1. There were 526 million Twitter users in 2008. The amount of users increased to 974 million Twitter users in the beginning of 2014. What was the rate of change of Twitter users from 2008 to 2014?

Q: 53. The rate of vibration of a string under constant tension varies inversely with the length of the…

A: lets say vibration per second =v length = l as per data v∝1lv1l1=v2l2

Q: 1. The length of the wax candle varies inversely as the amount of time after it has been lit. If a…

A:

Q: A construction team gives an estimate of three months to repave a large stretch of a very busy road…

A: Given Three months = 15 members Also the relationship between construction time and crew members…

Q: Find the average rate of increase in population which in the first decade had increased by 20%, in…

A:

Q: Find the average rate of increase in population which in the first decade has" increased by 20%, in…

A:

Q: 2. In a certain bacterial culture where the rate of growth of bacteria is proportional to the number…

A: Solution is given below:

Q: 3. How much does 1 kg of butter cost at the rate shown in the picture at the left?

A: We will solve the following using unitary method.

Q: The number of crimes that occurred in a certain city per 1000 people had decreased from 45.9 in 1920…

A: To determine the average rate of change in the number of crimes per 1000 people.

Q: If the rate of growth in sales of company for five years is 5%, 7.5%, 2.5%, 5% and 10% respectively,…

A: It is given that the rate of growth in a company is 5%,7.5%,2.5%,5% and 10% We need to find the…

Q: assume that food prices have risen about 8 percent  per year for the last 6 years if a gallon of…

A: Given that food prices risen about 8% per year for the last six years. Given that gallon of milk…

Q: Suppose that in​ 2008, 821,550 citizens died of a certain disease. Assuming the population of the…

A: Given data is: 821,550 citizens died  Total population of the country=360 million To find what is…

Q: the bear population gradually increases over a decade. there are 1604 bear this year and there was…

A:

Q: Suppose that during the first year after its hatching, the weight of a duck increases at a rate…

A: Solution

Q: 2. A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above…

A:

Q: A factory produces bicycles at a rate of 95 +4812- 4t bicycles per week (t in weeks). How many…

A:

Q: How does related rates apply in real life situations?

A: The related rate is a concept that involves how the rate of two or more than two changing quantities…

Q: If prices increase at a monthly rate of 2.6% by what percentage do they increase in a year?

A:

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: Model the given problem dpdt=kp if p is the present number of bacteria integrate it on both sides…

Q: 1. A man takes 40 mg of a certain medicine. Each hour, the amount of medicine in the man's system…

A: Let's find.

Q: Find the average rate of increase in population which in the first decade has increased by 20%, in…

A:

Q: According to Statistics Canada, in Grimshaw, Alberta, the population is declining Between 2001 and…

A: Solution

Q: The population of an Ontario town grew from 1250 to 10,000 in 5 years due to the establishment of a…

A: The population of a city grows exponentially. Suppose that initially the population is P. If the…

Q: 2. In a certain culture of bacteria, the rate of increase is proportional to the number present. If…

A:

Q: The rate of change of the male population of a particular barangay is proportional to the male…

A:

Q: State whether the following statement is true or​ false, and explain why. If the statement is​…

A: Given ,the economy shrank at an annual rate of 9% Let the economy=P∴ economy after four…

Q: In a city with 500,000 population, the rate of the spread of a new flu epidemic is proportional to…

A:

Q: The current population of a small town is 4,700 and is declining at a rate of 1.7% a year what will…

A: The general form that represents the exponential decay is as follows. Pt=P01-rtPt is the population…

Q: Two cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east…

A:

Q: How well does the average rate of change describe how the mold changes for these 6 days?

A: Formula used : Average rate of change of f (x) in between a and b is  f(b) - f(a) / b-a

Q: A car was valued at $32,000 in the year 1991. The value depreciated to $14,000 by the year 2005. A)…

A: The value of car is 32,000 in the year 1991 In 2005 the value of car is depreciated to 14000 Use the…

Q: The population in India was 952108000 in 1996 and was growing at a rate of 1.3% per year. What will…

A:

Q: 2. According to the US Post Office the number of pieces of first-class mail processed (in millions)…

A: Given that:                           Mails processed in 1930 = 16901Mails processed in 1960 =…

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

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: If y varies inversely as x, what is the percent change in x when y is increased by 60%?

A:

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

A:

Q: The number of children in a church is increasing at a rate that is proportional to the number of…

A: We will find the number of children after 5 years as following.

Q: 4. The number of people living in Canada rose by 1.2% to 38.5 million in 2021. If this population…

A:

Q: The net revenue of a company rose 3.6 %, while inflation rate was 3.0 %. Calculate the relative real…

A: Given that: Inflation rate = 3% Increase in Net revenue = 3.6%

Q: The population of Oregon was about 3,831,000 in 2010 and about 3,970,000 in 2014. Find the average…

A: The population of Oregon was about 3,831,000 in 2010 and about 3,970,000 in 2014.  The average rate…

Q: In the year 1980, the median price for a house in New Jersey was $119,200. By the year 2000, the…

A: We have the formula for annual growth rate in percent r=final priceInitial price1n-1×100

Q: The population of deer in Culberson County, Texas, is declining at an estimated rate of 0.8% per…

A:

Q: The price of a computer component is decreasing at a rate of 13​% per year. State whether this…

A: The price of a computer component is decreasing at 13% per year. Now, let the initial price of the…

Q: In 2003 the United Nations estimated that the population of Ethiopia was about 70.7 million, with an…

A: Given data: The given population of Ethiopia is C=70.7 million. The given annual growth rate is…

Q: If the temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the 11th…

A: Given: The temperature on the third day of the month is 50 degrees Fahrenheit and 82 degrees by the…

Q: The population of the United States was 3.9 million in 1790 and 178 million In 1960. If the rate of…

A: Given,           The population of the United States was 3.9 million in 1790 and 178 million in…

Q: If a number decreases from 88 to 11, what is the rate of decrease (as a %)?

A: A number decreases from 88 to 11

Q: The population of the Philippines doubled from 1967 to 1997. Assuming the rate of population…

A: Let 'x' be the population of Philippines in 1967. Therefore, in 1997 the population become '2x'   We…

Q: The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013.  Hence the…

A:

Q: Last week's production at Morton Manufacturing was 1,600 units. This week the factory produced 1,913…

A: Given, Last week's production = 1600 units Current week's production = 1913 units