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3 years ago

12

Colin invests £1200 into his bank account. He receives 3% per year simple interest. How much will Colin have after 4 years? Give

your answer to the nearest penny where appropriate.

1 answer:

PolarNik [594]3 years ago

3 0

Answer:

1350.61

Step-by-step explanation:

f(x)=1200(1.03^x)

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<u><em>Answer:</em></u>

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$

<u><em>Explanation:</em></u>

To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign

<u>This means that:</u>

The conjugate of a + b would be a - b

Now, the given expression is $\frac{2}{\sqrt{13}+\sqrt{11}}$

<u>Consider the denominator:</u>

From the above, we can conclude that the conjugate of $\sqrt{13}+\sqrt{11}$ is $\sqrt{13}-\sqrt{11}$

<u>And, remember that</u> we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value

<u>Therefore:</u>

You should multiply the expression by $\frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}$ in order to rationalize the denominator

Hope this helps :)

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3 years ago

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