Imagine an economy with production function Y = F(K) = and 400 units of capital. If the fraction of output invested in new capital is γ = 0.2, the depreciation rate is δ = 0.05, and the economy starts with output of 20, what does the Solow model predict will happen to output in the long run?

Jamie is hiking up a small mountain. he climbs up at a constant rate of 300 feet/hour until he reaches the peak at 1,500 feet. after that, he hikes down at the same rate to the base of the mountain. the equation that models jamie’s elevation, e, after t hours is e = . jamie’s elevation will be 600 feet after hours and after hours.

The average number of vehicles waiting in line to enter a parking lot can be modeled by the function f left parenthesis x right x squared over 2 left parenthesis 1 minus x right parenthesis endfraction , where x is a number between 0 and 1 known as the traffic intensity. find the rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities (a) xequals0.3 and (b) xequals0.6.

If f(x)= sqrt4x+9+2, which inequality can be used to find the domain of f(x)?