Amanda takes out a loan of $1,200 from a bank that charges 5.4% interest a year. If she borrows the money for 1.5 years, how much money does she repay

Respuesta :

The total money she repays to the bank is $1297.2.

Given,

Amanda takes out a loan of $1,200 from a bank.

The bank charges 5.4% interest a year.

She borrows the money for 1.5 years.

We need to find the total amount she repays to the bank after 1.5 years.

we have,

Loan amount = $1200

Bank interest rate per year = 5.4%

So,

The interest amount per year:

= 1200 X (5.4/100)
= $64.8

If,

1 year = $64.8

1/2 year = 1/2 x 64.8

1/2 year = $32.4

In 1.5 years the interest amount will be:

1.5 years = 1 year + half-year

               = $64.8 + $32.4

               = $97.2

The total money she needs to pay to the bank after 1.5 years is:

= loan amount + 1.5 interest amount

= $1200 + $97.2

= $1297.2

Thus if she borrows the $1200 for 1.5 years with a yearly interest of 5.4%, she needs to repay $1297.2.

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