A company buys a fleet of six vans for $130,000. During the next 5 years, the fleet will depreciate at a rate of 30$n t h$ term of a geometric sequence that gives the value of the fleet t full years after it was purchased. (b) Find the depreciated value of the fleet at the end of 5 full years.

Suppose that the methods used by shoppers to pay for merchandise are as shown in the given circle graph. Two shoppers are chosen at random. What is the probability that both shoppers paid for their purchases only in cash?

Find the sum of the finite arithmetic sequence. Sum of the integers from −100 to 30

Write the first five terms of the sequence defined recursively. Use the pattern to write the nth term of the sequence as a function of n. (Assume n begins with 1.) $a_{1}=14, a_{k+1}=-2 a_{k}$

You can answer any 18 questions from a total of 20 questions on an exam. In how many different ways can you select the questions?

You can answer any 12 questions from a total of 14 questions on an exam. In how many different ways can you select the questions?

Find the sum. Use a graphing utility to verify your result. $\sum_{i=1}^{10} 5\left(-\frac{1}{3}\right)^{i-1}$

Two integers from 1 through 40 are chosen by a random number generator. What is the probability that (a) the numbers are both even, (b) one number is even and one is odd, (c) both numbers are less than 30, and (d) the same number is chosen twice?

Find the specified $n th$ term in the expansion of the binomial. $(10 x-3 y)^{12}, n=10$

Use the letters A, B, C, D, E, and F. Write all possible selections of three letters that can be formed from the letters. (The order of the three letters is not important.)

Find the sum of the infinite geometric series, if possible. If not possible, explain why. $\sum_{k=1}^{\infty} 1.3\left(\frac{1}{10}\right)^{k-1}$

Find the sum. Use a graphing utility to verify your result. $\sum_{n=0}^{15} 10\left(\frac{7}{6}\right)^{n}$

Find the sum of the finite arithmetic sequence. Sum of the first 50 negative integers

As of March 2010, the U.S. Senate Committee on Indian Affairs had 15 members. Party affiliation is not a factor in selection. How many different committees are possible from the 100 U.S. senators?