$\"\"$

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The rate of growth of the amount $\"\"$ in the fund is given by $\"\"$ , where $\"\"$ when $\"\"$ .

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$\"\"$

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The equation is a seperable diffrential equation.

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$\"\"$

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$\"\"$

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Apply integration on both sides.

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$\"\"$

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$\"\"$ .

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If $\"\"$ , when $\"\"$ then :

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$\"\"$

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$\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$ .