Answer:
(D) "...because he will not have to pay any interest on his purchases during the introductory APR period."
Step-by-step explanation:
There may be many reasons for John to choose one over the other depending on his future and planned usage patterns. However, answer the (D) is the only correct one in terms of stating a reason that is actually supported by the information in the question. Specifically, there is 0% APR for card B.
What's wrong with the other choices:
Choice A: incorrect statement re APR after intro period (is not 1%); B: incorrect statement re cash advance (is not 0%); C: statement is not supported by anything in the information given (it is an assumption, and is unlikely).
Answer:
3
Step-by-step explanation:
Let x = # of boxes of felt-tip pens.
(x)(3.44)+(4x)(4.41) = 63.24
21.08x = 63.24
x = 3
Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.
Check the picture below.
make sure your calculator is in Degree mode.
<h3>
Answer: 38</h3>
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Explanation:
The square markers tell us that we have right angles (aka 90 degree angles) at angle XYZ and XWZ. They are congruent by definition.
Another pair of congruent angles is WXZ and YXZ which are the left-most angles of each triangle.
The sides XZ and XZ are congruent to each other (reflexive property)
Based on those three previous paragraphs, we can use the Angle Angle Side (AAS) congruence theorem to prove that the triangles are congruent.
Specifically we could write 
. The order of the letters is important so we know which letters pair up (eg: Y and W pair up as the 90 degree angles).
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In short, the triangles are identical copies of each other. The upper triangle reflects over the line XZ to get the lower triangle, and vice versa. This means the smaller corresponding pieces must also be the same.
In this case, WZ = YZ = 38
This one has two parts, first we have to find out the speed to drive 660 miles in 12 hours. Divide 660 by 12 to get the speed of 55 miles per hour, that is your rate for the next part.
Next we need to find out how long it will take to drive 495 miles at the same pace of 55 mph.
Do the same thing 495/55. That will give you your final answer.
495/55= 9
It will take him 9 hours to drive 495 miles at a rate of 55 mph.
