Geometry. include clear answer and explanation

Remark

The 29o angle is made up of a line that looks horizontal and the hypotenuse.

The only way to solve this is to assume the horizontal line just mentioned and x are parallel. If that is so, the angle of the triangle on your right is 29o as well.

Step One

Set up the equation.

You are using a right angle triangle using the 29o angle on the lower right that we defined in the remark section.

Cos(29) = adjacent / hypotenuse.

Adjacent = x

Hypotenuse = 500

Cos(29) = 0.8746

0.8746 = x / 500 Multiply both sides by 500

x = 0.8746 * 500

x = 437.3

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.