A cellular phone company offers several different service op…

A cellular phone company offers several different service options. One option, for people who plan on using the phone only in emergencies, costs the user $4.20/month plus $0.57/min for each minute the phone is used. Write a linear function for the monthly cost y of the phone in terms of the number of minutes x the phone is used. [a] Use the function to find the cost of using the cellular phone for 11 minutes in 1 month. [b]

Use the compound interest formula A = P(1 + r/n)nt, where P…

Use the compound interest formula A = P(1 + r/n)nt, where P is the amount deposited, A is the value of the money after t years, r is the annual interest rate as a decimal, and n is the number of compounding periods per year. A computer network specialist deposits $2500 into a retirement account that earns 7.5% annual interest, compounded daily. What is the value of the investment after 20 years? (Round your answer to two decimal places.) Answer: _______

Kahlil is installing a playground set in his backyard for hi…

Kahlil is installing a playground set in his backyard for his children. He wants to put rubber playground mulch underneath it to provide cushioning and safety.  If the box that will hold the mulch measures 15 feet long, 8 feet wide, and 12 inches deep, how much mulch does Kahlil need to fill it to the top? Label your answer with the correct units. [a] Kahlil discovers that the mulch is only sold in bags containing 2 cubic feet. How many bags of mulch should he order? [b]

Consider the following graph: Is the function shown on the…

Consider the following graph: Is the function shown on the graph linear or exponential? Explain your reasoning. [a] Where is the y-intercept? Write your answer as an ordered pair. [b] Describe what the y-intercept means in the CONTEXT of this problem. [c] Find the slope of the line. Write your answer as a fraction in lowest terms. [d] Describe what the slope means using the real-life situation in this problem. [e] Write the equation of the line shown in the graph. [f]

From 1880 to 1960, the population of North American red foxe…

From 1880 to 1960, the population of North American red foxes declined exponentially from 300,000 to 300. The half-life of the population was 8 years, meaning that after 8 years half of the population of foxes remained. If there were 300,000 foxes in 1880, would there be more or less than 150,000 foxes in 1890? Write 1-2 sentences to explain your reasoning. [a] According to this exponential model, how many foxes were there in 1904? Show your work. Be sure to show your units. [b] If the red fox did not have the protection of the Endangered Species Act, could the population have reached zero according to this model? Explain your answer in 1-2 sentences. [c]