Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the highway. The car that Michael picked out costs $18,560. His dad agreed to purchase the car if Michael would pay it off in equal monthly payments for the next 64 months. The equation y= - 290x +18,560 represents the amount, y (in dollars), that Michael owes his father after x months.

(a) How much does Michael owe his dad after 3 months?

(b) Determine the slope of the line and interpret its meaning in the context of this problem.

(c) Interpret the meaning of the slope in the context of this problem.

The amount Michael owes his father increases or decreases by ___ per month.

can u please report this answer

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.