Solve |t+4| > 10

1 answer:

7 0

For
|a|>b
assume
a>b and a<-b

|t+4|>10
assume
t+4>10 and t+4<-10
solve each
minus 4 both sides

t>6 and t<-14

A is answer

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You invest $9000 with a 6% interest rate compounded semiannually. After 9 yrs, how much money is in your account?

astraxan [27]

$\bf \qquad \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 &\$9000\\
r=rate\to 6\%\to \frac{6}{100}\to &0.06\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2\\

t=years\to &9
\end{cases}
\\\\\\
A=9000\left(1+\frac{0.06}{2}\right)^{2\cdot 9}$