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ollegr [7]
2 years ago
9

She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or

more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.
Mathematics
1 answer:
kap26 [50]2 years ago
8 0

Answer: x = 40  and  y = 40

Step-by-step explanation:

We can write the equation for the area as: x*y = 1600

We can write the equation for the perimeter as: 2x + 2y = 160

An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos

Graph both: y = 1600/x

                             and

                     y =  80 - x

Turns out you get x = 40 and y = 40

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Let's move like a crab, backwards some.

after 2 years?

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after 3 years?

\bf ~~~~~~ \textit{Compound Interest Earned Amount}&#10;\\\\&#10;A=P\left(1+\frac{r}{n}\right)^{nt}&#10;\quad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to &\$1000\\&#10;r=rate\to 3\%\to \frac{3}{100}\to &0.03\\&#10;n=&#10;\begin{array}{llll}&#10;\textit{times it compounds per year}\\&#10;\textit{annually, thus once}&#10;\end{array}\to &1\\&#10;t=years\to &3&#10;\end{cases}&#10;\\\\\\&#10;A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies A=1000(1.03)^3

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)

1000 + 2000r + 1000r²

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

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Step-by-step explanation:

i dont think you need explanation for all this

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