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2 years ago

11

Javier invests money in two accounts. He invests twice as much in an account paying 11% as he does in an account paying 3%. If h

e earns $104.50 in interest in one year from both accounts combined, how much did he invest altogether?

1 answer:

77julia77 [94]2 years ago

7 0

PRT+PRT=Total Interest

0.03x+0.11(2x)=104.5

0.25x=104.5
x=418

x+2x, 418+2(418)=1254

Total Investment=1254 dollars

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Answer:

The solution to the system of equations is:

(x, y) = (3, -1)

The graph is attached below.

Step-by-step explanation:

Given the system of equations

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$2x + y = 5$

Let us solve the system of equations using the elimination method

$\begin{bmatrix}2y=2x-8\\ 2x+y=5\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}2y-2x=-8\\ y+2x=5\end{bmatrix}$

Multiply y + 2x = 5 by 2: 2y + 4x = 10

$\begin{bmatrix}2y-2x=-8\\ 2y+4x=10\end{bmatrix}$

subtracting the equations

$2y+4x=10$

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$\underline{2y-2x=-8}$

$6x=18$

solve 6x = 18 for x

$6x=18$

Divide both sides by 6

$\frac{6x}{6}=\frac{18}{6}$

simplify

$x=3$

For 2y - 2x = -8 plug in x = 3

$2y-2\cdot \:3=-8$

$2y-6=-8$

Add 6 to both sides

$2y-6+6=-8+6$

Simplify

$2y=-2$

Divide both sides by 2

$\frac{2y}{2}=\frac{-2}{2}$

Simplify

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The graph is attached below.

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marusya05 [52]

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$A) \frac{1}{4}$ $=0.25$ $(incorrect)$
$B) \frac{7}{21}$ $=0.33$ $(Incorrect)$
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$D) \frac{28}{80}$ $0.7$ $(incorrect)$

But in order for you to solve this particular equation you'd have to go in with two (like multiplying by two)

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$2 \times 28 = 56$ ; $2\times 80 = 160$ $(incorrect)$

Your result: $\boxed{Answer: B. \frac{7}{21} }$

Good luck on your assignment and enjoy your day!

~ $\bold{LoveYourselfFirst:) }$

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