Investment The interest earned at 9% simple interestis directly proportional to the number of years themoney is invested. If the interest is $4903.65 in 5years, in how many years will the interest earned at9% be $7845.84?

Q: A cruise ship can sail 26 mph in calm water. Sailing with the Gulf Stream, the ship can sail 160 mi…

A: Given,          A cruise ship can sail 26 mph in calm water. Sailing with the Gulf Stream, the ship…

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 310…

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Q: You set your watch 3 seconds ahead, and it gains another 7 seconds every day. Write the equation…

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Q: A patient receives regular doses of 500 ml every 6 hours. After 6 hours 60 percent of the dose…

A: a) We have to find L , where L is the amount of medication levels off to. To find L, we have to use…

Q: 10,000 Web Hit: The equation w (x) = gives the total hits x days after the release of a 338(1.09)…

A:

Q: A passenger train leaves a train depot 2 h after a freight train leaves the same depot. The freight…

A:

Q: Determine whether the table represents a linear equation, exponential equation, or neither. X 1 12…

A:

Q: The time required to paint a particular house varies inversely with the number of painters. If it…

A: Inverse variation uses the formulay=kxIf it takes 7 hours for 9 painters to complete the paint…

Q: The speed of a boat in still water is 25 mph.  The jacksons traveled 70 mi down the woodser River in…

A: Given that,  The speed of a boat in still water is 25 mph The distance traveled by Jacksons to…

Q: The amount of skin covering a person's body (in square feet) depends on the person's height and…

A:

Q: A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70…

A: Use the relationship among time, distance and speed and solve the question.

Q: The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg…

A: The number of kilograms of water (w) in human body varies directly as the mass of the body (m);   w…

Q: The growth rate of a bacteria culture is proportional to the number of bacteria present. If a…

A: You first need to start with assuming the number of bacteria at any time t is N. Then use the…

Q: Determine whether the table represents a linear equation, exponential equation, or neither. 1 2 3 4…

A:

Q: The rate of growth of the giant bamboo species is proportional to its height. One week after a…

A: This question can be solved using the concept of differential equation.

Q: The cost of chocolates is directly proportional to the number of pounds. If 5lbs of chocolates cost…

A:

Q: Calories The amount of heat produced in the humanbody by burning protein is directly proportional to…

A: According to given data if in production of 32 calories heat 1 gram of protein is required then  for…

Q: Cigarette Use The percent of 12th graders who haveever used cigarettes for each of the years 2000…

A: The percent of 12th graders who have ever used cigarettes for each of the years 2000 through 2014…

Q: The number of kilograms of water in a human body varies directly as the mass of the body. An 87​-kg…

A:

Q: An object's weight on the moon is proportional to its weight on Earth. For example, an astronaut…

A: Given data: The given weight of a space-suit on Earth is We=360 pounds. The given weight of a…

Q: he​ brightness, or​ intensity, of starlight varies inversely as the square of its distance from…

A: The brightness,or intensity,of star light varies inversely as the squareof its distance from…

Q: Real Estate Inflation During a 5-year period ofconstant inflation, the value of a $100,000…

A: Real Estate Inflation During a 5-year period of constant inflation, the value of a $100,000 property…

Q: student studies by the light of a desk lamp. The intensity of the light, I, in lumens is inversely…

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Q: Body Weight The weight of a body varies inverselyas the square of its distance from the center of…

A: Given, "The weight of a body varies inversely as the square of its distance from the center of…

Q: The body mass index​ (BMI) is used to assess the relative amount of fat in a​ person's body. If w is…

A:

Q: The distance to stop a certain vehicle varies directly with the square of its speed. It takes 320…

A: If a is directly proportional to b then a∝b If a is inversely proportional to b then a∝1b To convert…

Q: changes save0 3. The amount of money that Becky earns at her job is directly proportional to the…

A: According to the question, we have to find the the number of hours required to earn 361 dollar if…

Q: A certain medicine is given in an amount proportional to a patient's body weight. Suppose a patient…

A: Proportionality equation

Q: Real Estate Inflation During a 5-year period of constant inflation, the value of a $100,000 property…

A:

Q: . A bacteria culture initially contains 100 cells and grows at arate proportional to its size. After…

A: Given, A bacteria culture initially contains 100 cells and grows at arate proportional to its size.…

Q: The yearly profits of a company are $25,000. The profits have been decreasing by 6% per year

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Q: The number of hours required to build a fence is inversely proportional to the number of people…

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Q: A company's revenue from selling å units of an item is given as R. = 1500x – x². If sales are…

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Q: A patient receives regular doses of 500 ml every 3 hours. After 3 hours 60 percent of the dose…

A: Given data is : a=500 mlp=60%=0.60

Q: Investment The simple interest earned in 9 yearsis directly proportional to the interest rate r. If…

A:

Q: he amount of skin covering a person's body (in square feet) depends on the person's height and…

A:

Q: Real Estate Inflation During a 10-year period ofconstant inflation, the value of a $200,000…

A: Given:

Q: Flying against the wind, an airplane travels  3400  kilometers in  5  hours. Flying with the…

A:

Q: The side of a square is growing at the rate of 5 centimeters per second . Find the growth rate of…

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Q: The profit (P) realized by a company varies directly as the number of products it sells (s). If a…

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Q: The weight of an object above the surface of the Earth varies inversely with the square of the…

A:

Q: The number of hours required to build a fence is inversely proportional to the number of people…

A:

Q: A number of kilograms of water in a human body varies dierctly as the mass of the body.  A 96kg…

A:

Q: The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed…

A: It is given that time∝1speed Let t = time s=speed t∝1st=ks

Q: The number of kilograms of water in a human body varies directly as the mass of the body. An 84-kg…

A: Let w be the water and m be the mass of the human body. Given that the number of kilograms of water…

Q: For Exercise, use a variation model to solve for the unknown value. The strength of a wooden beam…

A:

Q: A patient receives regular doses of 100 ml every 12 hours. After 12 hours 30 percent of the dose…

A: To calculate L, the amount that the medication levels off to and amount of medication in the…

Q: Solve the variation problem: The time required to assemble computers varies directly as the number…

A: Given:Let x be a 30 computers can be assembledLet y be a 6 workersLet z be a 10 hours

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.