Exponential Decay Models When a real life quantity decreases by a fixed percent each year ( or other time period), the amount y of the quantity after t years can be modeled by the equation y=a(1-1)' Where a= initial amount r= percent decrease expressed as a decimal 1 - r = the growth factor 1 1. A new car costs $24000. The value of the car decreases by 12% each year. a.) Write an exponential decay model giving the cars value y (in dollars) after t years. b. ) What will the car be worth in 10 years? muroqmoo ai 12.) You buy a new stereo that costs $800. The value of the stereo decreases by 14% each year. a.) Write a model giving the stereos value y ( in dollars) after t years. b.) Estimate the value of the stereo in 5 years..Simplify the expression 1 . e . e - 12 2. 15e 3. ( 6e- 2x )2 302 Simplify using a calculator 4. e3 5 . e- 0.3 6. e213 Simplify each expression 7. ez. e-7 8. 4e-3. 5et 4210 9. 24es Seway Of at drow Continuously Compounded Interest When interest is compounded continuously, the amount A in an account after t years is given by the formula: A = Pe" Where P is the principal and r is the annual interest rate expressed as a decimal. 10. You deposit $10000 in an account that pays 8.5% annual interest compounded continuously. Find the balance after each amount of time: a.) 2 years (antlob mi ) b.) 5 years