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Sveta_85 [38]
3 years ago
9

Round 16/21 to the nearest hundred

Mathematics
1 answer:
dusya [7]3 years ago
6 0
16/21 = 0.7619 so the answer would be 0.76
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s344n2d4d5 [400]

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

where A=final amount

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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
You have a set of cards labeled 1-10. Set A is drawing an even card. Set B is drawing a 8 or higher.  What is the  P ( A ∪ B ) ?
creativ13 [48]

set A = {2, 4, 6, 8, 10}   (only even cards)

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bezimeni [28]

Answer: 5/12

Step-by-step explanation:

Step 1

Whenever you have something OF  something, you just mulltiply.

1/3 of  5/8=  

1/3x5/8

5/24

She used 5/24, and started with 5/8

5/8-5/24= 5/12  left

8 0
2 years ago
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Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512 liters
Mumz [18]

Answer:

Khan Academy

The robot uses the expected amount of energy, but it doesn't filter the expected amount of air and water.

Step-by-step explanation:

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Write the numbers in scientific notation.
Rasek [7]

Answer:

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3 years ago
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