Your mathematics instructor asks you to sketch a graph of the exponential function f(x) =2^x for x between 0 and 40, using a scale of 10 units to one inch. What are the dimensions of the sheet of paper you will need to sketch this graph?

Q: What is evaluating limits of exponential functions and how do we use it in our life?

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Q: A colony of bacteria is growing exponentially. At time t = 0 minutes it has 300 bacteria in it, and…

A: Let's Solve,

Q: A culture of bacteria originally numbers 500. After 2 hours there are 1500 bacteria in the culture.…

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Q: The half-life of a substance is 1200 years. If the initial amount of the substance is 300 grams,…

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Q: Find the time it takes for $9,400 to double when invested at an annual interest rate of 6%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the time it takes for $8,900 to double when invested at an annual interest rate of 8%,…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Find the time it takes for $950,000 to double when invested at an annual interest rate of 18%,…

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Q: The count in a bacteria culture was 300 after 15 minutes and 1500 after 40 minu count grows…

A: We will solve.

Q: The count in a bacteria culture was 400 after 10 minutes and 1200 after 35 minutes. Assuming the…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

A: Given that The number of bacteria in a culture is increasing according to the law of exponential…

Q: A bond is purchased for $1,000 that pays 6 percent of the purchase price annually. Is the amount…

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Q: If an exponential function is described as decay what do know about the graph? What do you know…

A: The exponential function where b>0 is a function that will remain proportional to its original…

Q: A quantity with an initial value of 480 grows exponentially at a rate such that the quantity doubles…

A: Here a value is increasing exponentially. We need to find the value after specified time.

Q: The half-life of Radium-226 is 1590 years. If a sample contains 200 mg, how many mg will remain…

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Q: What are the Exponential Functions?

A: To define the exponential function.

Q: Solve for x: 9. -log3 x = – 10 = x You may enter the exact value or round to 4 significant decimal…

A: Given:       95log3x=-10

Q: A prestigious bank offers a CD that earns 4.15% interest compounded continuously. Say a CD is…

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Q: The count in a bacteria culture was 500 after 10 minutes and 1900 after 35 minutes. Assuming the…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

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Q: The count in a bacteria culture was 300 after 20 minutes and 1600 after 30 minutes. Assuming the…

A: To begin with this question, we need to know the exponential growth formula that is Nt = N0ekt where…

Q: The growth rate of the bacterium, a common bacterium found in the human intestine, is proportional…

A: From the problem, we know that -The growth rate of the bacterium found in the human intestine is…

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: If a project takes 10 people 12 months to complete and the Pointy-Haired-Boss says 20 can do it in 6…

A: Given information: 10 people takes 12 months to complete the project. Pointy-Haired-Boss says that…

Q: A scientist runs an experiment involving a culture of bacteria. She notices that the mass of the…

A: Given Mass of the bacteria in the culture increases exponentially with the mass increasing by 241%…

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Let the time taken be t years

Q: The count  in a bacteria culture was 200  after 15 minutes and 1600 40 minutes assuming the count…

A: So we can model the growth of bacteria with an exponential function given by,             f(t)…

Q: The exponential function with a base of 5 has been reflected in the X axis vertically compressed by…

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Q: The count in a bacteria culture was 900 after 15 minutes and 1800 after 40 minutes. Assuming the…

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Q: What are some of the important characteristics of exponential functions?

A: We need to mention some characteristics of the exponential function. Let's begin.

Q: A computer viruS can grow exponentially just like a real virus in a person's body. Suppose the…

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Q: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

Q: A woman invests $6400 in an account that pays 6% interest per year, compounded continuously. (a)…

A: To find the Final amount by using Compound interest, the following formula can be used…

Q: If 3000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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Q: How long will it take a $700 investment to be worth $1300 if it is continuously compounded at 10%…

A: If P is the principal, r=rate of interest, t= time in years, hen , amount is given by

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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Q: proportional to A, weight W, and height H. A and W measurement values taken from different people…

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Q: A city has 1000 individuals and its population doubles every 60 years. Give an exponential model for…

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Q: an effort to control vegetation overgrowth, 65 rabbits are released in an isolated area free of…

A: Given : a =65  t = 2 Total = 585

Q: Wendell is looking over some data regarding the strength, measured in Pascals (Pa), of some building…

A: Given f(x) =2xand strength is 8 Pascals

Q: Based on the graph of an exponential function f(x) = b*, for b > 0, describe how you can verify that…

A: Based on the hint, lets graph the given function.  Let b = 2. Go to…

Q: The count in a bacteria culture was 400 after 15 minutes and 1200 after 35 minutes. Assuming the…

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Q: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

A: General expression for exponential growth function is given by,                   n(t) = a(1+r)t…

Q: A computer virus can grow exponentially just like a real virus in a person's body. Suppose the…

A: Given that: Initial bytes infected = 11 bytesRate of growth = 7% per min.

Q: A quantity with an initial value of 510 grows exponentially at a rate such that the quantity doubles…

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Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: The rate of auto thefts doubles every 6 months. Determine, to two decimal places, the base b for an…

A: We have to find base b and  tripling time to the nearest tenth of a month.

Q: Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 4 yr if…

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Q: A biologist is monitoring the population of a rare species of Jackelope. The initial population size…

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Q: The count in a bacteria culture was 700 after 15 minutes and 1300 after 30 minutes. Assuming the…

A: The exponential  growth of the bacteria culture  is given by , P (t) = P o e kt                    |…

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.