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Year 10 Maths - 10A Indices and Surds

Comparing Simple and Compound Interest

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Question 1
209657

Lily invests \(\$4000\) at \(5\%\) p.a. compounded annually. Each year the interest is simple interest for one year on the balance at the start of that year, and it is added to the balance.

YearStart balanceInterest (\(5\%\))End balance
\(1\)\(\$4000\)
\(2\)
\(3\)

(i) Complete the table to find the balance at the end of each year.

(ii) Show that \(4000\times 1.05^{3}\) gives the same balance after \(3\) years.

Part a: End of year 1: \(\$\) 
4200
1 mark
Part b: End of year 2: \(\$\) 
4410
1 mark
Part c: End of year 3: \(\$\) 
4630.50
 (2 d.p.) 1 mark

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