(1) You have $10,000 to invest for 10 years, and you are given 2 choices: (1) Receive interest at a continuously compounded rate of (0) = 11%, or (II) Receive interest at an annual compounded rate of f() = 12%. Which is better and by how much? Future shop is offering a special deal on TVs. If you buy today, you don't need to make any payments for one year. Starting one year from today, you must make 12 monthly payments of $200. (So the first payment is one year from today, and the second one, 1 month later.) If interest rates are (12) = 12%, what is the purchase price of the TV?