Mountain Grains Cooperative wants to invest $50,000 in a short-term deposit. The bank offers 1.6% interest for a one-year term and 15% for a six-month term (a) How much would Mountain Grains recene if the $50,000 is invested for one year? (b) How much would Mountain Grains receive at the end of one year if the $50,000 is imested for six months and then the principal and inferest earned is reinvested for another six months? (c) What would the one-year rate have to be to yield the same amount of interest as the investment described in part (b)? (a) After one year, Mountain Grains will have? (Round the finat answer to the nearest cent as needed. Round all intermediate walues to six decimal places as needed) (b) One year after the intial imestment, Mountain Grains will have $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed) (c) The one-yeat rate to yeid the same amount of interest as the imvestment described in part (b) is %. (Round the firal answer to three decimal places as needed. Round all intemediate values to six decimal places as needed)