$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to 5.2\%\to \frac{5.2}{100}\to &0.052\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &10
\end{cases}
\\\\\\
A=3000\left(1+\frac{0.052}{4}\right)^{4\cdot 10}\implies A=3000(1.013)^{40}
\\\\\\
A\approx 5029.201878874637$

7 0

3 years ago

Read 2 more answers

Multiply the fractions. Write your answers in simplest form. 1/2 x 2/5

zepelin [54]

First make it that both denominators are the same.
$(\frac{1}{2} \times 5) + ( \frac{2}{5} \times 2) = \frac{5}{10} + \frac{4}{10}$
Then add both numerators
$\frac{5}{10} + \frac{4}{10} = \frac{9}{10}$
Your final answer should be
$\frac{9}{10}$

6 0

3 years ago

Read 2 more answers

What is (-1,2) and (1,-4) in slope-intercept form?

omeli [17]

You will need the point slope formula if you don't know it already which is x2-x1 over y2-y1. so in this case, it would be 1-(-1) over -4 -(2) which gives you 1 over 3 simplified and that is your slope. you are then going to substitute one of the point in the slope formula, y=mx+b. so let's say you go with the first point and substitute it, that will give you, 2=1/3(-1)+b and you would solve for b. after you figure out your equation, you multiply 1/3 by -1 to give you -1/3+b=2. Then you would add -1/3 to both sides to get b by itself. You would have b= 2+(-1/3). you with then calculate the difference to get b= 2 1/3 or b= 2.3.

7 0

3 years ago

Solve the equation for x: x² + 8x = 33

BARSIC [14]

X would equal = 3 because -

$3^{2}$ + 8 x 3 = 33.

9 + 24 = 33.

Hope this helps (:

4 0

4 years ago