A scientist is analyzing the environmental impact a city over time. The citys population is increasing by 12.9% each year. There are currently 180,510 people. Write an exponential function, f(x) = a (1+r)^x, to represemt this situation.​

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

One side of a rectangle is 7 feet shorter than seven times the other side. find the length of the shorter side if we also know that the perimeter of the rectangle is 306 feet.

What is the value of x in the following equation? -3x-2=2x+8