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I=PxRxT
Where:
I = the Interest Money created in dollars
P = the “Principal” starting amount of money
R = the Interest Rate per year (in decimal form)
T = the Time the money is Invested,
    or Borrowed, in Years
Interest can be calculated to be paid as
       Half-Yearly, Quarterly, Monthly, or Daily.

"T" needs to be entered as a fraction of a year, into
    I = PRT, because the Interest Rate is in units of years.

            Half Yearly    : T = 1/2
              Quarterly    : T = 1/4
                Monthly    : T = 1/12
                   Daily   : T = 1/365
Roxanna borrows $6000 to buy a car at 18.5% pa
 Simple Interest, to be paid back over 5 years.


                    I = PRT

                     I = $6 000 x 0.185 x 5

                     I = $5 550

                          Image Purchased by Passy World from Dreamstime.com
Roxanna borrows $6000 to buy a car at 18.5% pa
 Simple Interest, to be paid back over 5 years.

The Total Amount Roxanna has to repay is the
  original $6000, plus all of the $5550 Interest.

Total Amount = Principal + Interest

                =    $6000    +   $5550

                = $11 550
“How long does Keith need to invest $4000, at
  3.33% pa, to earn $800 of Interest money?"

        I = PRT     rearranges to      T=I                 (P x R)

             T = 800         (4000 x 0.0333)

              T = 6.006
              T = 6 years

                               Image Source: http://www.thelocalloancompany.com.au
“What Interest Rate do we require, to get $10 000
  of interest money generated from investing
  $20 000 for 3 years ?"

        I = PRT     rearranges to   R=I          (PxT)

        R = 10 000          (20 000 x 3)
        R = 0.166666
        R = 16.7%

                                      Image Source: http://sklepcukrzyka.pl
“Tayla borrowed money on 22% Simple Interest for 1 year to
   buy some expensive Christmas Presents.

When she paid back the Loan a year later, $440 Interest was
 charged.

What was the original Principal Amount she borrowed?"

        I = PRT     rearranges to   P=I   (R x T)

             P = 440         (0.22 x 1)

             P = $2000
                                           Image Source: http://static.guim.co.uk
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Basic Simple interest

  • 1. Image Purchased by Passy World from Dreamstime.com
  • 2. I=PxRxT Where: I = the Interest Money created in dollars P = the “Principal” starting amount of money R = the Interest Rate per year (in decimal form) T = the Time the money is Invested, or Borrowed, in Years
  • 3. Interest can be calculated to be paid as Half-Yearly, Quarterly, Monthly, or Daily. "T" needs to be entered as a fraction of a year, into I = PRT, because the Interest Rate is in units of years. Half Yearly : T = 1/2 Quarterly : T = 1/4 Monthly : T = 1/12 Daily : T = 1/365
  • 4. Roxanna borrows $6000 to buy a car at 18.5% pa Simple Interest, to be paid back over 5 years. I = PRT I = $6 000 x 0.185 x 5 I = $5 550 Image Purchased by Passy World from Dreamstime.com
  • 5. Roxanna borrows $6000 to buy a car at 18.5% pa Simple Interest, to be paid back over 5 years. The Total Amount Roxanna has to repay is the original $6000, plus all of the $5550 Interest. Total Amount = Principal + Interest = $6000 + $5550 = $11 550
  • 6. “How long does Keith need to invest $4000, at 3.33% pa, to earn $800 of Interest money?" I = PRT rearranges to T=I (P x R) T = 800 (4000 x 0.0333) T = 6.006 T = 6 years Image Source: http://www.thelocalloancompany.com.au
  • 7. “What Interest Rate do we require, to get $10 000 of interest money generated from investing $20 000 for 3 years ?" I = PRT rearranges to R=I (PxT) R = 10 000 (20 000 x 3) R = 0.166666 R = 16.7% Image Source: http://sklepcukrzyka.pl
  • 8. “Tayla borrowed money on 22% Simple Interest for 1 year to buy some expensive Christmas Presents. When she paid back the Loan a year later, $440 Interest was charged. What was the original Principal Amount she borrowed?" I = PRT rearranges to P=I (R x T) P = 440 (0.22 x 1) P = $2000 Image Source: http://static.guim.co.uk
  • 9. http://passyworldofmathematics.com/ All slides are exclusive Copyright of Passy’s World of Mathematics Visit our site for Free Mathematics PowerPoints