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The cost ($C) of a snow globe is made up of two parts. The first part varies directly as the square of its radius (r cm), and the second part varies directly as the cube of its radius. The cost of a snow globe of radius 3 cm is $27, while the cost of a snow globe of radius 5 cm is $95. (a) Express C in terms ofr. Explaie (b) Terry sells 200 snow globes of radius 6 cm at $180 each. Can he make a total profit of more than $5700? Explain your answer.

The cost ($C) of a snow globe is made up of two parts. The first part varies directly as the square of its radius (r cm), and the second part varies directly as the cube of its radius. The cost of a snow globe of radius 3 cm is $27, while the cost of a snow globe of radius 5 cm is $95. (a) Express C in terms ofr. Explaie (b) Terry sells 200 snow globes of radius 6 cm at $180 each. Can he make a total profit of more than $5700? Explain your answer.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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25. The cost ($C) of a snow globe is made up of two parts. The first part varies directly as the square of its radius (r cm), and the second part varies directly as the cube of its radius. The cost of a snow globe of radius 3 cm is $27, while the cost of a snow globe of radius 5 cm is $95. (a) Express C in terms of r. EXplain (b) Terry sells 200 snow globes of radius 6 cm at $180 each. Can he make a total profit of more than $5700? Explain your answer. МОСКВА
Transcribed Image Text:25. The cost ($C) of a snow globe is made up of two parts. The first part varies directly as the square of its radius (r cm), and the second part varies directly as the cube of its radius. The cost of a snow globe of radius 3 cm is $27, while the cost of a snow globe of radius 5 cm is $95. (a) Express C in terms of r. EXplain (b) Terry sells 200 snow globes of radius 6 cm at $180 each. Can he make a total profit of more than $5700? Explain your answer. МОСКВА
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