Hi, I need help with the math questions below.

8) Radium has a half-life of 1620 years. a) Complete the table below. # of 1/2 lives 0 1 2 3 t = # of years after 0 1620 star f(t) = Amount of 3 Radium Present grams b) Suppose the initial mass of some radium was 3 grams. Give an exponential model for the amount of radium left from this mass as a function of time t. C) How much radium would you expect to find after 4000 years? In 9 and 10, the half-life of the carbon isotope "C is about 5700 years. 9 ) About how many years does it take 1000 grams of this substance to decay to 500 grams? 10) About what percent of the original amount would you expect to find after 1000 years? In 11 and 12, an exponential model for the population P (in millions) of Indonesia during the 1980s is given by P = 148.7(1.021)", where y stands for the # of years after 1980 11) In that decade, what was the annual growth rate of Indonesia's population? 12) Use a graphing calculator to estimate when Indonesia's population reached 175 million. 13 ) If the inflation rate 7% when the cartoon below was published in 1977, what was the hourly wage rate then? , Lesson 2-4) TRAVELS WITH FARLEY WHAT'S THAT "WAGES TO BE $4,799 HEADLINE SAY AN HOUR BY THE YEAR THAT'LL BE A GRAND DAY THERE'S GOT HERE IT IS!! SIMON? 2077." A LOAF OF BREAD . THAT'S IF THE INDEED. J $4, 799 AN TO BE A WILL COST $ 368. RATE OF INFLATION HOUR.. HARD TO HITCH !! AND GASOLINE. CONTINUES BELIEVE . IF AVAILABLE-5) Suppose an exponential model of the form f(t) = abt contains the 2 points (3, 20) and (5, 40). a) Substitute the 2 points to get 2 equations. b) Solve the system(nd a and b) by hand without using a calculator. c) Find the initial value of the model. d) What is the growth factor for the model? e) Find the exponential model using a graphing calculator. Round to nearest ten-thousandth. 6) In a study of the change in an insect population, there were about 170 insects for 4 weeks after the study began. and about 320 after 2 more weeks. Assume an exponential model for growth. a) Find an exponential equation using a graphing calculator. Hint: (# of weeks, # of insects) (4, 170)(6,320) y = b) Estimate the initial # of insects. c) Predict the # of insects 5 weeks after the study began. 7) Use the following data from a bacterial growth experiment. Hours 1 2 3 4 5 passed (hr) Population 200 1800 5400 16200 48600 (p) a) Every time one additional hour passes, what happens to the population? b) Give an exponential model for these data. 0) Estimate the population size after 3 hours and 30 minutes have passed