Difference between revisions of "1981 AHSME Problems/Problem 13"
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==Problem== | ==Problem== | ||
+ | Suppose that at the end of any year, a unit of money has lost 10% of the value it had at the beginning of that year. Find the smallest integer <math>n</math> such that after <math>n</math> years, the money will have lost at least <math>90%</math> of its value (To the nearest thousandth <math>log_{10}^{3}=0.466</math>). | ||
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+ | <math>\textbf{(A)}\ 14\qquad\textbf{(B)}\ 16\qquad\textbf{(C)}\ 18\qquad\textbf{(D)}\ 20\qquad\textbf{(E)}\ 22</math> |
Revision as of 23:04, 7 September 2024
Problem
Suppose that at the end of any year, a unit of money has lost 10% of the value it had at the beginning of that year. Find the smallest integer such that after years, the money will have lost at least $90%$ (Error compiling LaTeX. Unknown error_msg) of its value (To the nearest thousandth ).