If lnx+ln(x−4)=ln(7x)lnx+ln(x-4)=ln(7x), then x=x=

Q: How can the mortality force be changed for the share of newborns who will survive the first year…

A: For yearly compounded,        P=P0 1+rnt   where,        n=1        and r=rate of changed…

Q: The average reading score on certain tests is given by y=0.153x+255.38 where x is the number of…

A: Solution:-     Given,            y=0.153x+255.38    where,           X= No. fo year past 1970…

Q: Company X has a fixed expenses of 1.38M monthly and each units is produced at ₱20. Company Y has a…

A: Total cost is equal to the sum of fixed expenses and variable cost. Variable cost is equal to the…

Q: The length of the rectangle is decreasing at a rate of 5 centimeters per second, and its width is…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $45 thousand…

A:

Q: How would this problem be set up to solve using separation of variables?

A: Separation of variable: A first-order differential equation of the form f(x)dx=f(y)dy is known as…

Q: the countries of russia  and  armenia each had  populations of 5.5 million in the  year…

A: Given Information :  The countries of Russia  and  Armenia each had  populations of 5.5 million in…

Q: Suppose the quantity demanded weekly of the Super Titan radial tires is related to its unit price by…

A: Rate of change of x

Q: .Suppose that a company produced and sold two types of products. If they sold monthly x, items of…

A: To determine the income if a company sold 32000 items of the first product and 55000 items of the…

Q: A population of mosquitoes increases at a daily rate of 1/2 times the current population. You can…

A: Given that A population of mosquitoes increases at a daily rate of 1/2 times the current population.…

Q: Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a…

A:

Q: Suppose that the daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the…

A: Given : The daily cost C of manufacturing bicycles is given by C(x) = 80x + 5000. Then the average…

Q: y = 3+x²+x+1

A: Use the formula below while performing the differentiation .

Q: Suppose the average yearly salary of an individual whose final degree is a​ master's is ​$50…

A: Let the average salary of an individual whose final degree is master's be x and let the average…

Q: family has a phone plan that includes 6 GB of data per month. 15 days into a 30-day month, the…

A: Given: 15 days into a 30-day month, the family has used 2 GB. To find: At that rate, how many GB…

Q: In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in…

A: Given,The rate of growth of vehicles =15.5 %And rate of growth of population =9.7 %Assume that after…

Q: Suppose that you currently own a clothes dryer that costs ​$30 per month to operate. A new efficient…

A: given that , cost of cloth dryer = $ 30 per month cost of new efficient dryer =$ 305 operating cost…

Q: in 2013, countries U and O have a population of about 20.5 million. However, it was recently…

A: Given that in 2013, countries U and O have a population of about P0=20.5 million.

Q: A man weighing 600 kg has been losing 3.12% of his weight each month with some heavy exercises and…

A: To determine the weight of man after 20 months.

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A:

Q: A small newspaper company is downsizing and has lost employees at a steady rate. Twelve months ago…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: Suppose the average yearly salary of an individual whose final degree is a master's is $56 thousand…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: When doctors prescribe medicine, they must consider how much the drug's effectiveness will descrease…

A: exponential decay can be represent as below : where, N0=initial calue = 250 mgr= decay factor =…

Q: Suppose that a company has fixed costs of -0 ---:-- ---0 400 dollars and variable costs of 0.7x +…

A:

Q: The number of days a barrel of water lasts varies inversely with the people who consume it. If a…

A:

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's…

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: It is estimated that i months from now, the population of a certain town will be changing at the…

A:

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's…

A: Given: Juan's body metabolizes caffeine at a rate of 14.2% per hour. Also, Juan consumes a cup of…

Q: A firm can produce only 2500 units per month. The monthly total cost is given by C(x) = 400 + 200x…

A:

Q: In a hypothetical city, there is a population of 200,000 people.  During the year 2000, there were…

A: Given information- Population of the city = 200,000 Number of deaths from all causes = 1,000 New…

Q: Macros Chemical Company is trying produce a test batch of a new organic fertilizer made from a…

A: In this question,  we have to find the composition of chemical required to produce 125 liters of…

Q: With fixed costs of Ksh. 400,000, a firm has average total costs of Ksh. 3,000 and average variable…

A: Average total cost= Average fixed cost + Average variable cost

Q: If in the year 2000 there were 1.26 million metric tons of beef produced and demand is growing at a…

A:

Q: Solve for x 2500x4-3924x3+4739.8x2-10359.4x-5076=0

A:

Q: e 60x1 + 70x2 Subject to: 2x1 + x2

A: Given,   Maximize           60x1+70x2Subject to coinstraint:            2x1+x2≤300…

Q: One method for developing a mine containing an estimated 100,000 tons of ore will result in the…

A: Given Total ore in the mine=100000

Q: A drug used to relieve anxiety and nervousness has a​ half-life of 13 hours. If a doctor prescribes…

A: Given that:                        Half life of drug = 13 hrsOne 2.2 mg tablet every 21 hr

Q: The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the area of the…

A: area = altitude*base289 = 9.5*base2base = 18.73 cm

Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: x is the number of units produced and sold. The Profit function is given by P = 150x − x^2/500−…

Q: A constant number of files are processed daily at Mehenti Carobar (MC) Pvt. Ltd. Three clerks can do…

A: Let, head clerk takes x hours, senior clerk takes x+2 hours and junior clerk takes x+2+6=x+8 hours…

Q: The average reading score on certain tests is given by y=0.152x + 255.33, where x is the number of…

A:

Q: Suppose the average yearly salary of an individual whose final degree is a masters is $55 thousand…

A: This question can be solved using the concept of linear equation in two variables.

Q: In the regression model Y = α+ βx + ε the change in Y for a two units increase in x: will always be…

A: Given regression model Y = α+ βx + ε If x increases by 1 unit, Y increases by β.  If x increases by…

Q: When area of a square is increasing twice as fast as its diagonals, what is the length of a side of…

A:

Q: A takes 6 days less than the time taken by B to finish a piece of work . If both A and B together…

A:

Q: Solve for x 2ln (x-5)= ln (x+7)+ln6

A:

Q: A critical communications relay has a constant failure rate of 0.1 per day. Once it has failed,…

A: Given that a critical communications relay has a constant failure rate of 0.1 per day. Once it has…

Q: Max Z = 3x1 + 182x2 %3D Subject to 9x +5x를 S 72

A: In this question, we use the KKT condition to solve the NLP. MaxZ=3x1+182x2subject…

Q: The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be…

A:

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.