What is the area of a circle with a radius of 22 feet? Use \piπ= 3.14 and round your answer to the nearest tenth.

Mathematics

2 answers:

Alex17521 [72]3 years ago

6 0

The correct answer 1519.8 feet^2

Anuta_ua [19.1K]3 years ago

3 0

A: 1519.8 square feet.

area = pi times radius squared. 1. 22 squared = 484. 2. 484*3.14=1519.8

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Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

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A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$