/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 Monique buys a \(\$ 4,700\) air ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Monique buys a \(\$ 4,700\) air conditioning system using an installment plan that requires 15\(\%\) down. How much is the down payment?

Short Answer

Expert verified
The down payment Monique has to make for the air conditioning system is USD 705.

Step by step solution

01

Identify the total cost of the air conditioning system

The total cost of the air conditioning system is given as USD 4,700.
02

Identify the percentage for the down payment

The percentage for the down payment is given as 15%.
03

Calculate the down payment

To calculate the down payment, find 15% of USD 4,700. This can be done by multiplying USD 4,700 (=total cost) by \(0.15\) (=percentage for the down payment). Using a calculator, \(4,700 * 0.15 = 705\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Installment Plans
Installment plans are financial arrangements that allow a buyer to pay for a purchase over a period of time rather than upfront in a single payment. This is especially beneficial for larger purchases, allowing buyers to better manage their cash flow. When signing up for an installment plan:
  • You typically make a down payment upfront.
  • The remaining balance is divided into a set number of payments.
  • Payments can be made weekly, biweekly, or monthly.
  • Additional fees such as interest might be applied.
The main advantage is affordability over time, but it's important to be aware of the total cost, including any interest, which could increase the overall price compared to paying outright. Understanding the terms of the installment plan is crucial, ensuring there are no hidden fees and that you can meet the payment schedule.
Down Payment Calculation
A down payment is an initial upfront partial payment you make when you purchase an item using financing. It's usually expressed as a percentage of the total price.To calculate a down payment:
  • Confirm the total price of the item. For example, an air conditioning system costs \(4,700.
  • Identify the down payment percentage. In this scenario, it's 15%.
  • Convert the percentage to a decimal by dividing by 100: \(15\% = 0.15\).
  • Multiply the total price by the decimal: \(4,700 \times 0.15 = 705\).
Thus, the down payment on this air conditioning system would be \)705. This upfront payment reduces the amount that needs to be financed, which can lower the installment payments or interest over time. Always ensure you understand how this impacts your overall financial agreement.
Percentage Problems
Percentage problems are mathematical calculations involving percentages, which express a ratio as a part of 100. They are crucial in financial literacy because they help determine proportions and understand discounts, interest rates, and financing terms. Basic steps to solve percentage problems include:
  • Identify the whole value or total amount.
  • Determine what percentage you need to calculate.
  • Convert this percentage to a decimal by dividing by 100.
  • Multiply the total amount by the decimal to find the portion or part of the whole.
For example, calculating a 15% down payment on a $4,700 item involves these steps to find that the portion of the whole (the down payment) is $705. Understanding how percentages work enhances your capability to manage various financial scenarios effectively. Problems like these can also involve reverse calculations, finding the whole when a part and a percentage are known, or comparing different percentages. Mastering this helps make informed financial decisions.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Reggie needs a quick \(x\) -dollar loan, just until his next payday in two weeks to take advantage of a sale on ski equipment. The bank would take too long in paperwork, so he goes to a pawnshop. The pawnshop will only lend him 25\(\%\) of the value of his collateral. Express algebraically the amount of collateral Reggie must use for this loan.

Jennifer did not pay her FlashCard bill in September. Her October bill showed a finance charge, and she wants to see whether or not it is correct. The average dally balance is \(\$ 970.50\) , and the APR is 28.2\(\%\) . Find the finance charge for her October statement.

Dave wants to borrow \(\$ 22,000\) from First Finance Bank. The bank will give him a 15 -year loan at an interest rate of 4.85\(\%\) . How much will he pay the bank in interest over the life of the loan? Round to the nearest hundred dollars.

Ron did not pay his credit card bill in full last month. He wants to pay it in full this month. On this month's bill, there is a mistake in the average daily balance. The credit card company lists the average daily balance on his bill as \(\$ 510.50\) . Ron computed it himself and found that it is \(\$ 410.50\) . a. The APR is 18\(\% .\) What finance charge did the credit card company compute on Ron's bill? b. If Ron's average daily balance is correct, what should the finance charge be?

Lauren did not pay her January FlashCard bill in full, so her February bill has a finance charge added on. The average daily balance is \(\$ 510.44,\) and the monthly periodic rate is 2.5\(\% .\) What should Lauren's finance charge be on her February statement?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.