Difference between revisions of "1985 AJHSME Problems/Problem 21"
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==Solution== | ==Solution== | ||
| − | Assume his salary is 100 dollars | + | Assume his salary is <math>100</math> dollars. Then in the next year, he would have <math>110 dollars</math>, and in the next he would have <math>121</math> dollars. The next year he would have <math>133.1</math> dollars and in the last year, he would have <math>146.41</math>. As the total increase is greater than <math>45%</math>, the answer is <math>\boxed{\text{E}}</math>. |
| + | |||
| + | Note that we could have generalized this for any integer <math>n</math>. | ||
==See Also== | ==See Also== | ||
Revision as of 14:42, 26 November 2016
Problem
Mr. Green receives a 
raise every year. His salary after four such raises has gone up by what percent?
Solution
Assume his salary is 
dollars. Then in the next year, he would have 
, and in the next he would have 
dollars. The next year he would have 
dollars and in the last year, he would have 
. As the total increase is greater than $45%$ (Error compiling LaTeX. Unknown error_msg), the answer is 
.
Note that we could have generalized this for any integer 
.
See Also
| 1985 AJHSME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 20 |
Followed by Problem 22 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
