i. ( A / F , i , n ) = ( A / P , i , n ) − i .

Question

Want to see more full solutions like this?

Answer 1

Question

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Students have asked these similar questions

Don't used hand raiting and don't used Ai solution

Thanks in advance!

I need help figuring this out. I'm pretty sure this is correct?If Zambia is open to international trade in oranges without any restrictions, it will import 180 tons of oranges.I can't figure these two out: 1) Suppose the Zambian government wants to reduce imports to exactly 60 tons of oranges to help domestic producers. A tariff of ???? per ton will achieve this. 2) A tariff set at this level would raise ????in revenue for the Zambian government.

Answer 2

Question

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Answer 6

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

Answer 7

Chapter 4, Problem 51P

To determine

i.

(A/F,i,n) = (A/P,i,n)−i.

Answer 8

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Answer 9

Expert Solution

Answer 10

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Given:

(A/F,i,n) = (A/P,i,n)−i.

Calculation:

The following relationship is required to be proved:

(A/F,i,n) = (A/P,i,n) − i..................(1)

Take the right-side of the equation (1) and simplify it into the left side of the equation.

Right-hand side = (A/P,i,n) − i

Right hand side = i(1+i)n(1+i)n− 1−i

Right hand side = i(1+i)n −i[(1+i)n−1](1+i)n− 1

Right hand side = i(1+i)n− 1

Right hand side = (A/F,i,n).

Conclusion:

Right hand side = Left hand side.

Answer 13

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Answer 14

To determine

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Answer 15

Expert Solution

Answer to Problem 51P

Left hand side = Right hand side.

Answer 16

Expert Solution

Answer 17

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

Given:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Calculation:

The following relationship is required to be proved:

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1)..........(2)

Right hand side = (P/A,i,n)−(P/A,i,n−1)

Right hand side = i(1+i)n(1+i)n− 1−(1+i)n−1−1i(1+i)n−1

Right hand side = i(1+i)n −1(1+i)n−(1+i)n−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−1i(1+i)n(1+i)−1

Right hand side = (1+i)−1(1+i)n−(1+i)−1−[( 1+i)n−1−1]i(1+i)n(1+i)−1

Right hand side = (1+i)n−1(1+i)−1−(1+i)n−1+1i(1+i)n(1+i)−1

Right hand side = 1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1i(1+i)n(1+i)−1−(1+i)−1i(1+i)n(1+i)−1

Right hand side = 1+i−1i(1+i)n

Right hand side = ii(1+i)n

Right hand side = 1(1+i)n

Right hand side = (1+i)−n

Right hand side = (P/F,i,n).

Conclusion:

Right hand side = Left hand side.

Answer 20

Ch. 4 - Prob. 1QTC Ch. 4 - Prob. 2QTC Ch. 4 - Prob. 3QTC Ch. 4 - Prob. 4QTC Ch. 4 - Prob. 5QTC Ch. 4 - Prob. 1P Ch. 4 - Prob. 2P Ch. 4 - Prob. 3P Ch. 4 - Prob. 4P Ch. 4 - Prob. 5P

i. ( A / F , i , n ) = ( A / P , i , n ) − i .

i. (A/F,i,n) = (A/P,i,n)−i.

Answer to Problem 51P

Explanation of Solution

ii. (P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).

Answer to Problem 51P

Explanation of Solution

Want to see more full solutions like this?

Chapter 4 Solutions

i.

(A/F,i,n) = (A/P,i,n)−i.

ii.

(P/F,i,n) = (P/A,i,n)−(P/A,i,n−1).