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Ne4ueva [31]
3 years ago
5

How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a

year.
Mathematics
1 answer:
Anna007 [38]3 years ago
4 0
For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate. 

If we want the final value F to double given 5% per year interest, F=2P then i=5.

Solving for n:

2P=P(1+0.05)^n
2=(1.05)^n
log(base 1.05)2=n
n=14.206=14.21 years
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Answer:

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Step-by-step explanation:

Find the average rate of change for f(x) = x^2 − 3x − 10 from x = −5 to x = 10.


f(-5) = (-5)^2 − 3(-5) − 10 = 25 + 15 - 10 = 30

f(10) = 10^2 − 3(10) − 10 = 100 - 30 - 10 = 60

Average rate of change:

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-------------------- =   ------------------------------- =   -----------------------  = 2

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Answer:

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Step-by-step explanation:

"If f(x)= 5x + 40, what is f(x) when x = -5?"

Substitute x for -5:

f(x) = 5x + 40

f(x) = 5(-5) + 40

f(x) = -25 + 40

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