A basic cell package costs $25/month for 80 minutes of calling, with an additional charge of $0.25/minute beyond that time. The cost formula would be C = $25 + 0.25(z – 80). If you have to keep your bill no higher than $50, what is the maximum calling minutes vou can use?

Q: To increase her endurance, a speed skater decides to include running as part of her workout. During…

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Q: Phillip, the proprietor of a vineyard, estimates that the first 10700 bottles of wine produced this…

A: Given that the profit for the first 10,7000 bottles fetches $6 / bottle. After the number of bottles…

Q: Yolanda is shopping for a used car in a city where the taxi is 8% and the title and licensed fee is…

A: Given:  Tax=8% Title and licensed fee=$280 The maximum money she can spend=$8164 To determine: The…

Q: A piece of letter-sized paper is 8 inches wide and 11 inches long. Suppose you want to cut strips of…

A: For letter-sized paper: Width=812 inchesLength=11 inches   For strip: Width=58 inchesLength=11…

Q: the length of the rectangle is 4m more than its width. if its perimeter must be at least 40m…

A: We have to solve given problem:

Q: The St. Mary's math club held a raffle for a new iPad. Help them to answer the following…

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Q: The rising college costs from 2000 through 2014 can be modeled by the formula T = 394x + 3123, where…

A: Given:                         T= 394x +3123   To determine:                           The value of…

Q: Jane is 2 mi offshore in a boat and wishes to reach a coastal village 6 mi down a straight shoreline…

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Q: Amy is 2 miles offshore in a boat and wishes to reach a coastal village 6 miles down a straight…

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Q: Another garden is to be created, but it is to have a paved path around the edge. The garden has to…

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Q: Heather has divided ​$5500 between two​ investments, one paying 8​%, the other paying 6​%. If the…

A:

Q: For seling x cakes, a baker will make b(x) = x- 5x-150 hundreds of dollars in revenue. Determine the…

A: Solve for x2–5x−150 > 0 in order to make a profit.

Q: At the end of spring break, Lucy left the beach and drove back towards home, driving at a rate of 40…

A: Speed of Lucy = 40 mph Speed of Lucy's Friend = 50 mph

Q: After a hurricane, repairs to a roof will cost $2400 for materials and $80/hr in labor.a. Write a…

A: a)  The repairs to a roof will cost $2400 for materials and $80/hr in labor. Consider the number of…

Q: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

A: A commercial cherry grower estimates from past records that if 25 trees are planted per​ acre, then…

Q: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

A: A farmer finds that if she plants 80 trees per acre, each tree will yield 75 bushels of fruit. She…

Q: Bill and Brandon are downhill mountain-biking. Bill starts 500 feet ahead of Brandon and bikes at a…

A: Suppose, it will take t seconds for Brandon to catch up Bill So, at a rate of 42 feet/sec , Brandon…

Q: A natural gas company is laying an underground gas pipeline in a new area with a small lake that is…

A: Join the points A and B, then we obtain a right-angled triangle. Now using the Pythagoras theorem we…

Q: A ski resort can manufacture enough machine-made snow in 4 h to open its steepest run, whereas it…

A: The time taken for the ski resort to manufacture machine made snow is 4 hours.The time taken for the…

Q: We breathe about 15 times per minute, and a hummingbird flaps its wings about 3,000 times per…

A: It is given that human breaths about 15 times per minutes and a hummingbird flaps its wings about…

Q: You are going to enclose a rectangular garden by using an existing fence along one side of the…

A:

Q: A store purchased an item for $25 and planned to sell it for $43.75 so that their profit would be…

A: We have solve this question based on profit and loss.

Q: e a rectangular area of 120 square feet with a fence. One side of road, and fencing for that side…

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Q: A motor vehicle has a maximum efficiency of 32 mpg at a cruising speed of 40 mph. The efficiency…

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Q: A company has $56320 to spend on the development and promotion of a new product. The company…

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Q: A farmer wants to fence in 6000 m² of land in a rectangular field along a straight road. The fencing…

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Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular…

A: Find out the minimum cost of the pool.

Q: Stephanie is looking at apartments with 2 of her friends. They want the monthly rent to be no more…

A:

Q: Ricardo wants to cover this 5'' by 10'' by 8'' box with wrapping paper. What is the minimum number…

A: Given that Ricardo wants to cover this 5'' by 10'' by 8'' box with wrapping paper.

Q: Consider two consecutive conveyors carrying boxes each with a length of 1 foot. The speed of the…

A:

Q: Cindy has $70,000 to invest and requires an overall rate of return of 9%. Sheinvests her money in…

A: Let she puts $x in 8% account and puts $(70000-x) in 12% account.

Q: A rectangular building is to be built on a triangular corner lot with the perpendicular sides equal…

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides…

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Q: Zuki and Chandra took part in a race for a distance of 1.5 km. Zuki’s speed was 5 kmh-1 faster than…

A: total distance = 1.5 km  Let the speed of Chandra be x km/h therefore the speed of Zuki is x+5 km/h…

Q: Sam earns a base rate of £50.00 per day for four hours work. Any hours worked over four hours are at…

A:

Q: A worker’s wage depends on the number of hours he works. If his wage for 5 hours is ₱300, how much…

A: Wage

Q: The length of a rectangle is 7 m less than three times the width, and t area of the rectangle is 66…

A: Here 2 linear systems of equations get generated and 2 variables are present. From given…

Q: A company has identified that the revenue for a particular product is given by the equation R = -x3…

A: To find: The number of units need to be sold to obtain the maximum revenue. Given: The revenue is .…

Q: Ricardo wants to cover this 5" by 10" by 8" box with wrapping paper. What is the minimum number of…

A: Solution a: Surface area is s=2lb+2bh+2lh       (1) we have l=5'', b=10'', h=8'' From (1)…

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist…

Q: Rosa is planning to invest up to $40,000 in corporate or municipal bonds, or both. She must invest…

A: Consider the provided information, Rosa is planning to invest up to $40,000 in corporate or…

Q: A car rental package costs $70/week, with an additional charge of $0.15/mile beyond 200 miles. The…

A:

Q: The Pentagon Building in Arlington, VA is a regular pentagon with side lengths about 920 feet. The…

A:

Q: Find the numbers of units that must be sold to give zero revenue. Price is p=9000-0.1x2 Revenue is…

A: Consider the given revenue.

Q: Tyrone leaves city A on a moped traveling toward city B at 18 miles per hour. At the same time, Tina…

A:

Q: yle plans to invest $6000, part at 5% simple interest and the rest at 6% simple interest. What is…

A: Given that: Total money to be invested = $6000                   Minimum guaranteed return per year…

Q: The Pentagon Building in Arlington, VA is a regular pentagon with side lengths of about 920 feet.…

A: Given data is : Perimeter is 4600 feet Area is 1456250 sq feet. Scale is 1200

Q: Answer the following. Solve for two positive numbers whose product is 121 and whose sum is a…

A:

Q: The base of a triangle measures 40 inches minus twice the measure of its height. For what measure of…

A: Let h is the height of the triangle Then, according to question  base=40-2h Then…

Q: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore, wishes to reach to a…

A: Given: A man in a rowboat at P, 5 miles from the nearest point A on a straight shore,wishes to reach…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.