Measure of angle 0 is 7pie/ 4 reference the angle and tan

Reference angle is and tan = -1

Step-by-step explanation:

lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.

and reference angle for is  

2π- =

and tan = -tan =  -1

Since tan is negative in 4th quadrant ,therefore value will be  negative for the given angle .

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.