College

An electronic games manufacturer producing a new product estimates the annual sales to be 7000 units. Each year, 1% of the units that have been sold will become inoperative.

So, 7000 units will be in use after 1 year, [tex]$7000 + 0.99(7000)$[/tex] units will be in use after 2 years, and so on.

How many units will be in use after [tex]$n$[/tex] years?

Answer :

Final answer:

To find out how many units will be in use after n years, we can use the formula: In_use = 7000 * (0.99)^n

Explanation:

To find out how many units will be in use after n years, we can use the formula:

In_use = 7000 * (0.99)n

Where n represents the number of years. Let's say we want to find out how many units will be in use after 5 years:

In_use = 7000 * (0.99)5 = 7000 * 0.95099 = 6656.93

Therefore, approximately 6657 units will be in use after 5 years.