The price P of a certain computer system decreases immediately after its introduction and then increases. If the price P is estimated by the formula P = 120t2 - 1800t + 6000, where t is the time in months from its introduction, find the time until the minimum price is reached. Round to the nearest tenth if necessary.

Q: Find the minimum values for the set of equations; indicate if the solution has on converged. x² +…

A: Given, x2+2y2-2=02x3+y2-3=0 To Find: Minimum values for the above set of equations.

Q: The sum of two numbers is 5. Find the minimum value of the sum of their cubes.

A: Let the first number be x. Let the other number be y.   Thus, x+y=5y=5-x   The sum of the cubes of…

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Q: A car-leasing firm must decide how much to charge for maintenance on the cars it leases. After…

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Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0<or= x…

A: R(x) = Price x Quantity = P(x).x

Q: To get into the 250 Club, a bowler must score an average of 250 for a three-game series. If a bowler…

A: Average score is 250 for a three game series.

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A: To solve the following problem

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Q: A company has determined that when x hundred dulcimers are​ built, the average cost per dulcimer can…

A: The average cost per duclimer  can be estimated by the following function…

Q: Among all pairs of numbers (x, y) such that 2x+ y= 19, find the pair for which the sum of squares, x…

A: Given 2x+y=19y=19-2x Sum of squares, S=x2+y2=x2+19-2x2=x2+192+4x2-76x

Q: 1. After an aggressive marketing campaign in the local community, Lumyn Electronics discovered that…

A: The total cost in a month, C is given by the function:C = 25n2 - 1,500n + 25,000 where n represents…

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 2. y= 4x -432x…

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Q: Given the equation  5x2 = 6x + 18 determine: The minimum value of y

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Q: A local travel agent has been authorized to sell three new vacation packages for a major airline .…

A: Given x1 is the number of packages sold of type1 (800$) Given x2 is the number of packages sold of…

Q: A basic cellular package costs $20 per month for 60 minutes of calling, with an additional charge of…

A: At first we have to make the equation from the condition and then solve it to get the answer.

Q: An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store…

A: Given that: Cost of chair = $150Cost of table=$400Maximum furnitures to be sold daily = 30Minimum…

Q: Amy is comparing two rate plans for cell phones. Plan A charges $0.15 per minute with no monthly…

A: Let Amy use x minutes per month on her cell phone.

Q: Show complete and detailed solution. x2 –x-12 Maximum point of y = x+5

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Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

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Q: 5. Pierre Rabbit likes to play in the backyard, but sometimes he hops away and gets lost. Pierre…

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Q: The Minimum point of y = 8x+4 (x-2)²

A: Use a graphing utility to plot the function. Use the utility to determine the minimum point.

Q: A homeowner wants to build, along his driveway, a garden surrounded by a fence. If the garden is to…

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Q: Find the absolute minimum value of the fx)=4-x2, -35XS1 -2 o -3 . 1.

A: As the coefficient of x2 is negative so the minimum value of function exists at either end of the…

Q: An energy-drink manufacturer has a daily production cost of ? = 70,000 − 120? + 0.055?2, where C is…

A: The cost function is C(x)=70000-120x+0.055x2, where C is the total cost (in dollars) and x is the…

Q: farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. She…

A: A farmer finds that if she plants 75 trees per acre, each tree will yield 30 bushels of fruit. Let x…

Q: An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is…

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Q: Determine whether h(x) = -6x² + 7x + 3 has a minimum value or a maximum value, and then find the…

A: Consider the equation  h(x)=−6x2+7x+3

Q: 1. Solve the difference x²-2x-8 <0. 2. Calculate the minimum distance from the origo to the line y =…

A: Introduction: When the product of two real quantities is positive, either both of them are positive…

Q: manufacturer estimates that the cost (C) of production of (x) units of a certain item is ? = 40? −…

A: Given query is to find the production level for minimum cost.

Q: The sum of two numbers is k. Find the minimum value of the sum of their cubes.

A: Answer and explanation is given below...

Q: If 100x units of a particular commodity are demanded when p dollars is the price per unit, x^2 + p^2…

A: Consider the provided information, Suppose that the x is number of units and p is the price then the…

Q: A contractor orders, 1700 bricks. Enterr and solve and absolute-value equation to find the maximum…

A: Given Data: The company guarantees to fill a contractor’s order with an accuracy of A = 5% The order…

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Q: The policy of the Broadway Pawnshop is to lend up to 35% of the value of a borrower's collateral.…

A: First calculate the total value of the collateral. It is calculated by adding the prices of the…

Q: Among all pairs of numbers (x,y) such that 3x+y=8 , find the pair for which the sum of squares,…

A: Given condition,           3x + y = 8                     y  = 8 -3x             —1Function to be…

Q: The owner of an apartment tower rents out each of her 250 apartments for the sum of $300 per month.…

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Q: A telephone company needs to lay cable from one of its owners to a small island that is offshore. It…

A: let number of miles cable lay on land = x      number of miles cable lay through water = y   cost…

Q: The sum of the ages of Mylyn and Rhandale is less than or equal to 67. Mylyn is 11 years younger…

A: Topic:- algebra

Q: A piece of wire 40 cm long is to be cut into two pieces. One piece will be bent to form a circle,…

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Q: In planning a restaurant, it is estimated that a daily profit of $6 per seat will be made if the…

A: Let x be the number of seats that is beyond 50 seats, Then the daily profit per seat is decreased by…

Q: The profit for a product is given by P = 1600 – 100x + x² , where x is the number of units produced…

A: P = 1600-100x +x2a) for minimum profit dPdx =0dPdx= -100+2x = 0        dPdx&lt;0 till   x = 50⇒x =…

Q: The Minimum point of y = 3x+6

A: Find out the minimum point of the function.

Q: 12. The sum of two numbers is 40. Find the numbers if the sum of their squares is a minimum.

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Q: Show detailed solution. x² +x-12 Minimum point of y = x² -4

A: Given: y=x2+x-12x2-4

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A: Given information- We have given that a student earned 55 credits and 1.80 GPA. Minimum GPA needed t…

Q: A management company is going to build a new apartment complex. They know that if the complex…

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Q: Find the absolute minimum value of the fx)=\x-5 45x 57

A: We need to find absolute minimum of absolute value function so we check valve of f(x) on boundary…

Q: 2. In planning a restaurant, it is estimated that a profit of $8 per seat will be made if the number…

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Q: Your school has contracted a choir group to perform at the school. The school has guaranteed an…

A: Let x be the number of students and y be the number of nonstudents who attended the choir.

Q: The number of photo copies distributed is given by C = 50t² - 200t + 10000, where t is in years.…

A: Here, C=50t2-200t+10,000