The rate of change of the number of mountain lions N(t) in a population is directly proportional to 725 - N(t), where t is the time in years. When t = 0, the population is 400. When t = 3, the population is 650. Find the population when t = 5. Round your answer to the nearest 50 mountain lions. a. Write the implied differential equation. b. Solve the equation to find the general solution. c. Use the given information to find a particular solution. d. Use the particular solution to answer the question.

On new year's day, the average temperature of a city is 5.7 degrees celsius. but for new year's day 2012, the temperature was 9.8 degrees below the average. i) if a represents the average temperature on new year's day and 7 represents the temperature on new year's day 2012, what formula accurately relates the two values together? ii) what was the temperature on new year's day 2012? dt a 0.8 ii) - 4 1 degrees celsius da-t-98 ii) 59 degrees celsius 1) 7 = -9,8 11) 59 degrees celsius ii) l degrees celsius

You got a job selling magazines door-to-door. you are paid $100 per day plus $1.50 for each magazine you sell. which recursive formula models this situation?

Anewly planted tree needs to b stacked witg three wires.each wire is attached to the trunk 3ft abouve the ground and anchored to the ground 4ft fromthe base of the three