Question

A manager recorded the number of bicycles sold by his company each quarter. His projected sales after t years is given by the expression below.

575 (1+.018//4)^4t

Which of the following statements best describes the expression?

a.The initial sales of 575 bicycles increases at the rate of 18% over 4 years.
b.The initial sales of 575 bicycles increases at the rate of 4% over 4 quarters.
c.The initial sales of 575 bicycles increases at the rate of 4% over t quarters.
d.The initial sales of 575 bicycles increases at the rate of 18% over t years.

Answer 1

d.The initial sales of 575 bicycles increases at the rate of 1.8% over t years.

Explanation:

This equation is of the form

`y=a(1+(r)/(n))^(nx)`, where a represents the initial amount, r represents the percentage of growth or decay, n represents the number of times per year this growth or decay is compounded, and x represents the amount of time.

575 is in the place of a, so it is the initial value of sales.

0.018, or 1.8%, is in the place of r, so this is the percentage of growth.

4 is in the place of n, so it is the number of times per year the growth is compounded.

This means the initial sales of 575 increases at a rate of 1.8% over t years.

Answer 2

i honestly belive its d.