Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 1158720: You've learned about the properties and characteristics of exponential and logarithmic functions, including their domain and range, what their graphs look like, and how they can be applied in economic and scientific contexts.
Many observers assume linear rates of change in technology and social development. Inventor and entrepreneur Ray Kurzweil has put forth evidence of an exponential rate of change in human development of technology and draws some controversial conclusions about future change. Review this talk by Kurzweil, and discuss your reactions. Consider these questions:
β’ What leads many observers to assume a linear progression?
β’ Why do you accept or reject the evidence that Kurzweil presented of an exponential model of growth?
β’ What conclusions can you draw about change in the next 10 to 20 years based on an exponential model of growth in technology, communications, and other fields?
β’ What other areas of human or societal change have models that would fit an exponential curve?
Click here to see answer by ikleyn(52800)   |
Question 1157956: A midwestern city had a population of 650,000 in 2010. The population, which follows the exponential model, decreased 4.65% per year. Show all work!
a. Find the exponential function that models the population after t years.
(Remember to change the rate to a negative decimal.)
b. What is the projected population in the year 2020?
c. In how many years will the population be expected to be 300,000?
Click here to see answer by Amily_2190(27) |
Question 925599: Hi!!!!! I tried attempting this really hard problem on a homework assignment and I have no clue what i'm doing wrong, it's a half life question and i keep getting the wrong sort of answer, I hope you're ready :D "An accident in 1986 at Cherynobyl play in the Ulraine released a large amount of plutonium (Pu-239) into the atmosphere. The half-life of Pu-239 is about 24,110 years.
a) Find the decay constant
b) Use the function N(t) = N0e^-kt to find what remains of an initial 20 grams of Pu-239 after 5000 years.
c) How long will it take for these 20 grams to decay to know gram? Go down to the Years, Days, Hours, Minutes, and Seconds.. I got A! so that won't be a problem, maybe you could try and solve it too? I got a weird number for b - 17.3? Is that odd? I mean... isn't it supposed to go down? And what's the nonsese with c? Any help at all would be great, thanks sO much!
Click here to see answer by MathTherapy(10552)  |
Question 925599: Hi!!!!! I tried attempting this really hard problem on a homework assignment and I have no clue what i'm doing wrong, it's a half life question and i keep getting the wrong sort of answer, I hope you're ready :D "An accident in 1986 at Cherynobyl play in the Ulraine released a large amount of plutonium (Pu-239) into the atmosphere. The half-life of Pu-239 is about 24,110 years.
a) Find the decay constant
b) Use the function N(t) = N0e^-kt to find what remains of an initial 20 grams of Pu-239 after 5000 years.
c) How long will it take for these 20 grams to decay to know gram? Go down to the Years, Days, Hours, Minutes, and Seconds.. I got A! so that won't be a problem, maybe you could try and solve it too? I got a weird number for b - 17.3? Is that odd? I mean... isn't it supposed to go down? And what's the nonsese with c? Any help at all would be great, thanks sO much!
Click here to see answer by greenestamps(13200)  |
Question 1159189: The count in a bacteria culture was 600 after 10 minutes and 2000 after 35 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 120 minutes.
When will the population reach 10000
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1159561: Consider the curve described by the equation below,
y = e^2x + 3.
a) Sketch a rough graph of this curve. Clearly label the x and y axis,
label the points where the curve crosses any axis. Draw a dashed line on
the graph to indicate any asymptotes, find the equation of any asymptotes
b) Find the equation of the straight line stated below,
y = mx + c,
that is a tangent to the curve at the point x = 0. State the value of the
gradient m and the y intercept c.
Click here to see answer by solver91311(24713)  |
Question 1159801: Hello! I recieved this question on my homework and don't fully understand how to set it up or solve it well. The question reads as follows:
If Scott Corbett invests $5,000 at 6% compounded quarterly, how long will it be before his investment has grown to $14,000? Any help would be greatly appreciated! Thank you!
Click here to see answer by ikleyn(52800) |
Question 1159801: Hello! I recieved this question on my homework and don't fully understand how to set it up or solve it well. The question reads as follows:
If Scott Corbett invests $5,000 at 6% compounded quarterly, how long will it be before his investment has grown to $14,000? Any help would be greatly appreciated! Thank you!
Click here to see answer by MathTherapy(10552) |
Question 1159893: The doubling time of an investment with continuous compound interest is 12.2 years. If the investment is worth β$23,000 βtoday, how much will it be worth 6 years fromβ now?
It will be worth β$_
Im really confused on this problem.
Click here to see answer by ikleyn(52800) |
Question 1159620: A growing number of thieves are using keylogging programs to steal passwords and other personal information from internet users. The number of keylogging programs reported grew approximately exponentially from 0.3 thousand programs in 2000 to 11.0 thousand programs in 2005. Predict the number of keylogging programs that will be reported in 2013.
Click here to see answer by Boreal(15235)  |
Question 1160408: Brad created a chart that shows the population of a town will increase to 43443 people from a current population of 11880 people. The rate of increase is an annual increase of 2.84%. Brad forgot to include on the graph the number of years this increase will take. How many years should Brad add to the chart?
Click here to see answer by Boreal(15235) |
Question 1160408: Brad created a chart that shows the population of a town will increase to 43443 people from a current population of 11880 people. The rate of increase is an annual increase of 2.84%. Brad forgot to include on the graph the number of years this increase will take. How many years should Brad add to the chart?
Click here to see answer by solver91311(24713) |
Question 1161070: A population growing at a rate of 2.1% per year from an initial population of 9000 will grow in years to an amount
P=9000 x e^0.021t
How many years will it take the population to triple?
Round your answer to the nearest integer.
please help!!!!!
years
Click here to see answer by josgarithmetic(39620) |
Question 1161069: The spread of a Virus. The number of MRSA (methicillin-resistant Staphylococcus aureus) cases has been rising sharply in England and Wales since 1997. In 1997,4060 cases were reported. The number of cases reported in 2003 was 7455 . How many cases will be expected in 2011? (Let=0 correspond to 1997.) Use the formula N=Noe^(rt), where N represents the number of cases reported.
Round to the nearest case. (Use rounded to two decimal places in the calculation.)reported cases in 2011.
please solve
Click here to see answer by math_helper(2461)  |
Question 1161111: The count in a bacteria culture was 600 after 15 minutes and 2000 after 30 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 120 minutes.
When will the population reach 14000.
Click here to see answer by ikleyn(52800) |
Question 1161404: 3. The table shows the populations (in millions) of five countries in 2000 and the projected populations (in millions) for the year 2015. Let t = 0 correspond to 2000. Find the exponential growth or decay model for each country using Desmos.
Use each model to predict the population of each country in 2030. To determine the regression equation, type the data in the table for a country in the first entry line (t = 0 corresponds to the year 2000); then, in the second entry line, type the equation y1 aebx1.
Country
2000
2015
Find the Exponential Growth or Decay Model
Find the Population in 2030
Bulgaria
2000 = 7.8
2015 = 6.9
Canada
2002 = 31.1
2015 = 35.1
China
2000 = 1268.9
2015 = 1393.4
United Kingdom
2000 = 59.5
2015 = 62.2
United States
2000 = 282.2
2015 = 325.5
It is evident that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y = aebt is determined by these different growth rates? Discuss the relationship between the different growth rates and the magnitude of the constant.
Answer:
While the population of China is increasing, the population of Bulgaria is decreasing. What constant in the equation y = aebt reflects this difference? Explain.
Answer:
Click here to see answer by solver91311(24713) |
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