Peter has $20 000 to invest in either Bank A, Bank B or Bank C for 5 years.
The table below shows the investment plans.
BankInterest rate per annum
A3.0 % compound interest, compounded annually
B3.2 % simple interest annually
CFixed interest of $3000 after 5 years
Which plan should he invest in? Explain your answer.

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Worked solution

7

1. Calculate the amount from Bank A using compound interest.

For Bank A,
Amount=20000(1+0.03)5\text{Amount}=20000(1+0.03)^5
=20000(1.03)5=20000(1.03)^5
=$23185.481…=\$23185.481\ldots
So Bank A gives about $23185.48\char36{}23185.48.

2. Calculate the amount from Bank B using simple interest.

For Bank B,
Interest=20000×0.032×5\text{Interest}=20000\times 0.032\times 5
=$3200=\$3200
Amount=20000+3200=$23200\text{Amount}=20000+3200=\$23200

3. Calculate the amount from Bank C and compare all three plans.

For Bank C,
Amount=20000+3000=$23000\text{Amount}=20000+3000=\$23000

Compare:
$23200>$23185.48>$23000\$23200>\$23185.48>\$23000
Therefore, Bank B gives the highest amount.

Answer

Peter should invest in Bank B, since it gives the greatest amount after 5 years: $23 200.

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