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18-02-2012, 17:20   #1
alfamale
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maths past paper question

hi can somebody please explain the solution to this question from 2008 paper 1 c. In particular where has the 2.04 come from?

Walter wishes to pay off his loan in equal instalments at the end of the first
and second year. The rate remains at 4% per annum compound interest.
􀀢 How much would he need to repay, at the end of each year, to clear his
loan after two years? Give your answer correct to the nearest cent.

Solution:

Let the equal instalment be x
P Year 1 = €5000
P Year 2 = €5000 × 1·04 - x = €5200 -x
P Year 3 = (€5200 -x) × 1·04 = x Final payment
(€5200 - x) x 1·04 = x
€5408 - 1.04x = x
€5408 = 2.04x
x = €5408/ 2.04 = €2650.98
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18-02-2012, 17:26   #2
brownacid
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x +1.04x = 2.04x
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18-02-2012, 17:30   #3
alfamale
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Quote:
Originally Posted by brownacid View Post
x +1.04x = 2.04x
That's the bit i don't understand.
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18-02-2012, 17:31   #4
gerardo1982
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As the previous poster said:

x + 1.04x = 2.04x

The x on it's own is the same as 1x.

You could also write it this way:

1x +1.04x = 2.04x
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18-02-2012, 17:35   #5
alfamale
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thanks, easy when you know.
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18-02-2012, 17:39   #6
gerardo1982
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It's the same with most things in life, anyway good luck with your studies.
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