Like any loan, the government accrues interest that compounds over time on the amount it owes. If the annual interest rate is r, then the number of years it takes for the amount of money owed to increase by a factor of x is(adsbygoogle = window.adsbygoogle || []).push({});

Y=1/r ln(x)

where ln is the natural logarithm.

The average interest rate on the U.S. national debt is about 5%. If the government neither borrows any more money, nor pays back any of the money it owes, how many years will it take for the total debt to double?

Give your answer using the built-in function ln.

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# Homework Help: Numerical Problems: The U.S. National Debt

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