Mandy bought a desktop computer system to start her business from home for $4,995. It is expected to depreciate at a rate of 10% per year. After how many years will the value of her home computer system depreciate to approximately $2,150?

Q: Given the functions f(x) = x ^ 3 + x ^ 2 - 2x + 3 and g(x) = log(x) + 2 what type of functions are…

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Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Find out the maximum and minimum temperature.

Q: 34 ACTIVITY 1. Construct the truth table: (p^ q) → (~pv q) and determine whether it is a tautology,…

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Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

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Q: If a,,ª,,.....ª, is an AP of non-zero terms, what is the sum of the following series? 1 9,9₂ azaz

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Q: A student wishes to invest $500 in a savings account yielding 3% annual interest compounded every 6…

A: Compound interest formula needs to be applied.

Q: Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation.

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Q: Sketch the graph of on the axes below, indicating the value of the y-intercept. O y = 15 x 7x X

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Q: Question #2: Solve the system of equations (x² + y² = 10 y = x + 2

A: We have find the solution

Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

Q: c) Write down a quadratic equation that does not have a real solution. Explain your answer.

A: Solution is here

Q: 3 find 3A+4B-2C. (2 -2 -3 A = (²-5 ¹₁); B = (₁ 7² 73): <= (13) (1/ ; C 0 -1 -1

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Q: Find the zero(s) of the polynomial ³ - x²-3x+3.

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Q: V = set of all pairs of real numbers. (x,y) Q3 Prove that such as 2 (x, y) + (x²₁ y ₁ ) = (x + x² +…

A: Given:V= the set of all pairs of real numbers x,y.The operations are given…

Q: 2. A vehicle starts from rest and its velocity is measured every seconds for 8 seconds, with values…

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Q: Solve by elimination (addition or subtraction). 8x - 2y = 6 3x + 2y = 16 2x+y=7 x + 3y = 11

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Q: The equation b(x) = 2/5t + 20 expresses the number of tickets in a locker. The variable b represents…

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Q: 4. Solve. A) 3 ()² − 7 (¹) + 4 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. If p = a + b + c a. Determine the range of g(x) = e b. If aa = bb = c . -12x-11 ab log.(ab) _ bc…

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Q: Coco has been making a lot of progress at the gym recently! On Monday, she could bench press 50 kg.…

A: Given problem:- Coco has been making a lot of progress at the gym recently! On Monday, she could…

Q: Solve the equation [15]16 X+ [5]16 = [6]16 X+ [12]16 for XE Z 16. Write your answer as X= [X]16…

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Q: Q-5: Let A = a) b) -1 0- 0-1 1 3 -1 0 Show that A has eigenvalues λ = 0,-1,-2. Find an eigenvector…

A: We have to show the eigen values and eigen vector.

Q: Q-4: Define the mapping T: R³-R² by Ty a) T: R³ → R² by T ([₂]) = [X + 2] 1 Show that T' is a linear…

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.

Q: Prove this: A≤B iff AnB=A

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Q: What is the number product of two that add to 10? What number yield this product?

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Q: The general solution of the equation (D4+D²)y=-12 is A y=C₁ + C₂x + c3cosx + casinx + 6x² (B y=C₁ +…

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Q: 1. Discuss the convergence and divergence of the series E-1 3 + cos n en

A: We have to find if the given series converges.   According to our guidelines we can solve only one…

Q: 7. List out the event A that is an even number from a sample space of integers from 0 to 30…

A: We have to find out the events

Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: L-1 ( 1 (s+1)(s²-1)

A: A detailed solution is given below.

Q: If g(x) = — _*[e'-in(21+1)]dt, find g''(x) . - dx 2 A ex_ (2x + 1)2 B e* - In (2x + 1) 4 с ett (2x +…

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Q: Operations on algebraic expressions  2x + 5x - x

A: We can solve this as follows:

Q: 9. Use the shell method to find the volumes of the solids generated by revolving the shaded region…

A: In this question we have to use integration to solve this after revolving

Q: 6. √2+ i over R over O

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Q: Given

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Q: Consider the following function: x4 x3 h(x) x² + 5x 12 6 Find the open intervals on which h(x) is…

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Q: A. Instruction: Expand each binomial. 2. (1+2x³)5

A: We have to find out expansion

Q: Let (ẽ1, 2, 23, 24, 25, 26} be the standard basis in R6. Find the length of the vector x = 4ẻ₁ – 4ẻ2…

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Q: 3. In the interval 0<x<4 of the second derivative test, f(x) is Oa. Changes direction O b. Not…

A: (3)second derivative testf''(x)&gt;0 ,   f(x) is concave upf''(x)&lt;0 ,   f(x) is concave down

Q: Choose any that represents an ordered pair. (John,Smith) {a,b} {2,3} (1,{1,2})

A: We have to choose ordered pair

Q: Who is the Condorcet(Pairwise Comparison) winner? Number of Votes 14 1st Rank BBM 2nd Rank LENI 3rd…

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Q: The function f(x) is shown in the graph. 2 1 2 3 6 7 -1 0 -1. -2 -3 4 -5 -6 f(x) an

A: Given Problem:- Find the type of graph

Q: If you cut 9 and 7/16 inches off the of an 8 foot piece, how long do you have left

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Q: 2] Find the values of X, Y, and Z. (3+1)X-3Y+(2+i)Z = 3+4i 2X+Y-Z=2+i 3X + (1+i)Y - 4Z = 5 + 2i

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Suppose that the population of some state in 2010 was P = 36 million and its annual percentage rate…

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Q: Graph the following function over the indicated interval. y=2*; [-2,2] Choose the correct graph…

A: Solution: y=2x ; [2,-2] it's a exponential equation.

Q: Thirty cities were researched to determine whether they had a professional sports team, a symphony,…

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Q: Let S be the following relation on ℂ: S = {(x, y) ∈ ℂ2 : y − x is real}. Prove that S is an…

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Q: Suppose p(x) and q (x) are the functions whose values are given by the following table. p(x) q (x)…

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