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2 years ago

8

$12,500 is invested, part at 9% and the rest at 5%. If the interest earned from the amount invested at 9% exceeds the interest e

arned from the amount invested at 5% by $486.00, how much is invested at each rate?

1 answer:

marysya [2.9K]2 years ago

4 0

Answer:

$1,538.00

Step-by-step explanation:

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Talja [164]

The solution of the equation is (3, 1/2).

<h2>We have to determine</h2>

What is the solution to this system of equations?

<h3>According to the question</h3>

The given system of the equation;

$\rm x+2y=4\\
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<h3>The standard form for linear equations in two variables is;</h3>

$\rm Ax+By = C$

On comparing equation 1 and equation 2 with the standard form we get,

$\rm a_1 = 1,\ b_1 = 2,\ c_1=4\\
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Here,

$\rm \dfrac{a_1}{a_2} = \dfrac{1}{2}\\
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\dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}$

Here, $\rm \dfrac{a_1}{a_2} \neq \dfrac{b_1}{b_2}$ so, the given system of equations has a unique solution.

Then,

The solution of the equation is;

$\rm x+2y=4\\\\2x-2y=5$

On adding both the equation;

$\rm x+2y+2x-2y=4+5\\
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Substitute the value of x in equation 1,

$\rm x+2y=4\\
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Hence, the solution of the equation is (3, 1/2).

To know more about System of Equation click the link given below.

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3 years ago

Read 2 more answers

Please help me thank you.

exis [7]

The answer is D.

We don't have any information on congruent angles or congruent sides, so we can eliminate B and C.

Now, we have to choose between A and D.

We have sufficient information to conclude this is a parallelogram because all we need to know is that the both pairs of opposite sides are congruent.

Thus, the answer is D.

Have an awesome day! :)

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