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34 votes
34 votes
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.

User Benz
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1 Answer

25 votes
25 votes

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

User Fatfatson
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