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crimeas [40]
3 years ago
9

RIGHT ANSWER GET BRAINLIEST

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

a^n + a^n+1

rewrite a^n+1 as a^1 a^n

now you have a^n + a^1a^n

Factor out the common term to get the final answer:

a^n (1+a)

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M – 4.21 = 87.654<br> What is the value of m?
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5 0
4 years ago
Sara invests $1,200 each year in an IRA ( 12 years in an account that earned 5%
Sati [7]
A)

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

\bf \begin{cases}&#10;A=&#10;\begin{array}{llll}&#10;\textit{original amount}\\&#10;\textit{already compounded}&#10;\end{array}&#10;\begin{array}{llll}&#10;&#10;\end{array}\\&#10;pymnt=\textit{periodic deposits}\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{each year, once}&#10;\end{array}\to &1\\&#10;&#10;t=years\to &12&#10;\end{cases}

B)

let's say after 12years, she ended up with a value of say "P"
so.. now she's just sitting on P, making no more deposits to it
just taking whatever the compound 5% interest will give, thus

\bf \qquad \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\qquad &#10;\begin{cases}&#10;A=\textit{compounded amount}\\&#10;P=\textit{original amount deposited}\to &\boxed{P}\\&#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{again, is only once}&#10;\end{array}\to &1\\&#10;&#10;t=years\to &11&#10;\end{cases}


C)

from A) she made 1,200 every year, for 12 years that's 1200*12, that's how much she put out of pocket, if you got an amount P from A), then the interest is just the difference, or P - (1200*12)

from B), she started with an original amount of P, and ended up with a compounded amount of A after 11years, so the interest is just also the difference, or A - P

add those two folks together, and that's the total interest she got for the 23  years



4 0
4 years ago
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