3 years ago

How do I solve for q?

Mathematics

1 answer:

german3 years ago

4 0

The answer should be q=0.522

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Gina puts $ 4500 into an account earning 7.5% interest compounded continuously. How long will it take for the amount in the acco

Elza [17]

$~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$5150\\ P=\textit{original amount deposited}\dotfill & \$4500\\ r=rate\to 7.5\%\to \frac{7.5}{100}\dotfill &0.075\\ t=years \end{cases}$

$5150=4500e^{0.075\cdot t} \implies \cfrac{5150}{4500}=e^{0.075t}\implies \cfrac{103}{90}=e^{0.075t} \\\\\\ \log_e\left( \cfrac{103}{90} \right)=\log_e(e^{0.075t})\implies \log_e\left( \cfrac{103}{90} \right)=0.075t \\\\\\ \ln\left( \cfrac{103}{90} \right)=0.075t\implies \cfrac{\ln\left( \frac{103}{90} \right)}{0.075}=t\implies\stackrel{\textit{about 1 year and 291 days}}{ 1.8\approx t}$

4 0

2 years ago

You work 4 hours on Saturday and 8 hours on Sunday. You also receive a $50 bonus. You earn $164. How much did you earn per hour?

Marina86 [1]

To find the hourly rate, we would first need to take the total earnings and subtract the bonus. $164 - $50 = 114 This gives us the total money earned for hourly work. Then we need to add the total hours worked: 4 + 8 = 12. Lastly, we need to take the total money earned and divide it by the total hours worked: 114 / 12 = 9.50 or $9.50 per hour. The equation could look like: 4h + 8h + $50 = $165

3 0

3 years ago

Read 2 more answers

Please explain me how to solve it cos2x+cos4x ≥0

Sliva [168]

2x + 4x will always be larger or equal to 0.
if x= 0 than it will be equal to 0.
Does this help at all?

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3 years ago

Find y. Round to the nearest tenth: у 270 350 ft y = [? ]ft

Hunter-Best [27]

Answer:

y=620 lemme know if this helped by pressing thanks :)