please help me with these questions.

Find the total income produced by a continuous income stream in the first 10 years if the rate of flow is given by the following function, where t is time in years. [(t) = 3500 How much was earned over 10 years? $ Find the total income produced by a continuous income stream in the first 3 years if the rate of flow is given by the following function, where t is time in years. (t) = 300 e 0.05t What is the total income earned? s (Round to the nearest dollar as needed.) 3 Starting at age 25, you deposit $2000 a year into an IRA account for retirement. Treat the yearly deposits into the account as a continuous income stream. If money in the account earns 6%, compounded continuously, how much will be in the account 40 years later, when you retire at age 65? How much of the final amount is interest? What is the value of the IRA when you turn 65? $(Round to the nearest dollar as needed.) 4 Find the future value at 6.25% interest, compounded continuously for 4 years, of the continuous income stream with rate of flow f(t) = 825 e - 0.02t What is the future value of the investment? s (Round to the nearest dollar as needed.) 5 The future value at 4.5% interest, compounded continuously for 7 years, of the continuous income stream with rate of flow f(t) = 1,300 e -0.021, is $10,018. Compute the interest earned. s(Type an integer or a decimal) 6 An investor is presented with a choice of two investments: an established clothing store and a new book store. Each choice requires the same initial investment and each produces a continuous income stream of 4%, compounded continuously. The rate of flow of income from the clothing store is f(t) = 16,000, and the rate of flow of income from the book store is expected to be g(t) = 14,000 e :0. Compare the future values of these investments to determine which is the better choice over the next 8 years. The future value of the clothing store is $. (Round to the nearest dollar as needed.)