Amanager 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.

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

Step-by-step explanation:

This equation is of the form

, 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.

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%