The Pentagon is planning to build a new, spherical satellite. As is typical in these cases, the specifications keep changing, so that the size of the satellite keeps growing. In fact, the radius of the planned satellite is growing 0.4 feet per week. Its cost will be $1,100 per cubic foot. At the point when the plans call for a satellite 10 feet in radius, how fast is the cost growing

$553300

Step-by-step explanation:

Let the rate of increase of radius with respect to time be dr / dt. Hence:

dr / dt = 0.4  ft/week

The cost of increasing the radius is  $1,100 per cubic foot. We can calculate how fast the cost is growing by determining the rate at which the volume increases with time (dV / dt).

The volume (V) of a spherical object is given by:

Therefore, the cost of increasing volume = 503 feet³/week * $1100 / feet³ = $553300

step-by-step explanation:

from the graph attached below:

domain of graph is the value of x for which the given function profit function p(x) is defined.

(a) the domain represents the number of years for which the outlet will earn a profit.

range of profit function defines the lowest to highest value of profit earned.

(b) the range of this function is (0 , 160 ). for this function, the range represents the outlet's profit earned.

60%