Problem 1MP: Matched Problem 1 What amount (to the nearest cent) will be in an account after 5 years if 100 is... Problem 2MP: Matched Problem 2 If 5,000 is invested in a Union Savings Bank 4-year CD that earns 5.61% compounded... Problem 3MP: Matched Problem 3 How long will it take an investment of 10,000 to grow to 15,000 if it is invested... Problem 4MP: Matched Problem 4 How long will it take money to triple if it is invested at 5.5% compounded... Problem 1ED: Explore and Discuss 1 You are considering three options for investing 10,000: at 7% compounded... Problem 1E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 2E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 3E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 4E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 5E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 6E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 7E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 8E: In Problems 18, solve for the variable to two decimal places. (If necessary, review Sections 1.5 and... Problem 9E: Use a calculator to evaluate A to the nearest cent in Problems 9 and 10. 9. A = 10,000e0.1t for t =... Problem 10E: Use a calculator to evaluate A to the nearest cent in Problems 9 and 10. 10. A = 10,000e0.1t for t =... Problem 11E: If 6,000 is invested at 10% compounded continuously, graph the amount in the account as a function... Problem 12E: If 4,000 is invested at 8% compounded continuously, graph the amount in the account as a function of... Problem 13E: In Problems 1320, solve for t or r to two decimal places. 13. 2 = e0.12t Problem 14E: In Problems 1320, solve for t or r to two decimal places. 14. 2 = e0.09t Problem 15E: In Problems 1320, solve for t or r to two decimal places. 15. 2 = e9r Problem 16E: In Problems 1320, solve for t or r to two decimal places. 16. 2 = e18r Problem 17E: In Problems 1320, solve for t or r to two decimal places. 17. 3 = e0.03t Problem 18E: In Problems 1320, solve for t or r to two decimal places. 18. 3 = e0.08t Problem 19E: In Problems 1320, solve for t or r to two decimal places. 19. 3 = e12r Problem 20E: In Problems 1320, solve for t or r to two decimal places. 20. 3 = e20r Problem 21E: In Problems 21 and 22, use a calculator to complete each table to five decimal places. 21. n [1 +... Problem 22E: In Problems 21 and 22, use a calculator to complete each table to five decimal places. 22. s (1 +... Problem 23E: Use a calculator and a table of values to investigate limn(1+n)1/n Do you think this limit exists?... Problem 24E: Use a calculator and a table of values to investigate lims0+(1+1s)s Do you think this limit exists?... Problem 25E: It can be shown that the number e satisfies the inequality (1+1n)ne(1+1n)n+1n1 Illustrate this... Problem 26E: It can be shown that es=limn(1+sn)n for any real number s. Illustrate this equation graphically for... Problem 27E: Continuous compound interest. Provident Bank offers a 10-year CD that earns 2.15% compounded... Problem 28E: Continuous compound interest. Provident Bank also offers a 3-year CD that earns 1.64% compounded... Problem 29E: Present value. A note will pay 20,000 at maturity 10 years from now. How much should you be willing... Problem 30E: Present value. A note will pay 50,000 at maturity 5 years from now. How much should you be willing... Problem 31E: Continuous compound interest. An investor bought stock for 20,000. Five years later, the stock was... Problem 32E: Continuous compound interest. A family paid 99,000 cash for a house. Fifteen years later, the house... Problem 33E: Present value. Solving A = Pert for P, we obtain P=Aert which is the present value of the amount A... Problem 34E: Present value. Referring to Problem 33, in how many years will the 10,000 be due in order for its... Problem 35E: Doubling time. How long will it take money to double if it is invested at 4% compounded... Problem 36E: Doubling time. How long will it take money to double if it is invested at 5% compounded... Problem 37E: Doubling rate. At what nominal rate compounded continuously must money be invested to double in 8... Problem 38E: Doubling rate. At what nominal rate compounded continuously must money be invested to double in 10... Problem 39E: Growth time. A man with 20,000 to invest decides to diversify his investments by placing 10,000 in... Problem 40E: Growth time. A woman invests 5,000 in an account that earns 8.8% compounded continuously and 7,000... Problem 41E: Doubling times. (A) Show that the doubling time t (in years) at an annual rate r compounded... Problem 42E: Doubling rates. (A) Show that the rate r that doubles an investment at continuously compounded... Problem 43E: Radioactive decay. A mathematical model for the decay of radioactive substances is given by Q=Q0ert... Problem 44E: Radioactive decay. The continuous compound rate of decay of carbon-14 per year is r = 0.000 123 8.... Problem 45E: Radioactive decay. A cesium isotope has a half-life of 30 years. What is the continuous compound... Problem 46E Problem 47E: World population. A mathematical model for world population growth over short intervals is given by... Problem 48E Problem 49E: Population growth. Some underdeveloped nations have population doubling times of 50 years. At what... Problem 50E: Population growth. Some developed nations have population doubling times of 200 years. At what... format_list_bulleted