Questions from Survey of Mathematics

Q: Determine the sum of the first 50 multiples of 3.

Determine the sum of the first 50 multiples of 3.

Q: A Bouncing Ball Each time a ball bounces, the height attained

A Bouncing Ball Each time a ball bounces, the height attained by the ball is 6 in. less than the previous height attained. If on the first bounce the ball reaches a height of 6 ft, find the height att...

Q: Annual Pay Raises Rita is given a starting salary of $35

Annual Pay Raises Rita is given a starting salary of $35,000 and promised a $1400 raise per year after each of the next 8 years. (a) Determine her salary during her eighth year of work. (b) Determine...

Q: Samurai Sword Construction While making a traditional Japanese samurai sword, the

Samurai Sword Construction While making a traditional Japanese samurai sword, the master sword maker prepares the blade by heating a bar of iron until it is white hot. He then folds it over and pounds...

Q: A Bouncing Ball When dropped, a ball rebounds to four-

A Bouncing Ball When dropped, a ball rebounds to four-fifths of its original height. How high will the ball rebound after the fourth bounce if it is dropped from a height of 30 ft?

Q: India’s Population Growth In 2014 India’s population was about 1.3

India’s Population Growth In 2014 India’s population was about 1.3 billion people. If India’s population is growing by about 1.2% per year, estimate India’s population in the year 2030. Round your ans...

Q: Sums of Interior Angles The sums of the interior angles of a

Sums of Interior Angles The sums of the interior angles of a triangle, a quadrilateral, a pentagon, and a hexagon are 180°, 360°, 540°, and 720°, respectively. Use this pattern to find a formula for t...

Q: Determine r and a1 for the geometric sequence with a2 = 24

Determine r and a1 for the geometric sequence with a2 = 24 and a5 = 648.

Q: Write the first five terms of the arithmetic sequence with the first

Write the first five terms of the arithmetic sequence with the first term, a1, and common difference, d. a1 = -3, d = -4

Q: Determine whether the sequence is a Fibonaccitype sequence (each term is

Determine whether the sequence is a Fibonaccitype sequence (each term is the sum of the two preceding terms). If it is, determine the next two terms of the sequence