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VikaD [51]
3 years ago
7

A car was purchased for $25,000. Research shows that the car has an average yearly depreciation rate of 18.5%. Create a function

that will determine the value V(t), of the car t years after purchase. Determine to the nearest cent, how much the car will depreciate from year 3 to year 4
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer:

V(t) = 25000 * (0.815)^t

The depreciation from year 3 to year 4 was $2503.71

Step-by-step explanation:

We can model V(t) as an exponencial function:

V(t) = Vo * (1+r)^t

Where Vo is the inicial value of the car, r is the depreciation rate and t is the amount of years.

We have that Vo = 25000, r = -18.5% = -0.185, so:

V(t) = 25000 * (1-0.185)^t

V(t) = 25000 * (0.815)^t

In year 3, we have:

V(3) = 25000 * (0.815)^3 = 13533.58

In year 4, we have:

V(4) = 25000 * (0.815)^4 = 11029.87

The depreciation from year 3 to year 4 was:

V(3) - V(4) = 13533.58 - 11029.87 = $2503.71

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fomenos
SFF = (r/n)/{(1+r/n)^nt-1} ------- where SFF = Sinking fund factor, r = Annual interest rate, n= number of payments per year, t = number of years

Substituting,
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5 0
3 years ago
A map uses a scale of 1 centimeter = 200 meters.
strojnjashka [21]

Answer:

The answer should be A.) 25 CM

Step-by-step explanation:

A kililometer is 5000 meters, so all you really have to do is <u><em>divide 5000 meters by 200 meters</em></u> and that gets you 25, which is 25 CM. So the answer is A.) 25 CM

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2 years ago
Jack wants to share his candy with friends. Right now he has 4 1/3 pieces of chocolate. How many friends can he give 1/2 a candy
cricket20 [7]

Answer:

8 Friends

Step-by-step explanation:

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8.66667

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Step-by-step explanation:

8+8=16 16+16+16=48

5 0
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Answer:

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Step-by-step explanation:

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