Example 2.110 We would like to build a rectangular package whose base is a rectangular whose length is 3 times the size of the width and holds 50 cubic feet. The material to make the top and base of the box costs $ 10 per square foot, and the material to make the sides costs $ 6 per square foot. Find the dimensions of the cheapest box.

Q: Apply Polya’s Strategy to solve the following problem An investor bought 20 shares of stock for a…

A: Given that   investor bought 20 shares of stock for a total cost of $1200 and then sold all the…

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Q: A real estate investor bought a house for $444,000. He estimated that houses in that area increase…

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Q: months from now? d) A production facility is capable of producing 60,000 widgets in a day and the…

A: Given data is: Cx=250,000+0.08x+200,000,000x To find how many widgets per day should they produce in…

Q: A rectangular box has its length and width doubled and its height tripled. The volume of the new box…

A: Volume = LBHL = LengthB = WidthH = Height

Q: 0.4=14-0.2x+x700.4=14+0.8x7028=14+0.8x0.8x=14x=17.5 liter The problem, as typed out above, is hard…

A: Solution

Q: Part 2 of 2 (b) A prison sentence is less than 13 years. P(X<13)=|| %3D

A: We have to find out answer of given question....

Q: ACTIVITY 3 Analyze the following situation. 1. Anna Manalastas went to Puregold and buy ice cream…

A: Given that:                   1. Anna bought ice cream of 149 pesos, milk for 95 pesos and cupcake…

Q: most). Analysis of trade Without trade. P = $30,000, Q = 400 In world markets. Pw = $15,000 P Under…

A: Given  A graph relating price and demand of plasma TVs.we need to find import and export value and…

Q: To expand its clothing line, a small corporation borrowed $775,000 from three different lenders. The…

A: Here I am attaching image so that you understand each and every step.

Q: You are constructing a closed box whose length, I, is three times its width, w, as indicated in the…

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Q: You invest in bonds yielding an interest rate of 2.2 percent, utility stock yielding an interest…

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Q: How do I do problems like these? This is an examples question.

A: we have to find the value of x

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A: Given: The bread costs $1 per loaf, the meat costs $4 per pound, the cheese costs $3 per pound. The…

Q: Suppose C = 45 + 0.5t and L = 9 + 2.5t represent the population (in thousands) of two cities,…

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Q: 1) Read and understand the following optimization word problem. A supermarket employee wants to…

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Q: Anit can do a piece of work in 40 days, but Bhuvesh can do the same work in 10 days less, than Anit,…

A: Number of days Amit takes to do work =40 days Number of days Bhuvesh takes to do work = 40-10= 30…

Q: 29. Agriculture. A commercial cherry grower estimates from past records that if 30 trees are planted…

A: A commercial cherry grower estimates from the past records that if 30 trees are planted per acre,…

Q: You are at the store, and are trying to remember how much bread, meat, and cheese you were supposed…

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A: Consider the given figure, it is observed that the tasks B and C are parallel activities. It is…

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Q: 22 The cost of producing x units of a product is described by C(x) = 100 + 40x. What is the total…

A: Given C(x) = 100 + 40x

Q: 1:31 1 A deltamath.com A paper company needs to ship paper to a large printing business. The paper…

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Q: You are the city planner in charge of running a high-efficiency power line from a power station to a…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: III. Solve the following problems. 1. A manufacturer of tin boxes wishes to make open boxes from…

A: A manufacturer of tin boxes wishes to make open boxes from pieces of tin withdimensions 8 in. by 15…

Q: The area of parking lot is 300 square meters. A bicycle requires 3 square meters. A bus requires 9…

A: SOLUTION-

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A: The farm yields 46 bushels of apple per tree when 24 trees planted per acre 1 bushel yield is…

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Q: Question 6 of 8 The $392,000 yearly rent of a four-story building is to be expensed to the four…

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Q: Use the linear approximation given to answer the following question.  If you travel one mile in 59…

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Q: A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large…

A: Note: Since you have posted multiple questions and we are allowed to solve only one, as per the…

Q: Biologists stock a lake with 400 fish and estimated the carrying capacity (the maximal population…

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Q: . A man invested part of P20,000 at 18% and the rest at 16%. The annual income from 16% investment…

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Q: Question 7 < Maricopa's Success scholarship fund receives a gift of $190000. The money is invested…

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Q: 1) Paul had a raised, rectangular garden for tomato plants. Last spring he wanted to plant twice as…

A: Definition used -                      Area of a rectangle = length ×width…

Q: 1. Show & Sell can advertise its products on local radio and television (TV). The advertising budget…

A: according to question, we have to advertise on radio at least twice as much as on TV. let number of…

Q: 1) Paul had a raised, rectangular garden for tomato plants. Last spring he wanted to plant twice as…

A: Solution 1) Let the dimension of rectangular garden be a X b Let previous year x plants were planted…

Q: A person invested ​$69006900 for 1​ year, part at 88​%, part at 99​%, and the remainder at 1515​%.…

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Q: EXAMPLE 6 A Distance-Speed-Time Problem A jet flew from New York to Los Angeles, a distance of 4200…

A: Distance between New York to Los Angeles is 4200 km. Total time taken on trip is 13 hours. Let the…

Q: Attendance 0.84 0.84 0.84 0.80 The number of students who attended in the first group was The number…

A: The number of students in first group is 400.

Q: 12. A Macon, Georgia, peach orchard farmer now has 20 trees per acre. Each tree produces, on the…

A: The yield is calculated by multiplying the number of peaches per tree and number of trees.

Q: 4. There is a rectangular piece of metal with two squares punched out of it. The width of the…

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Q: A company produces wooden tables. The company has fixed costs of $2100, and it costs an additional…

A: fixed cost=$2100additional cost per table=$40

Q: Section 2.3 #23: Paul has $20,000 to invest. He invests part of his money 8% and part at 12%. How…

A: We can find the required as below

Q: A fence is to be built to enclose a rectangular area of 210 square feet. The fence along three sides…

A: Let the length of the rectangular fence be x and breadth be y. So, the area of the fence will be…

Q: A farmer has 1,190 acres of land on which he grows corn, wheat and soybeans. t costs $45 per acre to…

A: Let x, y, and z are the amount of acres that is allocated to grow corn, wheat, and soybeans…

Q: 3. The diagram below shows a company's current packaging of its plant food. -7 cm 10 cm The company…

A: Given: Original Radius of cylinder(r)=7cm Original Height of cylinder(h)=10cm New Radius of…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.