A man is camping on an island 1km from the nearest point on the shoreline. He wants to go to the store which is  4km down the shoreline. The man can paddle his canoe at 7km/h and he can jog at 8km/h. Find x, the horizontal distance along the shore, across from where his island is, that the man should aim to land his canoe in order to reach the store in the least time.  Find your answer as a simplified rationalized fraction in the form A/B.

A bacteria sample initially has 300 organisms. After 2 hours there are 500. Write an equation that will express the number present after t hours.

Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by the equation y = 1.3x + 9.3 where a represents the number of years since 2000, and y represents the number of falafel plates sold, in thousands. Predict the number of falafel plates the restaurant will sell in 2028. Predict the number of falafel plates the restaurant will sell in 2032.

The height of Jocelyn's rocket, in feet, as a function of time, in seconds, is modeled by the equation J(t)=-16t^2+180t. The height of Kelly's rocket, in feet, as a function of time, in seconds, is modeled by the equation K(t)=-16t^2+240t. a. Evealuate J(3)  b. Who would win a rocket launching contest by having the highest flying rocket? c. How much more time did it take for the second rocket to hit the ground? d. If we launch Kelly's rocket from a height of 12 feet how does that change Kelly's function K(t)?

The percentage of y college students in year x who work jobs while attending college can be approximated by the equation -0.34(x-1480)=19y-200.6. Find the year in which 72% of college students will work jobs while attending college.

Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation p=-0.5x^2+25x-150 models the profit of the fundraiser. What’s the smallest amount, in dollars, that you can charge and make a profit of at least $125?

Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by the equation I y = 1.4x + 8 where represents the number of years since 2010, and y represents the number of falafel plates sold, in thousands. Predict the number of falafel plates the restaurant will sell in 2031. 2851.4 Predict the number of falafel plates the restaurant will sell in 2040. 2864 □ X Submit Question X Question Help: Message instructor "X

The owners of the auditorium find that the amount of profit, p, they will make depends upon the cost per ticket, x, they charge according to the function p= 15x^2+600x+60. Find the amount the owners should charge per ticket in order to achieve maximum profit, and find this maximum profit.

A skier goes down a mountain at a rate 3 km per hour faster than it takes to go up the mountain on the chair lift. The path of the chair lift is 2 km and the path down the mountain is 2.4 km. The skier goes up and down the mountain in the same amount of time. Write and solve a rational equation to find the rate of the chair lift in kilometers per hour. What is the rate of the chair lift in km per hour? Do not include spaces, units, or commas in your response. Enter answer here. Do not include spaces or units. Next Submit answer