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a) Carrie would like to buy a boat that costs $14,300. She currently has $12,500

ID: 2489222 • Letter: A

Question

a) Carrie would like to buy a boat that costs $14,300. She currently has $12,500 saved up and intends on investing this amount in an account that earns 8.5% simple interest. How long will it take for her account to reach the needed amount to purchase the boat?

b)

A student purchases a laptop by obtaining a simple interest loan. The laptop costs $2500, and the simple interest rate on the loan is 10%. If the loan is to be paid back in weekly installments over 1.5 years, calculate:

The amount of interest paid over the 1.5 years. (2 marks)

The weekly payment amount

c) A couple purchases a leather sofa set for $3800, but rather than paying in cash, the couple has decided to pay for the sofa set with equal monthly payments. This option charges 26% simple interest on the loan and requires repayment over 2.5 years. What monthly payment is required?

Explanation / Answer

a. 2 years

12,500 + (12,500 * 0.085) = 13,562.50
13,562. 5 + (13,562.5 * 0.085) = 14,715.31

b. total interest = $2500 * 10% *1.5 =$ 375

weekly payment amount = 375 / 78 = $4.81

total weeks = 52+(52/2) = 52+26 = 78

c. total months = 12+12+6 = 30

Calculated Monthly EMI 173.58 Total Amount with Interest   5207.4 Total Interest Amount 1407.4 Yearly Interest Amount   562.96