Lena has $5520 in her bank account and makes automatic $690 monthly payments on a cell phone bill. Ifshe stops making deposits to that account, when would the automatic payments make the value of theaccount zero?The value of the account would be zero inmonths.

Respuesta :

Lena has $5520 in her bank

she makes $690 monthly payment on a cell phone

Since she is making $690 monthly

In the first month

$5520 - $690 = $4830

The balance after the first withdraw is $4830

For the second month

$4830 - $690 = $ 4140

Third months

$4140 - $690 = $3450

Fourth month

$3450 - $690 = $2760

Fifth month

$2760 - $690 = $2070

Sixth month

$2070 - $690 = $1380

Seventh month

$1380 - $690 = $690

Eigth month

$690 - $690 = $0

Alternatively

We set up an equation

Let the number of month be x

since she is withdrawing $690 every month

$5520 - $690 * x = 0

5520 - 690x = 0

collect the like terms

5520 = 0+ 690 x

690x = 5520

divide both sides by 690

690x / 690 = 5520 / 690

x = 8

The account will be zero after 8 months

The answer is 8

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