In how many ways can the numbers 1, 2, 3, and 4 be ordered?

4

12

16

24

24

Step-by-step explanation:

You can choose 4 numbers for the first place. Then you have 3 numbers left for the second place. Now you have 2 numbers left for the third place. Finally, there is only 1 number left for the 4th place. We use the counting principle.

4 * 3 * 2 * 1 = 24

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.