The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year. create a table to show the village's population at 0, 2, 4, 6, 8, and 10 years from now. use your table to create a graph that represents the village's population growth. when the population doubles from its current size, the village will need to dig a new water well. to the nearest half of a year, about how long before it is time for the village to dig the new well?

Find parametric equations for the line. (enter your answers as a comma-separated list of equations. let x, y, and z be functions of t.) the line in the direction of the vector 5 i + 5 j − 6k and through the point (−4, 4, −2).

The krasnapolski is a top-of-the-line hotel in amsterdam, the netherlands. among their many services, they rent bicycles to guests. the bicycle checkout is open 24 hours per day 7 days per week and has 50 bicycles on hand. on average, 10 guests request a bicycle each day, arriving completely randomly at all times of the day during the spring and summer seasons. guests keep bicycles for four days on average, with a standard deviation of two days. how long does a guest on average have to wait for a bike? a. approximately 24 hours b. approximately 0.033 hours c. approximately 4 days d. approximately 47 minutes

The given diagram shows the parts of a right triangle with an altitude to the hypotenuse. using the two given  measures, find the other four.