Buying a House The Browns want to purchase a house that costs $150,000. They plan to take out a $120,000 mortgage on the house and put $30,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $887.63 and with a 30-year mortgage their monthly payment would be $572.90. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
> Buying a Boat Soonyee is purchasing a pontoon boat. She can add any of the following options: cell phone holder, bluetooth radio, anchor lights, cupholders, depth gauge, navigation lights, dinette table, battery charging system, ski mirror. How many diff
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. U ( Ø
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. Ø ( Ø
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. U ( Ø
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. Ø ( U
> Convert the given numeral to a numeral inbase 10. 1101012
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. Ø ( Ø
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. A ( U
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. Ø ( A
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. Ø ( A
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. A ( A
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. A ( A
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. If A ( B, then A ( B.
> In Exercises 41–52, if the statement is true for all sets A and B, write “true.” If it is not true for all sets A and B, write “false.” Assume that A ≠ Ø, U ≠ Ø, and A ( U. If A ( B, then A ( B.
> A set contains nine elements. (a) How many subsets does it have? (b) How many proper subsets does it have?
> For set A = {a, b, c, d}, (a) list all the subsets of set A. (b) state which of the subsets in part (a) are not proper subsets of set A.
> Getting an 80 Average On four exams, Wallace’s grades were 79, 93, 91, and 68. What grade must he obtain on his fifth exam to have an 80 average?
> In Exercises 35–38, list all the subsets of the sets given. C = {steak, pork, chicken}
> In Exercises 35–38, list all the subsets of the sets given. B = {cow, horse}
> In Exercises 35–38, list all the subsets of the sets given. A = { ( }
> In Exercises 35–38, list all the subsets of the sets given. D = Ø
> Set A is the set of all cars manufactured by General Motors. Set B is the set of sports cars manufactured by General Motors.
> Set A is the set of natural numbers between 2 and 7. Set B is the set of natural numbers greater than 2 and less than 7.
> A = {x | x is a sport that uses a ball} B = {basketball, soccer, tennis}
> A = {x | x is a brand of soft drink} B = {A&W, Coca-Cola, Dr Pepper, Mountain Dew}
> A = {1, 3, 5, 7, 9} B = {3, 9, 5, 7, 6}
> Set A is the set of mystery books written in 2014. Set B is the set of books written in 2014.
> Convert the given numeral to a numeral inbase 10. 42316
> A = {x | x ( N and x < 6} B = { x | x ( N and 1 ≤ x ≤5 }
> A = {Xbox One, PS4, Wii} B = {Xbox One, Wii}
> Answer true or false. If false, give the reason. {1} [{ {1}, {2}, {3} }
> Answer true or false. If false, give the reason. 0 = { }
> Answer true or false. If false, give the reason. { } ( { }
> Answer true or false. If false, give the reason. {0} = Ø
> Answer true or false. If false, give the reason. Ø = { }
> Answer true or false. If false, give the reason. { } = {Ø}
> Answer true or false. If false, give the reason. {a, b, c} ( {c, b, a}
> Answer true or false. If false, give the reason. {chair} ({sofa, table, chair}
> The set of U.S. presidents under the age of 20 while in office
> Answer true or false. If false, give the reason. { } ( {vanilla, chocolate, strawberry}
> Answer true or false. If false, give the reason. tiger ( {zebra, giraffe, polar bear}
> Answer true or false. If false, give the reason. { } ( {2, 4, 6, 8}
> Answer true or false. If false, give the reason. {quarter} ( {penny, nickel, dime, quarter}
> Answer true or false. If false, give the reason. swimming ( {swimming, sailing, kayaking}
> Answer true or false. If false, give the reason. spade ( {diamond, heart, spade, club}
> Answer true or false. If false, give the reason. {8, 9, 10, 11} ( {9, 10, 11, 8}
> Answer true or false. If false, give the reason {gold, silver, bronze} ( {gold, bronze, silver}
> h ( {a, b, c, d, e, f }
> b ( {a, b, c, d, e, f }
> {e} ({a, e, i, o, u}
> The set of years in which the cost of a Super Bowl commercial was greater than $3.5 million and less than $4.0 million
> The set of years in which the cost of a Super Bowl commercial was between $2.5 million and $3 million
> The set of years in which the cost of a Super Bowl commercial was less than $2.5 million
> The set of years in which the cost of a Super Bowl commercial was more than $3.0 million
> {x | x is a social network site with between 300 million and 800 million registered users}
> {x | x is a social network site with between 200 million and 500 million registered users}
> {x | x is a social network site with less than 100 million registered users}
> {x | x is a social network site with at least 200 million registered users}
> B = {John Lennon, Ringo Starr, Paul McCartney, George Harrison }
> The set of the most interesting movies in 2015
> S = { spring, summer, fall, winter }
> E = {x | x € N and 4 ≤ x < 11}
> T = {oak, maple, elm, pine, … }
> S = {Bashful, Doc, Dopey, Grumpy, Happy, Sleepy, Sneezy }
> V = {a, e, i, o, u}
> D = {3, 6, 9, 12, 15, 18, … }
> A = {1, 2, 3, 4, 5, 6, 7}
> C is the set of months that contain less than 30 days.
> E is the set of odd natural numbers.
> D = {5, 10, 15, 20, … }
> Checking Account The balance in Gabriela’s checking account is $349.72. She purchased four video games at $32.39 each, including tax. If she pays by check, what is the new balance in her checking account?
> C = {3, 6, 9, 12, … }
> A = {1, 2, 3, 4, 5, 6, 7, 8, 9}
> B = {7, 8, 9, 10, 11, 12, 13, 14}
> The set of years in which Krispy Kreme sales were less than $700 million
> The set of years in which Krispy Kreme sales were between $800 million and $900 million
> The set of years in which Krispy Kreme sales were less than $900 million
> The set of years in which Krispy Kreme sales were greater than $900 million
> The set of cities in which the number of international visitors was between 12 million and 15 million
> The set of cities in which the number of international visitors was between 12 million and 13 million
> In Exercises 5–12, multiply using duplation and mediation. 27 ( 31
> The set of best musicians
> The set of cities in which the number of international visitors was less than 9 million
> In Exercises 5–12, multiply using duplation and mediation. 17 ( 26
> The set of cities in which the number of international visitors was greater than 10.5 million
> In Exercises 5–12, multiply using duplation and mediation. 15 ( 17
> The set of states in the United States that are not in the contiguous 48 states
> In Exercises 35 and 36, (a) use lattice multiplication to perform the multiplication. (Hint: Be sure not to list any number greater than or equal to the base within the box.) Write the answer in the base in which the exercise is given. (b) Multiply the n
> E = {x|x [ N and 14 ≤ x ‹ 85}
> In Exercises 33 and 34, use the method of duplation and mediation to perform the multiplication. See Section 4.1 for Egyptian and Roman numerals. Write the answer in the numeration system in which the exercise is given. (XXVI) . (LXVII)
> The set of states in the United States that have a common border with the state of Washington
> In Exercises 33 and 34, use the method of duplation and mediation to perform the multiplication. See Section 4.1 for Egyptian and Roman numerals. Write the answer in the numeration system in which the exercise is given.
> Home Theater System Jackson wants to purchase a home theater system that sells for $2500. Either he can pay the total amount at the time of purchase or he can agree to pay $250 down and $130 a month for 18 months. How much money can he save by paying the
> The set of football players over the age of 70 who are still playing in the National Football League
> In Exercises 31 and 32, we solve a multiplication problem using Napier’s rods. (a) Determine the numbers being multiplied. Each empty box contains a single digit. (b) Determine the product.
> The set of states in the United States that have a common border with Alaska
> In Exercises 31 and 32, we solve a multiplication problem using Napier’s rods. (a) Determine the numbers being multiplied. Each empty box contains a single digit. (b) Determine the product.
> B = {x|x€N and x is even6
> In Exercises 29 and 30, we show lattice multiplications. (a) Determine the numbers being multiplied. (b) Determine the product.
> C = {x|x + 6 = 10}
