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Mathematics

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lara [203]3 years ago

8 0

Answer:

this photo should answer it

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Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea

Vsevolod [243]

$~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}$

$A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill$

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2 years ago

Which shows the pre-image of triangle X’Y’Z’ before the figure is rotated 90° about the origin

Xelga [282]

Answer:

From the figure shown the coordinates of W'X'Y'Z' are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5)

The coordinates of the pre-image that yeilded W'X'Y'Z' according to the rule (-x, -y) can be obtained by changing the signs of the coordinates of W'X'Y'Z'.

Thus, the coordinates of the pre-image that yeilded W'X'Y'Z' are W(-2, -3), X(-6, -3), Y(-6, -4) and Z(-3, -5).

Therefore, the correct graph is graph c.

(Need to update complete question)

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2 years ago

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What is the area of the rectangle

Ymorist [56]

the area of rectangle is l*b

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3 years ago

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