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Calculating Present Value and Integrals

Calculating Present Value and Integrals

Assessment

Interactive Video

Mathematics, Science

10th - 12th Grade

Practice Problem

Hard

Created by

Olivia Brooks

FREE Resource

The video tutorial explains how to find the present value of a continuous income stream using a specific formula. It covers the integration process, including the use of a TI-84 calculator for solving the problem. The tutorial provides a step-by-step guide, from understanding the formula and variables to calculating the present value, which is approximately $4,769,390. The video concludes with a summary of the process and the final result.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the duration of the continuous income stream in the problem?

20 years

25 years

15 years

10 years

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the annual interest rate used in the present value calculation?

2.0%

2.5%

3.0%

3.5%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the formula for present value, what does the variable 'K' represent?

Annual continuous interest rate

Upper limit of integration

Time in years

Revenue stream

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the expression for the income stream F(T) in the problem?

4T + 10

10 + 4T

10 - 4T

4T - 10

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which mathematical technique is required to solve one of the integrals by hand?

Partial fraction decomposition

Laplace transform

Integration by parts

Trigonometric substitution

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What variable is used instead of 'T' for convenience on the graphing calculator?

Y

W

X

Z

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What function key is used to access the exponential function on the calculator?

Second natural log

Second cosine

Second sine

Second tangent

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