Consider the octagonal prism above. describe how you would make a cut to create a plane section in the following shapes: 1. rectangle 2. octagon 3. triangle 4. trapezoid

From the figure attached with this answer have octagon ABCDEFGH.

We can make a cut to create a plane section in the following shapes:

1. Rectangle

Here  ADEH form a rectangle. To make rectangle we take ADEH

2. Octagon

For getting Octagon just cut ABCDEFGH form octagon

3. Triangle

To get triangle cut opposite diagonals. From the figure we can see AOB,BOC,COD,DOE,EOF,FOG,GOH and HOA are triangles.

4. Trapezoid

To get trapezoid ABCD form trapezoid and EFGH form another trapezoid

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.

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step-by-step explanation: