Assignment:
1) A ball is hit into the air. Its height, s, at time t, is given by the equation s(t)=-16t^2+74t+4. Determine the maximum height of the ball. Round to the nearest foot.
_________feet
2) Solve for x: 2^5x-4=3^7x+4
Round to the nearest 0.001.
x=________
3) The population of New York City was 8 million people in the year 2000. In 2006, the population was 8.25 million people.
The model is A=Ce^kt
Use the model to estimate the population of New York City in the year 2014, to the nearest 100,000.
___________million people
Provide complete and step by step solution for the question and show calculations and use formulas.