John jones has decided to go into the business of producing and selling boats. in order to begin the venture, he must invest $10 million in a boat production plant. the cost to produce each boat will be $7000, and the selling price will be $20000. accounting for the cost of the production plant, create an expression which represents the profit, in dollars, that john will realize when x boats are produced and sold.

P(x) = 13,000x - 10,000,000

John's cost is the sum of fixed costs ($10,000,000) and variable costs ($7000·x).

John's revenue is the amount he gets from selling boats ($20,000·x).

The profit John realizes is the difference between revenue and cost:

... P(x) = revenue - cost

... P(x) = 20,000x -(10,000,000 +7000x) . . . . . use the expressions for each

... P(x) = 13,000x -10,000,000 . . . . . . . . . . . . . simplify

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is