Skip to main content

Math Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)

Tax Preparation Loan Many tax preparation organizations will prepay customers’ tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of $39.95. What annual simple interest rate, to the nearest hundredth of a percent, is Joy paying for this loan assuming a. the tax refund check would be available in 5 days? b. the tax refund check would be available in 10 days? c. the tax refund check would be available in 20 days?

Tax Preparation Loan Many tax preparation organizations will prepay customers’ tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of $39.95. What annual simple interest rate, to the nearest hundredth of a percent, is Joy paying for this loan assuming a. the tax refund check would be available in 5 days? b. the tax refund check would be available in 10 days? c. the tax refund check would be available in 20 days?

Solution Summary: The author explains the simple interest rate, which is r=409.01%, and the time t=5360year.

Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)

Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)

10th Edition

ISBN: 9780134112237

Author: Allen R. Angel, Christine D. Abbott, Dennis Runde

Publisher: PEARSON

See similar textbooks

Videos

Textbook Question

Chapter 10.2, Problem 57E

Tax Preparation Loan Many tax preparation organizations will prepay customers’ tax refunds if they pay a one-time finance charge. In essence, the customer is borrowing the money (the refund minus the finance charge) from the tax preparer, prepaying the interest (as in a discount note), and then repaying the loan with the tax refund. This procedure allows customers access to their tax refund money without having to wait. Joy had a tax refund of $743.21 due. She was able to get her tax refund immediately by paying a finance charge of $39.95. What annual simple interest rate, to the nearest hundredth of a percent, is Joy paying for this loan assuming

a. the tax refund check would be available in 5 days?
b. the tax refund check would be available in 10 days?
c. the tax refund check would be available in 20 days?

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

Blurred answer

Chapter 10.2, Problem 56E

Chapter 10.2, Problem 58E

Students have asked these similar questions

An alligator has a body length of six and 5 tenths feet and a tail length of seven and one fourth feet. How long is the alligator

1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.

If AB = 10 and AC = 13, what is AD? B A D C Write your answer as a whole number or as a decimal rounded to the nearest hundredth.

Chapter 10 Solutions

Survey of Mathematics with Applications, A, a la Carte edition plus NEW MyLab Math with Pearson eText (10th Edition)

Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Prob. 4E Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....Ch. 10.1 - In Exercises 7-14, change the number to a percent....

Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - Practice the Skills In Exercises 7-14, change the...Ch. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 16E Ch. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 18E Ch. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 20E Ch. 10.1 - In Exercises 15-22, change the number given as a...Ch. 10.1 - Prob. 22E Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - For Exercises 23-26, where appropriate, round...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - DVD Collection In Exercises 27-30, use the circle...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Seawater Composition In Exercises 31-34, use the...Ch. 10.1 - Prob. 34E Ch. 10.1 - Music Preferences In Exercises 35-38, use the...Ch. 10.1 - Prob. 36E Ch. 10.1 - Music Preferences In Exercises 35-38, use the...Ch. 10.1 - Prob. 38E Ch. 10.1 - Russian Population The population of Russia has...Ch. 10.1 - U.S. Population Unlike the population of Russia...Ch. 10.1 - U.S. Land Area The graph at the top of the next...Ch. 10.1 - Presidential Salary The following graph shows the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 44E Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 48E Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 50E Ch. 10.1 - In Exercises 43-54, determine the answer to the...Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Tax and Tip According to the Original Tipping...Ch. 10.1 - Tax and Tip The Brants dinner (see Exercise 55)...Ch. 10.1 - Percentage of As In a mathematics class, eighteen...Ch. 10.1 - Employee Increase The Fastlock Company hired 57...Ch. 10.1 - Salary Increase Mr. Browns present salary is...Ch. 10.1 - Prob. 60E Ch. 10.1 - Vacuum Cleaner Sales A Kirby vacuum cleaner...Ch. 10.1 - Prob. 62E Ch. 10.1 - Television Sale The regular price of a Phillips...Ch. 10.1 - Weight Loss On January 1, Juan weighed 235 pounds...Ch. 10.1 - Soccer Ball Markup The cost of a soccer ball to...Ch. 10.1 - Prob. 66E Ch. 10.1 - Reselling a Car Quincy purchased a used car for...Ch. 10.1 - Prob. 68E Ch. 10.1 - Challenge Problems/Group Activities 69. Comparing...Ch. 10.1 - Prob. 70E Ch. 10.1 - Prob. 71E Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 1- 8, fill in the blanks with an...Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - In Exercises 9-18, determine the simple interest....Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Practice the Skills In Exercises 9-18, determine...Ch. 10.2 - Prob. 18E Ch. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 20E Ch. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 22E Ch. 10.2 - In Exercises 19-24, use the simple interest...Ch. 10.2 - Prob. 24E Ch. 10.2 - Small Business Administration Loan Joshua uses the...Ch. 10.2 - Problem Solving In Exercises 25-32, if necessary...Ch. 10.2 - Bank Personal Note Karen borrowed 3500 from a bank...Ch. 10.2 - Prob. 28E Ch. 10.2 - Problem Solving In Exercises 25-32, if necessary...Ch. 10.2 - Prob. 30E Ch. 10.2 - Pawning a Bicycle Elisa needs money to repair her...Ch. 10.2 - Prob. 32E Ch. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 34E Ch. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 36E Ch. 10.2 - In Exercises 33-38, determine the exact time from...Ch. 10.2 - Prob. 38E Ch. 10.2 - In Exercises 39-42, determine the due date of the...Ch. 10.2 - Prob. 40E Ch. 10.2 - In Exercises 39-42, determine the due date of the...Ch. 10.2 - Prob. 42E Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - Prob. 44E Ch. 10.2 - Prob. 45E Ch. 10.2 - Prob. 46E Ch. 10.2 - Prob. 47E Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - In Exercises 43-52, a partial payment is made on...Ch. 10.2 - Company Loan On March 1, the Zwick Balloon Company...Ch. 10.2 - Flag Company Loan On April 3, the Meats Flag...Ch. 10.2 - Challenge Problems/Group Activities 55. U.S....Ch. 10.2 - Challenge Problems/Group Activities 56. U.S....Ch. 10.2 - Tax Preparation Loan Many tax preparation...Ch. 10.2 - Prime Interest Rate Nick borrowed 600 for 3...Ch. 10.2 - Bankers Rule The Bankers rule considers a year to...Ch. 10.2 - Columbus Investment On August 3, 1492, Christopher...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Prob. 4E Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Warm Up Exercises In Exercises 1-6, fill in the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Prob. 8E Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Practice the Skills In Exercises 7-14, use the...Ch. 10.3 - Prob. 14E Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - In Exercises 15-18, use the present value formula...Ch. 10.3 - Inheritance Marcus receives an inheritance of...Ch. 10.3 - Contest Winnings Mary wins 2500 in a singing...Ch. 10.3 - Class Trip To help pay for a class trip at the end...Ch. 10.3 - Investing Prize Winnings Marcella wins third prize...Ch. 10.3 - House Down Payment Karen invested 10,000 in a...Ch. 10.3 - Investing a Signing Bonus Joe just started a new...Ch. 10.3 - Personal Loan Brent borrowed 3000 from his brother...Ch. 10.3 - Prob. 26E Ch. 10.3 - Investing Gifts and Scholarships Cliff just...Ch. 10.3 - Prob. 28E Ch. 10.3 - Determining Effective Annual Yield Determine the...Ch. 10.3 - Prob. 30E Ch. 10.3 - Money Market Choice Prospero Bank advertises a...Ch. 10.3 - Prob. 32E Ch. 10.3 - Verifying APY Suppose you saw a sign at your local...Ch. 10.3 - Prob. 34E Ch. 10.3 - Saving for a Tractor Jim wants to invest some...Ch. 10.3 - Prob. 36E Ch. 10.3 - A New Car Adam wishes to have 20,000 available in...Ch. 10.3 - Prob. 38E Ch. 10.3 - A New Water Tower The village of Kieler recently...Ch. 10.3 - Prob. 40E Ch. 10.3 - Doubling the Rate Determine the total amount and...Ch. 10.3 - Prob. 42E Ch. 10.3 - Interest Comparison You are given a choice of...Ch. 10.3 - Prob. 44E Ch. 10.3 - Determining the Interest Rate For a total...Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 47E Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 1-6, fill in the blanks with an...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - In Exercises 7-10, determine the monthly payment...Ch. 10.4 - Business Loan Brenda is a beautician who is...Ch. 10.4 - A New Air Conditioner Juan paid 7000 for a new...Ch. 10.4 - Financing a New Roof Jaime needs a new roof on her...Ch. 10.4 - Financing a Computer llga purchased a new computer...Ch. 10.4 - Boat Loan Keenan is purchasing a new boat that...Ch. 10.4 - Financing Furniture Mr. and Mrs. Chan want to buy...Ch. 10.4 - Early Repayment of a Loan Ray took out a 60-month...Ch. 10.4 - Early Repayment of a Loan Jeslie Ann has a...Ch. 10.4 - Early Repayment of a Loan Nina buys a new sport...Ch. 10.4 - Early Repayment of a Loan Jeff buys a new...Ch. 10.4 - Credit Card Minimum Monthly Payment Shiings credit...Ch. 10.4 - Credit Card Minimum Monthly Payment Evelyns credit...Ch. 10.4 - Business Expenses Kevins credit card company...Ch. 10.4 - Prob. 24E Ch. 10.4 - Previous Balance Method On the November 4 billing...Ch. 10.4 - Previous Balance Method On September 5, the...Ch. 10.4 - Previous Balance Method On February 3, the billing...Ch. 10.4 - Prob. 28E Ch. 10.4 - Average Daily Balance Method The balance on the...Ch. 10.4 - Prob. 30E Ch. 10.4 - Average Daily Balance Method Refer to Exercise 27....Ch. 10.4 - Prob. 32E Ch. 10.4 - A Cash Advance John borrowed 875 against his...Ch. 10.4 - Prob. 34E Ch. 10.4 - Comparing Loan Sources Grisha needs to borrow 1000...Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Repayment Comparisons Christine took a world...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - Prob. 4E Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 1-6, fill in the blanks with an...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - In Exercises 7-10, determine the monthly principal...Ch. 10.5 - Buying a House Anna is buying a house selling for...Ch. 10.5 - Buying a Condominium Toni is buying a condominium...Ch. 10.5 - Buying a Brownstone Townhouse Felix is purchasing...Ch. 10.5 - Buying a First House The Firszts are purchasing...Ch. 10.5 - Paying Points Martha is buying a house selling for...Ch. 10.5 - Prob. 16E Ch. 10.5 - Qualifying for a Mortgage The Guenthers gross...Ch. 10.5 - Prob. 18E Ch. 10.5 - A 30-Year Conventional Mortgage Ingrid obtains a...Ch. 10.5 - A 25-Year Conventional Mortgage The Bells obtain a...Ch. 10.5 - Evaluating a Loan Request The Nejems found a house...Ch. 10.5 - Evaluating a Loan Request Kathy wants to buy a...Ch. 10.5 - Comparing Loans The Riveras are negotiating with...Ch. 10.5 - Prob. 24E Ch. 10.5 - An Adjustable Rate Mortgage The Bhatts purchased a...Ch. 10.5 - Prob. 26E Ch. 10.5 - Prob. 27E Ch. 10.5 - Comparing Payment Frequency Janet is purchasing a...Ch. 10.5 - Prob. 29E Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 1-8, fill in the blanks with an...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 9-12, use the ordinary annuity...Ch. 10.6 - In Exercises 13-16, use the sinking fund formula...Ch. 10.6 - Prob. 14E Ch. 10.6 - In Exercises 13-16, use the sinking fund formula...Ch. 10.6 - Prob. 16E Ch. 10.6 - In Exercises 1720, round all answers to the...Ch. 10.6 - Prob. 18E Ch. 10.6 - In Exercises 1720, round all answers to the...Ch. 10.6 - Prob. 20E Ch. 10.6 - In Exercises 2124, round all answers up to the...Ch. 10.6 - Prob. 22E Ch. 10.6 - In Exercises 2124, round all answers up to the...Ch. 10.6 - Prob. 24E Ch. 10.6 - Dont Wait to Invest The purpose of this exercise...Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - In Exercises 16, change the number to a percent....Ch. 10 - Prob. 6RE Ch. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - Prob. 8RE Ch. 10 - Prob. 9RE Ch. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - In Exercises 712, change the percent to a decimal...Ch. 10 - Prob. 12RE Ch. 10 - Salary Increase Charlotte had a salary of 41,500...Ch. 10 - Calorie Decrease Until he began his new wellness...Ch. 10 - Prob. 15RE Ch. 10 - In Exercises 1517, solve for the unknown quantity....Ch. 10 - Prob. 17RE Ch. 10 - Prob. 18RE Ch. 10 - Increased Membership If the number of people in...Ch. 10 - Jelly Beans A jar contains 1050 jelly beans. Of...Ch. 10 - In Exercises 2124, determine the missing quantity...Ch. 10 - In Exercises 2124, determine the missing quantity...Ch. 10 - In Exercises 2124, determine the missing quantity...Ch. 10 - In Exercises 2124, determine the missing quantity...Ch. 10 - Wedding Loan To pay for his daughters wedding,...Ch. 10 - Bank Loan Nikos borrowed 6000 for 24 months from...Ch. 10 - Bakery Loan On April 1, The Red Velvet Bakery...Ch. 10 - Garage Loan On May 15, The Underground Repair...Ch. 10 - Comparing Compounding Periods Determine the amount...Ch. 10 - Prob. 30RE Ch. 10 - Effective Annual Yield Determine the effective...Ch. 10 - Prob. 32RE Ch. 10 - Prob. 33RE Ch. 10 - Office Equipment Loan Sadie is starting a...Ch. 10 - Prob. 35RE Ch. 10 - Prob. 36RE Ch. 10 - Prob. 37RE Ch. 10 - Prob. 38RE Ch. 10 - Prob. 39RE Ch. 10 - Prob. 40RE Ch. 10 - Thirty-Year Mortgage James purchased a home...Ch. 10 - Prob. 42RE Ch. 10 - Prob. 43RE Ch. 10 - Prob. 44RE Ch. 10 - Prob. 1T Ch. 10 - Prob. 2T Ch. 10 - Prob. 3T Ch. 10 - Prob. 4T Ch. 10 - Prob. 5T Ch. 10 - Prob. 6T Ch. 10 - Prob. 7T Ch. 10 - Prob. 8T Ch. 10 - Prob. 9T Ch. 10 - Prob. 10T Ch. 10 - Previous Balance Method Michaels credit card...Ch. 10 - Prob. 12T Ch. 10 - Building a House In Exercises 1218, the Leungs...Ch. 10 - Building a House In Exercises 1218, the Leungs...Ch. 10 - Building a House In Exercises 1218, the Leungs...Ch. 10 - Prob. 16T Ch. 10 - Prob. 17T Ch. 10 - Prob. 18T Ch. 10 - Prob. 19T Ch. 10 - Prob. 20T

Knowledge Booster

Background pattern image

Math

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

Similar questions

SEE MORE QUESTIONS

Recommended textbooks for you

Intermediate Algebra
Algebra
ISBN:9780998625720
Author:Lynn Marecek
Publisher:OpenStax College

Text book image

Intermediate Algebra

Algebra

ISBN:9780998625720

Author:Lynn Marecek

Publisher:OpenStax College

SEE MORE TEXTBOOKS

Solve ANY Optimization Problem in 5 Steps w/ Examples. What are they and How do you solve them?; Author: Ace Tutors;https://www.youtube.com/watch?v=BfOSKc_sncg;License: Standard YouTube License, CC-BY

Types of solution in LPP|Basic|Multiple solution|Unbounded|Infeasible|GTU|Special case of LP problem; Author: Mechanical Engineering Management;https://www.youtube.com/watch?v=F-D2WICq8Sk;License: Standard YouTube License, CC-BY

Optimization Problems in Calculus; Author: Professor Dave Explains;https://www.youtube.com/watch?v=q1U6AmIa_uQ;License: Standard YouTube License, CC-BY

Introduction to Optimization; Author: Math with Dr. Claire;https://www.youtube.com/watch?v=YLzgYm2tN8E;License: Standard YouTube License, CC-BY