Hourly earnings the average hourly wages (in dollars) for private industry employees in the united states from 1990 through 2009 can be modeled by
w = 10.2e0.0315t
where t = 0 corresponds to 1990.
(a) what was the average hourly wage in 2000?
(b) in what year will the average hourly wage be $23?

a) Average hourly wage in 2016 is $13.98

b) In year 2006, the average hourly wage be $23.

Step-by-step explanation:

We are given the following in the question:

where t = 0 corresponds to 1990.

a) average hourly wage in 2000

For year 2000, we put t = 10

Putting the values, we get,

Average hourly wage in 2000 is $13.98

b)  year in which the average hourly wage be $23

Putting the values we get,

Thus, in year 2016, the average hourly wage be $23.

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pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.