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astraxan [27]
3 years ago
15

Complete the solution of the equation. find the value of y when x equals -8 8x+8y=-48

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0
<span>8x + 8y = -48
-------------------------
Plug in -8 for x
(8) (-8) + 8y = -48
-------------------------------
Simplify
</span><span><span><span>(8) </span><span>(<span>−8</span>) </span></span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>−64 </span>+ <span>8y </span></span>= <span>−<span>48
</span></span><span><span>8y </span>− 64 </span>= <span>−<span>48
</span></span>-----------------------------------------
Add 64 to each side
<span><span><span>8y </span>− 64 </span>+ 64 </span>= <span><span>−48 </span>+ 64
</span><span>8y </span>= <span>16
</span>---------------------------------------------------
Finally, divide each side by 8
8y ÷ 8 = 16 ÷ 8
y = <span>2
</span>----------------------------------------------------------------
y = 2 is your answer
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Step-by-step explanation:

Nine sided polygon has an angle of 360/9=40 degrees at one vertex.

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Step-by-step explanation:  Given in the question that Kent invested $5000 in a retirement plan. He allocated x dollars of the money to a bond account that earns 4% interest per year and the rest to a traditional account that earns 5% interest per year.

(A) Let, '$y' be the amount of money Kent invested in the traditional account, then we have

y=5000-x.

This is the required expression.

(B) After 1 year, total money in the bond account will be

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and amount of money in the traditional account will be

M_t=(5000-x)+\dfrac{1\times 5\times (5000-x)}{1000}=(5000-x)+\dfrac{5000-x}{200}\\\\\\\Rightarrow M_t=\dfrac{201(5000-x)}{200}.

Therefore, total amount invested after 1 year will be

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(C) If x = $500, then we have

M=\dfrac{7\times 500+1005000}{200}=\dfrac{1008500}{200}=\dfrac{10085}{2}=5042.5.

Thus, Kent will have $5042.5 in his retirement plan after 1 year.

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