Unit 2 Homework Assignment (3.1, 3.2)

Please use the attached file. Thank you!

1. ?/1 pointsBerrFinMath1 3.1.001. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the

system is dependent, enter DEPENDENT.) x+y=4

x?y=2 (x, y) =

Show My Work (Optional)

2. ?/1 pointsBerrFinMath1 3.1.002. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the

system is dependent, enter DEPENDENT.) x+y=8

?x ? y = ?8 (x, y) =

Show My Work (Optional)

3. ?/1 pointsBerrFinMath1 3.1.003. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter

INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 13

2x + 3y = 33 (x, y) =

Show My Work (Optional)

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7/7/2016 Unit 2 Homework Assignment (3.1, 3.2)

4. ?/1 pointsBerrFinMath1 3.1.004. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter

INCONSISTENT. If the system is dependent, enter DEPENDENT.) 3x + y = 26

x + 2y = 17 (x, y) =

Show My Work (Optional)

5. ?/1 pointsBerrFinMath1 3.1.006. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter

INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + 5y = 59

2x + 3y = 45 (x, y) =

Show My Work (Optional)

6. ?/2 pointsBerrFinMath1 3.1.008. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y

variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

A lawyer has found 60 investors for a limited partnership to purchase an innercity apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $328,000, then how many investors contributed $4,000 and how many contributed $8,000?

x = $4,000 investors y = $8,000 investors

Show My Work (Optional)

7. ?/2 pointsBerrFinMath1 3.1.009. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y

variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

A jar contains 80 nickels and dimes worth $7.30. How many of each kind of coin are in the jar? x = nickels y = dimes

Show My Work (Optional)

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7/7/2016 Unit 2 Homework Assignment (3.1, 3.2)

8. ?/2 pointsBerrFinMath1 3.1.010. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y

variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question.

The concession stand at an ice hockey rink had receipts of $6600 from selling a total of 2800 sodas and hot dogs. If each soda sold for $2 and each hot dog sold for $3, how many of each were sold?

x = sodas y = hot dogs

Show My Work (Optional)

9. ?/4 pointsBerrFinMath1 3.2.001. Find the dimension of the matrix.

91 85 23

?

Find the values of the specified elements. a1,1 =

a3,2 =

Show My Work (Optional)

10.?/4 pointsBerrFinMath1 3.2.002. Find the dimension of the matrix.

?2 3 6 8 ?1 6 8 2 ?5 ?5 6 7

?

Find the values of the specified elements. a2,2 = a3,4 =

Show My Work (Optional)

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7/7/2016 Unit 2 Homework Assignment (3.1, 3.2)

11.?/6 pointsBerrFinMath1 3.2.003. Find the augmented matrix representing the system of equations.

x + 2y = 9 3x + 5y = 18

Show My Work (Optional)

12.?/6 pointsBerrFinMath1 3.2.004. Find the augmented matrix representing the system of equations.

5x ? 4y = 28 x=6

Show My Work (Optional)

13.?/6 pointsBerrFinMath1 3.2.006. Carry out the row operation on the matrix.

R1?R2?R1 on

75 57 62 53

Show My Work (Optional)

14.?/1 pointsBerrFinMath1 3.2.008. Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a commaseparated list. If the system is

inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)

107 01 ?4

(x, y) =

Show My Work (Optional)

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7/7/2016 Unit 2 Homework Assignment (3.1, 3.2)

15.?/1 pointsBerrFinMath1 3.2.009. Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a commaseparated list. If the system is

inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.)

235

001 (x, y) =

Show My Work (Optional)

16.?/1 pointsBerrFinMath1 3.2.011. Solve the system by rowreducing the corresponding augmented matrix. (Enter your answers as a commaseparated list. If the system is

inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + y = 13

x+y=9 (x, y) =

Show My Work (Optional)

17.?/2 pointsBerrFinMath1 3.2.014. Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x and yvariables. Solve

the system by rowreducing the corresponding augmented matrix. State your final answer in terms of the original question.

A corn and soybean commodities speculator invested $18,000 yesterday with twice as much in soybean futures as in corn futures. How much did she invest in each?

x = $ invested in corn futures y = $ invested in soybean futures

Show My Work (Optional)

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7/7/2016 Unit 2 Homework Assignment (3.1, 3.2)

18.?/2 pointsBerrFinMath1 3.2.015. Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x and yvariables. Solve

the system by rowreducing the corresponding augmented matrix. State your final answer in terms of the original question.

For the final days before the election, the campaign manager has a total of $29,000 to spend on TV and radio ca

7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) WebAssign Unit 2 Homework Assignment (3.1, 3.2) (Homework) Current Score : - / 44 Ryan Manuel MAT230, section MAT230.31 MOD6 2016, Summer 2 2016 Instructor: Kathleen Ferguson Due : Sunday, August 21 2016 11:59 PM EDT 1. -/1 pointsBerrFinMath1 3.1.001. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 4 x y = 2 (x, y) = Show My Work (Optional) 2. -/1 pointsBerrFinMath1 3.1.002. Solve the system by graphing. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 8 x y = 8 (x, y) = Show My Work (Optional) 3. -/1 pointsBerrFinMath1 3.1.003. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 13 2x + 3y = 33 (x, y) = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 1/6 7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) 4. -/1 pointsBerrFinMath1 3.1.004. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 3x + y = 26 x + 2y = 17 (x, y) = Show My Work (Optional) 5. -/1 pointsBerrFinMath1 3.1.006. Solve the system by the elimination method. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + 5y = 59 2x + 3y = 45 (x, y) = Show My Work (Optional) 6. -/2 pointsBerrFinMath1 3.1.008. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question. A lawyer has found 60 investors for a limited partnership to purchase an innercity apartment building, with each contributing either $4,000 or $8,000. If the partnership raised $328,000, then how many investors contributed $4,000 and how many contributed $8,000? x = $4,000 investors y = $8,000 investors Show My Work (Optional) 7. -/2 pointsBerrFinMath1 3.1.009. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question. A jar contains 80 nickels and dimes worth $7.30. How many of each kind of coin are in the jar? x = nickels y = dimes Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 2/6 7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) 8. -/2 pointsBerrFinMath1 3.1.010. Formulate the situation as a system of two linear equations in two variables. Be sure to state clearly the meaning of your x and y variables. Solve the system by the elimination method. Be sure to state your final answer in terms of the original question. The concession stand at an ice hockey rink had receipts of $6600 from selling a total of 2800 sodas and hot dogs. If each soda sold for $2 and each hot dog sold for $3, how many of each were sold? x = sodas y = hot dogs Show My Work (Optional) 9. -/4 pointsBerrFinMath1 3.2.001. Find the dimension of the matrix. 9 1 8 5 2 3 Find the values of the specified elements. a1,1 = a3,2 = Show My Work (Optional) 10.-/4 pointsBerrFinMath1 3.2.002. Find the dimension of the matrix. 2 3 6 8 1 6 8 2 5 5 6 7 Find the values of the specified elements. a2,2 = a3,4 = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 3/6 7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) 11.-/6 pointsBerrFinMath1 3.2.003. Find the augmented matrix representing the system of equations. x + 2y = 9 3x + 5y = 18 Show My Work (Optional) 12.-/6 pointsBerrFinMath1 3.2.004. Find the augmented matrix representing the system of equations. 5x 4y = 28 x = 6 Show My Work (Optional) 13.-/6 pointsBerrFinMath1 3.2.006. Carry out the row operation on the matrix. R1 R2 R1 on 7 5 57 6 2 53 Show My Work (Optional) 14.-/1 pointsBerrFinMath1 3.2.008. Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 1 0 7 0 1 4 (x, y) = Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 4/6 7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) 15.-/1 pointsBerrFinMath1 3.2.009. Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2 3 5 0 0 1 (x, y) = Show My Work (Optional) 16.-/1 pointsBerrFinMath1 3.2.011. Solve the system by rowreducing the corresponding augmented matrix. (Enter your answers as a commaseparated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) 2x + y = 13 x + y = 9 (x, y) = Show My Work (Optional) 17.-/2 pointsBerrFinMath1 3.2.014. Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x and yvariables. Solve the system by rowreducing the corresponding augmented matrix. State your final answer in terms of the original question. A corn and soybean commodities speculator invested $18,000 yesterday with twice as much in soybean futures as in corn futures. How much did she invest in each? x = $ y = $ invested in corn futures invested in soybean futures Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 5/6 7/7/2016 Unit 2 Homework Assignment (3.1, 3.2) 18.-/2 pointsBerrFinMath1 3.2.015. Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x and yvariables. Solve the system by rowreducing the corresponding augmented matrix. State your final answer in terms of the original question. For the final days before the election, the campaign manager has a total of $29,000 to spend on TV and radio campaign advertisements. Each TV ad costs $3000 and is seen by 10,000 voters, while each radio ad costs $500 and is heard by 2000 voters. Ignoring repeated exposures to the same voter, how many TV and radio ads will contact 104,000 voters using the allocated funds? x = TV ads y = radio ads Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=13959999 6/6 Sol: (1) Sol: (2) Sol: (3) Sol: (4) Sol: (5) x , y 3, 1 Dependent x , y 6, 7 x , y 7, 5 x , y 12, 7 Sol: (6) 4 x 8 y 32, x y 6 After solving , we get x , y 4, 2 Sol: (7) x Number of nickels ; y number of dim es x y 80 y 80 x Use this to substitute for y below .. $0.05x $0.10 y $7.30 Substitute for y. $0.05x $0.10 80 x $7.30$ 0.05x $8.00 $0.10 x $7.30 $0.05N $0.70 x 14 There are 14 nickels in the jar . y 80 14 66 There are 36 dim es in the jar . x , y 14, 66 Sol: (8) Sodas x Hot dogs y x y 2800 2x 3y 6600 .....(1) .....(2) Multiply Eq 1 by 3 3x 3y 8400 .....(3) Subtract Eq 2 from Eq 3 x 1800 Substitute x 1800 into Eq 1 1800 y 2800 y 2800 1800 y 1000 Therefore 1800 sodas and 1000 hot dogs were sold. x , y 1800, 1000 Sol: (9) Sol: (10) Dimension 3 2 , a1,1 9 , Dimension 3 4 , a3,2 3 a2,2 6 , a3,4 7 Sol: (11) Augmented matrix 1 2 9 3 5 18 5 4 28 1 0 Sol: (12) Augmented matrix Sol: (13) Row operation 1 3 4 6 2 53 6 Sol: (14) Sol: (15) Sol: (16) x , y 7, 4 The system is inconsistent . x , y 4, 5 Sol: (17) Corn x Soybean y Given that x y 18,000 x 2y 0 Augmented matrix 1 1 18,000 1 2 0 After solving with row operation, we get x , y 12,000, 6,000 Sol: (18) TV ads x radio ads y Given that 3,000x 500 y 29,000 10,000 x 2,000 y 104,000 Augmented matrix 3,000 10,000 500 29,000 2,000 104,000 After solving with row operation, we get x , y 6, 22 \fSol: (1) Sol: (2) Sol: (3) Sol: (4) Sol: (5) x , y 3, 1 Dependent x , y 6, 7 x , y 7, 5 x , y 12, 7 Sol: (6) 4,000x 8,000 y 328,000 x y 60 After solving , we get x , y 38, 22 Sol: (7) x Number of nickels ; y number of dim es x y 80 y 80 x Use this to substitute for y below .. $0.05x $0.10 y $7.30 Substitute for y. $0.05x $0.10 80 x $7.30$ 0.05x $8.00 $0.10x $7.30 $0.05N $0.70 x 14 There are 14 nickels in the jar . y 80 14 66 There are 36 dim es in the jar . x , y 14, 66 Sol: (8) Sodas x Hot dogs y x y 2800 2x 3y 6600 .....(1) .....(2) Multiply Eq 1 by 3 3x 3y 8400 .....(3) Subtract Eq 2 from Eq 3 x 1800 Substitute x 1800 into Eq 1 1800 y 2800 y 2800 1800 y 1000 Therefore 1800 sodas and 1000 hot dogs were sold. x , y 1800, 1000 Sol: (9) Sol: (10) Dimension 3 2 , a1,1 9 , Dimension 3 4 , a3,2 3 a2,2 6 , a3,4 7 Sol: (11) Augmented matrix 1 2 9 3 5 18 5 4 28 1 0 Sol: (12) Augmented matrix Sol: (13) Row operation 1 3 4 6 2 53 6 Sol: (14) Sol: (15) Sol: (16) x , y 7, 4 The system is inconsistent . x , y 4, 5 Sol: (17) Corn x Soybean y Given that x y 18,000 2x y 0 Augmented matrix 1 1 18,000 2 1 0 After solving with row operation, we get x , y 6,000, 12,000 Sol: (18) TV ads x radio ads y Given that 3,000x 500 y 29,000 10,000 x 2,000 y 104,000 Augmented matrix 3,000 10,000 500 29,000 2,000 104,000 After solving with row operation, we get x , y 6, 22 Sol: (1) Sol: (2) Sol: (3) Sol: (4) Sol: (5) x , y 3, 1 Dependent x , y 6, 7 x , y 7, 5 x , y 12, 7 Sol: (6) 4 x 8 y 32, x y 6 After solving , we get x , y 4, 2 Sol: (7) x Number of nickels ; y number of dim es x y 80 y 80 x Use this to substitute for y below .. $0.05x $0.10 y $7.30 Substitute for y. $0.05x $0.10 80 x $7.30$ 0.05x $8.00 $0.10 x $7.30 $0.05N $0.70 x 14 There are 14 nickels in the jar . y 80 14 66 There are 36 dim es in the jar . x , y 14, 66 Sol: (8) Sodas x Hot dogs y x y 2800 2x 3y 6600 .....(1) .....(2) Multiply Eq 1 by 3 3x 3y 8400 .....(3) Subtract Eq 2 from Eq 3 x 1800 Substitute x 1800 into Eq 1 1800 y 2800 y 2800 1800 y 1000 Therefore 1800 sodas and 1000 hot dogs were sold. x , y 1800, 1000 Sol: (9) Sol: (10) Dimension 3 2 , a1,1 9 , Dimension 3 4 , a3,2 3 a2,2 6 , a3,4 7 Sol: (11) Augmented matrix 1 2 9 3 5 18 5 4 28 1 0 Sol: (12) Augmented matrix Sol: (13) Row operation 1 3 4 6 2 53 6 Sol: (14) Sol: (15) Sol: (16) x , y 7, 4 The system is inconsistent . x , y 4, 5 Sol: (17) Corn x Soybean y Given that x y 18,000 x 2y 0 Augmented matrix 1 1 18,000 1 2 0 After solving with row operation, we get x , y 12,000, 6,000 Sol: (18) TV ads x radio ads y Given that 3,000x 500 y 29,000 10,000 x 2,000 y 104,000 Augmented matrix 3,000 10,000 500 29,000 2,000 104,000 After solving with row operation, we get x , y 6, 22 \fSol: (1) Sol: (2) Sol: (3) Sol: (4) Sol: (5) x , y 3, 1 Dependent x , y 6, 7 x , y 7, 5 x , y 12, 7 Sol: (6) 4,000x 8,000 y 328,000 x y 60 After solving , we get x , y 38, 22 Sol: (7) x Number of nickels ; y number of dim es x y 80 y 80 x Use this to substitute for y below .. $0.05x $0.10 y $7.30 Substitute for y. $0.05x $0.10 80 x $7.30$ 0.05x $8.00 $0.10x $7.30 $0.05N $0.70 x 14 There are 14 nickels in the jar . y 80 14 66 There are 36 dim es in the jar . x , y 14, 66 Sol: (8) Sodas x Hot dogs y x y 2800 2x 3y 6600 .....(1) .....(2) Multiply Eq 1 by 3 3x 3y 8400 .....(3) Subtract Eq 2 from Eq 3 x 1800 Substitute x 1800 into Eq 1 1800 y 2800 y 2800 1800 y 1000 Therefore 1800 sodas and 1000 hot dogs were sold. x , y 1800, 1000 Sol: (9) Sol: (10) Dimension 3 2 , a1,1 9 , Dimension 3 4 , a3,2 3 a2,2 6 , a3,4 7 Sol: (11) Augmented matrix 1 2 9 3 5 18 5 4 28 1 0 Sol: (12) Augmented matrix Sol: (13) Row operation 1 3 4 6 2 53 6 Sol: (14) Sol: (15) Sol: (16) x , y 7, 4 The system is inconsistent . x , y 4, 5 Sol: (17) Corn x Soybean y Given that x y 18,000 2x y 0 Augmented matrix 1 1 18,000 2 1 0 After solving with row operation, we get x , y 6,000, 12,000 Sol: (18) TV ads x radio ads y Given that 3,000x 500 y 29,000 10,000 x 2,000 y 104,000 Augmented matrix 3,000 10,000 500 29,000 2,000 104,000 After solving with row operation, we get x , y 6, 22