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erma4kov [3.2K]
3 years ago
15

In 2012 your car was worth $10,000. In 2014 your car was worth $8,850. Suppose the value of your car decreased at a constant rat

e of change. Define a function f to determine the value of your car (in dollars) in terms of the number of years t since 2012.
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

The function to determine the value of your car (in dollars) in terms of the number of years t since 2012 is:

f(t) = 10000(0.9407)^t

Step-by-step explanation:

Value of the car:

Constant rate of change, so the value of the car in t years after 2012 is given by:

f(t) = f(0)(1-r)^t

In which f(0) is the initial value and r is the decay rate, as a decimal.

In 2012 your car was worth $10,000.

This means that f(0) = 10000, thus:

f(t) = 10000(1-r)^t

2014 your car was worth $8,850.

2014 - 2012 = 2, so:

f(2) = 8850

We use this to find 1 - r.

f(t) = 10000(1-r)^t

8850 = 10000(1-r)^2

(1-r)^2 = \frac{8850}{10000}

(1-r)^2 = 0.885

\sqrt{(1-r)^2} = \sqrt{0.885}

1 - r = 0.9407

Thus

f(t) = 10000(1-r)^t

f(t) = 10000(0.9407)^t

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Answer:

So to figure that out you would take the money that he spend which was 18, each pack of gum cost 3, so to figure out the question you would simply divide 18 by 3 which would give you 6.

so how would you check that answer you could take 6 and multiple by the cost of each pack which would give you 18.

so answer is 6.

Step-by-step explanation:

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3 years ago
You can buy 5 cans for green beans at the Village Markets for $3.70. You can buy 10 of the same cans of beans at Sam’s Club for
mihalych1998 [28]

The place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

<h3>Unit rate</h3>

Village market:

  • Green beans = 5 cans
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Unit rate = Total cost / green beans

= 3.70 / 5

= $0.74 per can

Sam's club:

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Unit rate = Total cost / green beans

= 5.90/10

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Therefore, the place with the best buy between village market and Sam's club is Sam's club at $0.59 per can.

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Snezhnost [94]

Answer:

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