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Solve the following problems carefully with detailed workings, steps and answer statements. Write all your answers on the spaces provided below each question. Layton Industries is investing $3000 at the end of each quarter to modernize their equipment 10 years from now. Their investment earns an annual interest rate of 9% compounded quarterly. Assuming that the first $3000 will be invested one quarter from now, (Round all your answers to two decimal places) a. how much will they have accumulated at the end of 10 years' time? b. how much interest have been earned over the ten years' time? c. instead of investing $3000 at the end of each quarter, an equal amount will be invested at the end of each month over the 10 years' time. Assuming that the first investment is made one month from now, how much is each of these monthly investments so that the same amount as determined in part (a) can be accumulated at the end of 10 years' time if the annual interest rate is 9% compounded monthly