PLEASE HELP MATH!!!1

Mathematics

1 answer:

Lemur [1.5K]3 years ago

5 0

The y< -2x + 6 is the one that crosses at 6 on the y-axis. the < indicates that you shade BELOW it, so the left side of that line is shaded because it has a negative slope.

the y> 5/4x - 6 is the one that crosses at -6 on the y-axis. the > indicates that you shade ABOVE it, so the left side would also be shaded because it has a positive slope.

so whatever point is in both of those shaded areas would satisfy both inequalities

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Compound Inequalities (Help)

sladkih [1.3K]

- 8x + 44 ≥ 60
- 8x ≥ 60 - 44
- 8x ≥ 16
x ≤ - 2

- 4x + 50 < 58
- 4x < 58 - 50
- 4x < 8
x > - 2

Now put the two together. Logically, these two answers since a number cannot be both less than AND greater than - 2.

Your answer should be no solution.

5 0

4 years ago

how much would $150 invested at 8% interest compounded anually be worth after 13 years? A(t)=P(1+r/n)^

PIT_PIT [208]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$