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Nikitich [7]
3 years ago
13

Eleven years ago, you deposited $3,200 into an account. seven years ago, you added an additional $1,000 to this account. you ear

ned 9.2 percent, compounded annually, for the first 4 years and 5.5 percent, compounded annually, for the last 7 years. how much money do you have in your account today? $8,666.67 $7,411.90 $7,717.29 $8,073.91 $8,708.15
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0
$4,550.31 after the first four years before the additional $1,000, $5,550.31 after. $<span>8,073.92 after the last 7 years.</span>
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Step-by-step explanation:

We are given the following quadratic equation:

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Let a a and b be the solution of the given quadratic equation.

Solving the equation:

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Putting the values:

(a+2)(b+2)\\\\=\bigg(\dfrac{3+\sqrt{57}}{4}+2\bigg)\bigg(\dfrac{3-\sqrt{57}}{4}+2\bigg)\\\\=\bigg(\dfrac{11+\sqrt{57}}{4}\bigg)\bigg(\dfrac{11-\sqrt{57}}{4}\bigg)\\\\=\dfrac{121-57}{156} = \dfrac{64}{16} = 4

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