A company is showing a 7% increase in sales (year-over-year). The sales in 2010 were $53...

 

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A company is showing a 7% increase in sales (year-over-year). The sales in 2010 were $53 million dollars. Pr1. Set up a formula for the exponential function giving sales S (in millions, S) in terms of time t (me- asured in years since 2010). Pr2. What would the sales be in 2020? Pr3. When will the sales reach $300 million? You put $700 on a saving account that pays 3% annual interest rate. Pr4. Write a formula for the balance on your account, B, as a function of time t, years after opening the account. B (t) Pr5. Find when the savings will reach $2000. www Pr6. Explain the meaning of the functional notation B(4) and find the value. Suppose a population of a city, counted in thousands, grows as 70 e05 after t years since 2010. Pr7. What is the initial value of our function and what does it mean in simple, non-mathematical, terms? Pr8. To find when the population reaches 100 (thousands) we would solve equation: 70-e5 = 100. Solve the equation using logarithms or technology. Pr9. What is the annual percentage growth rate of our city to the nearest one tenth of a percent? A company is showing a 7% increase in sales (year-over-year). The sales in 2010 were $53 million dollars. Pr1. Set up a formula for the exponential function giving sales S (in millions, S) in terms of time t (me- asured in years since 2010). Pr2. What would the sales be in 2020? Pr3. When will the sales reach $300 million? You put $700 on a saving account that pays 3% annual interest rate. Pr4. Write a formula for the balance on your account, B, as a function of time t, years after opening the account. B (t) Pr5. Find when the savings will reach $2000. www Pr6. Explain the meaning of the functional notation B(4) and find the value. Suppose a population of a city, counted in thousands, grows as 70 e05 after t years since 2010. Pr7. What is the initial value of our function and what does it mean in simple, non-mathematical, terms? Pr8. To find when the population reaches 100 (thousands) we would solve equation: 70-e5 = 100. Solve the equation using logarithms or technology. Pr9. What is the annual percentage growth rate of our city to the nearest one tenth of a percent?