A man needed money for college. He borrowed ​$7,000 at 16​% simple interest per year. If he paid ​$840 ​interest, what was the duration of the​ loan?

Q: Example. Solve the system by Gauss (Unique solution) + 2z = 4 3 3 X y 3x + 2y 2x + 3y T Z Z = =

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Q: Fermat's Little Theorem says that for all natural numbers p and integers x, if p is prime then x² =…

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Q: Match the third order linear equations with their fundamental solution sets. 1. y" — y" − y' + y = 0…

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Q: ht) Consider the discrete-time dynamical system Xr+1 - What is the equilibrium for this system? What…

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Q: Express p→g in NAND (1) and NOR (↓) form

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Q: 3) (A) Find a simplified explicit form (in terms of s and t) for the amount of interest earned…

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Q: List the critical numbers in order from smallest to largest. A: B: Write INC or DEC to describe if…

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Q: Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant. I (a)…

A: The open interval is represented using: (   ) and the closed interval is represented using:     . A…

Q: A woman purchases a car for $12,000. She pays $3,000 as a down payment and finances the remaining…

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Q: (c) If w EC is a solution to the equation z² equation 2222222 = πe-in/11 222 = πе¹/ then wis a…

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Q: Not understanding how 1.33626 was gotten after plugging in the formu

A: It is unit conversion. we know  1 ft = 12 in So,1 ft3 = 123 in3OR  1 in3 =1123ft3

Q: An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per…

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Q: Suppose that f(x, y) = x² − xy + y² − 5x + 5y with x² + y² ≤ 25. 1. Absolute minimum of f(x, y) is…

A: Given function is fx, y=x2-xy+y2-5x+5y The given condition is x2+y2≤25

Q: Utt-c²Uzz = 0 (d)u(0, t) = 0, u₂(1, t) = cos(t) (u(r,0) = u₂(x,0) = 0 if 0≤x≤ 1,t> 0

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Q: Consider solving Ax = b. we have two approximate solutions computed solution (x)...*x with a…

A: Given that A=0.7800.5630.9130.659b=0.2170.254x~=0.999-1.001x^=0.341-0.097 and the exact solution…

Q: decide if the given statement is true or false,and give a brief justification for your answer. If…

A: Eigenvalue: A number λ is said to be an eigenvalue of a matrix A if there exists a non-zero vector v…

Q: Use euler method with the given step size to estimate y(1.4) where y(x) is the solution of the…

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Q: (a) Suppose f() has a gradient at x ER". For any v ER", show that f'(x; rv) = rf'(x; v) for any r >…

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Q: (15) Let a, b = Z. Prove that if a is divisible by 4 and b is divisible by 4, then: (a) ab is…

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Q: The admission team at a new university are trying to predict the number of student applications they…

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Q: (8) Let P, Q be mathematical statements. Find the truth tables of the following statemen (a) (¬P VQ)…

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Q: Meteorology The normal monthly hightemperatures H (in degrees Fahrenheit) in Erie,Pennsylvania, are…

A: The normal monthly high temperatures are approximated by: H(t)=57.54-18.53cosπt6-14.03sinπt6. The…

Q: If g(x)=2x−3, and h(x)=1−4x, find the following new functions,as well as any values indicated. A)…

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Q: Let X = {s, t, u, 15, 16, 17), Y={t, v, w, 15, 17, 19), and Z= {t, v, 16, 17, 19). List the members…

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Q: (p⇒r) V (q→r) = (p^q) → r

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Q: SHOW YOUR COMPLETE SOLUTION AND GIVE WHAT IS ASKED. 1A.) Apply Newton’s method to find the root(s)…

A: For a. f'(1) =0 so method terminated.  For b we can use the newton formula for finding the result

Q: Find the particular solution of the differential equation x²y" + 11xy' +24y = 2x-4 (x > 0)

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Q: Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of…

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Q: What is the differential equation of the solution y = C₁e-9 + С₂xе-9x + С3e7* ? Oy" + 11y" - 45y +…

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Q: Solve the equation. 8(4x+8) + (x+2) = 11 What is the solution set? Select the correct choice below…

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Q: ) Let f: R → R be defined by f(x) = 5x³ – 7x – 10. Prove that if |x| ≤ 3, then |ƒ(x)| ≤ 166.

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Q: Question 5 Use the weighted grap. to find the distance from vertex a to vertex C. a Enter the answer…

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Q: 2.) Find the standard matrix for counterclockwise rotation of 135° about the y-axis in R³. Then use…

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Q: solve the recurrence relation subject to the initial conditions.  Find a closed-form solution for…

A: Given recurrence relation Ln=Ln-1+Ln-2 with initial conditions L1=1 , L2=3 for n≥3. This can be…

Q: Note: You can get full credit for this problem by just entering the final answer (to the last…

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Q: can you please give me the final answers  with each value to 2 decimal places (just convert the…

A: As T→π4=-568, 568,334 68=8.2534=5.83 Thus, T→π4=-58.25, 58.25,35.83

Q: yc = C₁t² + c₂t-¹.s 2. Give the differential equation t²y" - 2y = 3t² − 1, t> 0 with complementary…

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Q: T: R³ R³ be the linear transformation that projects u onto v=(2,-1,1). Find T(x, y, z) Find A, the…

A: Linear transformation and associated matrix

Q: What about 772.6306 and 32.179

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Q: Continuity of Power Series Let F(x) = E anx" be a power series with radius of convergence R > 0.…

A: As per the question we ha to prove the following inequality : |xn - yn| ≤ n|x - y| (|x|n-1 + |y|n-1)…

Q: Example. Solve the system by Gauss (No solution) X y + 2z -3x 2y 2x + 3y Z Z 4 -7 4

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Q: 1. Find the critical points and determine their nature for the system x = 2y + xy, y=x+y. Hence…

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Q: Solve 3dy — 4xydx = 3x ²y 4e − ²x² - A B e²y² = x³ (c-y³) е e ²x² = y³(c-x³) 2x2 Ⓒe²r² е D = x³…

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Q: a) 1) The statement (p^q) vr⇒-pvr is not a tautology. A counter-example is p: T; q: F; r: T. p: T;…

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Q: I need help writing a critique of this proof

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Q: (5 points) Sunny Mountain Company will make 1970 snow blowers available when the unit price is $680.…

A: Let x the number of snow blower. Given px=17x+188190326 For x=1970 px=$680 For x=5230 px=$850 For…

Q: A contour diagram of z = f(z,y) is given in the figure. Determine whether fz, fy, fzz and fyy are…

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Q: Consider vectors ₁ = 0, ₂: 3 -4, ū3 -8, 42. Suppose W = span{₁, U₂, U3, U₁}. 2 a. Is {₁,₂,3,4} a…

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Q: Find the absolute extrema of the function f(x, y) = 5x² + 2xy − 4y² + 2x + 2y — 1 on the domain…

A: Find the absolute extrema of the function f(x, y) = 5x² + 2xy - 4y² + 2x + 2y - 1 on the domain…