$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$4000\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, meaning 4 times}
\end{array}\to &4\\

t=years\to &2
\end{cases}$

5 0

3 years ago

You are trying to recreate flubber because you are obsessed with that movie and you thought it was the coolest. you take 70% sli

german

Let $x$ be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use $120-x$ gal of the 70% solution.

You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means

$0.4x+0.7(120-x)=0.5\cdot120=60$

$\implies0.4x+84-0.7x=60$

$\implies24=0.3x$

$\implies x=80$

so the answer is B.

8 0

3 years ago