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PreCalculus NYOS Charter School Quarter 4 "In mathematics, you don't understand things. You just get used to them.&

PreCalculus NYOS Charter School Quarter 4 "In mathematics, you don't understand things. You just get used to them." ~ Johann von Neumann. Exponential Functions. Exponential Functions. An exponential function is of the form where b is a positive real number and the exponent is a variable.

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PreCalculus NYOS Charter School Quarter 4 "In mathematics, you don't understand things. You just get used to them.&

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  1. PreCalculusNYOS Charter SchoolQuarter 4"In mathematics, you don't understand things. You just get used to them." ~Johann von Neumann Exponential Functions

  2. Exponential Functions • An exponential function is of the form where b is a positive real number and the exponent is a variable.

  3. Exponential Functions • Graph the following on a calculator or by hand. • Sketch each graph on the grids provided. • Label!

  4. Exponential Functions

  5. Exponential Functions

  6. Exponential Functions

  7. Exponential Functions

  8. Exponential Functions

  9. Exponential Functions

  10. Exponential Functions • Compound Interest is when interest is figured and paid out at certain intervals. A is the ending account balance P is the principal r is the annual rate tis the number of years nis the number of compoundings per year

  11. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 5% compounded daily if Tommy invested $2,000 and left it for 7 years.

  12. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 5% compounded daily if Tommy invested $2,000 and left it for 7 years. A = $2,838.06

  13. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 8% compounded monthly if Paige invested $5,000 and left it for 5 years.

  14. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 8% compounded monthly if Paige invested $5,000 and left it for 5 years. A = $7,449.23

  15. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 12% compounded monthly if Colt invested $5,000 and left it for 35 years.

  16. Exponential Functions Example: Determine the amount of money in an account with an annual rate of 12% compounded monthly if Colt invested $5,000 and left it for 35 years. A = $326,547.97

  17. Mortgage Payments FORMULA FOR FINDING THE MONTHLY MORTGAGE PAYMENT R is the monthly rate N is the number of months P is the loan principal

  18. Savings FORMULA FOR FINDING THE FUTURE VALUE OF AN ACCOUNT WITH REGULAR PAYMENTS FV = Where R is the monthly rate as a decimal, N is the number of months (total), and PMTis the amount of the payment.

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