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dedylja [7]
3 years ago
6

I need answer please

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0

Answer:

they are integers

Step-by-step explanation:

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J = 42 is the answer to your question

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Find how long it takes a $ 900.00 investment to earn $ 120.00 in interest if it is invested at 6% compounded annually.
atroni [7]
So, we know the earned interest is 120, and we know the original deposited amount is 900 bucks, so, the accumulated amount will then be 900 + 120 or 1020 bucks.

\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$1020\\
P=\textit{original amount deposited}\to &\$900\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years
\end{cases}

\bf 1020=900\left(1+\frac{0.06}{1}\right)^{1\cdot  t}\implies \cfrac{1020}{900}=(1.06)^t\implies \cfrac{102}{90}=(1.06)^t
\\\\\\
log\left(\frac{102}{90}  \right)=log(1.06^t)\implies log\left(\frac{102}{90}  \right)=t\cdot  log(1.06)
\\\\\\
\cfrac{log\left(\frac{102}{90}  \right)}{log(1.06)}=t\implies 20.92 \approx t
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translate this sentence into an equation. 54 is the product of Rita savings and 3. Use the variable r to represent Rita savings.
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Answer:

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Step-by-step explanation:

Substitute the given values for a and b into the expression and evaluate

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