At an annual effective interest rate of i, the following are all equal:
i) the present value of 10,000 at the end of 6 years
ii) the sum of the present values of 6,000 at the end of the year t and 56,000 at the end of the 2t; and
iii) 5,000 immediately
calculate the present value of a payment of 8,000 at the end of year t+3 using the same annual effective interest rate.

 PV = 1414.213562

Step-by-step explanation:

Find:

                              PV = 8,000*V^(t+3)

Solution:

- Split the the exponent of V into t and 3:

                               PV = 8,000*V^t*V^3

- We will calculate the V^t and V^3 from information given.

- The present value of 10,000 at the end of 6 years and immediate value of $5,000. De-crypt this statement we have:

                              10,000*V^6 = 5,000

                               V^6 = 5,000/10,000

                                V^6 = 0.5

                                V^3 = sqrt(0.5)

- Using 2 and 3, De-crypt:

                              6000*V^t + 56,000*V^2t = 5000

Solving the quadratic in V^t:

                               V^t = 0.25

- Hence, we have the present value as:

                                PV = 8,000*V^t*V^3

                                PV = 8,000*sqrt(0.5)*0.25

                               PV = 1414.213562

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.

14

step-by-step explanation: