Exam 9: Natural Number Functions and Probability

To fund Jamie's lottery winnings of $19,000 per month for the next 8 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be? Round to the nearest cent.

(Multiple Choice)

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Question 121

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

(Multiple Choice)

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Question 122

Find the r th term in the binomial expansion. $( c + y ) ^ { n }$

(Multiple Choice)

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Question 123

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.

(Multiple Choice)

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Question 124

To pay for college, a student borrows $4,600 interest-free from his father.If he pays his father back at the rate of $350 per month, how much will he still owe after 10 months?

(Multiple Choice)

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Question 125

The probability of rain today is 0.3.If it rains, the probability that Bill will forget his raincoat is 0.5. Find the probability that Bill will get wet.

(Multiple Choice)

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Question 126

A Super Ball rebounds to approximately 95% of the height from which it is dropped.If the ball is dropped from a height of 20 meters, how high will it rebound after the 10th bounce?

(Multiple Choice)

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Question 127

How many lines are determined by 7 points if no 3 points lie on a straight line?

(Multiple Choice)

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Question 128

Evaluate the expression. $\left( \begin{array} { l } 81 \\80\end{array} \right)$

(Multiple Choice)

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Question 129

The number of students studying algebra at State College is 511.The Department Chair expects enrollment to increase 11% each year.How many professors will be needed in 8 years to teach algebra If one professor can handle 50 students?

(Multiple Choice)

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Question 130

Find the r th term in the binomial expansion. $( z + y ) ^ { n }$

(Multiple Choice)

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Question 131

Find the value of $1,000 left on deposit for 13 years at an annual rate of 7%, compounded quarterly.

(Multiple Choice)

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Question 132

Find the amount of each regular payment to provide $5,000 in 5 years, at an annual rate r = 4%, compounded quarterly.

(Multiple Choice)

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Question 133

Select the right expression for the following sum and prove your statement is true for all natural numbers $n$ , where $r$ is a real number, $r \neq 1$ . $S _ { n } : 1 + r + r ^ { 2 } + \ldots + r ^ { n }$

(Multiple Choice)

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Question 134

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

(Multiple Choice)

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Question 135

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 7$

(Multiple Choice)

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Question 136

The 12th term of an arithmetic sequence is 76, and the first term is -1.Find the common difference.

(Multiple Choice)

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Question 137

Find the periodic payment required to repay $1,940 repaid in 15 monthly installments, at an annual rate of 13%.Round to the nearest cent.

(Multiple Choice)

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Question 138

A man estimates that the computer he plans to buy in 17 months will cost $3,100.To meet this goal, how much should he deposit in an account paying 12.6%, compounded monthly?

(Multiple Choice)

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Question 139

Find the sum of the first five terms of the sequence with the following general term. $2 k ^ { 0 }$

(Multiple Choice)

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Question 140

Showing 121 - 140 of 297

To fund Jamie's lottery winnings of $19,000 per month for the next 8 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be? Round to the nearest cent.

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

Find the r th term in the binomial expansion. $( c + y ) ^ { n }$

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.

To pay for college, a student borrows $4,600 interest-free from his father.If he pays his father back at the rate of $350 per month, how much will he still owe after 10 months?

The probability of rain today is 0.3.If it rains, the probability that Bill will forget his raincoat is 0.5. Find the probability that Bill will get wet.

A Super Ball rebounds to approximately 95% of the height from which it is dropped.If the ball is dropped from a height of 20 meters, how high will it rebound after the 10th bounce?

How many lines are determined by 7 points if no 3 points lie on a straight line?

Evaluate the expression. $\left( \begin{array} { l } 81 \\80\end{array} \right)$

The number of students studying algebra at State College is 511.The Department Chair expects enrollment to increase 11% each year.How many professors will be needed in 8 years to teach algebra If one professor can handle 50 students?

Find the r th term in the binomial expansion. $( z + y ) ^ { n }$

Find the value of $1,000 left on deposit for 13 years at an annual rate of 7%, compounded quarterly.

Find the amount of each regular payment to provide $5,000 in 5 years, at an annual rate r = 4%, compounded quarterly.

Select the right expression for the following sum and prove your statement is true for all natural numbers $n$ , where $r$ is a real number, $r \neq 1$ . $S _ { n } : 1 + r + r ^ { 2 } + \ldots + r ^ { n }$

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

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 7$

The 12th term of an arithmetic sequence is 76, and the first term is -1.Find the common difference.

Find the periodic payment required to repay $1,940 repaid in 15 monthly installments, at an annual rate of 13%.Round to the nearest cent.

A man estimates that the computer he plans to buy in 17 months will cost $3,100.To meet this goal, how much should he deposit in an account paying 12.6%, compounded monthly?

Find the sum of the first five terms of the sequence with the following general term. $2 k ^ { 0 }$

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

To fund Jamie's lottery winnings of $19,000 per month for the next 8 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be? Round to the nearest cent.

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

Find the r th term in the binomial expansion. (c+y)n( c + y ) ^ { n }(c+y)n

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.

To pay for college, a student borrows $4,600 interest-free from his father.If he pays his father back at the rate of $350 per month, how much will he still owe after 10 months?

The probability of rain today is 0.3.If it rains, the probability that Bill will forget his raincoat is 0.5. Find the probability that Bill will get wet.

A Super Ball rebounds to approximately 95% of the height from which it is dropped.If the ball is dropped from a height of 20 meters, how high will it rebound after the 10th bounce?

How many lines are determined by 7 points if no 3 points lie on a straight line?

Evaluate the expression. (8180)\left( \begin{array} { l } 81 \\80\end{array} \right)(8180​)

The number of students studying algebra at State College is 511.The Department Chair expects enrollment to increase 11% each year.How many professors will be needed in 8 years to teach algebra If one professor can handle 50 students?

Find the r th term in the binomial expansion. (z+y)n( z + y ) ^ { n }(z+y)n

Find the value of $1,000 left on deposit for 13 years at an annual rate of 7%, compounded quarterly.

Find the amount of each regular payment to provide $5,000 in 5 years, at an annual rate r = 4%, compounded quarterly.

Select the right expression for the following sum and prove your statement is true for all natural numbers nnn , where rrr is a real number, r≠1r \neq 1r=1 . Sn:1+r+r2+…+rnS _ { n } : 1 + r + r ^ { 2 } + \ldots + r ^ { n }Sn​:1+r+r2+…+rn

Find the 5th term in the binomial expansion. (c−t)n( c - t ) ^ { n }(c−t)n

Verify whether 1+2+3+…+n=n2(n+1)1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )1+2+3+…+n=2n​(n+1) is true for n=7n = 7n=7

The 12th term of an arithmetic sequence is 76, and the first term is -1.Find the common difference.

Find the periodic payment required to repay $1,940 repaid in 15 monthly installments, at an annual rate of 13%.Round to the nearest cent.

A man estimates that the computer he plans to buy in 17 months will cost $3,100.To meet this goal, how much should he deposit in an account paying 12.6%, compounded monthly?

Find the sum of the first five terms of the sequence with the following general term. 2k02 k ^ { 0 }2k0

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. $P _ { n } : 3 + 6 + 9 \ldots 3 n$

Find the r th term in the binomial expansion. $( c + y ) ^ { n }$

Evaluate the expression. $\left( \begin{array} { l } 81 \\80\end{array} \right)$

Find the r th term in the binomial expansion. $( z + y ) ^ { n }$

Select the right expression for the following sum and prove your statement is true for all natural numbers $n$ , where $r$ is a real number, $r \neq 1$ . $S _ { n } : 1 + r + r ^ { 2 } + \ldots + r ^ { n }$

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

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 7$

Find the sum of the first five terms of the sequence with the following general term. $2 k ^ { 0 }$