In the figure, line tu is tangent to the circle at point u. use the figure to answer both of the questions. show all of your work. (a) describe the relationship among the lengths of the segments formed by the secant, rt , and the tangent segment, tu. you may use words and/or an equation to describe. (b) suppose rt= 9 in. and st = 4 in. is it possible to find the length of tu ? if so, show how to find the length. if not, explain why not.

b) well because you get well

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.