please solve and explain the formula!

thanks in advance!

Find the amount to which $800 will grow under each of these conditions: a. 16% compounded ennually for 8 years. Do not round intermediate calculations. Round your answer to the nearest cent. 5 b. 16% compounded semiannuali for 8 years. Do not round intermediate calculations. Round your answer to the nearent cent. 5 c. 16\% compounded querterfy for 8 years. Do not round intermediate calculations. Round your answer to the nearest cent. 4 d. 16\% compounded monthly for 8 years. Do not round intermediate calculations. Round your answer to the nearest cent: 5 e. 16% compounded dally for: 8 yeans. Assume.36S-days in a yeer. Do not round intermediote calculations. Round your answer to the neerest cent. (5) 1. WTy does the observed pattem of FVs occur