You want to paint a wall that is 71/2 feet tall and 93⁄4 feet wide with two coats of paint. how many cans of paint would you need to buy if one can covers 20 square feet?

  8 cans

Step-by-step explanation:

The area of the wall is the product of its dimensions:

  (7.5 ft)·(9.75 ft) = 73.125 ft^2

Twice that area is ...

  2 · (73.125 ft^2) = 146.25 ft^2

At 20 ft^2 per can, the number of cans required is ...

  (146.25 ft^2)/(20 ft^2/can) = 7.3125 cans

We assume you cannot buy a partial can, so ...

  you would need to buy 8 cans of paint for the wall.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.