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Question 1 of 8

Calculator allowed

Jack saves money using a home-deposit account. Two interest plans are being compared

The principal is $2,500, the annual rate is 6% p.a. and the term is 2 years

Plan A uses compound interest, compounded annually. Plan B uses simple interest

The compound plan has one compounding period per year

These fictional plans have fixed rates, no fees and no deposits, withdrawals or repayments during the term. Any debt is repaid at the end. For the compound plan the quoted annual rate is nominal. Keep full calculator precision until the final answer

In the formulas, R is the annual percentage number, r = R/k is the percentage number per compounding period, k is periods per year and n = kt

\[I_s = \frac{P \times R \times t}{100}\]
\[A = P(1 + r/100)^n\]
(a)1 mark

What is the final amount for Plan B after the interest is applied? Give your answer to the nearest cent

Format: nearest cent
(b)1 mark

What is the final amount for Plan A after the interest is applied? Give your answer to the nearest cent

Format: nearest cent
(c)1 mark

Which plan is better for a saver? Compare the final amounts and choose the larger one