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sattari [20]
3 years ago
15

What is the approximate area of the figure?

Mathematics
1 answer:
Valentin [98]3 years ago
8 0

Answer:

Answer D (2206.5 ft^2) is closest to the calculated answer 2206.85 ft^2.

Step-by-step explanation:

We can break up this figure into a 30 ft by 50 ft rectangle and a circle of diameter 30 ft.

The area of the rectangular part is A1 = (30 ft)(50 ft) = 1500 ft^2.

The area of the circular part is A2 = π(15 ft)^2 = 706.9 ft^2

Thus, the total area is approx A1 + A2, or 2206.86 ft^2 (Answer D)

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Step-by-step explanation:

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
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Answer:

The amount invested in bonds = 35,000

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Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

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and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

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b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

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