Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is 2.5 inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

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Answer 1

Question

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

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There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three investment? STEP 1: The formula for compound interest is A = nt = P(1 + − − ) n², where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to A = Pert Find r and n for each model, and use these values to write A in terms of t for each case. Annual Model r=0.10 A = Y(t) = 1150 (1.10)* n = 1 Quarterly Model r = 0.10 n = 4 A = Q(t) = 1150(1.025) 4t Continuous Model r=0.10 A = C(t) =…

Answer 2

Question

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

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Answer 3

Question

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

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Answer 4

Question

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

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Answer 5

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

Answer 6

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

Answer 7

Chapter 12.2, Problem 66AE

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

Answer 8

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

Answer 9

To determine

To find: Ladders used by fruit pickers are typically tapered with a wide bottom for stability and a narrow top for ease of picking. If the bottom rung of such a ladder is 49 inches wide and the top rung is 24 inches wide, how many rungs does the ladder have if each rung is $2.5$ inches shorter than the one below it? How much material would be needed to make the rungs for the ladder described?

Answer 10

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Answer 11

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Answer 12

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Answer 13

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