Chapter 9, Problem 28RE

An investment appreciates 2% per year. Originally $5000 is invested. What is an equation for the years since the money is invested as a function of the investment's worth? Ot = log(F/5000)/log(0.02 t = log(F/5000)/log(1.02) Ot = log(F/5000)/log(0.98) t = log(F/5000)/log(-1.02)

Newton's Law of Cooling states that the temperature of a heated object decreases exponentially over time toward the temperature of the surrounding medium. Suppose that a pizza is removed from a 600°F oven and placed in a room whose temperature is 60°F. The temperature u (in °F) of the pizza at time t (in minutes) can be modeled by u(t)=60+540g-0.073t (a) According to the model, when will the temperature of the pizza be 500°F? (b) According to the model, when will the temperature of the pizza be 310°F? (a) t= minutes (Do not round until the final answer. Then round to the nearest minute as needed.) w an example Textbook Clear all

The population of a city can be modeled by P(t) = 12e00 thousand persons, where t is the number of years after 2000. Approximately how rapidly will the city's population be changing in 2029? The population will be changing by your answer rounded to at least three decimal places) thousand persons/year. (Enter