appschap9 - solution in moles per liter. Find the hydrogen...

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Applications Chapter 9 Name_____________________________________ Show all work to solve and use appropriate units. Apply interest formulas where necessary. 1) Suppose that you have $5000 to invest. Which investment yields the greater return over 6 years: 6.25% compounded continuously or 6.3% compounded semiannually? 2) The regular price of a car is x dollars. Let f(x) = x - 800 and g(x) = 0.85x. Then f represents the price of the car less $800, and g represents a 15% discount on the car. Which composite function represents the greater discount on the car, f H g or g H f? Justify your answer. 3) The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by pH = - log x where x represents the concentration of the hydrogen ions in the
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Unformatted text preview: solution in moles per liter. Find the hydrogen ion concentration if the pH = 8. 4) Find out how long it takes a $3200 investment to double if it is invested at 7% compounded quarterly. Round to the nearest tenth of a year. Use the formula A = P 1 + r n nt . 5) The function A = A e-0.01386x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 600 pounds of the material are initially put into the vault, how many pounds will be left after 40 years? 6) A fossilized leaf contains 29% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. 1...
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