"tan C" is the one trigonometric ratio among the following choices given in the question that has the value 815. The correct option among all the options that are given in the question is the fourth option or option "D". I hope that this is the answer that you were looking for and it has come to your help.

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2 years ago

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How long would it take to double your principal in an account that pays 6.5% annual interest compounded continuously? round your

prisoha [69]

It would take 10.7 years.

The formula for continuously compounded interest is:
$A=Pe^{rt}$
where P is the principal, r is the interest rate as a decimal number, and t is the number of years.

Using our information we have:
$A=Pe^{0.065t}$

We want to know when it will double the principal; therefore we substitute 2P for A and solve for t:
$2P=Pe^{0.065t}$

Divide both sides by P:
$\frac{2P}{P}=\frac{Pe^{0.065t}}{P}
\\
\\2=e^{0.065t}$

Take the natural log, ln, of each side to "undo" e:
$\ln{2}=\ln{e^{0.065t}}
\\
\\0.6931471806=0.065t$

Divide both sides by 0.065:
$\frac{0.6931471806}{0.065}=\frac{0.065t}{0.065}
\\
\\10.7\approx t$

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2 years ago

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