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Nookie1986 [14]
3 years ago
13

If a town with a population of 30,000 doubles in size every six years what will the population be 12 years from now

Mathematics
1 answer:
padilas [110]3 years ago
3 0
120000 is the answer

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Step-by-step explanation:

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The solution of the equation 5-2x=-4x-7 is?​
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Answer: x=-6

Step-by-step explanation:

5-2x=-4x-7

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(-6u+3c+4)+(5u-5c)<br> help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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Fiona invested $1000 at 7% compounded continuously. At the same time, Maria invested $1100 at 7% compounded daily. How long will
Natali [406]

9514 1404 393

Answer:

  14,201 years

Step-by-step explanation:

The two compound interest formulas are ...

  A = P·e^(rt) . . . . . continuous compounding at rate r for t years

  A = P·(1 +r/365)^(365t) . . . . . daily compounding at rate r for t years

We went the amounts to be equal:

  1000·e^(0.07t) = 1100·(1+0.07/365)^(365t)

Dividing by 1000(1 +0.07/365)^(365t), we have ...

  ((e^0.07)/(1+0.07/365)^365)^t = 1.1

The base of the exponential on the left is ...

 ( e^0.07)/(1+0.07/365)^365 ≈ 1.00000671149321522

Taking logs, we have ...

  t×ln(1.00000671149321522) = ln(1.1)

  t = ln(1.1)/ln(1.00000671149321522) ≈ 0.09531018/(6.7114704·10^-6)

  t ≈ 14,201.09 . . . . . years

It will take about 14,201 years for the investments to be equal.

_____

<em>Additional comment</em>

The investment value at that time will be about $5.269·10^434. (That's a larger number than <em>anything</em> countable in the known universe, including energy quanta.)

These calculations are beyond the ability of many calculators, so might need to be carefully rewritten if the calculator only keeps 10 significant digits, or only manages exponents less than 100.

This shows that daily compounding is very close in effect to continuous compounding. It would take almost 150 years to make a difference of 0.1% in value.

4 0
3 years ago
60 sixth graders 40% of the sixth graders will attend.
nika2105 [10]
I don't see a question here, but I think your asking how many sixth graders will attend. The answer is 24.
4 0
3 years ago
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