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Ulleksa [173]
3 years ago
14

A principal P is to be invested at continuous compound interest of 1.9% to yield $50,000 in 20 years. What is the approximate va

lue of P to be invested?
Mathematics
1 answer:
AVprozaik [17]3 years ago
5 0
<h3>Answer:  $34,193.07</h3>

You may need to delete the dollar sign and/or the comma when typing in the answer.

=======================================================

Work Shown:

A = P*e^{rt}\\\\50,000 = P*e^{0.019*20}\\\\50,000 = P*e^{0.38}\\\\P = \frac{50,000}{e^{0.38}}\\\\P \approx 34,193.0704606\\\\P \approx 34,193.07\\\\

Side note: the 'e' is a special constant roughly equal to 2.71828...

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