Exam 9: Natural Number Functions and Probability

One lender offers two mortgages, a 15-year mortgage at 16%, and a 19-year mortgage at 6%.For each, find the total of the monthly payments to repay $135,800.Round to the nearest cent.

(Multiple Choice)

4.9/5

(41)

Question 41

The managers of a pension fund invested $5 million in government bonds paying 6.83% annual interest, compounded semiannually.After 3 years, what will the investment be worth? Round your answer to The nearest thousand dollars.

(Multiple Choice)

4.7/5

(32)

Question 42

Select the correct inequality.

(Multiple Choice)

4.8/5

(37)

Question 43

The Jepsens are buying a $22,800 car and financing it over the next 6 years.They secure a 6.5% loan. What will be the total of the monthly payments? Round to the nearest cent.

(Multiple Choice)

4.9/5

(32)

Question 44

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

(Multiple Choice)

4.8/5

(27)

Question 45

Find the amount of each regular payment to provide $21,000 in 10 years, at an annual rate r = 6%, compounded semiannually.

(Multiple Choice)

4.8/5

(37)

Question 46

The first row in a movie theater contains 30 seats.As you move toward the back, each row has 3 additional seats.If there are 22 rows, what is the capacity of the theater?

(Multiple Choice)

4.7/5

(33)

Question 47

The first row in a movie theater contains 22 seats.As you move toward the back, each row has 2 additional seats.If there are 34 rows, what is the capacity of the theater?

(Multiple Choice)

4.8/5

(39)

Question 48

A man estimates that the computer he plans to buy in 15 months will cost $2,400.To meet this goal, how much should he deposit in an account paying 9.6%, compounded monthly?

(Multiple Choice)

4.8/5

(31)

Question 49

Select the right expression for the following sum and prove that your statement is true for all natural numbers $n$ . $P _ { \mathrm { n } } : 3 + 6 + 9 \ldots 3 n$

(Multiple Choice)

4.7/5

(24)

Question 50

What single amount deposited now into an account paying $7 \frac { 2 } { 3 } \%$ annual interest, compounded quarterly, would fund an annuity paying $\$ 3,470$ quarterly for the next 18 years?

(Multiple Choice)

4.8/5

(35)

Question 51

Write the first six terms of the sequence defined by the function. $f ( n ) = 7 n ( n - 1 )$

(Multiple Choice)

4.8/5

(38)

Question 52

Use the binomial theorem to expand the binomial. $( x + d ) ^ { 3 }$

(Multiple Choice)

4.8/5

(40)

Question 53

How many permutations does a combination lock have if each combination has 3 numbers, no two numbers of the combination are the same, and the lock dial has 30 notches?

(Multiple Choice)

4.8/5

(30)

Question 54

Assume that $350 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 7%.Find the accumulated amount after 5 years.Round to the nearest cent.

(Multiple Choice)

4.8/5

(34)

Question 55

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

(Multiple Choice)

4.8/5

(32)

Question 56

When Jim retires in 14 years, he expects to live lavishly on the money in a retirement account that is earning 5% interest, compounded semiannually.If the account now contains $149,500, how much will Be available at retirement?

(Multiple Choice)

4.7/5

(34)

Question 57

Find the (r + 1) th term in the binomial expansion. $( x + d ) ^ { n }$

(Multiple Choice)

4.7/5

(25)

Question 58

Evaluate the expression. $5 !$

(Multiple Choice)

4.7/5

(35)

Question 59

When Jim retires in 9 years, he expects to live lavishly on the money in a retirement account that is earning 8% interest, compounded semiannually.If the account now contains $152,500, how much will Be available at retirement?

(Multiple Choice)

4.8/5

(30)

Question 60

Showing 41 - 60 of 297

One lender offers two mortgages, a 15-year mortgage at 16%, and a 19-year mortgage at 6%.For each, find the total of the monthly payments to repay $135,800.Round to the nearest cent.

The managers of a pension fund invested $5 million in government bonds paying 6.83% annual interest, compounded semiannually.After 3 years, what will the investment be worth? Round your answer to The nearest thousand dollars.

Select the correct inequality.

The Jepsens are buying a $22,800 car and financing it over the next 6 years.They secure a 6.5% loan. What will be the total of the monthly payments? Round to the nearest cent.

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

Find the amount of each regular payment to provide $21,000 in 10 years, at an annual rate r = 6%, compounded semiannually.

The first row in a movie theater contains 30 seats.As you move toward the back, each row has 3 additional seats.If there are 22 rows, what is the capacity of the theater?

The first row in a movie theater contains 22 seats.As you move toward the back, each row has 2 additional seats.If there are 34 rows, what is the capacity of the theater?

A man estimates that the computer he plans to buy in 15 months will cost $2,400.To meet this goal, how much should he deposit in an account paying 9.6%, compounded monthly?

Select the right expression for the following sum and prove that your statement is true for all natural numbers $n$ . $P _ { \mathrm { n } } : 3 + 6 + 9 \ldots 3 n$

What single amount deposited now into an account paying $7 \frac { 2 } { 3 } \%$ annual interest, compounded quarterly, would fund an annuity paying $\$ 3,470$ quarterly for the next 18 years?

Write the first six terms of the sequence defined by the function. $f ( n ) = 7 n ( n - 1 )$

Use the binomial theorem to expand the binomial. $( x + d ) ^ { 3 }$

How many permutations does a combination lock have if each combination has 3 numbers, no two numbers of the combination are the same, and the lock dial has 30 notches?

Assume that $350 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 7%.Find the accumulated amount after 5 years.Round to the nearest cent.

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

When Jim retires in 14 years, he expects to live lavishly on the money in a retirement account that is earning 5% interest, compounded semiannually.If the account now contains $149,500, how much will Be available at retirement?

Find the (r + 1) th term in the binomial expansion. $( x + d ) ^ { n }$

Evaluate the expression. $5 !$

When Jim retires in 9 years, he expects to live lavishly on the money in a retirement account that is earning 8% interest, compounded semiannually.If the account now contains $152,500, how much will Be available at retirement?

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Exam 9: Natural Number Functions and Probability

One lender offers two mortgages, a 15-year mortgage at 16%, and a 19-year mortgage at 6%.For each, find the total of the monthly payments to repay $135,800.Round to the nearest cent.

The managers of a pension fund invested $5 million in government bonds paying 6.83% annual interest, compounded semiannually.After 3 years, what will the investment be worth? Round your answer to The nearest thousand dollars.

Select the correct inequality.

The Jepsens are buying a $22,800 car and financing it over the next 6 years.They secure a 6.5% loan. What will be the total of the monthly payments? Round to the nearest cent.

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

Find the amount of each regular payment to provide $21,000 in 10 years, at an annual rate r = 6%, compounded semiannually.

The first row in a movie theater contains 30 seats.As you move toward the back, each row has 3 additional seats.If there are 22 rows, what is the capacity of the theater?

The first row in a movie theater contains 22 seats.As you move toward the back, each row has 2 additional seats.If there are 34 rows, what is the capacity of the theater?

A man estimates that the computer he plans to buy in 15 months will cost $2,400.To meet this goal, how much should he deposit in an account paying 9.6%, compounded monthly?

Select the right expression for the following sum and prove that your statement is true for all natural numbers nnn . Pn:3+6+9…3nP _ { \mathrm { n } } : 3 + 6 + 9 \ldots 3 nPn​:3+6+9…3n

What single amount deposited now into an account paying 723%7 \frac { 2 } { 3 } \%732​% annual interest, compounded quarterly, would fund an annuity paying $3,470\$ 3,470$3,470 quarterly for the next 18 years?

Write the first six terms of the sequence defined by the function. f(n)=7n(n−1)f ( n ) = 7 n ( n - 1 )f(n)=7n(n−1)

Use the binomial theorem to expand the binomial. (x+d)3( x + d ) ^ { 3 }(x+d)3

How many permutations does a combination lock have if each combination has 3 numbers, no two numbers of the combination are the same, and the lock dial has 30 notches?

Assume that $350 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 7%.Find the accumulated amount after 5 years.Round to the nearest cent.

Assume that the probability that an airplane engine will fail during a torture test is and that the aircraft in question has 6 engines.Find the probability that no engines will survive.

When Jim retires in 14 years, he expects to live lavishly on the money in a retirement account that is earning 5% interest, compounded semiannually.If the account now contains $149,500, how much will Be available at retirement?

Find the (r + 1) th term in the binomial expansion. (x+d)n( x + d ) ^ { n }(x+d)n

Evaluate the expression. 5!5 !5!

When Jim retires in 9 years, he expects to live lavishly on the money in a retirement account that is earning 8% interest, compounded semiannually.If the account now contains $152,500, how much will Be available at retirement?

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Select the right expression for the following sum and prove that your statement is true for all natural numbers $n$ . $P _ { \mathrm { n } } : 3 + 6 + 9 \ldots 3 n$

What single amount deposited now into an account paying $7 \frac { 2 } { 3 } \%$ annual interest, compounded quarterly, would fund an annuity paying $\$ 3,470$ quarterly for the next 18 years?

Write the first six terms of the sequence defined by the function. $f ( n ) = 7 n ( n - 1 )$

Use the binomial theorem to expand the binomial. $( x + d ) ^ { 3 }$

Find the (r + 1) th term in the binomial expansion. $( x + d ) ^ { n }$

Evaluate the expression. $5 !$