A company incurs debt at a rate of D'(t) = 102(t+10)√₁²+ + 20t dollars per year, where t is the amountyears) 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.)

Answered: Image /qna-images/answer/773d4779-488d-4f68-9c79-506466f01780.jpg

Answered: A company incurs debt at a rate of…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Similar questions

The total expenditures (in millions) of current dollars for pollution abatement and control during the period from 2000 through 2019 can be approximated by the function P(x) = 166.61 e 0.03x, where x = 0 corresponds to the year 2000. (a) In what year would the total expenditures reach $208 million dollars? (b) If this model remains accurate, when would the total expenditures reach $482 million? (a) The expenditures would reach $208 million in the year mid- (Simplify your answer. Type a whole number.)
2. Lijah opened an account at Advantis Credit Union. The balance of her account after x years is represented by the function b(x) = 500(1.05)*. What annual interest rate is Lijah earning? а. b. After how many years did it take for Lijah's balance to double? Show all of your work.
In a certain culture, an initial population of 6000 bacteria grows to 9000 bacteria after 20 minutes. (a) Determine the function n(t)=n0ert that models the number of bacteria after t minutes. (b) How many bacteria are present after 2 hours?
According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate continues, the model t – 2008 P(t) = 304 · (1.011)* represents the population P (in millions of people) in year t. According to the model, when will the population be 366 million people? Be sure to round your answer to the nearest whole year. Year
The amount of money in an investment is modeled by the function A(t) = 650(0.7969)'. The variable A represents the investment balance in dollars, and t the number of years since 2001. (A) In 2001, the balance was $ (B) The amount of money in the investment is increasing exponentially (C) The annual rate of change in the balance is r = or r = %. (D) In the year 2009 the investment balance will equal Round answer to the nearest penny. %24

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