${2}^{3x + 2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} {2}^{2} - {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} ( 4 - 1) = 48 \\ \Leftrightarrow 3 \times {2}^{3x} = 48 \\ \Leftrightarrow {2}^{3x} = 16 \\ \Leftrightarrow {2}^{3x} = {2}^{4} \\ \Leftrightarrow 3x = 4\Leftrightarrow x = \frac{4}{3}$

4 0

2 years ago

If you pay $20 for 16 candy bars what is the cost for per candy

Olin [163]

<span>$20/16=$1.25/candy bar
Candy bars cost $1.25 each </span>

5 0

2 years ago

Read 2 more answers

Serena has $130 in her bank account . Her account is compounded quarterly for 2 years at a 9.4% interest rate . What is her tota

____ [38]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$130\\
r=rate\to 9.4\%\to \frac{9.4}{100}\to &0.094\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four}
\end{array}\to &4\\
t=years\to &2
\end{cases}
\\\\\\
A=130\left(1+\frac{0.094}{4}\right)^{4\cdot 2}\implies A=130(1.0235)^8$

7 0

3 years ago