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Stels [109]
3 years ago
9

Simplify (9/100)^3/2 in rational form.​

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

27\1000 is your rational form.

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Lauren owns a sign company. She borrows $75 000 to purchase a laser engraver. The
Vlad1618 [11]

Answer:

$1,313.3 per month

Step-by-step explanation:

A=p(1+r/n)^nt

P=principal=$75,000

r=interest rate=7.2%=0.072

t=20 years

n=12 months

A=p(1+r/n)^nt

=75,000(1+0.072/12)^12*20

=75,000(1+0.006)^240

=75,000(1.006)^240

=75,000(4.2026)

=315,195

A=$315,195

The term of Lauren's loan=20 years

20 years×12 months=240 months

Lauren's pay per month =$315,195/240

=$1,313.3125

Approximately $1,313.3 per month

4 0
3 years ago
A cylinder has a diameter of 10 inches in the height four times the radius what is the volume
SVEN [57.7K]

Answer:

500π in^3

Step-by-step explanation:

The radius is half the diameter, so the radius is 5 in. Since the height is four times that, the height is 20 in.

The equation for the volume of a cylinder is:

V = \pi r^{2}h

We can plug in the radius and height:

V = \pi  \times (5)^{2} \times 20\\V = \pi \times 25 \times 20\\V = 500\pi in^{3}

8 0
2 years ago
Oil is leaking from a tanker at the rate of R(t) = 2000e^(-0.2t) gallons per hour where t is measured in hours. How much oil lea
Kipish [7]
The calculation of the integral will give us the answer.

Amount = Int (2000e^(-0,2t))dt

With t = 0 to t = 10

A = 2000.In(e^(-0,2t))dt


Making U = -0,2t

U = -0,2t

dU/dt = d(-0,2t)/dt

dU/dt = -0,2

dU = -0,2dt

dt = dU/-0,2
_______________


Then,

A = 2000.Int (e^U).dU/-0,2

A = -10.000.Int(e^U)dU

A = -10.000.e^U

A = -10.000.e^(-0,2t) | (0,10)

A = -10.000.(e^(-2)) - [ -10.000.e^(0)]

A = -10.000.e^(-2) + 10.000

A ~ 8,646 Gallons


6 0
3 years ago
Can anybody help me im in need of help
soldier1979 [14.2K]
The first question's answer is the second choice. The second question's answer is the first choice. The third question's answer is the second choice.
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3 years ago
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Vinvika [58]
True. The AutoCorrect feature can automatically capitalize the first letter in the names of days.
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3 years ago
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