An annuity makes payments for 50 years with the following payment pattern: $1 paid at the end of the first year, $2 at the end of the second year, $1 at the end of the third year, $4 at the end of the fourth year, $1 at the end of the fifth year, etc. This pattern will continue such that $1 will be paid out at the end of the 49th year and $50 will be paid out at the end of the 50th year. What is the present value of this annuity assuming the interest rate is 5% per annum convertible quarterly?

Atax on the sellers of coffee will a. increase the price of coffee paid by buyers, increase the effective price of coffee received by sellers, and increase the equilibrium quantity of coffee. b. increase the price of coffee paid by buyers, increase the e ffective price of coffee received by sellers, and decrease the equilibrium quantity of coffee. c. increase the price of coffee paid by buyers, decrease the effective price of coffee received by sellers, and increase the equilibrium quantity of coffee. d. increa se the price of coffee paid by buyers, decrease the effective price of coffee received by sellers, and decrease the equilibrium quantity of coffee.

Over the past several years, joyce chen has been able to save regularly. as a result, today she has $54,188 in savings and investments. she wants to establish her own business in 5 years and feels she will need $100,000 to do so. a. if she can earn 6% on her money, how much will her $54,188 in savings/investments be worth in 5 years? will joyce have the $100,000 she needs? if not, how much more money will she need? b. given your answer to part a, how much will joyce have to save each year over the next 5 years to accumulate the additional money? assume she can earn interest at a rate of 6%. c. if joyce can afford to save only $4,000 a year then, given your answer to part a, will she have the $100,000 she needs to start her own business in 5 years?

Scientists developed the first successful human cell culture in vitro (grown in a lab) in the 1950s by removing cancer cells from a woman. this concept has allowed modern scientists to successfully grow organs. which of the following answers  bestdetermines why there was success?   neurons send a signal to the cell to multiply.a large blood supply to the cell allows enough nutrients for growth.cells are the basic unit of life and thus can regenerate if in a controlled environment.cells cannot reproduce on their own, and the scientist manipulates them to grow.