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3 years ago

Find the area AND perimeter of this shape.

Mathematics

1 answer:

RoseWind [281]3 years ago

3 0

Answer:

Area: 2206.86 square m

Perimeter: 194.25 m

Step-by-step explanation:

Area:

30 x 50 = 1500 square m

30/2 = 15 = the radius of the semi circles

pi x 15^2 = 706.86 square m

1500 + 706.86 = 2206.86 square m

Perimeter:

pi x 15 x 2 = 94.25 m

94.25 (perimeter of both semi circles) + (50 x 2) = 194.25 m

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2 years ago

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2 years ago

Paul has an eight-year loan with a principal of $26,900. The loan has an interest rate of 8.18%, compounded quarterly. If Paul p

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Answer:

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Step-by-step explanation:

Amount = $26,900

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$i=\frac{r}{4}\\\\$

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t= 8 years

$n= 8 \times 4$

$=32$

$D=\frac{1-(1+i)^{-n}}{i}\\$

$=\frac{1-(1+0.02045)^{-32}}{0.02045}\\\\=\frac{1-(1.02045)^{-32}}{0.02045}\\\\=\frac{1-0.52319627}{0.02045}\\\\=\frac{0.47680373}{0.02045}\\\\=23.3155858$

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$=\frac{26900}{23.3155858} \\\\=1153.73468$

Payment $=1153.73468 \times 32\\\\$

$= \$ 36919.5098\\$

$\text{Total interest = Payment - amount}$

$= \$ 36919.5098 - \$ 26900 \\\\ = \$ 10019.5098$

$\text{Finance charge = Total interest + service charge}$

$= \$ 10019.5098 + \$ 1527\\\\ = \$ 11546.5098$

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3 years ago