1. 1. Write the given expression in the form (^)

5(2^/10^)

(Express numbers in exact form. Use symbolic notation and fractions whereneeded.)

2.

500 W are often used to mode] population growth. 9 _ _ Logistic functions such as NU) : Suppose a population is modeled by this function, with time 1' measured in years. Logistic population growth always has a limiting value, known as the environmental carrying capacity. It is the largest population that the environment can support. Plot the graph of the population and the line that corresponds to the value of the environmental carrying capacity for this population over the rst 80 years. (Enter expressions in terms of: to graph. Separate multiple expressions with commas.) Two equations: ll Write a function that gives the balance B of the given investment in terms of the time t in years. Use Hg for the initial balance APR of??? compounded continuously A population is decreasing by 8% per year. Using No for initial population, find an exponential function / that models the population as a function of the time f in years.A cleaning process reduces the amount of chlorine in contaminated water by 7% per hour. Using Co for the initial amount of chlorine, find an exponential function C() that gives the amount of chlorine remaining after t hours. (Provide an answer in the form a(b' ). Express numbers in exact form. Use symbolic notation and fractions where needed.) C(t) = Make a graph of the amount of chlorine remaining that covers the first 30 hours of the cleaning process if there are initially 55 grams in the water. (Enter expression in terms of f to graph.)Find a function that gives the balance B of the given investment in terms of the time t in years. Use Bo for the initial balance. APR of 0.3% compounded continuouslyFind a function that gives the balance B of the given investment in terms of the time t in years. Use Bo for the initial balance. APR of 0.5% compounded semiannually