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The doctor has told Cal O'Ree that during his ten weeks of working out at the gym, he can expect each week's weight loss to be $1\%$ of his weight at the end of the previous week. His weight at the beginning of the workouts is $244$ pounds. How many pounds does he expect to weigh at the end of the ten weeks?

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pedrocarratore

Answer:

220.67 pounds

Step-by-step explanation:

This problem can be treated as a compounded interest with a weekly rate of -1%. Cal's weight after 'n' weeks at a 1% loss rate per week is described by the following expression:

[tex]W = 244*(1-0.01)^n[/tex]

For n = 10 weeks, Cal's weight is:

[tex]W = 244*(1-0.01)^{10}\\W=220.67\ pounds[/tex]

He expects to weigh 220.67 pounds at the end of the ten weeks.

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