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tino4ka555 [31]
3 years ago
9

At 10 percent interest, how long does it take to quadruple your money?

Mathematics
1 answer:
horsena [70]3 years ago
7 0

It takes about 14.55 years for quadruple your money

<em><u>Solution:</u></em>

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

<em><u>Rule of 144 Formula: </u></em>

N = \frac{144}{R}

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

\rightarrow N =  \frac{144}{10} = 14.4

Thus it takes about 14.4 years for quadruple your money.

<em><u>Another method:</u></em>

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

Amount = Principal(1+\frac{R}{100})^n

4 = 1(1+\frac{10}{100})^n

4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55

Thus Option D 14.55 years is correct

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