Daniel Twumasi has found an investment institution that will pay him 8% annual interest, compounded quarterly. If he leaves the money in the account for 24 months (2 years), he will be paid 2% interest compounded over eight periods. Future value from investing $100 at 8% Interest Compounded Quarterly over 24 Months (2 Years).
a. Using the details above separately estimate the semiannual compounding interest and quarterly compounding.
b. Find the future value at the end of years 1 and 2 from Investing $100 at 8% Interest, given various compounding periods stated in statement above.

Asmall town wants to build some new recreational facilities. the proposed facilities include a swimming pool, recreation center, basketball court and baseball field. the town council wants to provide the facilities which will be used by the most people, but they face budget and land limitations. the town has $400,000 and 14 acres of land. the pool requires locker facilities which would be in the recreation center, so if the swimming pool is built the recreation center must also be built. also, the council has only enough flat land to build the basketball court or the baseball field. the daily usage and cost of the facilities (in $1,000) are shown below. which facilities should they build? facilityusagecost ($1,000)landswimming pool4001002recreation center5002003basketball court3001504baseball field2001005