Rhonda started a business. her business made $30,000 in profits the first year. her annual profits have increased by an average of 5% each year since then. (

a. write an iterative rule to model the sequence formed by the profits of rhonda's business each year. (

b. use the rule to determine what the annual profits of rhonda's business can be predicted to be 15 years from the start of her business. round your answer to the nearest dollar. do not round until the end. show your work.

Question

Mathematics

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15 May, 19:19

Rhonda started a business. her business made $30,000 in profits the first year. her annual profits have increased by an average of 5% each year since then. (

a. write an iterative rule to model the sequence formed by the profits of rhonda's business each year. (

b. use the rule to determine what the annual profits of rhonda's business can be predicted to be 15 years from the start of her business. round your answer to the nearest dollar. do not round until the end. show your work.

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Answers (1)

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Jimena Burch · Answer 1

A.) The required iterative rule is Pn = 30,000 (1 + 0.05) ^n

Pn = 30,000 (1.05) ^n

b.) P (15) = 30,000 (1.05) ^15 = 30,000 (2.078928179) = $62,367.85

Therefore, the profit for the 15th year is $62,368