At a certain university recreation center, a member can receive a 30-minute massage,a 60-minute massage, or a 90-minute massage and is charged $0. 50 per minute for each massage. A member receiving a massage is charged the same fixed amount for each additional service, such as nutrition advice or a fitmess evaluation. At this center, what is the total charge to a member for a 60-minute massage and 3 additional services?

(1)At this recreation center, Jordan, a member, had a massage and 3 additional services for a total charge of $37.50.

(2)At this recreation center, Ryan, a member, had a massage and 2 additional services for a total charge of $60.00.

Is x²-y² a positive number?

(1)x-y is a positive number.

(2)x+y is a positive number.

If n>4, what is the value of the integer n?

(1)~$\frac{n!}{(n-3)!}$~=~$\frac{3!n!}{4!(n-4)!}$~

(2)~$\frac{n!}{3!(n-3)!}$~+~$\frac{n!}{4!(n-4)!}$~=~$\frac{(n+1)!}{4!(n-3)!}$~

In a certain group of people, the average (arithmetic mean) weight of the males is 180 pounds and of the females, 120 pounds. What is the average weight of the people in the group?

(1)The group contains twice as many females as males.

(2)The group contains 10 more females than males.

Is -3≤x≤3

(1) x²+y²=9

(2)x²+y ≤9

Is x less than y?

(1)x-y+1<0

(2)x-y-1<0

An investment has been growing at a fixed annual rate of 20% since it was first made;no portion of the investment has been withdrawn, and all interest has been reinvested. How much is the investment now worth?

(1)The value of the investment has increased by 44% since it was first made.

(2) If one year ago $600 had been withdrawn, today the investment would be worth 12% less than it is actually now worth.

If x+y+z>0, is z>1?

(1)z>x+y+1

(2)x+y+1<0

State X has a sales tax rate of k percent on all purchases and State Y has a sales tax rate of n percent on all purchases. What is the value of k-n?

(1)The sales tax on a $15 purchase is 30 cents more in State X than in State Y.

(2)The sales tax rate in State X is 1.4 times the sales tax rate in State Y.

Each of the five divisions of a certain company sent representatives to a conference. Ift he numbers of representatives sent by four ofthe divisions were 3, 4, 5, and 5, was the range of the numbers of representatives sent by the five divisions greater than 2?

(1)The median of the numbers of representatives sent by the five divisions was greater than the average (arithmetic mean) of these numbers.

(2)The median of the numbers of representatives sent by the five divisions was 4.