Using a copy machine, copy a 8.5x11 inch paper at 60%. the copy the copy at 60%, and repeat this you until you have 5 copies of the original. what's the largest dimension now? What's a formula you could use?
2006-12-06 16:07:16 · 4 answers · asked by Roman O 1 in Science & Mathematics ➔ Mathematics
E=MC2
2006-12-06 16:09:17 · answer #1 · answered by Fyrebyrd 3 · 1⤊ 0⤋
Solve the problem and discover the formula:
copy, size (large dimension)
-------------
0, 11 start
1, 11*0.6 = 11*(0.6)^1
2. 11*0.6*0.6 = 11*(0.6)^2
3, 0.6 times the step 2 result: 11*(0.6)^3
...
k, 11*(0.6)^k is the general formula.
You're much better off being able to derive formulas from general principles than to memorize them. This kind of problem solving technique is quite powerful
2006-12-07 00:17:37 · answer #2 · answered by modulo_function 7 · 0⤊ 0⤋
The longest dimension is 11", and 60% = 0.6
so what you'll have after 5 copies is:
11*0.6*0.6*0.6*0.6*0.6 or 11"(0.6 to the power of 5)
this equals 11"(.07776) =0.85536"
2006-12-07 00:24:33 · answer #3 · answered by waldon l 2 · 0⤊ 0⤋
11*0.6^5
2006-12-07 00:10:23 · answer #4 · answered by Anonymous · 0⤊ 0⤋