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Q15c  (7 pts) Mary’s Taxi Services purchases a sedan and estimates that its salvage value V(t), in dollars, after t years, is given by         V(t)= 32,500e-0.13t a) What did the sedan cost originally? b) What is the salvage value after 4 years? c) Find the rate of change of the salvage value after 4 years, and explain its meaning.    ( Round all your answers to the nearest whole number)                                                  

Q2a (10 pts) Find the equation of the tangent line to the graph of

Q5a-3 point   Draw a graph on the paper to match the description. g(x) has a negative derivative over (-∞, -1) and (3, 5) and a positive derivative over (-1, 3) and (5, ∞).

Q15a (7 pts) Will’s Taxi Services purchases a sedan and estimates that its salvage value V(t), in dollars, after t years, is given by           V(t)= 23,500e-0.12t a) What did the sedan cost originally? b) What is the salvage value after 4 years? c) Find the rate of change of the salvage value after 4 years, and explain its meaning. ( Round all your answers to the nearest whole number)                                                                                       

Q6a ( 5 pts)   Differentiate                                                                                                                                                                                                         

Q3c(5 pts) Find the first derivative for

Q16d ( 5 pts) Solve the problem. A radioactive substance has a half-life of 35 years. What is the decay rate? ( Round your final answer to the nearest two decimal places)                                                                                                                                                                                                                                                                                                                      

Q14b (10 pts) Solve the problem. If an amount P0   is invested in an account and interest is compounded continuously at 4.3% per year, the balance P grows at the rate is given by     a) Find the function that satisfies the equation and write it in terms of P0 and 0.043. b)Suppose $ 2000 is invested. What is the balance after 2 yr? c) What is the rate of change of the balance after 2 yr? (Give all answers to nearest cents)                                                                                                                                                                         

Q6c( 5 pts) Differentiate.

Q 16 B – 8pts Solve the problem.A population grows from an initial size of 2 people to an amount P(t), given by  where t is measured in years from 1990. Find the acceleration in the population years from 1990.