Infinite Geometric Series Word Problems

A ball drops from a height of 10 ft bounces back 9/10 of that distance. With each successive bounce, the ball continues to reach 9/10 of its previous height. What is the total vertical distance (both up and down) traveled by the ball when it stops bouncing?
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the general term of an infinite geometric series is 12(2/3)n1 determine the sum of the series
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A ball is thrown downward so that it bounces up to a height of 30 feet. After each successive bounce, the ball rises to 3/5 of its previous height.
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In a particular lake the intensity of light is reduced by 3% for each metre that a diver descends below the surface of the water. How far below the surface is the intensity only 5% of that at the surface (answer to nearest metre)
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A tennis ball dropped from a height of 30 feet bounces 40 percent of the height from which it fell on each bounce. What is the verticle distance if it travels before coming to a rest?
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If you deposit $1000 into an account at t=0 and an additional $1000 at the end of each year for the next 30 years, how much will your account be worth after 30 years if interest is 10% each year?
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