6.find the missing value. show your work. round to the nearest hundredth. a. b. c.

Here the base angle given is 51°.

The side opposite to 51° is y

The hypotenuse is given as 12.

The trigonometric ratio associating opposite & hypotenuse is sin

We know sin = Opposite/ Hypotenuse

Substituting the values   of angle , opposite & hypotenuse

We have

y/12 = sin 51°

Multiplying both sides by 12 we get

y=12 × sin 51°

y = 9.326

Rounding to the nearest hundredths we get

y = 9.33

goog may have it for you

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.