D'angela opened a savings account and deposited $65 into it. She wants to have $500 in her savings account five months from now. She is going to deposit the same amount of money, m, into the account each month for the next five months. The of she must save

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Answer:

The equation is   [tex]65+5m=500[/tex]

[tex]m=\$87[/tex]

Step-by-step explanation:

The question is

Write an equation that helps D'angela determine the amount of money she must save each month

Let

m ----> the amount of money to deposit into the account each month for the next five months

we know that

The initial amount deposited plus the amount m multiplied by 5 must be equal to $500

so

The linear equation that represent this problem is

[tex]65+5m=500[/tex]

solve for m

subtract 65 both sides

[tex]5m=435[/tex]

Divide by 5 both sides

[tex]m=\$87[/tex]