Find the shaded area.

13.7345175425633 square feet

The rounding instructions are cut off, so it's not clear how you want to round this.

Explanation:

The area of the square is 8*8 = 64 square feet.

The two unshaded semicircles combine to form a full circle of radius 4 ft. This circle has an area of A = pi*r^2 = pi*4^2 = 16pi square feet.

The shaded area is the result of taking the circle area away from the larger square area

shaded area = (area of large square) - (area of two semicircles)

shaded area = (area of large square) - (area of circle with radius 4)

shaded area = 64 - 16pi = exact value

shaded area = 13.7345175425633 = approximate value

1/5^2 = 7.56/45

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.