Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) WebAssign Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) (Homework) Current Score : 19 / 40 10/20/16, 3:31 PM Matthew Kuriluk MAT230, section MAT230.30 MOD1 2016, Fall 2016 Instructor: James Segala Due : Sunday, October 23 2016 11:59 PM EDT 1. 1/1 points | Previous AnswersBerrFinMath1 2.1.001. Find the simple interest on the loan. $1500 at 6% for 10 years. $ 900 Show My Work (Optional) 2. 1/1 points | Previous AnswersBerrFinMath1 2.1.002. Find the simple interest on the loan. (Round your answer to the nearest cent.) $845 at 6.55% for 5 years 6 months. $ 304.41 Show My Work (Optional) 3. 1/1 points | Previous AnswersBerrFinMath1 2.1.003. Find the total amount due for the simple interest loan. $1400 at 7% for 10 years. $ 2380 Show My Work (Optional) 4. 1/1 points | Previous AnswersBerrFinMath1 2.1.004. Find the total amount due for the simple interest loan. (Round your answer to the nearest cent.) $6100 at 5.9% for 4 years 9 months. $ 7809.53 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 1 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 5. 1/1 points | Previous AnswersBerrFinMath1 2.1.005. Find the interest rate on a loan charging $792 simple interest on a principal of $2750 after 8 years. % 3.6 Show My Work (Optional) 6. 1/1 points | Previous AnswersBerrFinMath1 2.1.006. Find the principal of a loan at 4.2% if the simple interest after 5 years 6 months is $1848. $ 8000 Show My Work (Optional) 7. 1/1 points | Previous AnswersBerrFinMath1 2.1.007. Find the term of a loan of $300 at 4.5% if the simple interest is $54. yr 4 Show My Work (Optional) 8. 0/1 points | Previous AnswersBerrFinMath1 2.1.008. How much should be invested now at 5.2% simple interest if $9072 is needed in 5 years? $ 25820.31 Show My Work (Optional) 9. 2/2 points | Previous AnswersBerrFinMath1 2.2.001. Determine the amount due on the compound interest loan. (Round your answers to the nearest cent.) $12,000 at 5% for 10 years if the interest is compounded in the following ways. (a) annually $ 19546.74 (b) quarterly $ 19723.43 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 2 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 10.2/2 points | Previous AnswersBerrFinMath1 2.2.003. Calculate the present value of the compound interest loan. (Round your answers to the nearest cent.) $27,000 after 6 years at 4% if the interest is compounded in the following ways. (a) annually $ 21338.49 (b) quarterly $ 21264.29 Show My Work (Optional) 11.1/1 points | Previous AnswersBerrFinMath1 2.2.005. Find the term of the compound interest loan. (Round your answer to two decimal places.) 4.9% compounded quarterly to obtain $8400 from a principal of $2000. yr 29.47 Show My Work (Optional) 12.2/2 points | Previous AnswersBerrFinMath1 2.2.007. Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your answers to two decimal places.) 3% compounded annually. "rule of 72" 24 yr exact answer 24 yr Show My Work (Optional) 13.1/2 points | Previous AnswersBerrFinMath1 2.2.008. Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your answers to two decimal places.) 7.6% compounded weekly. "rule of 72" 9.47 yr exact answer .182 yr Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 3 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 14.0/1 points | Previous AnswersBerrFinMath1 2.2.009. Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.) 16% compounded monthly. [Note: This rate is a typical credit card interest rate, often stated as 1.3% per month.] 16 % Show My Work (Optional) 15.1/1 points | Previous AnswersBerrFinMath1 2.2.010. Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.) A $90,000 zero-coupon bond maturing in 9 years and selling now for $46,035. 7.73 % Show My Work (Optional) 16.1/1 points | Previous AnswersBerrFinMath1 2.2.012. You have just received $185,000 from the estate of a long-lost rich uncle. If you invest all your inheritance in a tax-free bond fund earning 6.7% compounded quarterly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.) 25.4 yr Show My Work (Optional) 17.1/1 points | Previous AnswersBerrFinMath1 2.2.013. The Second Peoples National Bank offers a long-term certificate of deposit earning 6.83% compounded monthly. Your broker locates a $20,000 zero-coupon bond rated AA by Standard & Poor's for $7965 and maturing in 14 years. Which investment will give the greater rate of return? The Second Peoples National Bank offers a better rate of return. The zero-coupon bond offers a better rate of return. Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 4 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 18.1/1 points | Previous AnswersBerrFinMath1 2.2.014. You have just won $160,000 from a lottery. If you invest all this amount in a tax-free money market fund earning 8% compounded weekly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.) yr 22.92 Show My Work (Optional) 19.0/1 points | Previous AnswersBerrFinMath1 2.3.001. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the accumulated amount of the annuity. (Round your answer to the nearest cent.) $5500 annually at 5% for 10 years. $ 8958.92 Show My Work (Optional) 20.0/1 points | Previous AnswersBerrFinMath1 2.3.002. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the accumulated amount of the annuity. (Round your answer to the nearest cent.) $2000 monthly at 4.4% for 20 years. $ 4814.05 Show My Work (Optional) 21.0/1 points | Previous AnswersBerrFinMath1 2.3.003. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking fund. (Round your answer to the nearest cent.) Monthly deposits earning 6% to accumulate $2000 after 10 years. $ 3581.70 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 5 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 22.-/1 pointsBerrFinMath1 2.3.004. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the required payment for the sinking fund. (Round your answer to the nearest cent.) Yearly deposits earning 12.5% to accumulate $8500 after 12 years. $ Show My Work (Optional) 23.-/1 pointsBerrFinMath1 2.3.006. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. Find the amount of time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.) $215 monthly at 5.2% to accumulate $25,000. yr Show My Work (Optional) 24.-/2 pointsBerrFinMath1 2.3.007. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. An individual retirement account, or IRA, earns tax-deferred interest and allows the owner to invest up to $5000 each year. Joe and Jill both will make IRA deposits for 30 years (from age 35 to 65) into stock mutual funds yielding 9.1%. Joe deposits $5000 once each year, while Jill has $96.15 (which is 5000/52) withheld from her weekly paycheck and deposited automatically. How much will each have at age 65? (Round your answer to the nearest cent.) Joe $ Jill $ Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 6 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 25.-/1 pointsBerrFinMath1 2.3.008. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. How much must you invest each month in a mutual fund yielding 12.6% compounded monthly to become a millionaire in 10 years? (Round your answer to the nearest cent.) $ Show My Work (Optional) 26.-/1 pointsBerrFinMath1 2.3.009. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. The Oseola McCarty Scholarship Fund at the University of Southern Mississippi was established by a $130,000 gift from an 87-year-old woman who had dropped out of sixth grade and worked for most of her life as a washerwoman. How much would she have had to save each week in a bank account earning 3.7% compounded weekly to have $130,000 after 75 years? (Round your answer to the nearest cent.) $ Show My Work (Optional) 27.-/1 pointsBerrFinMath1 2.3.010. In the following ordinary annuity, the interest is compounded with each payment, and the payment is made at the end of the compounding period. You and your new spouse each bring home $1400 each month after taxes and other payroll deductions. By living frugally, you intend to live on just one paycheck and save the other in a mutual fund yielding 7.82% compounded monthly. How long will it take to have enough for a 20% down payment on a $165,000 condo in the city? (Round your answer to two decimal places.) yr Show My Work (Optional) 28.-/1 pointsBerrFinMath1 2.4.002. Calculate the present value of the annuity. (Round your answer to the nearest cent.) $1900 monthly at 6.8% for 30 years. $ Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 7 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 29.-/1 pointsBerrFinMath1 2.4.003. Determine the payment to amortize the debt. (Round your answer to the nearest cent.) Monthly payments on $110,000 at 3% for 25 years. $ Show My Work (Optional) 30.-/1 pointsBerrFinMath1 2.4.004. Determine the payment to amortize the debt. (Round your answer to the nearest cent.) Quarterly payments on $17,500 at 3.3% for 6 years. $ Show My Work (Optional) 31.-/1 pointsBerrFinMath1 2.4.005. Find the unpaid balance on the debt. (Round your answer to the nearest cent.) After 7 years of monthly payments on $190,000 at 5% for 25 years. $ Show My Work (Optional) 32.-/1 pointsBerrFinMath1 2.4.007. The super prize in a contest is $10 million. This prize will be paid out in equal yearly payments over the next 20 years. If the prize money is guaranteed by AAA bonds yielding 5% and is placed into an escrow account when the contest is announced 1 year before the first payment, how much do the contest sponsors have to deposit in the escrow account? (Round your answer to the nearest cent.) $ Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 8 of 9 Unit 1 Homework Assignment (2.1, 2.2, 2.3, 2.4) 10/20/16, 3:31 PM 33.-/2 pointsBerrFinMath1 2.4.009. Just before his first attempt at bungee jumping, John decides to buy a life insurance policy. His annual income at age 30 is $37,000, so he figures he should get enough insurance to provide his wife and new baby with that amount each year for the next 35 years. If the long-term interest rate is 6.6%, what is the present value of John's future annual earnings? (Round your answer to the nearest cent.) $ Rounding up to the next $50,000, how much life insurance should he buy? (Round your original answer to the nearest $50,000.) $ Show My Work (Optional) 34.-/1 pointsBerrFinMath1 2.4.010. A MasterCard statement shows a balance of $520 at 13.7% compounded monthly. What monthly payment will pay off this debt in 1 year 5 months? (Round your answer to the nearest cent.) $ Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/last?dep=14528142 Page 9 of 9 Unit 4 Homework Assignment (4.1, 4.2) WebAssign Unit 4 Homework Assignment (4.1, 4.2) (Homework) Current Score : 25 / 36 10/20/16, 3:38 PM Matthew Kuriluk MAT230, section MAT230.30 MOD1 2016, Fall 2016 Instructor: James Segala Due : Sunday, October 23 2016 11:59 PM EDT 1. 4/5 points | Previous AnswersBerrFinMath1 4.1.001. Sketch the system of inequalities. x + 2y 32 x 0, y 0 Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 0, 0 (x, y) = 0, 16 (x, y) = 32, 0 Identify the region as "bounded" or "unbounded." bounded unbounded Show My Work (Optional) 2. 5/6 points | Previous AnswersBerrFinMath1 4.1.002. Sketch the system of inequalities. https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 1 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 2x + y 14 x 12 x 0, y 0 Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 0, 0 (x, y) = 0, 14 (x, y) = 12, 0 (x, y) = 12, 38 Identify the region as "bounded" or "unbounded." bounded unbounded Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 2 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 3. 3/6 points | Previous AnswersBerrFinMath1 4.1.003. Sketch the system of inequalities. x + 2y 10 x+y8 x 0, y 0 Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 0, 0 (x, y) = 0, 5 (x, y) = 8, 0 (x, y) = 6, 2 Identify the region as "bounded" or "unbounded." bounded unbounded Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 3 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 4. 3/4 points | Previous AnswersBerrFinMath1 4.1.005. Sketch the system of inequalities. List all vertices and identify the region as "bounded" or "unbounded." 4x + 3y 24 y4 x0 Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. List all vertices. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 0, 8 (x, y) = 3, 4 Identify the region as "bounded" or "unbounded." bounded unbounded Show My Work (Optional) 5. 2/7 points | Previous AnswersBerrFinMath1 4.1.007. Formulate the situation as a system of inequalities. (Let x represent the number of goats the farmer can raise and y represent the number of llamas.) A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $110 of veterinary care per year, while each llama needs 5 acres of land and requires $88 of veterinary care per year. If the rancher can afford no more than $14,520 for veterinary care this year, how many of each animal can he raise? https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 4 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 2x, 5y (land requirements) 110x, 88y (veterinary care) x 0, y 0 Sketch the feasible region. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. Find the vertices. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = 0, 0 (x, y) = 0, 80 (x, y) = 132, 0 (x, y) = 100, 40 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 5 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 6. 1/1 points | Previous AnswersBerrFinMath1 4.2.001. Use the region below to find the maximum value. (If such a value does not exist, enter DNE.) Maximum of P = 5x + 3y P = 120 Show My Work (Optional) 7. 1/1 points | Previous AnswersBerrFinMath1 4.2.003. Use the region below to find the minimum value. (If such a value does not exist, enter DNE.) Minimum of C = 8x + y C = 60 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 6 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 8. 1/1 points | Previous AnswersBerrFinMath1 4.2.005. Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if it does exist. (If an answer does not exist, enter DNE.) Maximize Subject to P = 60x + 80y 2x + y 16 x + y 10 x 0, y 0 P = 800 Show My Work (Optional) 9. 1/1 points | Previous AnswersBerrFinMath1 4.2.006. Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if it does exist. (If an answer does not exist, enter DNE.) Minimize Subject to C = 15x + 60y 2x + 5y 20 x 0, y 0 C = 150 Show My Work (Optional) 10.1/1 points | Previous AnswersBerrFinMath1 4.2.008. Solve the linear programming problem by sketching the region and labeling the vertices, deciding whether a solution exists, and then finding it if it does exist. (If an answer does not exist, enter DNE.) Maximize Subject to P = 15x + 9y 2x + y 90 x + y 50 x + 2y 90 x 0, y 0 P = 690 Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 7 of 8 Unit 4 Homework Assignment (4.1, 4.2) 10/20/16, 3:38 PM 11.3/3 points | Previous AnswersBerrFinMath1 4.2.009. Formulate the situation as a linear programming problem by identifying the variables, the objective function, and the constraints. Be sure to state clearly the meaning of each variable. Determine whether a solution exists, and if it does, find it. State your final answer in terms of the original question. A rancher raises goats and llamas on his 400-acre ranch. Each goat needs 2 acres of land and requires $100 of veterinary care per year, and each llama needs 5 acres of land and requires $80 of veterinary care per year. The rancher can afford no more than $13,200 for veterinary care this year. If the expected profit is $54 for each goat and $81 for each llama, how many of each animal should he raise to obtain the greatest possible profit? The rancher should raise 100 goats and 40 llamas for a maximum profit of $ 8640 . Show My Work (Optional) https://www.webassign.net/web/Student/Assignment-Responses/submit?pos=0&dep=14528145 Page 8 of 8