Find a value ?>0 so that the graph of the exponential function ?(?)=a^x contains the point (2,1/4).   a=?

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

A: Answer:  The hourly growth rate parameter of bacteria as shown below :

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: demand for a company's product has increased from 100 units per day to 137 units per day. What was…

A:

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

A: Solution :-

Q: A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. Find an exponential…

A: Given:- A bacteria culture starts with 1,500 bacteria and doubles in size every 4 hours. To Find An…

Q: Imagine that you are a local government leader in your municipality. How can you use exponential…

A: An exponential function is a Mathematical function in form f (x) = ax, where “x” is a variable and…

Q: The population of a pigeons in a city is 230 and is growing exponentially at 18% per year. Write a…

A: Given that: Initial population=a= 230  Growth rate = 18% = 0.18 So growth factor =b= 1+0.18 =1.18…

Q: exact doubling time of: a nation of 100 million people is growing at a rate of 4% per year. What…

A: N0=100×106=108Nt=1081+4100t, where t is in yearsN15=1081.0415=180094350 people

Q: The population of a pigeons in a city is 150 and is growing exponentially at 10% per year. Write a…

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Q: The rate of a continuous money flow starts at $700 and increases exponentially at 4% per year for 20…

A: Initial Amount (P0): $700 R = 4% = 0.04

Q: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

A:

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 4% interest,…

A: it is given that, a parent deposits $30,000 in a trust fund that pays 4% interest, compounded…

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: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A: P=$500,  t=10  &  A=1505. Now,…

Q: A certain quantity Q has initial value 200 and decays by 30% each year. Give an exponential function…

A: Given that, Initial value (a) = 200 Rate of decay (r) = 30%

Q: test the effectiveness of a carbon monoxide (CO) alarm, a company begins a controlled experiment…

A: Given test the effectiveness of a carbon monoxide (CO) alarm, a company begins a controlled…

Q: The count in a bacteria culture was 800 after 10 minutes and 1200 after 35 minutes. Assuming th…

A: Please refer to the image below

Q: On the day of a child's birth, a parent deposits $30,000 in a trust fund that pays 5% interest,…

A: To find the balance in this account on the child's 24th birthday when compounded continuously

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: According to the given information it is required to find how many people died from AIDS in 2006…

Q: a specific radioacitve substance follows a continuous exponential decay model. It has a half life of…

A: Given  Amount of radioactive substance is present at the start of experiment =581.8g Half life=11…

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: Note that, the exponential model is given by: y=a(2.1)t where a is the initial number=1700 and t is…

Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. How do…

A: Consider the given information ,tumor is injected with 0.9gm

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: The mass of a substance, which follows a continuous exponential growth model, is being studied in a…

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

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

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Q: The population of a pigeons in a city is 6200 and is growing exponentially at 17% per year. Write a…

A:

Q: A certain radioactive material follows the law of exponential growth. If between noon and 2 pm the…

A: Let the exponential law of growth: As given: t=13.28 hours hence at night around 1:28 a.m., the…

Q: An extremely large flywheel in a generator is rotating at 1980 revolutions per minute at full power.…

A: Initial power of flywheel No=1980 rev/min After 8 minutes,N=1564 rev/min

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

A: hourly growth gate of bacteria is 3.045% detailed solution with explanation is given below

Q: An initial amount of $2300 is invested in an account at an interest rate of 1% per year, compounded…

A: Initial amount (P) = $2300 Interest rate (r) = 1% per year = 0.01 per year

Q: The number of users on a website is 490 and is growing exponentially at a rate of 65% per year.…

A:

Q: Suppose that $2,300 is invested in an account that pays interest compounded continuously. Find the…

A: Given, Investment = $2300 Amount = $3300 Interest rate = r = 3.5% The formula for the amount of time…

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

A: Given that: The number of bacteria in a certain population increases accordingly according to a…

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

A:

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

A: Exponential growth ( Formula): P=P0ert         ...(1) Where  P = Total population after time t. P0 =…

Q: Find the effective rate of interest for 3% compounded continuously.

A: Please see the explanation below

Q: A colony of bacteria grows under ideal conditions so that the population increases exponentially…

A:

Q: The graph of an exponential curve is known to pass through the points (1, 6) and ( 4, ) Find the…

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Q: The mass of a substance, which follows a continous exponential growth model, is being studied in a…

A: First defined the function for the growth of the mass of the substance then substitute the values.

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

A:

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A:

Q: A certain phenomenon has an initial value of 12 and grows at a rate of 8% per year. Give an…

A:

Q: Diseases tend to spread according to the exponential growth model. In the early days of AIDS, the…

A: given growth factor= 2 initial time 1983 people died in 1983 = 1700 people

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: Find the missing values assuming continuously compounded interest. (Round your answers to two…

A:

Q: The population of a pigeons in a city is 160 and is growing exponentially at 11% per year. Write a…

A: Consider f(t) represents the numbers of pigeons at time t (in years).Given:The initial population of…

Q: The mass of a substance, which follows a continuous exponential growth model, is belng studied in a…

A:

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.