Please, provide all the steps. 4. One bucket starts at noon with two liters of water, and water is gradually leaking outat a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters ofwater, but water is leaking out at a faster rate of 9/1000 liters per minute. When will thetwo buckets have the same amount of water?5. The amount of a radioactive substance A is an exponential function of time t. Every 20minutes, the amount of the substance decreases by exactly 2.8%, and at time t = 0 minutes,there are 100 milligrams of the substance.( So at time t = 20, there will be exactly 97.2 milligrams of the substance )(a) Find an equation showing how A depends on t(b) By what percentage will the amount of the substance decrease from t = 0 to t = 200minutes ?(c) At what time will there be only 1 milligram of the substance ?6. Suppose the following limit information is known about a function F:lim F(x) = -T/2lim F(x) :lim (F(x) – 3x) = 0= -0%3Dx -00x→-2+x 00According to the information, write down equations of asymptotes to the graph of F.

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4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the two buckets have the same amount of water?

4. One bucket starts at noon with two liters of water, and water is gradually leaking out at a rate of 3/1000 liters per minute. A second bucket starts at noon with three liters of water, but water is leaking out at a faster rate of 9/1000 liters per minute. When will the two buckets have the same amount of water?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.5: Exponential And Logarithmic Models

Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...

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