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3 years ago

What is the area of the figure?

Mathematics

1 answer:

sattari [20]3 years ago

8 0

1) Find the area of the circle: Ac = pi*(2 ft)^2 = 4pi ft^2
2) Multiply this result by 3/4: (3/4)(pi)(4ft^2) = 3 pi ft^2
3) Find the area of the square: As = (2 ft)^2 = 4 ft^2
4) Add together the results of steps (2) and (3): 3 pi + 4 ft^2 (answer)

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Which of the following statements about a plane is not true?

shusha [124]

Answer:

The last one is the answer.

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3 years ago

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?

pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

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To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

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3 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

$t=2.5\ years$

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Answer:

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Use a calculator and do it step by step.

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