The population of deer in a forest is currently 800 individuals. Scientists predict that this population will grow at a rate of 20 percent per year. Based on this prediction, about how many years will it take for the population to double in size? Use the equation , in which represents the initial population size, r represents the growth rate, t represents the number of years, and P represents the final population size.

Which of the following values are in the range of the function graphed below? check all that apply ! - will give the answer "brainliest! "

1. an economy consists of three workers: larry, moe, and curly. each works 10 hours a day and can produce two services: mowing lawns and washing cars. in an hour, larry can either mow one lawn or wash one car; moe can either mow one lawn or wash two cars; and curly can either mow two lawns or wash one car. a. calculate how much of each service is produced under the following circumstances: a. all three spend all their time mowing lawns. b. all three spend all their time washing cars. c. all three spend half their time on each activity d. larry spends half of his time on each activity, while moe only washes cars and curly only mows lawns b. using your answers to part a, draw a production possibilities frontier and label points a, b, c, and d on your graph. explain why the production possibilities frontier has the shape it does. c. are any of the allocations calculated in part a inefficient? explain.

Interpret the following expression (5y^2-7)^3/(2y)^2