62. Coal Projections The rate of spending on coal (in millions of dollars per year) is projected for the years 2020 through 2030 to be approximately f(t) = (1125t + 40,500)e02t (0

Q: 4. Suppose a company wants to introduce a new machine that will produce a rate of annual savings (in…

A: It is given that annual cost is C'x=x2+65x and annual savings is S'x=212-x2. (a) Suppose P'(x) is…

Q: 20. A store finds that its sales revenue changes at a rate given by S'(x)=-3x² +300x dollars per…

A:

Q: I. In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: 2. If the investment equation is I(t) = 4.8Vt²then what is the total capital after 2 years. What is…

A: (2) given investment equation I=4.8t23 claim- what is the total capital after 2 years and what is…

Q: a. The current ratio (assets/liabilities) of company X is 3.2. Given that the current assets are…

A:

Q: 3. The marginal cost of producing x tablet computers is C'(x) = 120 – 0.06x + 0.00001a? (a) What is…

A: We have given the marginal cost of producing x tablet computers is C'(x)=120-0.06x+0.00001x2

Q: The following difference equation describes a simple model of a certain economy, where Yk is the…

A:

Q: 2. A company manufactures USB drives. The daily cost in dollars of producing x USB drives is given…

A:

Q: 13. The marginal profit for the new X-99 pogo stick is P'(x) = -0.3x + 100 where x is the number of…

A:

Q: 3. A toy manufacturer has the following cost function: C(x) = 0.1x3 – 2x? + 10000 when x toys are…

A: Given:

Q: 2 pose a company has fixed costs of $26,000 and variable cost per unit of x + 444 dollars, where x…

A: Given that  Fixed cost and variable cost  Selling price also given  To find the breakeven point…

Q: Audubon Society at Enormous State University (ESU) is planning its annual fund-raising "Eatathon."…

A: We will use derivative to find marginal profit / revenue

Q: 9. The marginal cost of producing a tablet computers is C'(x)= 1200.06x +0.00001.x² (a) What is the…

A: The marginal cost of producing 'x' tablet computers is C'x=120-0.06x+0.00001x2 a To determine the…

Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is…

A:

Q: 6. The production costs, in dollars, per month of producing x widgets is given by, 8, 000, 000 C (x)…

A: The given cost function,C(x)=10,000+14x-8,000,000x2

Q: Q.3: The maintenance cost and resale value per year of a machine whose purchase price is €. 8, 000…

A: Q.3: Given information : Purchase price = P =€ 8,000 Years 1 2 3 4 5 6 7 8 Maintenance Cost 950…

Q: 19) Suppose that the population in some state in 2010 was 32 percentage rate of continuous growth is…

A:

Q: Example 2.17. Gasoline is to be stocked in a bulk tank once at the beginning of each week and then…

A:

Q: 7. The table below gives the power consumption in megawatts (MW) in San Diego County from midnight…

A: The quantity of energy utilized per unit of time is referred to as power consumption. In digital…

Q: 2. A firm in a competitive market must sell its product for $46 per unit. The total cost function…

A: Given cost function C(x)=100+30x+110x2 We need to find revenue function R(x) The product is sold for…

Q: 6. Suppose that for a certain city the cost C, in dollars, of obtaining drinking water that 120,000…

A: a Given C=120,000p-1200 …1 As we have to find the rate of change of cost w.r.t p then  by…

Q: The demand equation for handarafted violins by a certain violin maker can be approximated by p= 21…

A:

Q: Find the​ consumers' surplus at a price level of p=​$150 for the​ price-demand equation below.…

A: Recall:  Consumer surplus=∫0x(D(x)-p)dx Given, p=​$150 p=​D(x)=300−0.05x

Q: (3) The demand function for a tablet is given by the model p= 200-16x where p is measured tablet and…

A: Given that, The demand function for a tablet is given by the model p=200-16x2 where p is measured in…

Q: He-Ne helium-neon laser has a wavelength of 633 nm and an effective medium length of 14 cm. It…

A:

Q: 2. The municipality of Charlesburg records an average daily water consumption of 998 L per household…

A: The given line for best fit is: C=-0.358n+996. Where, C is the "average consumption per household"…

Q: 16. Suppose that for a company the income function (in dollars) is given by R(x) = -012x^3 + 1,296x…

A:

Q: 6. Suppose a student carrying a flu virus returns to an isolated college campus of 1000 students. It…

A: To write the initial value problem associated with the scenario and also to solve the IVP and to…

Q: 4. A principal of 250 OR is deposited in an account that pays 0.064 interest compounded yearly.…

A:

Q: 8. The production costs, in dollars, per week of producing x widgets is given by, 56, 000 C (x) =…

A:

Q: 6.12. Suppose the production function is given by the following equation (where a and b are positive…

A: Given the production function, Q=FL,K=aL+bK The marginal productivity of labor is given by,…

Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters…

A: Given,          An electric scooter manufacturer estimates that the cost C  in dollars  of producing…

Q: 1. 4 20. The graph of a piecewise-linear function f. for -1<xS4. is shown above. What is the value…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: a) The real estate prices within one state have been increasing at an average rate of 8% per year.…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: If a quarterly seasonal index is 1.16, it implies that a. the quarter's sales are 1.6% of the…

A:

Q: 3) An air conditioning company determines that the marginal cost, in dollars, for producing the xth…

A:

Q: 5. At a sunglass manufacturing company, the estimated average cost function for producing a new line…

A:

Q: In this problem, p is in dollars and x is the number of units. Find the producer's surplus at…

A:

Q: 9. The marginal cost of producing a tablet computers is C'(x)=1200.06x +0.000012² (a) What is the…

A: Concept: We have given the marginal cost in form of the first derivative Integrating it we will get…

Q: 8. In Equation 2, holding all other factors constant, when Total_Assets increases by 1%, what is the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: this problem, p is in dollars and x is the number of units. Find the producer's surplus at market…

A:

Q: 22 + 0.49x² . Find the producer's surplus if th The supply for a particular item is given by the…

A:

Q: d) Interpret the meanings of the marginal productivities from part (c). O A. Supposing that labor is…

A: A sport company has the following production functionfor a certain product,where p is the number of…

Q: 2. The Price-Demand relationship for a certain commodity is given by x +6xp+2p² =2100. When the…

A: The explicit equation of price, p and demand, x is x2+6xp+2p2=2100. (a) Differentiate the equation…

Q: A hat manufacturer is planning to expand its workforce. It estimates that the number of hats…

A:

Q: 3) The marginal price p'(x) at a supply level of x tubes per week for a certain brand of toothpaste…

A:

Q: The alternative minimum tax was created in 1969 to prevent the very wealthy from using creative…

A:

Q: 18 A manufacturers average-cost function is given by c = + 8. At what level should production be…

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.