write the equation of the graph in its final position the graph of y= ln(x) is translated 2 units to the right and then 6 units upward

Q: The number of trees present in a forest is declining at a rate of 120 trees per month. Start with…

A: Explanation: Given that,  Number of trees present in a forest is declining at a rate of 120 trees…

Q: As the number x increases through positive values, the numbers 1/x and 1/(ln x) both approach zero.…

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Q: Find an equation for an exponential passing through the points (3,1000) and (9,12000). Find decimal…

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Q: 9. Decrease in Bacteria When an antibiotic is introduced into a culture of 50,000 bacteria, the…

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Q: Bacteria Population Laura, a scientist, is studying the bacteria population growing on a Petri dish.…

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Q: The value of a home y  (in thousands of dollars) can be approximated by the model, y= 192 (0.96)^t…

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Q: The grandparents of a newborn child decide to establish a college fund for her. They invest $10,000…

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Q: The value of a home y  (in thousands of dollars) can be approximated by the model  y= 192 (0.96)^t ,…

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Q: 4,000 is invested in an account earning 5% interest (APR), compounded daily. Write a function…

A: For compound interest  P = $4000 r = 5% = 0.05 n = 365

Q: Estimating the Age of a Tree A piece of charcoal is found tocontain 30% of the carbon-14 that it…

A: Given: Charcoal is found to contain 30% of carbon-14

Q: Pre Calculus (not Calculus) A radioactive isotope has a half-life of 450 years. Find how long it…

A: A radioactive isotope has a half-life of 450 years. Find how long it will take a sample of the…

Q: Estimating the Age of a Tree A piece of charcoal is foundto contain 30% of the carbon-14 that it…

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Q: You deposit $6000 in an account earning 7% interest compounded continuously. How much will you have…

A: There are multiple question. as per Company policy ask other question separately.  for interest…

Q: The exponential function f takes the value 10 when x=1 and 30 when x=2.  What is the y-intercept of…

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Q: The cost of maintaining a home generally increases as the home becomes older. Suppose that the…

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Q: Application of Integration A small town in South Africa has an annual population growth rate of e10*…

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Q: A certain substance decomposes according to a continuous exponential decay model. To begin an…

A: The aim is to find the exponential function yt where y represents the amount of substance (in kg)…

Q: 2) Carbon dating: You may use the equation A(t)= A_e for the amount of carbon-14 at year :. First…

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Q: A certain culture of bacteria in a petri dish grows directly proportional with its current…

A: Given that: Initial mass = mi gramsGrowth rate = n%

Q: You invest a sum of money at an annual interest rate of 12% compounded continuously. After 42 months…

A: Given that : Annual intrest rate ( R ) = 12% Time ( N ) =  42 months = 3.5 year Balance in the…

Q: A wolf population is growing exponentially. In 2011, 129 wolves were counted. By 2013, the…

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Q: As the number x increases through positive values, the numbers 1>x and 1>(ln x) both approach…

A: Given :             The function f(x) = 1x1ln x

Q: The population of a city is 40,000 and the annual growth rate is 1.6%. Write an equation to model…

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Q: The yield V (in millions of cubic feet per acre) for a forest at age t years is given by picture*…

A: Given V=6.2e-48.1t,t>0 where V represent yield for a forest in million of cubic per acre t…

Q: 1) The exponential parent function y = 2" has been transformed. Write the equation of the new image.…

A: a) The graph is shifted to y axis with 2 unit , and value of y inverted. (y-2)=-2x

Q: Newton's Law of Cooling The brewing pot temperature of coffee is 180°F, and the room temperature is…

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Q: You invest $200 at 10% annual interest compounded continuously. How much do you have after 5 years

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Q: 10.A savings bond offers interest at a rate of 6.0%, compounded monthly. Suppose that an $8000 bond…

A: We are given a savings bond, so here we can use the formula Amount = Principal1+rnnt

Q: a water tank drains a t constant rate it contains 930 liters of water 3.5 minutes after it started…

A: Total capacity of tank = 930 lit Time taken to complete drain the water  = 50 min   t is the drain…

Q: A certain culture of bacteria in a petri dish grows directly proportional with its current…

A: Given that: Bacteria growth is directly proportional to its current population.Initial mass=mi…

Q: A business deposits $35,000 in a fund that pays 3% interest, compounded continuously. Write an…

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Q: Interest Rate Suppose that $20,000 is invested atcontinuous rate r and grows to $81,104 in 28…

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Q: Solution 6. The number of bacteria in a culture increases from 4,000 to 11,000 in 8 hours. Assuming…

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Q: A tumor is injected with 0.520.52 grams of Iodine-125. After 1 day, the amount of Iodine-125 has…

A: The given data is: A tumor is injected with 0.520 grams of Iodine-125 After 1 day, the amount of…

Q: 3. A bacteria culture initially contains 100 cells and grows at a rate proportional to its size.…

A: Please see the explanation below

Q: In 2012 the average cost of a house in San Francisco was $521,000. In 2016 the average cost of a…

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Q: 2) Carbon dating: You may use the equation A(t) = 4e for the amount of carbon-14 at year :. First…

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Q: Express equation equation in logarithmic form. (a) e^x=8 is equivalent to the logarithmic equation:…

A: Express equation equation in logarithmic form. (a) ex=8 is equivalent to the logarithmic equation:…

Q: In an area, there are seven zombies to start with.  At the end of a month, the zombie population has…

A: Given ,     7 zombies at start     Ao=7     after a month      t=30 dayPopulation of members is 28…

Q: In a wildlife refuge, scientists have released six rabbits. They return one year later and have…

A: To find exponential function for growth , we will use formulaA = A0ektwhere A= Growth or population…

Q: Light Absorption When sunlight passes through lake water, its initial intensity 10 decreases to a…

A: We first use the subtraction property of the logarithm.

Q: Assume an exponential function has a starting value of 28 and a growth rate of 124%. Write an…

A: We have to find an equation to model the situation.

Q: A 900 L tank contains 450 L of water with a salt concentration of 14 g/L. Water with a salt…

A: Let y be the amount of a substance. The concentration of the substance can be modeled using the…

Q: A new strain of bacteria is studied in a lab. The lab begins with 10,000 bacteria and observes a 20%…

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Q: Solve the equation algebraically. Round your result to three decimal places. Verify your answer…

A: 6xlnx +x =0 6xlnx =-x lnx = (-1/6) x = e^(-1/6) X = 0.8464

Q: Air Pressure Problem: The pressure of the air in the Earth's atmosphere decreases exponentially with…

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Q: Interest Rate Suppose that $10,000 is invested atcontinuous rate r and grows to $17,160 in 9…

A: Continuous return is given by formula R=Pert , where P is principal amount               R is…

Q: cientist can determine the age of ancient objects by a method called radiocarbon dating. The…

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Q: 1) If a bank account compounds continuously, and money in the account doubles in 9 years, find the…

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