Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. How much money will he save if he pays cash for the computer instead of paying for it in monthly payments?

Respuesta :

The amount of money saved by the person is [tex]\boxed{\$\ 96.01}[/tex].

Further explanation:

Given:

The person buys the computer with a down payment of [tex]\$\ 510[/tex] and monthly payments of [tex]\$\ 35.75[/tex] for [tex]8\text{ months}[/tex].

The cost of the computer if the person pays cash for the computer is [tex]\$\ 699.99[/tex].

Calculation:

The monthly payment by the person is [tex]\$\ 35.75[/tex] for [tex]8\text{months}[/tex].

The payment made by the person in [tex]8\text{months}[/tex] can be calculated as follows:

[tex]\boxed{8\times 35.74=216}[/tex]

This implies that the payment by the person in [tex]8\text{ months}[/tex] is [tex]\$\ 216[/tex].

The down payment made by the person to buy the computer is [tex]\$\ 510[/tex].

Therefore, total payment done by the person is calculated as follows:

[tex]\boxed{510+286=796}[/tex]

This implies that the total payment to be paid by the person in downpayment and monthly payment is [tex]\$\ 796[/tex].

The cost of the computer is [tex]\$\ 699.99[/tex] if the person pays cash for the computer.

Therefore, the person buys the computer in [tex]\$\ 796[/tex] if he is paying monthly payment that is more than the actual cost of the computer.

The loss of the person to buy the computer can be calculated as follows:

[tex]\boxed{796-699.99=96.01}[/tex]  

The loss of the person is [tex]\$\ 96.01[/tex].

Therefore, the amount of money saved by the person is [tex]\boxed{\$\ 96.01}[/tex].

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Mr. Hower, computer, monthly payments, down payment, paying, cash, actual cost, algebra, 699.99, 510, 35.75, saves money.