Write an algebraic expression for the phrase. The quotient of 5 and the sum of 12 and a number x

Mathematics

1 answer:

anzhelika [568]2 years ago

3 0

Answer:

the answer is (12 +x)/5 please mark brainliest

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Step-by-step explanation:

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

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

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It will be worth $1732.30.

Step-by-step explanation:

After 1 year : 6000 x .78 = 4680

2 yr - 4680 x .78 = 3650.4

3 yr - 3650.4 x .78 = 2847.312

4 yr - 2847.312 x .78 = 2220.90336

5 yr - 2220.90336 x .78 = 1732.304621

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I think this is what it was asking

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