lisa borrows $18 000 over 5 years from the bank. The loan is charged at 8.4% p.a. simple interest.
Find the total amount owing at the end of 5 years. (2 marks)
The loan is to be repaid in equal monthly instalments. Calculate the amount of each monthly repayment. (1 mark)

Respuesta :

Answer:

Total amount owing at the end of 5 years =  $25,560

Monthly repayment = $426

Step-by-step explanation:

The amount of simple interest for a loan is given by:

I = P · r · t /100

where
P = principal(amount borrowed)
r = annual rate of interest in percent
t = number of years

We are given
P = 18,000
r = 8.4%
t = 5 years

Therefore interest at the end of 5 years is
I = 18000 x 8.4 x 5 /100 = 7,560

The total amount owed at the end of 5 years is the principal plus the interest

A = P + I
A = 18000 + 7560
A = 25,560

Therefore, the total amount owing at the end of 5 years is $25,560

To calculate the monthly payments for 5 years we note that 5 years = 12 x 5 = 60 months

So,

Monthly repayment = Total Amount / Total Number of Months
= $25,560 / 60
= $426