Why is the slope of line segment AC the same as the slope of line segment DF in the figure below? A. because AB/EF=BC/DE? .
B. because AB/DE=BC/DF ?.
C. because AB=EF ?.
D. because BC=DE?.

Answer A because AB/EF=BC/DE?

Step-by-step explanation:

This is due to the properties of similar triangles ABD and FED where ratio of corresponding sides between similar triangles are constant.

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.

c > -10.55

step-by-step explanation: