How much money has to be invested at 5.9% interest compounded continuously to have $15,000 after 12 years?
7465.50
7402.26
7427.73
7389.43

The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.

Step-by-step explanation:

The given is,

                Future value, F  = $15,000

                           Interest, i = 5.9%

              ( compounded continuously )

                            Period, t = 12 years

Step:1

           Formula to calculate the present with compounded continuously,

                                       ...............(1)

           Substitute the values in equation (1) to find the P value,

                                           ( ∵ )

                                              ( ∵ )

            We change the P (Present value) into the left side,

                                            ≅ 7389.43

                                         P = $ 7389.43

Result:

           The amount of $7389.43 has to be invested at 5.9% interested continuously to have $15,000 after 12 years.  

b

step-by-step explanation:

calculate the scale factor as the ratio of corresponding sides, image to original, that is

scale factor = = = = 1