Exam 9: Natural Number Functions and Probability

The managers of a company's pension fund invest the monthly employee contributions of $145,000 into a government fund paying 7.7%, compounded monthly.To what value (rounded to the nearest Thousand) will the fund grow in 12 years?

Assume that $100 is deposited at the end of each period in an account in which interest is compounded at the frequency k = 12, at an annual rate of 11%.Find the accumulated amount after 9 years.Round to The nearest cent.

Assume that $150 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 6%.Find the accumulated amount after 13 years.Round to the nearest cent.

Property in suburbs closer to the city is appreciating about 7.5% annually.If this trend continues, what will a $40,000 one-acre lot be worth in five years? Give the result to the nearest dollar.

Assume that $\$ 350$ 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 3 years. Round to the nearest cent.

Assume that $450 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 8 years.Round to the nearest cent.

Write the first six terms of the arithmetic sequence with the given properties. $a = 7,3$ rd term is 1

One bacterium divides into two bacteria every 6 minutes.If two bacteria multiply enough to completely fill a petri dish in 2 hours, how long will it take one bacterium to fill the dish?

Assume that $100 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 10%.Find the accumulated amount after 4 years.Round to the nearest cent.

Assume that $500 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 12 years.Round to the nearest cent.

For a 7-day Hawaii vacation, Beth borrowed $2,990 for 5 months at an annual rate of 11.7%, compounded monthly.What did she owe?

Evaluate the expression. $2 ! \cdot 3 !$

Find the 3rd term in the binomial expansion. $\left( c + \frac { t } { 2 } \right) ^ { 8 }$

Insert four arithmetic means between -4 and 11.

One lender offers two mortgages, a 9-year mortgage at 15%, and a 23-year mortgage at 12%.For each, find the total of the monthly payments to repay $147,700.Round to the nearest cent.

Assume that $300 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 9%.Find the accumulated amount after 10 years.Round to the nearest cent.

When Jim retires in 8 years, he expects to live lavishly on the money in a retirement account that is earning 6% interest, compounded semiannually.If the account now contains $157,000, how much will Be available at retirement?

How many permutations does a combination lock have if each combination has 4 numbers, no two numbers of the combination are the same, and the lock dial has 30 notches?

A man estimates that the computer he plans to buy in 17 months will cost $3,600.To meet this goal, how much should he deposit in an account paying 12.7%, compounded monthly?

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 $6,500 per month until age 80. What should his monthly contributions be? Assume that both accounts pay 8.75%, compounded Monthly.Round to the nearest cent.