Question 741761
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How much money, invested at an interest rate of r% per year compounded continuously, 
will amount to A dollars after t years? (Round your answer to the nearest cent.)
A = 300,000, r = 3.2, t = 14
I've gotten $191671.4 as the answer but it's counted wrong
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<pre>
Your equation is

    300000 = {{{X*e^(0.032*14)}}},

where X is the principal under the problem's question.


From this equation, you find

    X = {{{300000/e^(0.032*14)}}} = {{{300000/2.7182818284^(0.032*14)}}} = 191671.41 dollars (rounded to the nearest cent).


<U>ANSWER</U>. The principal amount is $191,671.41.
</pre>

Solved.


The answer in the post by @lynnnlo is incorrect, so ignore it for the sake of the peace in your mind.