1. Fill in the following table. You may use either form (A=ab' or A= ae) for...
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1. Fill in the following table. You may use either form (A=ab' or A= ae") for the representing function. Fill in ALL 12 cells. Use 2 decimal places as needed. Function Aab' or A = ae" ANNUAL Rate CONTINUOUS Rate A-intercept Growth or Decay? of Growth or Decay of Growth or Decay (0, 100) Decay -7.8% continuous rate A = 3000 (.8)' A=40e 0.8t (0, 150) Growth 15.5% annual rate 2. Nanny Stella wants to start a college account for her newborn grandson. How much money does she need to deposit now into an account earning 3% compounded quarterly so that it will be worth $20,000 in 21 years? Answer: 3. Nanny Stella wants to start a college account for her newborn grandson. How much money does she need to deposit now into an account earning 3% compounded monthly so that it will be worth $20,000 in 21 years? Answer: 4. The half-life of some radioactive isotope is 11 months. If a scientist has a 350mg sample of that isoptope, how much will remain after 2 years? Answer: 5. There were about 1.23 million Hispanic-owned businesses in 1995 and 1.84 million in 2000. If the number of Hispanic- owned businesses continues to increase exponentially at the same rate, find the doubling time. Hint: Lett 0 in 1995. Answer: 1. Fill in the following table. You may use either form (A=ab' or A= ae") for the representing function. Fill in ALL 12 cells. Use 2 decimal places as needed. Function Aab' or A = ae" ANNUAL Rate CONTINUOUS Rate A-intercept Growth or Decay? of Growth or Decay of Growth or Decay (0, 100) Decay -7.8% continuous rate A = 3000 (.8)' A=40e 0.8t (0, 150) Growth 15.5% annual rate 2. Nanny Stella wants to start a college account for her newborn grandson. How much money does she need to deposit now into an account earning 3% compounded quarterly so that it will be worth $20,000 in 21 years? Answer: 3. Nanny Stella wants to start a college account for her newborn grandson. How much money does she need to deposit now into an account earning 3% compounded monthly so that it will be worth $20,000 in 21 years? Answer: 4. The half-life of some radioactive isotope is 11 months. If a scientist has a 350mg sample of that isoptope, how much will remain after 2 years? Answer: 5. There were about 1.23 million Hispanic-owned businesses in 1995 and 1.84 million in 2000. If the number of Hispanic- owned businesses continues to increase exponentially at the same rate, find the doubling time. Hint: Lett 0 in 1995. Answer:
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