how much money you will need to invest today in a certificate of deposit (CD), earning 5 percent interest, per annum to have $13,000 for the replacement of your dishmachine in next three years. For this option you will need to calculate the present value amount of $13,000 on an investment that earns 5% per year for three years.

11000 times 1.11 for 3 years
11000 (1.11)^3
11000 (1.11)(1.11)(1.11)
12210 (1.11) (1.11)
13553.1 (1.11)
15043.941
as an actual money amount would be 15043.94

second question:
someday three years later equals 13000, you get 5% a year.
x(1 + 5/100)^3 = 13000
x(1.05)^3 = 13000.
x = 13000/(1.05).
x = 13000/(1 + 1/20)^3.
x = 13000/ (20/20 +1/20)^3
x = 13000/ (21/20)^3.
x = 13000/ (21^3/20^3).
x = (20)(20)(20)13000/((21)(21)(21)).
x = (20)(20)260000 / (21)441.
x = (20)5200000/ 9261.
x = 104000000/ 9261.
x = 1129.89 we have to round to dollars and cents because it is an actual physical amount of money.