The amount of a naturally occurring gas experiences exponential change. If the equation that represents the quantity of this element is y = 120(0.75)*, then the factor is and the percent change is

Q: Find the equation of the exponential function that goes through the points (0,2000) and (2,20).

A: Given:

Q: In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year.…

A:

Q: The number of bats in a colony is growing exponentially. After 1 year, there were 130 bats. After 4…

A:

Q: Find a formula for the exponential function passing through the points (-2,5) and (1, 15). y =

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in4 years?

A:

Q: If a total number of infections of a viral disease was observed to be 48 in day 27 and 900 in day…

A: Since the growth is exponential , so it is of the form P(t)=P0ert where P(t) is the number of…

Q: function

A: We have to find the inverse of the given exponential function

Q: Find a formula for the exponential function passing through the points (-3, 5/8) and (2, 20). y =

A:

Q: A radioactive substance, calculusium, has a half life of 72 years. If the amount after 40 years is…

A: According to question given that A radioactive substance, calculusium has a half life of =72 years…

Q: Find a formula for the exponential function passing through the points (-2, ) and (2,32) y =

A:

Q: Find a formula for the exponential function passing through the points (-1,2) and (1,8) y =

A:

Q: Suppose an insect population increases by a constant percentage each month. Explain why the number…

A: Exponential growth increases at an expanding rate with the rate of change for y being proportional…

Q: Find a formula for the exponential function passing through the points (-2,4/25)and (1,20)

A: Let the exponential function is

Q: Piper invested $900 in an account in the year 2009, and the value has been growing exponentially at…

A:

Q: The value of a coin collection has increased by 3.25% annually over the last 20 years. Determine…

A: If the growth is exponential the quantity increases over time and the rate of change is constant…

Q: The equation y=5x+3 describes an exponential function. How is it related to the exponential function…

A:

Q: Find the exponential equation whose graph passes through the points (-3, 125 and (3,250) y =

A:

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A:

Q: Find the exponential equation whose graph passes through the points (-3, 7) and (3,135) y =

A:

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: 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: The population in a small town in 2010 was 45,230 people and is growing exponentially at a rate of…

A: Given: The population of the town in 2010 was 45,230. rate of growth is 2%. An exponential growth…

Q: Find the exponential equation whose graph passes through the points (-2,4/25) and (2,100).   y=

A:

Q: In 2011, the population of a district was 31,600. With a continuous annual growth rate of…

A:

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

A:

Q: Find a formula for the exponential function passing through the points (-3, 27) and (3, 54). y =

A:

Q: Suppose a $40,000 car loses 13% of its value each year. Write an exponential equation and use it to…

A: Given- $40,000 , and its loses 13% of its value each year. To find-  In how many years (to the…

Q: Find a formula for the exponential function passing through the points (-3,,) and (1,10) y =

A: Given a function passing through the points (-3,58) and (1,10) we know the general form of the…

Q: A doctor prescribes 150 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

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Q: Which graph represents an exponential function with a y-intercept of (0,-2) and an enc Fx)- - o as x…

A:

Q: Find the equation of the exponential function that goes through the points (0, 2000) and (2, 20).

A: First write exponential form Then pass through given points

Q: Find a formula for the exponential function passing through the points (-1,5/4) and (2,80) y =

A:

Q: A petri dish currently has a population of 10 bacteria and the population doubles every year. Write…

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Q: what is the equation of the exponential function that goes through the points (1,10) and (4,80)?

A: solution:-

Q: Find a formula for the exponential function passing through the points (-3, -) and (1, 6). 27 y =

A:

Q: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. Write…

A: A doctor prescribes 200 milligrams of a therapeutic drug that decays by about 25% each hour. To…

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

Q: Estimate the value of y in the exponential equation 500 = 10y.

A:

Q: Find the exponential equation whose graph passes through the points (-1,) and (1,10) y =

A:

Q: The value of a collectible toy is increasing exponentially. The

A: Given the collectible toy is increased exponentially. The two points on the graph show the toy's…

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A:

Q: Kyle invests in an account earning 7.75% interest compounded continuously. How long will it take to…

A:

Q: The population of a city is 7 million, with exponential growth rate 4%. In how many years will the…

A:

Q: Find the exponential equation whose graph passes through the points (-3,3/8) and (1,6).…

A: The general form of an exponential equation is y=abx where a, b are any constants. The given two…

Q: How do I tell if an equation is Exponential?

A: Question is based on exponential.

Q: The price of a computer component is decreasing at a rate of 13​% per year. State whether this…

A: The price of a computer component is decreasing at 13% per year. Now, let the initial price of the…

Q: A radioactive substance, calculuism, has a half life of 72 years. If the amount after 40 years is 92…

A:

Q: Find a formula for the exponential function passing through the points (-2, and (2, 32). y =

A: Topic- exponential function

Q: The population of a town is increasing by 636 people per year. State whether this growth is linear…

A:

Q: Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon…

A: Given; A=Ao e^(-0.0001213)

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.