A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, what is the total weight in tons of all the wheat that will be placed on the first 57 squares? (Assume that each grain of wheat weighs​ 1/7000 pound. Remember that 1 ton=2000 ​lbs.) ​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to six decimal places as​ needed.)

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter1: Basic Concepts And Properties
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A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of​ wheat, on the third​ square, four grains of​ wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining​ squares, what is the total weight in tons of all the wheat that will be placed on the first 57 squares? (Assume that each grain of wheat weighs​ 1/7000 pound. Remember that 1 ton=2000 ​lbs.)

​(Use scientific notation. Use the multiplication symbol in the math palette as needed. Do not round until the final answer. Then round to six decimal places as​ needed.) 

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