Math 13

Question 1:

Which of the following are the coordinates of the unlabeled vertex of the rectangle shown?

Question 2:

In the standard (x,y) plane, A has coordinates (4,-3) and B has coordinates (-8,5). Approximately how long is segment AB?

Question 3:

In a certain number sequence, each term after the first is a result of multiplying the previous term by 4 and then subtracting 3. The 4th term is 257. What is the second term?

Question 4:

A formula used to compute the current value of a savings account is A = P(1 + r)ⁿ, where A is the current value, P is the amount deposited, r is the rate of interest for 1 compounding period, expressed as a decimal; and n is the number of compounding periods. Which of the following is closest to the value of a savings account after 8 years if $6500 is deposited at 5.5% annual interest compounded yearly?

Question 5:

For right triangle PQR shown, what is sin∠P?

Question 6:

The sum of an infinite geometric series with first term A and common ratio R, where R< 1, is given by A/(1-R). The sum of a given infinite geometric series is 12.5 and the common ratio is .2. What is the 3rd term of this series?

Question 7:

[non-calculator] If f(x) = 3x + 2, what is f(-2x) equal to?

Question 8:

[non-calculator]

L = 5F – 250

The equation above is used to model the relationship between the number of cups, L, of lemonade sold per day at a lemonade stand during the summer. The average daily temperature in degrees Fahrenheit is represented by F. According to the model, what is the meaning of 5 in the equation?