1. Find the time required for an investment of 5000 dollars to grow to 8600 dollars at an interest rate of 7.5% per year, compounded quarterly. Round to the nearest year.
2. A city's population is currently 15,000 and is growing by 1.7% each year. If this continues, in how many years will the town's population reach 45,000?
3. The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)=1.8208e0.3387xf(x)=1.8208e0.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $9.2 billion?
4. How long does it take an investment of $9,200.00 to grow to $16,000.00 if it is invested at an annual rate of 6.6%, compounded 3 times per year? Round your answer to two decimal places at the END of your calculations.
5. $20,000.00 is invested at an annual rate of 10.1%, compounded continuously. How long will it take for that investment to grow to a value of 112,600.00? Round your answer (in years) to two decimal places at the END of your calculations.