Exam 9: Natural Number Functions and Probability

The first row in a movie theater contains 20 seats.As you move toward the back, each row has 1 additional seat.If there are 18 rows, what is the capacity of the theater?

Find the 5th term in the binomial expansion. $( a - y ) ^ { n }$

Assume that $800 is deposited in an account in which interest is compounded annually at a rate of 9%. Find the accumulated amount after 11 years.Round your answer to the nearest cent.

Evaluate the sum. $\sum _ { k = 3 } ^ { 8 } 4 k$

Assume that $400 is deposited at the end of each year into an account in which interest is compounded annually at a rate of 8.5%.Find the accumulated amount after 5 years.Round to the nearest cent.

Assume that $450 is deposited at the end of each year into an account in which interest is compounded annually at a rate of 5.5%.Find the accumulated amount after 14 years.Round to the nearest cent.

For next year's vacation, the Phelps family is saving $100 each month in an account paying 7% annual interest, compounded monthly.How much will be available a year from now?

Find the present value of an annuity with annual payments of $3,680 at 5.55%, compounded annually for 25 years.Round to the nearest cent.

Write the first six terms of the arithmetic sequence with the given properties. 7th term is 22; common difference is 3

Property values in the suburbs have been appreciating about 13% annually.If this trend continues, what will a $129,000 home be worth in four years? Give the result to the nearest dollar.

Assume that $450 is deposited at the end of each year into an account in which interest is compounded annually at a rate of 5.5%.Find the accumulated amount after 14 years.Round to the nearest cent.

How many permutations does a combination lock have if each combination has 5 numbers, no two numbers of the combination are the same, and the lock dial has 35 notches?

As Jorge starts working now at the age of 22, he decides to make regular contributions to a savings account.He wants to accumulate enough by age 55 to fund an annuity of $4,800 per month until age 80. What should his monthly contributions be? Assume that both accounts pay 8.5%, compounded Monthly.Round to the nearest cent.

One bacterium divides into two bacteria every 5 minutes.If two bacteria multiply enough to completely fill a petri dish in 1 hour, how long will it take one bacterium to fill the dish?

A woman would like to receive a $150,000 lump-sum distribution from her retirement account when she retires in 20 years.She begins making monthly contributions now to an annuity paying 7%, Compounded monthly.Find the amount of that contribution.

The last payment of a home mortgage is a balloon payment of $21,000 which the owner is scheduled to pay in 20 years.How much extra should he start including in each monthly payment to eliminate the Balloon payment? His mortgage is at 10.6%, compounded monthly.Round to the nearest cent.

Find the 5th term in the binomial expansion. $( a + \sqrt { 3 } t ) ^ { 9 }$

As Jorge starts working now at the age of 22, he decides to make regular contributions to a savings account.He wants to accumulate enough by age 55 to fund an annuity of $4,800 per month until age 80. What should his monthly contributions be? Assume that both accounts pay 8.5%, compounded Monthly.Round to the nearest cent.

Find the next term of the sequence. $64,125,216,343 , \ldots$

The Jepsens are buying a $23,400 car and financing it over the next 4 years.They secure an 8.6% loan. What will their monthly payments be?