Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Algebra II Pre AP Name___________________________ Interest, Growth and Decay Class Examples Date_________________ Period_____ Growth and Decay Continuously Compounded Interest y Cekt A Pert Compound Interest r A P 1 Appreciation Vt P 1 r t Depreciation Vt P 1 r t n nt y is the final amount, C is the initial amount, k is the constant rate per unit of time, and t represents time A is the amount of money in the account including interest earned, P is the initial investment, r is the annual interest rate, and t is the time in years A is the amount of money in the account including interest earned, P is the initial investment, r is the annual interest rate, n is the number of times the interest is compounded per year and t is the time in years Vt is the appreciated value of the item, P is the initial value of the item, r is the fixed rate of appreciation, and t is the time in years Vt is the depreciated value of the item, P is the initial value of the item, r is the fixed rate of depreciation, and t is the time in years Class Examples 1. The Krafts invest $3000 at 7.2% interest compounded continuously. Determine how long it will take their investment to be worth $10,000. 2. Determine how many years it will take a sum of money to double in value when it is invested at 8.2% interest compounded every 3 months. 3. A $175,000 home increases in value at a constant rate of 6% per year. In how many years will the house be worth $250,000? 4. A car valued at $35,000 depreciates at a constant rate of 14% per year. In how many years will the car be worth $15,000? 5. A certain strain of bacteria population decreases from 326 to 40 in 120 minutes. Find the value of k. How long does it take the bacteria to reach its half life? Class Examples (Document Camera) 1. The Krafts invest $3000 at 7.2% interest compounded continuously. Determine how long it will take their investment to be worth $10,000. 2. Determine how many years it will take a sum of money to double in value when it is invested at 8.2% interest compounded every 3 months. 3. A $175,000 home increases in value at a constant rate of 6% per year. In how many years will the house be worth $250,000? 4. A car valued at $35,000 depreciates at a constant rate of 14% per year. In how many years will the car be worth $15,000? 5. A certain strain of bacteria population decreases from 326 to 40 in 120 minutes. Find the k value. How long does it take the bacteria to reach its half life?