3 years ago

X + 2y = 33 x-y = 11

Mathematics

1 answer:

Tasya [4]3 years ago

7 0

Answer:

$x=\frac{55}{3},\:y=\frac{22}{3}$

Step-by-step explanation:

Solve by Substitution ;

$\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:x+2y=33:\quad x=33-2y\\\\\mathrm{Subsititute\:}x=33-2y\\\\\begin{bmatrix}33-2y-y=11\end{bmatrix}\\\\Simplify\\\begin{bmatrix}33-3y=11\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:33-3y=11:\quad y=\frac{22}{3}\\\mathrm{For\:}x=33-2y\\\\\mathrm{Subsititute\:}y=\frac{22}{3}\\x=33-2\times\frac{22}{3}\\\\x=\frac{55}{3}\\\\x=\frac{55}{3},\:y=\frac{22}{3}$

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Edna decided to purchase a $15,000 MSRP vehicle at a 5% interest rate for 3 years. The dealership offered her a $1500 cash-back

Ad libitum [116K]

P = A/D, Where P = Monthly payments, A = Total amount owed = 15,000-1,500 = $13,500,

$D= \frac{( 1+ \frac{r}{12} )^{nt} -1}{ \frac{r}{12} (1+ \frac{r}{12}) ^{nt} }$

r = 5% = 0.05, nt = 12*3 = 36

Therefore,
D = $\frac{(1+ 0.05/12)^{36}-1 }{(0.05/12)(1+0.05/12)^{36} }$ = 33.37

Then,

P = 13,500/44.37 = $404.61
The correct answer is c.

5 0

3 years ago

Evaluate this expression <br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B-2%7D" id="TexFormula1" title="8^{-2}" alt="8^{-2}" a

shepuryov [24]

Answer:

0.015625

Step-by-step explanation:

Rule: $a^{-n} = \dfrac{1}{a^n}$