1.Charles wants to invest $20,000. The investment firm is offering 8% interest compounded monthly. How much money will he have made if he leaves his money with the bank for 40 years? 2.Lisa’s grandmother left her a $100,000 inheritance. She wants to invest the

money in an account paying 7.2% interest compounded continuously. How much

money will be in the account after 30 years?

3.John saved $50,000. and wants to put the money into an Index Annuity that pays

an average of 8.4% per year, compounded semi-annually. How long will it take

him to reach his goal of $1,000,000?

4.Susie needs to make $100,000 to pay her home mortgage and has $10,000 to

invest. How much interest will she need if her bank compounds the interest

annually to reach her goal?

5.Betty wants to retire in 45 years. She needs $2,000,000. If she’s able to find a

Mutual Fund that offers 9.5% interest and compounds quarterly, how mu

In january 2010, you began a one-year study of tuberculosis (tb) in a subsidized housing community in the lower east side of new york city. you enrolled 500 residents in your study and checked on their tb status on a monthly basis. at the start of your study on january 1st, you screened all 500 residents. upon screening, you found that 30 of the healthy residents had been vaccinated for tb and therefore were not at risk. another 20 residents already had existing cases of tb on january 1st. on february 1st, 5 residents developed tb. on april 1st, 10 more residents developed tb. on june 1st, 10 healthy residents moved away from new york city and were lost to follow-up. on july 1st, 10 of the residents who had existing tb on january 1st died from their disease. the study ended on december 31, 2010. assume that once a person gets tb, they have it for the duration of the study, and assume that all remaining residents stayed healthy and were not lost to follow-up. is the subsidized housing community in the lower east side of new york city a dynamic or fixed population? briefly explain the rationale for your answer. dynamic population it can changeable people can move out and move in into the population of a subsidized housing what was the prevalence of tb in the screened community on january 1st? prevalence = 30/500 0.06= 6% what was the prevalence of tb on june 30th? prevalence= 40/450=0.08= 8.88% what was the cumulative incidence of tb over the year? cumulative incidence = number of new cases/number in candidate population)over specified time period 10/450 = 2.2% suppose that you wanted to calculate the incidence rate of tb in the study population. calculate the amount of person-time that would go in the denominator of this incidence rate. be sure to show your work.