Today you are to deliver to the tax man one grain of rice. Tomorrow 2, The 3rd day 4 grains, the 4th day 8 grains. You are to continue doubling the amount for a total of 30 days, counting today as day 1.
a) how many grains are you to deliever on the 30th day? Show your method and reasoning
b) using measurement and estimation of actual rice, approximate the weight of the rice you are to deliver on the 30th day. Show and explain the details of the method you can choose to use, and how you are calculating the numbers. Make your solution as general as possible.
2006-10-01 13:19:55 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Day 1 = 1
Day 2 = 2
Day 3 = 4
Day 4 = 8
The equation for this progression is 2^(n-1), where n = day number. For day 30, this is 2^29 = 5.4*10^8, or over 540 million grains. If we assume a grain of rice weighs .03 gram, then the weight of all the rice will be 1.6*10^7 gram or 1.6*10^4 kg. (Rice comes in a wide variety of sizes, but using the nominal size of 10 mm by 2 mm gives a volume of about 30mm^3 or .03cm^3. Since rice is close to density of water, I picked .03gm per grain.)
2006-10-01 13:26:41 · answer #1 · answered by gp4rts 7 · 0⤊ 0⤋
The number of grains of rice would be: 2^29; and this would weigh a lot!
2006-10-01 20:23:54 · answer #2 · answered by bruinfan 7 · 0⤊ 0⤋
use you basic math but the answer is 60 grains of rice on the 30th day
2006-10-01 20:24:21 · answer #3 · answered by nicegirl2 2 · 0⤊ 0⤋
#b weight the rice by the metric system for instance, one grain of rice weights one gram, 454 grams in an ounce ad soforth...by the end of 30 days, should be 3.3 metric tonnes
2006-10-01 20:32:01 · answer #4 · answered by Anonymous · 0⤊ 0⤋
2+2=3 Ha only if Mr. Friedman could see me now.
2006-10-01 20:23:26 · answer #5 · answered by prizelady88 4 · 0⤊ 0⤋
a
2006-10-01 20:23:27 · answer #6 · answered by Jill 1 · 0⤊ 0⤋