You can sell 40 cars per month at $20,000 per car, and the demand is increasing at a rate of 3 cars per month each month. What is the fastest you can drop your monthly price before your monthly revenue starts to drop?

Q: how long did John’s father investment have to grow from the day it was open until the day it was…

A: Given,  On John, first birthday (March 1, 1984) his father opened an investment account with Initial…

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Q: The population of Knoxville is 500,000 and is increasing at the rate of 3.75% each year.…

A: Given The population of Knoxville is 500,000 and is increasing at the rate of 3.75% each year.…

Q: A real estate firm owns 100 apartments. at 400 pounds per month, each apartment can be rented,…

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Q: suppose chad had 5000 to invest. if he invested 3000 at 5% interest at what rate would he have to…

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

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Q: Logan invests $4000 at an annual interest rate of 6%.How much money will she have after 10 years if…

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

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Q: Beginning on January 1, 2000, the populations of wolves and rabbits in a certain forest both grew at…

A: According to question,Given dataInitial population of wolves = 65,Rate of increasing Wolves by 25%…

Q: Find two positive numbers whose sum is 7 and the product of the cube of one number and the…

A: Let x and y be the positive numbers such that

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

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Q: At the start of 2010, an online social group had 360 million members. Subsequently, new members…

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

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Q: How long will it take P 12.00 to be 3 times its value if invested at the rate of 6%

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Q: During the worst periods of hyperinflation in a certain​ country, the price of food increased at a…

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Q: If the national economy shrank at an annual rate of 9​% per year for three consecutive​ years, then…

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Q: You decide to invest $8000 for 6 years and you have a choice between two accounts. The first pays 7%…

A: Formula for amount when it is compound interest is given as: A=P1+rnnt, where A is amount after t…

Q: How long would it take for a population to double if the population growth is 0.5%? please show your…

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Q: Suppose you have a clothes dryer that uses 4000 watts of power and you run it for an average of 1…

A: Given :             Power P = 4000 watts             1 kilowatt/hour  = 14cent

Q: How long will it take an investment of $8,000 to grow to $10,000 if the investment earns interest at…

A: The compound interest formula ( if the interest is compounded on daily basis) is given by:

Q: A family purchased a home for $150,000. Two years later the home was valued at $188,160. If the…

A: Initial value is a=150,000 Let the common ratio be r. So after two years the value is given by:

Q: A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm continues to…

A: Given that A farm purchased in 2000 for $1 million was valued at $3 million in 2010. If the farm…

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

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Q: 2.) Ted wants to triple his money. It is in an account that pays 5% interest compounded…

A: the exponential growth model  is                       y= Pert   where  y = total amount after…

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: the amount of free space left on yout hard drive is now 50gb and is decreasing by 5gb per…

A: Given  Free space on the hard drive = 50gb Rate of decreasing = 5gb per month

Q: If a population has a growth rate of 7.5% per year, how long to the nearest tenth of a year will it…

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Q: If prices increase at a monthly rate of 3.4%, by what % do they increase in a year?

A: Annual increase = (((monthly increase+100)/100 )12 -1) 100 Hence Annual increase = ((103.4/100)12…

Q: An investment grows from $10,240 to $10,700.80 in one year. If the investment continues to grow at…

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Q: You have an investment of $22,400.00 that you want to double in 11 years. If interest is compounded…

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Q: How long will it take 200,000 to increase by 80,000 if invested at 8% converted annually

A: Here in the given question:   Principal amount P = 80,000   Final amount (A) = 2,00,000   Interest…

Q: After approximately how many years do levels of intensity for commitment exceed the maximum level of…

A: The graphs showing that the three components of love, namely commitment, intimacy, and commitment,…

Q: In the year 1980, the city of Gumbolantenden had a population of 20,000. The population of…

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

A: Given,  H = 1500e0.053t  Where H is the total public expenditures for health care in billions of…

Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

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Q: National Park Service personnel are trying to increase the size of the bison population of the…

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Q: Answer completely. Suppose the population of a certain bacteria in a laboratory sample is 100. If it…

A: The rate of growth in a cell population that is dividing without restriction is a form of…

Q: If sandago has a present population of 70,000 and the population is increasing by 3% each year.…

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Q: What is the difference between the way a linear function increases and the way an exponential…

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Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 500g…

A: Given The inital amount of drug A0=500 gramDeplete rate k=10 mg per second∵1 second=13600 hour1…

Q: When will the population exceed 1 million people (to the nearest year)? 6. The population of…

A: Given that  Population of Leavetown is 123000 And decreasing at a rate of 2.375 % per year

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

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Q: If the price of gold decreases at a monthly rate of 2.6% by what percentage does it decrease in a…

A: We have to find given percentage decrease.

Q: National Park Service personnel are trying to increase the size of the bison population of the…

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Q: Many people claim that as they get older, time seems to pass more quickly. Suppose that the…

A: We have given that perceived length of a period of times is inversely proportional to  age . We have…

Q: In favourable breeding conditions, the population of a swarm of desert locusts can multiply 10-fold…

A: In this question, we have to solve the word problem by changing it into a mathematical form.

Q: An investment grows from $10,240 to 10,700.80 in one year. If the investment continues to grow at…

A: We will find out the required value of the time.

Q: at what point on the graph of f(x)= (x-8)(x-2)/x-4 would you not be able to determine the…

A: Given:   To find: The point at which instantaneous rate of change cannot be determined.

Q: You can now sell 50 cups of lemonade per week at 30¢ per cup, but demand is dropping at a rate of 5…

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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.