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Write the decimal as a percent. 1. 0.06 2. 0.125 Lesson 7.7, For use with pages 375

7.7 simple interest

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  • 1. Write the decimal as a percent. 1. 0.06 2. 0.125 Lesson 7.7 , For use with pages 375-380
  • 2. Write the decimal as a percent. 1. 0.06 2. 0.125 Lesson 7.7 , For use with pages 375-380 ANSWER 6% ANSWER 12.5%
  • 3. Simple Interest
  • 4. Essential Questions
    • What are different situations percents are used in real life?
    • As a consumer, why is it important for you to know about percents?
    • How important is it to be able to understand the relationship between fractions and percents? Why?
  • 5.
    • Today we are going to discuss interest in relationship to money. Do any of you know what interest is?
    • Do any of you have a savings account?
  • 6.
    • Interest:
      • The amount of money paid for the use of money
      • This can be both a good thing and a bad thing. Why? Can you explain the difference?
  • 7. Simple Interest
    • To calculate interest you must know three more words:
    • Principal = the amount of money invested or borrowed
    • Rate = the interest rate the percent - like 7 % (must change to a decimal before multiplying)
    • Time = the length of the investment or loan (in years or months depending on the rate)
  • 8.
    • To calculate simple interest we use a formula that looks like this I = PRT Interest = principal x rate x time
    • The one thing to remember is that you cant multiply by a percent. It must be changed to a decimal (or fraction) before you multiply.
  • 9.
    • The other thing you must watch for is that the rate (annual or monthly) must MATCH the time (annual or monthly)
    • In other words, if the rate is given in years, the time must be in years.
    • If the rate is given in months, the time must be given in months.
  • 10.
    • Suppose you want to buy your first used car. You are working and know you can make payments. Should you save more or just go get a loan?
    • Lets see: the bank will loan you up to $7000 at the rate of 9% annual interest for a period of 4 years. How much interest will you pay in 4 years? What is the real cost of the car after 4 years?????
  • 11.
    • I = PRT
    • I = (7000)(0.09)(4)
    • I = $2520 interest that you paid on this car.
    • So the car really cost you $7000 + 2520 for a total of $9520.
    • Is the car worth that after 4 years of payments?
  • 12. EXAMPLE 3 Finding Simple Interest I = Prt Write formula for simple interest. = (500)(0.025)(1.5) Substitute values. 18 months = 1.5 years. =18.75 Multiply. You deposit $500 in a savings account that pays a simple interest rate of 2.5% per year. How much interest will you earn after 18 months? Savings You will earn $18.75 in interest. ANSWER
  • 13. EXAMPLE 1 GUIDED PRACTICE for Examples 2 and 3 I = Prt Write formula for simple interest. = (500)(0.035)(2) Substitute values. 24 months = 2 years. =35 Multiply. You deposit $500 in a savings account that pays a simple interest rate at 3.5% per year. How much interest will you earn after 24 months? You will earn $35 in interest. ANSWER
  • 14.
    • Loan: $10,000
    • Rate: 8 % annually Time: 9 months
    • Find the interest
    • Find the total amount paid for the loan.
  • 15.
    • Classzone.com animation
    • Go to Chapter 7 Simple interest
  • 16.
    • Assignment: Worksheet over simple interest