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Question

An initial investment of $1000 is appreciated for 11 years in an account that earns 4% interest, compounded semiannually

Answer 1

The formula for compound interest is A = P(1 + R/N) ^ (NT). A is ending amount in account, P is principal or amount started with, R is interest rate n is number of compounds per year, and T is time in years. So your problem boils down to evaluating the expression 

A= 1000(1 + .04/2) ^ (11*2) which results in A= 1000(1.02)^22 which is 1545.98 .