An exponential function f(x)=ab^x passes through the points (0, 7) and (3, 448). What are the values of a and b?

Q: A culture of bacteria originally numbers 500. After 2 hours there are 1,500 bacteria. Assuming…

A: Given Initially bacteria are 500 after 2 hours they are 1500

Q: The mean waiting time to get servedafter walking into a bakery is 30 seconds. Assume that an…

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Q: Solve th equation for x. log2(log3 x) = 4

A: Consider the given: log2log3x=4Using log Rule:logap=n is equivalent to p=an,log2log3x=4…

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given: Initial population of cockroaches = 3.5 millions = 3500000  Rate of decrease = r=18%=0.18…

Q: What are the  Exponential Curves?

A: Exponential curves is a function in which the variable appeares in theexponent and it grows…

Q: 2) 12

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Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: Radiocarbon dating is a method used by scientists to estimate the age of ancient objects that were…

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

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

Q: odine -131 has a half-life of approximately 8 days. ind the amount of iodine-131 left from a 100…

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Q: To get $800 after 212years at 8% compounded continuously

A: $800 after 212 years at 8% compounded continuously.

Q: The half-life of carbon-14 is 5700 years. If an item is discovered with only 17% of the original…

A: Given Half life of carbon-14 =5700 years  i.e. and an item is found with only 17% of the original…

Q: (5) log yz (6) log (7) log (ry) (8) log rvz

A: We will find the value of these problem using logarithm formula.  We know  , log(A/B) = log(A)  -…

Q: The average profit a local store owner earns on a given day is \$590$590 and is growing…

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Q: Find the equation of the logistic function with a maximum value of 1000, an initial value of 500,…

A: Topic:- function

Q: Express in terms of sums and differences of logarithms. 2 In In 3 3x y 2 3 3x y

A: Given:ln23x3ywe need to express this logarithm in terms of sums and differences.We know thatln (ab)…

Q: Acell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Note that increasing from one to two cells means the population should be doubled. On the other hand…

Q: The accumulated amount of P8000 is P10000 after 2 years, calculate the interest rate if it is…

A: The accumulated amount of $8000 is $10000 after 2 years,   We have to calculate the interest rate…

Q: Find exponential equation by using these two point (-2,6) and (3,1)

A: Consider y=aebx for some real numbers a and b. As (-2,6) satisfies the equation,…

Q: The mass reaches 75 grams after t= years.

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Given:

Q: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. What is the…

A: Given: A quantity with an initial value of 850 grows continuously at a rate of 90% per decade. To…

Q: A material decays at the rate of 0.099% per year. How long will the material take so that only 30%…

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Q: A cell population grows exponentially beginning with one cell. Which takes longer: increasing from…

A: Definition of the exponential functions helps to find the answer to the problem. A function is said…

Q: A person places Php100,000 in a savings account which pays 3 percent interest per annum, compounded…

A: 2. Given that, A person places Php 100,000 in a savings account which pays 3 percent interest per…

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: The average pounds of fruits is 130 pounds, and the selling price is $0.6 per pound. The yield per…

Q: What exponential function will pass through both (2,4) and (5,7)?

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Q: Suppose that the number of bacteria in a certain population increases according to a continuous…

A: Topic-basic maths

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

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

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Q: The population of Glenbrook is 375,000and is increasing at the rate of 2.25% per year. Predict when…

A: To find: When the population is 1 million. Given: Initial population is 375000 and rate of…

Q: Jose invests $10,000 at 10% interest that is compounded continuously. Which is the value after 10…

A: We have to find compound amount

Q: Suppose a study is completed that finds that the number of cockroaches in Chandler decreases by 18%…

A: Given information:  Cockroach population decrease by 18% in 12 years.…

Q: Find the effective rate of interest for 10% compound continuously.

A: The continuous rate is calculated by raising the number "e" (approximately equal to 2.71828) to the…

Q: What is the exponentially smoothed value for period 4, using a smoothing constant of 0.4?

A: Given that  Time series data  Observation  Value 1 10 2 15 3 18 4 12 5 20 6 21 7 21…

Q: A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the…

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Q: When do we use the Chain rule in derivates of exponential function

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Q: An fruit grower knows from previous experience and careful data analysis that if the fruit on a…

A: To find: How many weeks should the grower wait to maximise the sales revenue per tree.  Find the…

Q: At the beginning of the COVID-19 pandemic, the number of new cases was growing exponentially. There…

A: According to the guidelines issued by the company We are supposed to answer only first three…

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: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

Q: If 26 grams of radioactive waste reduces to 19.35 grams of radioactive waste after 1120 years, then…

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Q: A quantity with an initial value of 3600 grows continuously at a rate of 2.5% per decade. What is…

A:

Q: Suppose that a population that is growing exponentially increases from 800,000 people in 2010 to…

A: the exponential model is of the form, At=A0ekt where A0 original amount of the entity, t is the…

Q: uppose that you arrive at a service center having two counte usy at the moment but there is no one…

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Q: When we take measurements of the same general type, a power law of the form y = ax often gives an…

A: (b)   Given that X´=log(X) and Y´=log(Y)   X Y X´ Y´ 2 1.81 0.30103 0.257679…

Q: Give 5 examples of derivative of exponential function with solution

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Q: A principal of 7000 Rial is invested at rate 9% interest for 8 years. Determine the future value if…

A: Principal= 7000 Rial Rate of interest=9% Number of years =8