n investor purchased a piece of waterfront property. Because of the development of a marina in the vicinity, the market alue of the property is expected to increase according to the rule v(t) = 50,000e" here V(t) is measured in dollars and t is the time (in years) from the present. If the rate of appreciation is expected to %/year compounded continuously for the next 8 years, find an expression for the present value P(t) of the property's harket price valid for the next 8 years. (t) =| /hat is P(t) expected to be in 2 years? (Round your answer to the nearest cent.)

Suppose that inflation is 4% per year. How long will it take for prices to double? N = 1% = PV = PMT = FV = P/Y and C/Y

If $P is invested for n years at 12% compounded continuously, the future value that results after n years is given by the function S = Pe0.12n. (a) At what rate is the future value growing at any time (for any nonnegative n)? Your answer cannot be understood or graded. More Information = (u),s (b) At what rate is the future value growing after 1 year (n = 1)? S'(1) = %3D

11) Suppose that $6500 is invested at 4% for 3 years. Find the total amount present at the end of 3 years if the interest is compounded (a) monthly (b) continuously.