Question

Joes Enough income has been increasing each year by the same dollar meal the first year his income was $22,000 in the fourth year his income was $24,100 in which year was his income 33,900

Answer 1

In the 23rd year his income was of $33,900.

Explanation:

Joe's income has been increasing each year by the same dollar amount.

This means that his salary after t years is given by:

`S(t) = S(0) + at`

In which S(0) is the initial salary and a is the yearly increase.

The first year his income was $22,000

This means that
`S(0) = 22000`. So

`S(t) = S(0) + at`

`S(t) = 22000 + at`

In the fourth year his income was $24,100

S(4) = 24100, and thus, we use this to find a.

`S(t) = 22000 + at`

`24100 = 22000 + 4a`

`4a = 2100`

`a = (2100)/(4)`

`a = 525`

So

`S(t) = 22000 + 525t`

In which year was his income 33,900

This is t for which S(t) = 33900. So

`S(t) = 22000 + 525t`

`33900 = 22000 + 525t`

`525t = 11900`

`t = (11900)/(525)`

`t = 22.67`

Rounding up, in the 23rd year his income was of $33,900.