. Question1 T ' it I? ' A population numbers 15, organisms initially.r and grows by 11.996 each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = ; - bi where P . Question 2 A bank features a savings account that has an annual percentage rate of 'I" = 2.495 with interest compounded Quarterly. Jacob deposits 59,5130' into the account. in T The account balance can be modeled by the exponential formula Aft] = .(1 + I) , where A is account value after t years , a is the principal [starting amount}, 1" is the annual percentage rate, 3: is the number of times each year that the interest is compounded. {A} What values should be used for {1, r, and k? a = :1: r = :1: k = :1 {B} How much money will Jacob have in the account in 3 years? Answer = 5 C]. Round answer to the nearest penny. {C} What is the annual percentage yield {APY} for the savings account? {The AFY is the actual or effective annual percentage rate which includes all compounding in the year}. APT: :l' Round answer to 3 decimal places. . Question 5 A population of bacteria is growing according to the equation P(t) = 1550ed. Estimate when the population will exceed 3314. t= Give your answer accurate to one decimal place.. Question 6 B K R O Match each equation with a graph above 3(1.3)7 a. orange (0) v 4(1.3) 7 b. blue (B) v 4(1.5) c. black (K) 4(0.67) d. red (R) - v 4(0.86) e. green (G) - vQuestion 7 The doubling period of a bacterial population is 15 minutes. At time t = 90 minutes, the bacterial population was 70000. What was the initial population at time t = 0? Find the size of the bacterial population after 4 hours