Question

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks will he have no more than $450 saved?

Answer 1

Paul will have no more than $ 450 in next 8 weeks.

Explanation:

Answer 2

Paul will have no more than $ 450 in next 8 weeks.

Explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (
`C_(o)`), measured in monetary units, and week earning (
`R`), measured in monetary units, multiplied by a number of weeks (
`n`), dimensionless:

`C =C_(o) + n\cdot R` (1)

Now we clear the number of weeks within the formula:

`n = (C-C_(o))/(R)`

If we know that
`C_(o) = \$\,145`,
`C = \$\,450` and
`R = \$\,36`, then the number of weeks is:

`n = (\$\,450-\$\,145)/(\$\,36)`

`n = 8.472`

Paul will have no more than $ 450 in next 8 weeks.