Suppose the interest rate is r%
then 2 = (1+r/100)11
so that ln(2) = 11*ln(1+r/100)
Then ln(1+r/100) = ln(2) /11
so 1 +r/100 = exp[ln(2)/11]
so r/100 = exp[ln(2)/11] - 1
r = 100*{exp[ln(2)/11] - 1} = 6.504 % approx.
The sixth root of 2 (which can be calculated as 2 to the power (1/6)) is 1.1225. If you subtract one, you get 0.1225, so 12.25%.
75 x 7 x 2 = 1050
14.87% per annum, compounded for 5 years would give back very slightly more than double (2.000014).
750 invested for 10 years at 10% pa would be 1,945
Compound Interest = P(1+r/100n)(nt) P = Original Investment r = Interest Rate n = How often the interest is compounded per year t = Number of years Interest = 200(1+6/100)6 = 200(1.06)6 =$283.70
Sometimes. It depends on the interest rate. The rule of 72 will tell you when your investment will double.Example(usage): you invest x dollars at 9% interest per year. 72/9 = 8It will take 8 years for your investment to reach 2x at 9% annual interest.The interest needed to double an investment in 10 years is:72/x=107.2% interestSo if your investment had an annual interest rate of 7.2% it would double in 10 years.
Simple interest: 100/6 ie 16.67%
The Rule of 7 is a simple way to estimate how long it will take for an investment to double in value at a fixed annual interest rate. According to this rule, you can divide the number 72 by the annual interest rate (expressed as a percentage) to get an approximate number of years for the investment to double. For example, if the interest rate is 6%, it would take about 12 years (72 ÷ 6) for the investment to double. This rule provides a quick and easy way to assess the growth potential of investments over time.
Rule of seventy two is used to ascertain the period by which an investment would grow by 100%. 72 divided by rate of interest would provide the approximate period by which the investment would become double. As an example, if the rate of interest is 6% per month, the investment would be doubled in ( 72/6) 12 months. Rule of 72 thus is an important tool to know the investment horizon.
Depends on how you invested it and what rate of return that investment delivered.
To determine the interest rate required to double your money in 9 years, you can use the Rule of 72, which suggests dividing 72 by the desired number of years. In this case, 72 divided by 9 equals 8, indicating that an approximate annual interest rate of 8% would be needed to double your investment in that time frame.
This would depend on how much interest you are making on your investment. The questions is incomplete because there are so many variables that would change the answer.
It depends on the interest rate. If it was a 10% rate, it would generate $10.00
There is a quick and dirty way to convert simple interest to compound interest. First you need to know how long it will take to double your initial number. For Example: Let's say that you find an investment that pays 10% simple interest. That means it takes 10 years to double your investment. We then use the rule of 72 to determine the rate of compound return will give an equivalent time. The rule of 72 says that you divide either the rate of return or the time period into 72 to come up with the other. So, in this example we want to know what interest rate would double our money in 10 years. divide 72 by 10 = 7.2 This means that 7.2% compound interest is equal to 10% simple interest.
To use the Rule of 72, you need two key pieces of information: the expected annual rate of return on an investment and the target number of years you want to double your investment. You simply divide 72 by the annual rate of return to estimate how many years it will take for your investment to double. This rule provides a quick mental calculation for understanding the effects of compound interest.
To determine how long it will take for an account balance to double with an annual interest rate of 0.75% compounded monthly, you can use the Rule of 72 as a rough estimate. Dividing 72 by the interest rate (72 / 0.75) gives approximately 96 years. For a more precise calculation using the formula for compound interest, it would take about 93.5 years to double the investment.
The interest you would earn on $50 million depends on the interest rate and the type of account or investment. For example, at a 1% annual interest rate, you would earn $500,000 in a year. If the rate were 5%, you would earn $2.5 million annually. Always consider factors like compounding frequency and investment duration for a more accurate estimate.