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2 years ago

Two brothers each purchase a new pair of hiking boots and two canteens. The hiking

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

6 0

Answer: 2(34) + 2c = 98

Step-by-step explanation:

C = cost of one canteen

2 pair of boots at $ 34 each plus 2 canteens at (c) each totals $98.

2(34) + 2c = 98

68 +2c = 98. Subtract 68 from both sides. 68 - 68 +2c = 98 -68

2c = 30. Divide both sides by 2.

2c/2 = 30/2

c = 15 so each canteen costs $15

Check: 2 ($34) + 2 ($15) = $98

$68 + $30 = $98

$98 = $98

2C = 98

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\\\\
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\begin{cases}
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\end{array}\to &1\\
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\end{cases}
\\\\\\
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after 3 years?

$\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 &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
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is that enough to pay the $1100?

now, let's write 1000(1+r)² in standard form

1000( 1² + 2r + r²)

1000(1 + 2r + r²)

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1000r² + 2000r + 1000 <---- standard form.

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