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Pavel [41]
3 years ago
12

What is the height of cylinder area of 226.08 square meters and a radius of 3 meters?

Mathematics
2 answers:
lilavasa [31]3 years ago
7 0
The height would be 8.99 meters
grandymaker [24]3 years ago
7 0

226.08 surface area
3 radius

h=8.99m


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Kristen invests $5,745 in a bank. The bank pays 6.5% interest compounded monthly. How long must she leave the money in the bank
s344n2d4d5 [400]

formula is A=P(1-\frac{r}{n})^{nt}

where A=final amount

P=principal

r=interest rate in decimal

n=number of times per year it is compounded

t=time in years


we want to find where

A=2P

and P=5745

and r=6.5%=0.065

n=monthly=12


remember that ln(x^a)=a(ln(x))

also that (a^b)^c=a^{bc}

2(5745)=5745(1+\frac{0.065}{12})^{12t}, solving for t

divide both sides by 5745 to simplify things a bit

2=(1+\frac{0.065}{12})^{12t} I'd rather not simplify this because it give us a decimals and those aren't exact, if we combine, we get 12.065/12 for inside parenthases

2=(\frac{12.065}{12})^{12t}

take ln of both sides

ln(2)=ln((\frac{12.065}{12})^{12t})

ln(2)=(12t)ln(\frac{12.065}{12})

divide both sides by 12ln(\frac{12.065}{12})

\frac{ln(2)}{12ln(\frac{12.065}{12})}=t

using our calculator, t≈10.6927


so rounded, we get 10.7 years

3 0
3 years ago
I'm having trouble with this, it's geometry. please help and break it down if you can​
Travka [436]

Check the picture below.

5 0
3 years ago
What is the range for the scores: 13, 23, 60, 46, 53, 75.
vova2212 [387]
Hello there.

Question: <span>What is the range for the scores: 13, 23, 60, 46, 53, 75.

Answer: Range is the largest value minus the smallest answer:
75 - 13 = 62.
The range is 62.

Hope This Helps You!
Good Luck Studying ^-^</span>
6 0
3 years ago
Can I get the answer for the questions at the bottom
aniked [119]
27)

Equation of the existing water pipe's line

a) slope, m = rise / run = Δy / Δx = 3/2

b) y-intercept, b = 3

equation: y = mx + b = (3/2)x + 3

Equation of the new water pipe's line

slope, m = - 1 / (slope of the perpendicular line) = - 1 / (3/2) = - 2/3

point (0,2)

=> y - 2 = (-2/3) (x - 0) => y = (-2/3)x + 2 <---- equation of the new pipe

28)

two parallel lines have the same slope =>

slope, m = rise / run = Δy / Δx = [4 - 0] / [11 - 8] = 4 / 3

point (4,5) => y - 5 = (4/3) (x - 4)

=> y = (4/3)x - 16/3 + 5 = (4/3)x - 1/3

y = (4/3)x - 1/3  <--- equation of the new bike path
6 0
3 years ago
In 2000, the number of fatalities caused by measles was 582,800 worldwide. In 2013, that number was 145,700. Between 2000 and 20
lara31 [8.8K]
Between 2000 and 2013, fatalities from measles decreased by (582,800 - 145,700)/582,800 x 100% = 75%
7 0
3 years ago
Read 2 more answers
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