Find the area of the figure. Round to the nearest tenth if necessary. Use 3.14 for . 47.3 units2 41.1 units2 57.1 units2 66.2 units2

41.1 units²

Step-by-step explanation:

The given figure is composed of a semicircle and a triangle.

The diameter of the circle = the base of the triangle = the distance between point D and point F on the x-axis.

Therefore,

Diameter (d) of circle = 8 units

Radius of circle =

Base of triangle = 8 units

The height of the triangle = the perpendicular distance between point E and segment DF on the y-axis

Height of triangle = 4 units

=>Area of the figure = area of triangle + area of semicircle

Area of figure =

Area of the figure = 41.1 units² (to the nearest tenth)

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.