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Note that for the following question you should use technology to do the matrix calculations. Consider a graph with the following adjacency matrix: /1 0 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 1 0 1 0 0 1 0 1 0 1 0 1 1 0 1 Assuming the nodes are labelled 1,2,3,4,5,6 in the same order as the rows and columns, answer the folllowing questions: (a) How many walks of length 2 are there from node 5 to itself? (b) How many walks of length 5 are there from node 5 to itself? (c) How many walks of length 5 are there from node 4 to node 2? (d) How many walks of length 6 are there from node 4 to node 2?

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Wilfredo bought a new boat for ​$12,100. He paid ​$2,000 for the down payment and financed the rest for 10​-years at an annual interest rate of 6​%. Use the table to find the monthly payment for the amortized loan. Find the total interest paid on the loan.

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Wilfredo bought a new boat for ​$12,100. He paid ​$2,000 for the down payment and financed the rest for 10​-years at an annual interest rate of 6​%. Use the table to find the monthly payment for the amortized loan. Find the total interest paid on the loan. EXPERT ANSWER

what is the amount of ten equal annual deposits that can provide five annual withdrawals where a first withdrawal of $2000 is made at the end of year 11 and subsequent withdrawals increase at the rate of 5% per year iver the previous year’s if the interest rate is 7% compounded annually?Use equation: A=P(P/A, i, n)

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EXPERT ANSWER We will equate the present value of 5 withdrawals at year 10 with the future value of ten annual deposits at year 10. Withdrawals are A11=$2000, A12 = $2000*(1.05), A13 = $2000*(1.05)^2, A14 = $2000*(1.05)^3, A15 = $2000 *(1.05)^4. This is geometric series starting at $2000 and growing at a 5% rate. Use …

what is the amount of ten equal annual deposits that can provide five annual withdrawals where a first withdrawal of $2000 is made at the end of year 11 and subsequent withdrawals increase at the rate of 5% per year iver the previous year’s if the interest rate is 7% compounded annually?Use equation: A=P(P/A, i, n) Read More »

sin x = 1 – 31 571 + From Numerical Methods for Engineers (Chapra) Q1 ) Determine the number of terms necessary to approximate sin x to 8 significant figures using the Maclaurin series approximation x35x? 91 b) Calculate the approximation using a value of x = 0.311 Q2 Convert the following base-2 numbers to base-10: a) 1001001 b) 111100101 Q3 Evaluate the polynomial y = x – 7x* + 8x – 0.35 1 = 1.567. Use 3-digit arithmetic with chopping. Evaluate the percent relative b) Repeat (a) but express y as y = ((x-7)x+8)x -0.35 errur From Richard burden and Douglas Faires Q4. Let f(x) = xe a. Find the second Taylor polynomial Ps(X) about Xo = 0, b. Find R (0.5) and the actual error in using P/(0.5) to approximate R0.5). c. Repeat part (a) using Xo = 1 d. Repeat pant (b) using the polynomial from part (c)

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