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2 years ago

When Sarah turned 18, she took $500 from her savings and opened a

Mathematics

1 answer:

Montano1993 [528]2 years ago

6 0

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

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Step-by-step explanation:

Hello!

Substitute 4 for x in the equation.

<h3>Evaluate</h3>

g(x) = -3x - 5
g(4) = -3(4) - 5
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How would you graph this y-3=4/3(x+2)

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Answer:

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Graph is attached.

Step-by-step explanation:

Line passing through the point $(x_1,y_1)$ and slope $m$ :

$y-y_1=m(x-x_1)$

$Compare\ y-3=\frac{4}{3}(x+2)\ with\ the\ standard\ form\\\\x_1=-2,\ y_1=3\ and\ m=\frac{4}{3}\\\\This\ is\ equation\ of\ line\ passing\ through\ (-2,3)\ and\ having\ slope(m)=\frac{4}{3}\\\\Slope=\tan \theta\\\\\tan\theta=\frac{4}{3}\\\\\theta=\tan^{-1} \frac{4}{3}\\\\\theta=53.13\textdegree\\\\Hence\ line\ passes\ through\ (-2,3)\ and\ makes\ an\ angle\ 53.13\textdegree\ with\ the\ x-axis$

Sketch:

Y-intercept:

$substitute\ x=0\\\\y-3=\frac{4}{3}\times 2\\\\y=\frac{8}{3}+3\\\\y=\frac{17}{3}\\\\line\ passes\ through\ (0,\frac{17}{3}).$

x-intercept:

$substitute\ y=0\\\\-3=\frac{4}{3}(x+2)\\\\x+2=-\frac{3}{4}\times 3\\\\x=-\frac{9}{4}-2\\\\x=-\frac{17}{4}\\\\Line\ passes\ through\ (-\frac{17}{4},0).$

Sketch the line passes through $(-\frac{17}{4},0)\ and\ (0,\frac{17}{3})$ .

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