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# The amount of an investment will double in approximately 70/ p years,

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The amount of an investment will double in approximately 70/ p years, [#permalink]
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Bunuel wrote:
The amount of an investment will double in approximately 70/ p years, where p is the percent interest, compounded annually. If Thelma invests $40,000 in a long-term CD that pays 5 percent interest, compounded annually, what will be the approximate total value of the investment when Thelma is ready to retire 42 years later? A.$ 280,000
B. $320,000 C.$ 360,000
D. $450,000 E.$ 540,000

This question can be done in simple steps.

1) Find the number of years investment will double in this case. Use the formula, with interest rate, p = 5 percent

Doubling = $$\frac{70}{p}$$ years

Doubling = $$\frac{70}{5}$$years = 14 years to double

2) In the longer span of 42 years, how many times will investment double?

$$\frac{TotalYears}{YrsToDouble}$$ = # of times the money will double

$$\frac{42}{14}=$$ 3 times that the money will double

3) Total at the end?

Money doubles (*2) three times: $$(2)(2)(2) = 2^3$$
$$(40,000 * 2^3) = (40,000*8) = 320,000$$

OR, very simply:

$40,000 Start +14 yrs =$80,000
+14 yrs =
$160,000 +14 yrs =$320,000 End

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Re: The amount of an investment will double in approximately 70/ p years, [#permalink]
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Re: The amount of an investment will double in approximately 70/ p years, [#permalink]
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