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3 years ago

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Which equation could be used to solve the problem? In the summer, Ynez earns $15 per week mowing lawns. At that rate, if she wor

ks 12 weeks, how much will she make (m)?

1 answer:

Hunter-Best [27]3 years ago

7 0

M=15*12. Or, if you want a more general equation for this problem: m=15(w), where w means weeks worked.

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If an investment of $3000 grows to $4432.37 in eight years with interest compounded annually , what is the interest rate?

melamori03 [73]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\to &\$4432.37\\
P=\textit{original amount deposited}\to &\$3000\\
r=rate\to r\%\to \frac{r}{100}\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &8
\end{cases}$

$\bf 4432.37=3000\left(1+\frac{r}{1}\right)^{1\cdot 8}\implies \cfrac{4432.37}{3000}=(1+r)^8
\\\\\\
\sqrt[8]{\cfrac{4432.37}{3000}}=1+r\implies \sqrt[8]{\cfrac{4432.37}{3000}}-1=r
\\\\\\
0.0500001086\approx r\qquad\qquad\cfrac{r\%}{100}\approx 0.0500001086
\\\\\\
r\%\approx 100\cdot 0.0500001086\implies r=\stackrel{\%}{5}$

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4 years ago

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Answer:

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Step-by-step explanation:

x² - 4x - 5

= x² + x - 5x - 5

= x(x + 1) - 5(x + 1)

= (x - 5) (x + 1)

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