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Orlov [11]
3 years ago
15

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By

dividing 72 by the annual rate of return, investors obtain a rough estimate of how many years it will take for the initial investment to duplicate itself. You want to double your initial investment of $5,000. You put your money in a high yield interest-bearing account earning 6% per year. How long will it take to double your money?
Mathematics
1 answer:
Verdich [7]3 years ago
7 0

Answer: 12 years

Step-by-step explanation:

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3 years ago
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A function is given. h(t) = t2 + 3t; t = −1, t = 2
Arlecino [84]

Answer:

(a) The net change of the function is 12.

(b) The average rate of change of the function 4.

Step-by-step explanation:

The average rate of change of function f(x) over the interval a\leq x\leq b is given by this expression:

average rate of change =  \frac{net \:change \:in \:y}{change \:in \:x} = \frac{f(b)-f(a)}{b-a}

It is a measure of how much the function changed per unit, on average, over that interval.

Given:

h(t)=t^2+3t\\\\t=-1\\t=2

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The net change is simply the difference

h(2)-h(-1)=10-(-2)=12

(b) The average rate of change takes the net change and divides it by the change in the t value.

\frac{12}{2-(-1)} =\frac{12}{3}=4

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