Simple Interest. Formula I = prt
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1 Simple Interest Formula I = prt
2 I = PRT I = interest earned (amount of money the bank pays you) P = Principal amount invested or borrowed. R = Interest Rate usually given as a percent (must changed to decimal before substituting it into formula) T = Time (must be measured in years) or converted to years by dividing by 12 months
3 I = PRT Solve for one of variables: Solving for I Substitute in numbers for P, R, & T. Then multiply Solving for other variables Substitute in what you know. Multiply the numbers that are on same side then divide by that answer.
4 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $5,000 is invested at 4.5%, what is the total simple interest accumulated in the checking account after 2 years. I P R T Substitute In!! Interest paid by bank is unknown Principal (invested) Rate changed to decimal Time is 2 years Multiply
5 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $5,000 is invested at 4.5%, what is the total simple interest accumulated in the checking account after 2 years. I = PRT Interest paid by bank is unknown Principal (invested) Rate changed to decimal Time is 2 years Multiply I= I=$450 (5,000)(.045)(2)
6 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $7,000 is invested at 7.5%, what is the total simple interest accumulated in the checking account after 3 years. I P R T Substitute In!! Interest paid by bank is unknown Principal (invested) Rate changed to decimal Time is 3 years Multiply
7 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $7,000 is invested at 7.5%, what is the total simple interest accumulated in the checking account after 3 years. I = PRT I= I=$1575 (7,000)(.075)(3) Interest paid by bank is unknown Principal (invested) Rate changed to decimal Time is 3 years Multiply
8 When invested at an annual interest rate of 6% an account earned $ of simple interest in one year. How much money was originally invested in the account? I P R T Substitute In!! Interest paid by bank Principal (invested) is unknown Rate changed to decimal Time is 1 year Multiply Divide
9 When invested at an annual interest rate of 6% an account earned $ of simple interest in one year. How much money was originally invested in account? I = PRT 180= 180 =.06P ,000 = P P (.06) (1) Interest paid by bank Principal (invested) is unknown Rate changed to decimal Time is 1 year Multiply Divide
10 When invested at an annual interest rate of 7% an account earned $ of simple interest in one year. How much money was originally invested in the account? I = P = R = T = Substitute In!! Interest paid by bank Principal (invested) is unknown Rate changed to decimal Time is 1 year Multiply Divide
11 When invested at an annual interest rate of 7% an account earned $ of simple interest in one year. How much money was originally invested in the account? I = PRT 581= 581 =.07P $8,300 =P P (.07) (1) Interest paid by bank Principal (invested) is unknown Rate changed to decimal Time is 1 year Multiply Divide
12 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $7,000 accumulate $910 of interest in the account after 2 years, what was the annual simple interest rate on the savings account? I P R T Plug it In!! Interest paid by bank Principal (invested) Rate is unknown Time is 2 years Regroup & Multiply Divide Change to %
13 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $7,000 accumulate $910 of interest in the account after 2 years, what was the annual simple interest rate on the savings account? I = PRT 910= 910 = (7,000)(2)R 910 = 14,000 R 14,000 14, = R 6.5% = R (7,000)(R)(2) Interest paid by bank Principal (invested) Rate is unknown Time is 2 years Regroup & Multiply Divide Change to %
14 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $2,000 accumulate $360 of interest in the account after 4 years, what was the annual simple interest rate on the savings account? I P R T Plug it In!! Interest paid by bank Principal (invested) Rate is unknown Time is 4 years Regroup & Multiply Divide Change to %
15 A savings account is set up so that the simple interest earned on the investment is moved into a separate account at the end of each year. If an investment of $2,000 accumulate $360 of interest in the account after 4 years, what was the annual simple interest rate on the savings account? I = PRT 360= 360 = (2,000)(4)R 360 = 8,000 R 8,000 8, = R 4.5% = R (2,000)(R)(4) Interest paid by bank Principal (invested) Rate is unknown Time is 4 years Regroup & Multiply Divide Change to %
16 Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest. What rate of interest did the certificate pay? I P R T Plug It In!!
17 Sylvia bought a 6-month $1900 certificate of deposit. At the end of 6 months, she received a $209 simple interest. What rate of interest did the certificate pay? I=PRT 209= 1900(R)(6/12) 209=(1900)(6/12)R 209=950R = R 22% = R Interest paid by bank Principal (invested) Rate is unknown Time is 6 months (divide by 12) Regroup & Multiply Divide Change to %
18 An investment earns 4.5% simple interest in one year. If the money is withdrawn before the year is up, the interest is prorated so that a proportional amount of the interest is paid out. If $2400 is invested, what is the total amount that can be withdrawn when the account is closed out after 2 months? Plug it In!! I P R T
19 An investment earns 4.5% simple interest in one year. If the money is withdrawn before the year is up, the interest is prorated so that a proportional amount of the interest is paid out. If $2400 is invested, what is the total amount that can be withdrawn when the account is closed out after 2 months? I=PRT I=(2400)(.045)(2/12) I=$18 $18 + $2400 = $2418 $2418 will be withdrawn Interest paid by bank - Unknown Principal (invested) Rate is.045 Time is 2 months (divide by 12) Multiply Now, since the money is being withdrawn, add the interest to the principal.
20 Compound Interest A = Accrued Amount (Principal + Interest) P = Principal r = Rate t = Time (in years)
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CHAPTER 6 Eponential Functions 6.1 EXPLORING THE CHARACTERISTICS OF EXPONENTIAL FUNCTIONS Chapter 6 EXPONENTIAL FUNCTIONS An eponential function is a function that has an in the eponent. Standard form:
Introduction. Once you have completed this chapter, you should be able to do the following:
Introduction This chapter continues the discussion on the time value of money. In this chapter, you will learn how inflation impacts your investments; you will also learn how to calculate real returns