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asambeis [7]
3 years ago
10

-4x - 28y=56 4x + 14y=-28

Mathematics
1 answer:
ddd [48]3 years ago
4 0
Adding the 2 equations will eliminate x because -4x + 4x = 0
so we get
-14y = 28
y = -2
plug this into the second euqtion:-
4x + 14(-2) = -28
4x  - 28 = -28 
x = 0

answer is x = 0 , y = -2
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3 years ago
If your starting salary is $40,000 and you  receive a 4.2% raise every year, how much  TOTAL money will you make in 15 years?
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in short, the starting amount is 40000, and to get the next term's value you'd use the "common ratio" of 1.042, namely the multiplier of 1.042.

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therefore,

\bf \qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=40000\\
r=1.042\\
n=15
\end{cases}
\\\\\\
S_{15}=40000\left( \cfrac{1-1.042^{15}}{1-1.042} \right)\implies S_{15}\approx 40000\left( \cfrac{-0.8536}{-0.042} \right)
\\\\\\
S_{15}\approx 812951.42
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4 0
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