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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?

Sagot :

Answer:

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

Step-by-step 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 ([tex]C_{o}[/tex]), measured in monetary units, and week earning ([tex]R[/tex]), measured in monetary units, multiplied by a number of weeks ([tex]n[/tex]), dimensionless:

[tex]C =C_{o} + n\cdot R[/tex] (1)

Now we clear the number of weeks within the formula:

[tex]n = \frac{C-C_{o}}{R}[/tex]

If we know that [tex]C_{o} = \$\,145[/tex], [tex]C = \$\,450[/tex] and [tex]R = \$\,36[/tex], then the number of weeks is:

[tex]n = \frac{\$\,450-\$\,145}{\$\,36}[/tex]

[tex]n = 8.472[/tex]

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

Answer:

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

Step-by-step explanation: