2 years ago

Please help!!!!! This is urgent!!

Mathematics

1 answer:

artcher [175]2 years ago

3 0

The answer is the top right one since the total $96.35 is on the deposit side.

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You deposit $7550 in an account that pays 7.25% interest, compounded continuously. How long to the

Afina-wow [57]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$\stackrel{tripled}{(7550)3}\\ P=\textit{original amount deposited}\dotfill & \$7550\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ t=years \end{cases}$

$3(7550)=7550e^{0.0725\cdot t}\implies \cfrac{3(7550)}{7550}=e^{0.0725t}\implies 3=e^{0.0725t} \\\\\\ \log_e(3)=\log_e\left( e^{0.0725t} \right)\implies \ln(3)=0.0725t \\\\\\ \cfrac{\ln(3)}{0.0725}=t\implies 15.15327\approx t\implies 15\approx t$

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Nesterboy [21]

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Option D 2 is correct...hope it helps:)

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