SOLUTION: Is it D? I want to check my answer. Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, sh

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Is it D? I want to check my answer. Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, sh      Log On

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Question 1184499: Is it D? I want to check my answer.
Esme earns a net salary of $2,400 per month. She already has a savings account that has $100 in it. After paying her expenses every month, she’ll be able to add $100 to her savings account. Esme also plans to purchase a car priced at $20,000 using a no-interest loan. She will make a $300 payment on the loan every month. In how many months will Esme have enough money saved to pay off her loan completely?
A. 44.45 months
B. 45.75 months
C. 47.75 months
D. 49.75 months
E. 50.45 months

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

yes, it is D
The amount Esme earns as net salary = $2400
The amount she already has in a savings account = $100+
The amount she would be able to add to her savings account every month = $100
The cost of the car Esme plans to purchase on the no interest loan, A = $20000+
The amount she will make as payment on the loan every month, P = $300 per month
Let 'x' represent the number of month Esme will be able to pay off her loan completely

20000+=+100+%2B+300x+%2B+100x+
20000=+100+%2B+400x+
x+=+%2820000+-+100%29%2F400
x+=+49.75+