A company incurs debt at a rate of D'(t) = 102(t+10) √ ₁²+ + 20t dollars per year, where t is the amount years) since the company began. By the 16th year the company had accumulated $470,866 in debt. (a) Find the total debt function. (b) How many years must pass before the total debt exceeds $950,000? (a) The total debt function is D(t) = (Use integers or fractions for any numbers in the expression.)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CT: Chapter Test
Problem 4CT
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A company incurs debt at a rate of D'(t) = 102(t+10)√₁²+ + 20t dollars per year, where t is the amount
years) since the company began. By the 16th year the company had accumulated $470,866 in debt.
(a) Find the total debt function.
(b) How many years must pass before the total debt exceeds $950,000?
(a) The total debt function is D(t) =
(Use integers or fractions for any numbers in the expression.)
Transcribed Image Text:A company incurs debt at a rate of D'(t) = 102(t+10)√₁²+ + 20t dollars per year, where t is the amount years) since the company began. By the 16th year the company had accumulated $470,866 in debt. (a) Find the total debt function. (b) How many years must pass before the total debt exceeds $950,000? (a) The total debt function is D(t) = (Use integers or fractions for any numbers in the expression.)
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