##### Financial Algebra help with compounded interest quarterly

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Gillian started a retirement account with \$11500 when she turned 35. The account compounds interest quarterly at a rate of 3.83%. She made no further deposits into the account. After 20 years, she decided to withdraw 40% of what had accumulated in the account so that she could make her home handicap accessible. She had to pay a 10% penalty on the early withdrawal. What was her penalty?
May 27th, 2015

So what happens is she starts with 11500\$ and the interest accumulates quarterly at 3.83% then she will have 24,648.18\$ in the account at the time of withdrawing this is found by using the formula a=p(1+r/n)^nt and you plugin in like so A=11500(1+3.83/4)^(4*20). So now she is withdrawing 40% which is .4*24648.18=9859.27\$ is the amount she is withdrawing. Then its 10% penalty on that amount she is withdrawing which is 985.93\$ is the penalty

May 27th, 2015

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May 27th, 2015
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May 27th, 2015
Dec 6th, 2016
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