the amount of free space left on yout hard drive is now 50gb and is decreasing by 5gb per month.write a mathematical model for the situation.

Q: Two years ago, your orange orchard contained 70 trees and the yield per tree was 85 bags of oranges.…

A: Two years ago, your orange orchard contained 70 trees and the yield per tree was 85 bags of oranges.…

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A:

Q: A population grows logistically. There were 5 000 individuals, after 10 days their number arose to 8…

A:

Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

A: Let the population of Iraq at time t is:  y(t) Therefore: dydtα y

Q: Two years ago your orange orchard contained 70 trees, and the yield per tree was 70 bags of oranges.…

A: Two years ago your orange orchard contained 70 trees, and the yield per tree was 70 bags of oranges.…

Q: A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary…

A: Use compound interest formula to solve the problem

Q: An investment of 10,000,000 php has a revenue of x php that will increase of 10% every 2 years. With…

A: answer is in next step

Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the…

A: The given data is: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels…

Q: What does it mean when we say that a formula models real-world phenomena?

A:

Q: With U.S. Department of Health and Human Services data from 2002 and projected to 2024, the total…

A:

Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

A:

Q: The units produced for 2018 (100000) units and at 2019 (90000) units, the total wages and cost…

A: Given: Units produced in 2018 - 100000 Units produced in 2019 - 90000 To find: Pi 2018

Q: An engineer creates a model to predict the electric consumption of a household in summer in a day…

A: # consider a linear regression model  y=b0+b1*X  b0=23 hr  & b1=1.55 hr  then to find y at x=17…

Q: When a movie theater charges $12 for admission, there is an average attendance of 240 people per…

A: Given data;   The initial charge for a movie in a theater is x1=$12. The initial number of people…

Q: The formula that relates cost, revenue, and profit is ________.

A: Solution:- The formula that relates cost, revenue, and profit is , Profit=Revenue-Cost P=R-C

Q: An innovative rural public health program is reducing infant mortality in a certain West African…

A: For  the given  infant mortality at a rate of 8.3 % per year  Time for infant mortality to reduced…

Q: A car rental agency rents 220 cars per day at a rate of $20 per day. For each $1 increase in rate, 5…

A: Let x dollars be the increase in rate , then decrease in number of cars rented is 5x.  Then , the…

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: You can sell 40 cars per month at $20,000 per car, and the demand is increasing at a rate of 3 cars…

A:

Q: A local company is planning to manufacture and market a four-slice toaster. For this toaster, the…

A:

Q: Suppose that 50 students are able to raise $250 for a gift when each one contributes $5.…

A: An equation of single variable having degree 2 is called quadratic equation. It is in the form of…

Q: 4. Suppose Oceana wants to build 10 feet below the average waterline. What is the maximum amount of…

A:

Q: A chemical factory tank stores an amount of liquid. After it has started to drain, it has a given…

A: Solution

Q: The regression model tells us if it does not rain for the given day there is no amount removed in…

A: The regression model for this above data, Y=153.1755-6.32399*X if it doesn't rain a given day, X=0…

Q: A movie theater wants to determine the price per ticket that should be charged in order to maximize…

A:

Q: I have 3/4 of a liter of juice to share with friends.  Together, they drank 2/3 of the juice.  How…

A: Total amount of juice =34 ltrAmount of juice they drank=23 of total amount of juice

Q: A population is growing logistically, and its graph has an inflection point when the time is 5 years…

A:

Q: An ecologist estimates that the island has enough food to support a maximum population of 1000…

A: I have solved this question before, the actual question says that, an island is introduced with 200…

Q: Explain a general mathematical modeling to growth of Human population. And what will be the Iraq…

A:

Q: A car rental agency rents 200 cars per day at a rate of $30 per day. For each $1 increase in​ rate,…

A:

Q: How much variation in the level of sales can be accounted for by the level of costs?

A: Coefficient of determination is denoted by r2 and it explains how much % of variation in the…

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: The given data is: Rent is $500 per month A market survey suggests that, on average, one additional…

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Apartment complex contains 100 units  All units will be occupied if the rent is $900 per month if…

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

Q: A slightly different breed of Hippogriffs, living in the Rathlin Island—the northernmost point in…

A:

Q: You and I are both selling a steady 20 T-shirts per day. The price I am-getting for mny T-shirts is…

A:

Q: a car rental agency rents 200 cars per day at the rate of $40 per day. For each $1 increase in rate,…

A: The double derivative test is used to optimize (maximize or minimize) a function. Follow the steps…

Q: Two years ago your orange orchard contained 90 trees, and the yield per tree was 65 bags of oranges.…

A: Given, Two years ago your orange orchard contained 90 trees, and the yield per tree was 65 bags of…

Q: The monthly rent for the first house is $1, 190, and the Bainters can expect it to increase 1.7%…

A:

Q: The fixed costs incurred by a small genetics research lab are $200,000 per year. Variable costs are…

A: Given annual cost=$300,000  fixed cost=$200,000 variable cost=60%×300000=$180,000

Q: A hockey team plays in an area with a seating capacity of $15,000 spectators. With the ticket price…

A: To maximize the revenue we have to find the local maxima. There needs a small correction: average…

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: Use the model found above to answer this question. What is the estimated revenue of Amazon in 2049?…

A:

Q: The level of chemical pollution in a lake is 4.5 ppb (parts per billion). If the level increases by…

A:

Q: The variable costs on a new product will be $60 per unit and the fixed costs are estimated to be…

A: Consider the provide question, The break-even formula is given by, Let S = Selling price v =…

Q: A certain magical substance that is used to make solid magical spheres costs $500 per cubic foot.…

A: The solution of the problem is given in the next step.

Q: The price of a computer component is decreasing at a rate of 14​% per year. State whether this…

A:

Q: A company that manufactures compact discs has fixed monthly overhead costs of $60,000. Each disc…

A: Assume d be a number of discs produced and sold for a profit of at least $30,000 Profit = Income -…

Q: Show graphically and explain how large government budget deficits “crowd out” private investment

A: Government borrowing can reduce the financial capital available for private firms to invest in…

Q: The Metropolitan Company sells its latest product at a unit price of $2. Variable costs are…

A:

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.