University maths

Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

The value of x + x(x^x) when x = 2 is:

• (a) 10,

• (b) 16,

• (c) 18,

• (d) 36,

• (e) 64

Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:

• (a) broke even,

• (b) lost 4 cents,

• (c) gained 4 cents,

• (d) lost 10 cents,

• (e) gained 10 cents

The distance light travels in one year is approximately 5,870,000,000,000 miles. The distance light travels in 100 years is:

• (a) 587 × 10⁸ miles,

• (b) 587 × 10¹⁰ miles,

• (c) 587 × 10^-10 miles,

• (d) 587 × 10¹² miles,

• (e) 587 × 10^-12 miles

A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:

Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. His new time compared with the old time was:

If (0.2)^x = 2 and log 2 = 0.3010, then the value of x to the nearest tenth is:

If 10^2y = 25, then 10^-y equals:

The fraction ^(5x-11)/_(2x² _{+ x - 6)} was obtained by adding the two fractions ^A/_{(x + 2)} and ^B/_{(2x - 3)}. The values of A and B must be, respectively:

• (a) 5x, -11,

• (b) -11, 5x,

• (c) -1, 3,

• (d) 3, -1,

The sum of three numbers is 98. The ratio of the first to the second is ²/₃, and the ratio of the second to the third is ⁵/₈. The second number is: