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Misha Larkins [42]
2 years ago
7

You invested $5000 between two accounts paying 2% and 4% annual interest, respectively. If the total interest earned for the yea

r was $160, how much was invested at each rate? $ was invested at 2% and was invested at 4%.​
Mathematics
1 answer:
sergiy2304 [10]2 years ago
4 0

Answer:

You invested $5000 between two accounts paying 2% and 4% annual interest, respectively. If the total interest earned for the year was $160, how much was invested at each rate? $ was invested at 2% and was invested at 4%.

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The quadrilateral is a trapezoid and the area of the quadrilateral is 85.04 square units

<h3>How to determine the quadrilateral?</h3>

The vertices are given as:

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Next, we plot the vertices (see attachment)

From the attached graph, we can see that the quadrilateral is a trapezoid

<h3>How to determine the area?</h3>

From the plot, we have the following features:

Height: AD

Parallel sides: CD and AB

Calculate the lengths using:

d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}

So, we have:

AD = \sqrt{(-2 -6)^2 + (3 -8)^2}

AD = \sqrt{89}

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The area is then calculated as:

Area = 0.5 * (CD + AB) * AD

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Area = 85.04

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