A health club charges an initiation fee of $200 and $35 per month. When will the total cost of membership exceed $2500? Be sure to enter your answer in terms of MONTHS. For example, 2 years and 3 months would be 27 months

Q: 1- Find the inverse by Gauss Elimination method: 1 001 2 31 i- A = -2 891 ii-A=4 5 6 iii- A = -2 #--…

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Q: Investing. How many years will it take $10,000 to grow to $18,800 if it is invested at 9% (A)…

A: Both the answers are given below

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A: Given, x3 + 5x = 20, We know that xn+1=xn+f(x)f'(x)Here f(x)=x3+5x-20f'(x)=3x2+5

Q: deo of Centroids Problem #1 In triangle ABC, point E (5,1.5) is the circumcenter, point H (4.3, 2.3)…

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Q: We always assume the radical is a square root if there is no index. True False

A: Yes it is true.

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Q: a

A: Given, f(x)= sqrt(2-10x) g(x)=-1/x

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 10 [:] -6 1 188…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. A 13 =0 61° x=

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Q: Describe the transformations from the parent function, then graph: y -1 -5 x-3 :(co, 3) Domain:…

A: We need to describe transformation of given function.

Q: Rewrite √2x²y in exponential form.

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Q: Find the sum of the series (-13) + (-6) + 1 + 8 +...+50

A: Given series, (-13)+(-6)+1+8+....+50 To be found - Sum of series

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: Find the determinant of the coefficient matrix of the following system. How many solutions can you…

A: We will fins determinant and we will decide how many solutions does the system have,

Q: Find the value of an investment of $20,000 for 14 years at an annual interest rate of 3.15%…

A: topic- exponential function

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: 315 241 42-9

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Q: Let (G, ◊) be a group and x = G. Suppose H is a subgroup of G that contains x. Which of the…

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Q: 7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams…

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Q: Solve each equation for x: a. log,(x + 1) = log, 6

A: The solution of the logarithmic equation is given below:

Q: Use the matrix of transition probabilities P and initial state matrix Xo to find the state matrices…

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Q: Find the sum of 1+++..... Hint: Series converges O 1.5 O infinity O-1.5

A: Given query is to find the sum of the series.

Q: 7. The area of a rectangular piece of cardboard shown is 675 square inches. The cardboard is used to…

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Q: The volume V of a sphere can be expressed in terms of its radius r according to the function V(r) =…

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Q: rite an equation of the form y=a sinbx or y=a cosbx to describe the graph below. VAA 2n 2 4 3. 0…

A: Given query is to find the equation of the function.

Q: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

A: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

Q: Find x if: (a) 2log, 4+ log, 5-log, 10 = log, c

A: As we know the logarithmic properties; 1). logbxa=a·logbx    where x, b>0, and b≠1 2).…

Q: A survey of 115 high school students determined whether they used Instagram, Twitter, or Facebook.…

A: Here, to find how many students only used Instagram.

Q: The improper integral A) e (В (C) O (D) 1 8 Stoe ex dx is

A: We have to find the value of the integral

Q: 3) Pat has 5 white beads and 1 black bead in her bag. She asks two friends about the probability of…

A: The objective is to solve the above question.

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: A certain campus club spent of their yearly budget on a sweet toga party they threw. If they still…

A: lets budget is x  so spent 3/7 of budget on party party cost = 3x/7 after remaining is  x - 3x/7 =…

Q: Represent the function 6 In(10 – x) as a power series (Maclaurin series) f(x) = Σ cnx"

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Q: If cos a = -√2 -¯2² and 1/2 , what are the values of sin and tan ? What is in degrees and radians?…

A: This question can be solved using the concept of trigonometric equations.

Q: Find the norm of and the unit vector u in the direction of if 3 4 1-2) 18 |||| 13 = - 18 ||

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Q: Which of the following best describes the first step of solving 7 2x x = 4? Add x to both sides…

A: To find the first step of solving the given equation.

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: (c) log, 8+ log x² = log x

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Q: In its first 10 years a mutual fund produced an average annual return of 20.88%. Assume that money…

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Q: The average of 5 test scores is exactly 80. Three of the scores are 73, 82, and 88. Which of the…

A: Here is the solution:

Q: ve the rational 1 2) ec 5

A: Given query is to find the solution of the rational function.

Q: Determine the area bounded by the functions f(x) = (x + 1)³ and g(x)= x + 1 1 A =-=-unit² 3 B unit²…

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Q: question 24 A certain field measures ½ mile x 1.2 miles. If there are 5280 feet in a mile, what…

A: Find the length of longer side in feet

Q: Given transformation T: R³ → M2x2 which is defined as T(x, y, z)=(x + y ) M2x2 is a vector space…

A: We can solve this as follows:

Q: Construct the truth table: (p ^ q) → (~p v q) and determine whether it is a tautology,…

A: As per Bartleby guideline in case of multiple questions, the only first question has been answered .…

Q: amous amusement park. or an unlimited number of in the family. The Xx), as a function of the ow many…

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Q: Simplify log x5-log x2 7logvx-logx³

A: We have to find out simplification

Q: Question 15 Determine the length of the minor axis of the following ellipse: 5² +2² = 1

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Q: 3) Write an equation that represents each circle. Show or explain why the equation represents the…

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Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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