How much would $300 invested at 4 percent interest compounded monthly be worth after 8 years round your answer to the nearest centa. $410.57b. $412.92c. $484.25d. $308.10?

We will use the equation  , where P is the initial amount invested, r is the interest rate in decimal form, n is the number of times in a year the money is compounded, and t is the number of years the money will be invested.  Our P = 300, r = .04, n = 12 (there are 12 months in a year), and t = 8.  Filling in accordingly,  .  Simplifying what we can gives us  .  Doing that addition inside the parenthesis and then raising that number to the 96th power gives us A(t) = 300(1.376395075)  so A(t) = $412.92, choice B above.