3 years ago

Keelin wants to find the value of t in the equation 1/3 (15t-30) =50 Her work is shown below.

Mathematics

1 answer:

slavikrds [6]3 years ago

7 0

Answer:

distrubutive

Step-by-step explanation:

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Since the price is given by an exponential function, the decline in price is exponential.

The component will cost $36.8475 in three years.

Step-by-step explanation:

The equation for the price of a component has the following format:

$P(t) = P(0)(1-r)^{t}$

In which P(t) is the price after t years, P(0) is the initial price, and r is the rate that the price decreases.

Since the price is given by an exponential function, the decline in price is exponential.

The price of a computer component is decreasing at a rate of 15% per year.

This means that $r = 0.15$

Component costs $60 today

So P(0) = 60. Then

$P(t) = P(0)(1-r)^{t}$

$P(t) = 60(1-0.15)^{t}$

$P(t) = 60(0.85)^{t}$

What will it cost in three years?

This is P(3).

$P(t) = 60(0.85)^{t}$

$P(3) = 60(0.85)^{3} = 36.8475$

The component will cost $36.8475 in three years.

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