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6. [-/1 Points] DETAILS BERRFINMATH1 2.2.009. MY NOTES ASK YOUR TEACHER Find the effective rate of the compound interest rate or investment. (Round your answer to two decimal places.) 21% compounded monthly. [Note: This rate is a typical credit card interest rate, often stated as 1.8% per month.] # Show My Work (Optional) 7. [-/1 Points] DETAILS BERRFINMATH1 2.2.012. MY NOTES ASK YOUR TEACHER You have just received $125,000 from the estate of a long-lost rich uncle. If you invest all your inheritance in a tax-free bond fund earning 6.2% compounded quarterly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.) yr # Show My Work (Optional) 8. [-/1 Points] DETAILS BERRFINMATH1 2.2.014. MY NOTES ASK YOUR TEACHER You have just won $190,000 from a lottery. If you invest all this amount in a tax-free money market fund earning 6% compounded weekly, how long do you have to wait to become a millionaire? (Round your answer to two decimal places.) yr Show My Work (Optional) @ 9. [-/1 Points] DETAILS BERRFINMATH1 2.3.001. MY NOTES ASK YOUR TEACHER 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.) $1500 annually at 6% for 10 years.10. [11 Points] DETAILS BERRFINMATH1 2.3.003. MY NOTES ASK YOUR TEACHER 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 deposie earning 6% to accumulate 54000 after 10 years. 3;: Show My Wotlopcmn o 11. [-I1 Points] BERRFINMATH1 2.3.005. ASK VDUR TEACHER 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 or time needed for the sinking fund to reach the given accumulated amount. (Round your answer to two decimal places.) $4500 yearly at 0% to accumulate $100,000. SW Show My Worklonliowll o 12. [12 Points] BERRFINMATH! 2.3.007. ASK YOUR TEACHER 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 taxideferred 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 9.3%. 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.) $:l Show My Workingsall o 13. [-11 Points] BERRFINMATH1 2.3.010. ASK YOUR TEACHER You and your new spouse each bring home $1500 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 7.95% compounded monthly. How long will it take to have enough for a 20% down payment on a $155,000 condo in the city? (Round your answer to two decimal places.) :w In the following ordinary annuity, the interest is compounded with each payment, and the payment is rriade at the end of the compounding period. 14. [-/1 Points] DETAILS BERRFINMATH1 2.4.003. MY NOTES ASK YOUR TEACHER Determine the payment to amortize the debt. (Round your answer to the nearest cent.) Monthly payments on $130,000 at 4% for 25 years. Show My Work (Optional) 15. [-/1 Points] DETAILS BERRFINMATH1 2.4.005. MY NOTES ASK YOUR TEACHER Find the unpaid balance on the debt. (Round your answer to the nearest cent.) After 6 years of monthly payments on $150,000 at 3% for 25 years. Show My Work (Optional) 16. [-/1 Points] DETAILS BERRFINMATH1 3.1.001. MY NOTES ASK YOUR TEACHER Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 8 ( x, V ) = ( Show My Work (Optional) ? 17. [-/1 Points] DETAILS BERRFINMATH1 3.1.003. MY NOTES ASK YOUR TEACHER Solve the system by the elimination method. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) x + y = 11 2x + 3y = 27 ( x, V ) = (18. [-/2 Points] DETAILS BERRFINMATH1 3.1.008. MY NOTES ASK YOUR TEACHER 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 inner-city apartment building, with each contributing either $6,000 or $12,000. If the partnership raised $486,000, then how many investors contributed $6,000 and how many contributed $12,000? X = $6,000 investors V $12,000 investors # Show My Work (Optional) 19. [-/4 Points] DETAILS BERRFINMATH1 3.2.001. MY NOTES ASK YOUR TEACHER Find the dimension of the matrix. NUM Find the values of the specified elements. 31,1 = 23,2 = Show My Work (Optional) 20. [-/6 Points] DETAILS BERRFINMATH1 3.2.003. MY NOTES ASK YOUR TEACHER Find the augmented matrix representing the system of equations. x + 3y = 8 (2x + 7y = 1421. [-/6 Points] DETAILS BERRFINMATH1 3.2.005. Carry out the row operation on the matrix. R1 - R2 on ($ 5 21 # Show My Work (Optional) @ 22. [-/6 Points] DETAILS BERRFINMATH1 3.2.006. Carry out the row operation on the matrix. R1 - R2 - R1 on 8 8 59 # Show My Work (Optional) 23. [-/6 Points] DETAILS BERRFINMATH1 3.2.007. Carry out the row operation on the matrix. - R2 - R 2 on -41 22524. [-/1 Points] DETAILS BERRFINMATH1 3.2.008. MY NOTES ASK YOUR TEACHER Interpret the augmented matrix as the solution of a system of equations. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT. If the system is dependent, enter DEPENDENT.) ( x, y ) = Show My Work (Optional) ? 25. [-/2 Points] DETAILS BERRFINMATH1 3.2.015. MY NOTES ASK YOUR TEACHER Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by row-reducing 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 $38,000 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 134,000 voters using the allocated funds? X = TV ads radio ads + Show My Work (Optional) @ 26. [-/12 Points] DETAILS BERRFINMATH1 3.3.001. MY NOTES ASK YOUR TEACHER Find the augmented matrix representing the system of equations. X1 + X2 + X3 = 3 *1 + 4 *2 + X3 = 4 (*1 + 4*2 + 3X3 = 227. [-/1 Points] DETAILS BERRFINMATH1 3.3.003. MY NOTES ASK YOUR TEACHER Interpret the row-reduced matrix as the solution of a system of equations. (Enter your answers as a comma-separated list. If the system is inconsistent, answer INCONSISTENT. If the system is dependent, parametrizations in terms of the parameter t.) ( 8 1 . " ) (X1, *2, X3) = ( # Show My Work (Optional) @ 28. [-/12 Points] DETAILS BERRFINMATH1 3.3.007. MY NOTES ASK YOUR TEACHER Use an appropriate row operation or sequence of row operations to find the equivalent row-reduced matrix. (:::1:) + Show My Work (Optional) ? Submit Answer 29. [-/9 Points] DETAILS BERRFINMATH1 3.4.002. MY NOTES ASK YOUR TEACHER Use the given matrix to find the expression. 3C 3C =30. [-/9 Points] DETAILS BERRFINMATH1 3.4.004. Use the given matrices to find the expression. 10 0 2 C - 2 8 5 :A + C A + C= # Show My Work (Optional) ? 31. [-/2 Points] DETAILS BERRFINMATH1 3.4.007. Find the matrix product. ( 2 : 4 ) ( - 3) + Show My Work (Optional) 32. [-/15 Points] DETAILS BERRFINMATH1 3.4.009. Rewrite the system of linear equations as a matrix equation AX = B. X1 + 5X2 + 2X3 = 2 X1 + *2 + X3 = 2 6 * 1 + 2 x2 + 3*3 = 234. [-/1 Points] DETAILS BERRFINMATH1 4.2.006. MY N 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 C = 15x + 45y Subject to 2x + 5y 2 20 x 20, y 20 C =