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gulaghasi [49]
3 years ago
5

If the original quantity is 14 in the new quantity is 24 estimate the percent change​

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

\% \: change =  \frac{(24 - 14)}{14}  \times 100  \\ =  \frac{10 \times 100}{14} \\   =  \frac{1000}{14}  \\  = 71.43\%

<h2>Percentage change is 71.43%.</h2>
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6 0
3 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"
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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



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4 years ago
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