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AleksAgata [21]
3 years ago
13

C=85x+60 solve for x

Mathematics
1 answer:
Tatiana [17]3 years ago
3 0
To solve for x:

<span>C=85x+60                  subtract 60 from both sides
</span>
<span>C - 60=85x+60 - 60

C - 60 = 85x              now divide by 85 both sides

(C - 60)/85 = x


So we can write:
x= \frac{C-60}{85}



</span>

I hope that helps!



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Rosa is at most 29 years old
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3 years ago
4. Meagan invests $1,200 each year in an IRA for 12 years in an account that earned 5%
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Part A)

\bf \qquad \qquad \textit{Future Value of an ordinary annuity}\\&#10;\left. \qquad \qquad \right.(\textit{payments at the end of the period})&#10;\\\\&#10;A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]

\bf \qquad &#10;\begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{accumulated amount}\\&#10;\end{array}&#10;\begin{array}{llll}&#10;&#10;\end{array}\\&#10;pymnt=\textit{periodic payments}\to &1200\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, thus once}&#10;\end{array}\to &1\\&#10;t=years\to &12&#10;\end{cases}

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part B)

so, for the next 11 years, she didn't make any deposits on it and simple let it sit and collect interest, compounded annually at 5%.

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\  &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$19100.55\\&#10;r=rate\to 5\%\to \frac{5}{100}\to &0.05\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, thus once}&#10;\end{array}\to &1\\&#10;t=years\to &11&#10;\end{cases}&#10;\\\\\\&#10;A=19100.55\left(1+\frac{0.05}{1}\right)^{1\cdot  11}\implies A\approx 32668.42

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well, for 12 years she deposited 1200 bucks, that means 12 * 1200, or 14,400.

now, here she is, 12+11, or 23 years later, and she's got 32,668.42 bucks?

all that came out of her pocket was 14,400, so 32,668.42 - 14,400, is how much she earned in interest.
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