You deposit $5000 in an account earning 6% interest compounded monthly. How much will you have in the account in 10 years? $

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A: We know Simple interest = (P × R ×T )/100192022 = (154210 × R × 8)/100192022 × 100 = 1233680 ×…

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Q: TV, J4n a maitipic of 3. (b) For cach nN, f5n is a multiple of 5. (c) For each n N with n ≥ 2, f1 +…

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Q: 1. Show that the following functions are convex by verifying the definition, i.e., that f(x +…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

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Q: Logic Problem 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. There are exactly five dorms.…

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Q: 1. Let Also let R = {(x, y, z) = R³ : 1 ≤ x² + y² ≤ 16, 0 ≤ z ≤ y +4}. √(x - y)dv. R (a) Sketch or…

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Q: Question 2. Find the limit lim (x,y) (0,0) 2¹+ y² + ys

A: Q2: we have to find out  if exists.we claim that Now using A.MG.M  , so we get  ,but So we get Now…

Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = √√√25 - x² - y²;…

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Q: 1. Show that the following functions are convex by verifying the definition, i.e., that f(x + (1…

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Q: 4. For u, v, and w in Exercise 2, find nonzero scalars C1, C2, C3 such that c₁u + c₂v + c3w = 0. Are…

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Q: Find a basis for the orthogonal complement of the subspace of R4 spanned by the following vectors.…

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Q: In the context of a 3 x 4 matrix, write down elementary matrices for the following operations: (a)…

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Q: 1. Solve using algebra. Show the EXACT solution. No graphing solution is accepted. Clearly display…

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Q: What is the remainder when 467 is divided by 7?

A: 3. Given that is divide by 7.    To find the remainder when is divide by 7.

Q: ) Consider the following linear programming formulation: Minimize cost = $1X₁ + $2X₂ Subject to: X₁…

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Q: Use the graph to determine the value of each composite function. (hof)(3) = (fog)(4) = h(x)! 90) M…

A: hof(3) = h(f(3))By graphhof(3) = h(-4)             =  5 hof(3) = 5

Q: 5. (x + 2y + 3) dx + (3x + 9y - 5) dy = 0

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Q: 2. Consider matrices of the form -2 1 = a ( - 1² - ²2² ) + ³ ( -7 _ ²2 ) B B -2 1 -2 (a) Ma,B≥ 0.…

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Q: Solve the congruences: 52x + 4 = 8(mod 22) 17x = 19(mod 100) 3x = 9(mod 12)

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Q: Beulah and Biff invest in Bertha Fund. They make an initial deposit of $1,000. After 1 year they…

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Q: Suppose that a matrix A has characteristic polynomial p(^) = 24 − 3a³ + 82² – 24. Consider the…

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Q: n(n + 1) 2 Use the formula S =- 1+ 2+ 3+ ... + 980 = to find the sum of 1 + 2 + 3 + ... + 980.

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Q: Problem #4: Suppose that a matrix A has characteristic polynomial p(2) = 24 62³ + 322 + 21. Consider…

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Q: 1. A car travels at a constant speed and burns g(x) liters of gas per kilometer, where x is the…

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Q: Eigen vectors and Eigen values

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Q: 2. Determine if the set is a basis of R3 [t] . {t² + 2t -3, t² + 5t, 2t² — 4}

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Q: Problem #6: Let A = 1 (A) 1 0 (G) 1 0 (a) Find a matrix P that diagonalizes A. (b) Find P¹AP [using…

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Q: Let K be a finite normal extension of a field F. If a, ß are any two elements of K conjugate over F,…

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