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3 years ago

Find the area of the circle. Round your answer to the nearest hundredth. 3 in.

Mathematics

1 answer:

Vilka [71]3 years ago

7 0

Answer:

28.27 in²

Step-by-step explanation:

The area of a circle is dependent on only one variable: the radius:

A = πr²

If the radius is 3 inches, as you seem to indicate, then:

A = π(3 in)² = 9π in² = 28.27 in²

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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

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

where

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

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

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

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3 years ago

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What is the slope of the line passing through the points (1, 3) and (3, 9)?

Dvinal [7]

Answer:

slope is 3

Step-by-step explanation:

Mark brainliest plz

Its correct

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3 years ago

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2V2 km 2 km X A) 2V5 km C) 2 km B) 2V3 km D) 4 km HELP PLEASEE

Rasek [7]

Answer:

$x=2\sqrt3\ km$

Step-by-step explanation:

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The base of a triangle = 2 km

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Nina [5.8K]

Answer:

x=5 y=-6

Step-by-step explanation:

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using substitution

put y=4-2x into eqn1

3x+4-2x=9

x=5

put x=5 into eqn2

y=4-2(5)

y=4-10

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Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.

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