My Math Forum Is my answer key wrong?

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 September 12th, 2011, 08:57 PM #1 Newbie   Joined: Aug 2011 Posts: 9 Thanks: 0 Is my answer key wrong? The Problem: In 2003, the US national debt was about $7 trillion. If payments were made at the rate of$1,000 per second, how many years would it take to pay off the debt, assuming that no interest were charged? (Note: 1 year = 3.156*10^7 seconds) I got 221.8 years, but the answer key says 100 years... Don't see how I'm wrong though.
 September 12th, 2011, 10:56 PM #2 Senior Member     Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,163 Thanks: 472 Math Focus: Calculus/ODEs Re: Is my answer key wrong? We can find the time t in years from: $t=\frac{7\times10^{12}\text{ dollars}}{1\times10^3\text{ \frac{dollars}{second}}}\cdot\frac{1\text{ year}}{3.156\times10^7\text{seconds}}\approx221.8\ text{ years}$ I'd say you are correct!

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