worth after 6 year

s? Find f(6):
a=15,250

r=0.016

x=6

Please correct me if my rate is wrong please provide the work.
Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

$13842.43

Step-by-step explanation:

Given data

Value of car=$15,250

Rate of depreciation= 16%

Time = 6 years

We can use the exponential function below to model the value of the car after 6 years

v(t)= a(r)^x

But r= 1-0.016----------Because the value is depreciating

a=15,250  

r=0.016  

x=6

Substitute

v(t)= 15250(1-0.016)^6

v(t)=  15250(0.984)^6

v(t)=  15250*0.9077

v(t)= $13842.43

Hence the value will be $13842.43 after 6 years

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Persia make a flower arrangement using the eight longest flowers which is the combined height of flowers Persia uses
andriy [413]

Answer:

Persia should measure the length of each flower that she used in creating this flower arrangement and add up all the values to get the total height (i.e., the combined height) of the eight flowers used. Make sure to keep the units consistent all throughout the calculation to avoid any errors. For example, if centimetres are used to measure height of one flower, use centimetres all throughout and not switch to using inches at any point.

Hope that answers the question, have a great day!

6 0
3 years ago
In a recent year in Tennessee, there were 55 telephones for every 100 people. What was the ratio of phones to people?
Feliz [49]

Answer:

Step-by-step explanation:

I think that it would be 55/100

4 0
3 years ago
Read 2 more answers
Points J, K and L are collinear with J between L and K. If KJ = 2x-3, LJ= 4x-8, solve for x:
notsponge [240]

Your question is incomplete, here is the complete form.

Points J, K and L are collinear with J between L and K.  If KJ = 2x - 3, LK = 9x + 7 and LJ = 4x - 8,  solve for x:

Answer:

The value of x is -6 ⇒ B

Step-by-step explanation:

∵ J, K, and L are collinear

→ That means they form a straight segment

∵ J is between K and L

→ That means J divides LK into two segments KJ and LJ

∴ LK = KJ + LJ

∵ LK = 9x + 7

∵ KJ = 2x - 3

∵ LJ = 4x - 8

→ Substitute them in the equation above

∴ 9x + 7 = (2x - 3) + (4x - 8)

→ Add the like terms in the right side

∵ 9x + 7 = (2x + 4x) + (-3 - 8)

∴ 9x + 7 = 6x + -11

∴ 9x + 7 = 6x - 11

→ Subtract 7 from both sides

∵ 9x + 7 - 7 = 6x - 11 - 7

∴ 9x = 6x - 18

→ Subtract 6x from both sides

∵ 9x - 6x = 6x - 6x - 18

∴ 3x = -18

→ Divide both sides by 3

∵ \frac{3x}{3}=\frac{-18}{3}

∴ x = -6

∴ The value of x is -6

8 0
3 years ago
What is the product of 3 square root 7 and 17 square root 14 in simplest radical form ​
Aleks [24]

3 \sqrt{7}  \times 17 \sqrt{14}

This is the problem that we need to solve. The best way to get about it is to first:

  1. Multiply the constant numbers (3 and 17). 3×17 is 51.
  2. Next multiply the radicals.
  3. \sqrt{7}  \times   \sqrt{14}  =  \sqrt{7 \times 14}  =  \sqrt{108}
  4. Simplify the squareroot of 108 since it is 49 times 2. It would be equal to 7 squareroots of 2.
  5. Our final answer would be:
  6. 51 \times  7\sqrt{2}  = 357 \sqrt{2}
  7. 51 x 7 is 357, so the answer above is right.

The skills needed are multiplication, mulitplication of radicals, and simplifying radicals, so if you want to review anything use these as reference.

Hope you understood and have a nice day!!

3 0
3 years ago
Find an explicit formula for the arithmetic sequence -31,-27,-23,-19,...
Yuri [45]
First term (a) = -31

Common Difference (d) = -27 - (-31) = -27 + 31 = 4

nth term = a + (n - 1)d = -31 + (n - 1)4 = -31 + 4n - 4 = 4n - 35

Hence, the formula is 4n - 35.
6 0
3 years ago
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