Spread of an Epidemic: During a flu epidemic, the number of children in the Woodbridge Community School System who contracted influenza after t days was given by                                             Q(t)= 1000/1+199e-0.8t How many children were stricken by the flu after the first day? How many children had the flu after 10 days?

Q: Beaker A and beaker B each contain some water. Initially, beaker A contains 4 times as much water as…

A: To solve this problem, we have to formulate equations based on the data given in the question in…

Q: The revenue, in thousands of dollars, from selling x units of an item is given by R(x)= -x° +27x…

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Q: Revenue The revenue from the sale of a productis given by R = 250x - 5x2 - x3. If the sale of5 units…

A: R=250x-5x2-x3 The sale of 5 units gives a total revenue of $1000. Put R=1000 in R=250x-5x2-x3, we…

Q: A business has a gross income of $1.32 million. It has promised to pay the CEO a bonus of 20% of net…

A: Value of T and B is calculated as, T=1.1B=1.1 The amount of bonus paid is 0.2B The amount of Bonus…

Q: Manufacturer's Profit If a manufacturer sells x units of a cer- tain product, revenue R and cost C…

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Q: # of Aqua-Spa hot tubs to produce = # of Hydro-Lux hot tubs to produce X 350x₁ + 300x₂ x₁ + x₂ ≤ 200…

A: # Solving by Simplex The given LPP is Max Z= 350x1+300x2 x1+x2≤2009x1+6x2≤156612x1+16x2≤2880x1,x2≥0…

Q: A farmer will use up to 250 square meters for planting flowers and vegetables. She wants the area…

A: Here we have given some conditions between the area used for flowers and vegetables and we have to…

Q: Profit The revenue from sales of x units of a productis given by R(x) = 600x - 0.01x2, and the cost…

A: The revenue from sales of x units of a product is given by R(x) = 600x - 0.01x2And the cost of…

Q: Use Separation of Variables to find the general solution. V1 - x²y = 3xy (Express numbers in exact…

A: Given : Differential equation 1-x2y' = 3xy   To find : General solution of the given differential…

Q: A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer…

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Q: Revenue Suppose that the manufacturer of a gas clothesdryer has found that when the unit price is p…

A: Given- Rp=-4p2+4000p To Find- The price at which revenue is zero.

Q: A rectangular field is to be enclosed with a fence. One side of the field is against an existing…

A: Given :             The rectangular field is enclosed with fences. One side of the field has…

Q: Method of undetermined coefficients y " -y = 3e"

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Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.3x2 +…

A: Given that, Px=-0.3x2+1230x-120000

Q: For a certain company, the cost for producing a items is 40r +300 and the revenue for selling x…

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Q: What is this problem telling us to solve? Please provide an explanation for each step.

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Q: 6x2 -4x 1. Find the first-order derives: I. y II. y = (2x3 + 7x – 14)5 %3D 4x2-8x+5

A: To find the first-order derivative of the given function using the quotient rule and chain rule…

Q: x3 - 3x²y = C

A: Given function x3-3x2y=Cdifferentiate with respective xddx(x3-3x2y)=ddxC3x2-3(x2dydx+y(2x))=0…

Q: ese coconuts. Nȳ is hard to get in this case because N is hard to count.  How can the total amount…

A: extract grams (x)  original grams (y) 1 73 100 2 68 118 3 91 141 4 114 168 5 73 127 6…

Q: Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x)…

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Q: pidemiological study of the spread of a certain influenza strain that hit a small school population…

A: Given:- The total number of students, p(t) who contracted the flu t days after it broke out is given…

Q: 92. Profit A wholesaler sells graphing calculators. For an order of x calculators his total cost in…

A: Given: C=50+30x-0.1x2 R=50x-0.05x2 To find: (a) P on an order of x calculators (b)Profit P on order…

Q: Practice question 29

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Q: II. Verification of a solution 6. Show that y = x² is a solution to x = = 2x xp

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Q: tal fitness gym had 125 members in 2017 When the manager analyzed the growth in membership she found…

A: Total number of gym members in 2017 P0 = 125 annual increament = 5%

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Q: Find the x and y value using elimination method -4x-2y=-12 4x+8y=-24

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Q: A gardener will use up to 240square feet for planting flowers and vegetables. He wants the area used…

A: Let x denote the area (in square feet) used for flowers. Let y denote the area (in square feet)…

Q: . Maximizing Profit The monthly profit from producing and selling x units of a product is given by…

A: p(x)=-0.01x2+62x-12000

Q: wo groups of hundred people each were taken for testing the use of a vaccine 15% contracted the…

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Q: Profit The monthly profit from producing and sellingx units of a product is given byP(x) = -0.01x2 +…

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Q: Maximum Profit The profit P (in dollars) generated by sell- ing x units of a certain commodity is…

A: P(x)=-1500+12x-0.0004x2Formuladdxxn=n xn-1

Q: 60x + 4500 Suppose the daily cost C of manufacturing x bicycles is given by C(x) = 60x + 4500. Now…

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Q: Maximum Profit The profit P (in dollars) generated by selling x units of a certain commodity is…

A: Given: P(x)=−1500+12x−0.0004x2

Q: For a certain company, the cost for producing x items is 40x + 300 and the revenue for selling x…

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Q: 1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the…

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Q: For a certain company, the cost for producing æ items is 50x + 300 and the revenue for selling |x…

A: Given Cost price (CP) =50x+300 Selling price (SP) = 90x-0.5x2 (a) Profit is given by P = SP-CP=…

Q: Profit A wholesaler sells graphing calculators. For an orderof x calculators his total cost in…

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Q: An open-top box is to be constructed from a sheet of tin that measures 36inches by 22 inches by…

A: Let's find.

Q: Profit The revenue from sales of x units of a productis given by R(x) = 200x - 0.01x2, and the cost…

A: The revenue function is given by R(x)=200x-0.01x2 Differentiating R(x) with respect to x, the…

Q: Maximizing profit Suppose you own a tour bus and you book groups of 20 to 70 people for a day tour.…

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Q: Numerical Response #2: Bonnie is investigating the polynomial function P(x) = ax + bx³ + cx² +dx+e…

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Q: For a certain company, the cost for producing a items is 40x +300 and the revenue for selling z…

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Q: Profit from Sale of Smartphones Apollo manufactures smartphones at a variable cost of V(x) =…

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Q: F=-GMm solve for G

A: Given,

Q: t is the degree

A: Given: The polynomial equation x-1x-33=0 The degree of given polynomial equation can be found out…

Q: 6. Advertising revenue for newspapers in the United States for the years 1980 through 1999 is…

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Q: Q2: y=(-32+x) Q3: 4ln(2x+3)=11 Q3: find Domain and Range x2 + 2x - 15

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Q: 4x+V1-2x S(x) = find the domain only. V9-x2

A: Given function, fx=4x+1-2x9-x2