Calculus for Students in the Social and Biological Sciences

3. (7pt) A company is accumulating capital at a rate ofD’(t) 2 900: + 5N2:2 + 102:dollars per year, where t is the amount of time (in years) since the company began. (a) (4pt) Assuming that the company started with Do dollars in capital, find a formulafor D(t), the company’s total capital after 15 years. (b) (2pt) After five years, the company has a total of $30,500 in capital. How muchcapital did the company start with? That is, What is Do? (c) (1pt) How much capital will the company have 10 years after it began?