I need help with these questions

5. Write an exponential equation. in the form y = ab" , to model each of the following situations. a. The cost of a home is $385 000 and it increases at a rate of 4.5%/a (per annum) Represent the cost of the home. C(), after t years. (1 mark) b. A car is valued at $38 000 when it is first purchased, and it depreciates by 14% each year after that. Represent the value of the car, V(n). after n years. (I mark) C. There are 450 bacteria at the start of a science experiment, and this amount triples every hour. Represent the total number of bacteria, T(), after h hours. (1 mark) d. The population of fish in a lake is 4000 and it decreases by 7% each year. Represent the population of fish, P(), after / years. (1 mark) 6. A student deposited money into a savings account. The following equation models the amount of money in the account, A(), after : years. A () = 1400 (1.035)' a State the initial amount of money deposited into the account. (I mark) b. Determine the annual interest rate being paid on the account. (1 mark) c. Use the equation to find the amount of money, to the nearest dollar, in the account after 10 years. ( 1 mark) d. How many years, to the nearest whole year, will it take for the account to have at least $2300? (1 mark)