A certain quantity Q has an intial value of 80 and grows at a rate of 7% per month.  Give an exponential function that describes this quantity.  (Use t in months as your variable)

Q: bacillus subtilis, a type of a bacteria responsible for the decomposition of organic matter, grows…

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Q: The drug Valium is eliminated from the bloodstream exponentially with a half-fe of 36 hours. Suppose…

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Q: An exponential function has a decay factor of 0.80. What is the percentage decay rate?   %

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Q: There was a sample of 950 milligrams of a radioactive substance to start a study. Since then, the…

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Q: 12. How long will it take an investment that earns 17.6% annual interest, compounded continuously to…

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Q: A POPULATION OF INSECTS GROWS THERE Wtrt 170 INECTS AFTER THE THIRD DAY EXPONENTIALLY. OF THE…

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Q: The 2010 census' determined the population of the US was 308.75 million on April 1, 2010. If the…

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Q: 5. A man invested 1000 dollars in an account. How long will it take before this investment will…

A: Given: Principal investment (P)= $1000 Final amount (A)= $3000 Rate (R)= 5 % Let time be t years…

Q: nitially, there are 600 grams of a radioactive substance on hand. Suppose the half-life of the…

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Q: The monthly percentage growth rate for a certain exponential function is 3%. By what percentage does…

A: Monthly growth percentage of exponential function is 3%.

Q: The population of a country was 117 million in 1998 and the continuous exponential growth rate was…

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Q: Let P = P(t) be a quantity that obeys an exponential growth law with growth constant k. Show that P…

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Q: The U.S. Census Bureau keeps a runningclock totaling the U.S. population. On September 20, 2012,…

A: Given that, on September 20, 2012, the total population was increasing at the rate of 1 person every…

Q: The average cost of a year at a private four-year college grew exponentially from $21,855 in 2000 to…

A: "t" years later the cost function become C(t)=abt . Therefor,  abt=21,855 . After 10 years , in…

Q: The projected value of an investment is modeled by the exponential function V(t) = 25,000(1.115)t,…

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Q: A species of beetles grows 41% every year. Suppose 100 beetles are released into a field construct…

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Q: An unknown radioactive element decays into non- radioactive substances. In 240 days the…

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Q: Find an equation for an exponential function that passes through the pair of points given. (Round…

A: Exponential equation that pair passes through (2, 36) and (4, 324) points

Q: Find the equation for an exponential function that passes through the pair of points given below.…

A: Given, An exponential function passes through the points 1, 1.2 and 2, 0.72 We have to find the…

Q: A certain quantity Q has an initial value of 7 and decays by 4% each year. Give an exponential…

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Q: between the (Ln) function and the exponential function (e)

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Q: The drug Valium is eliminated from the bloodstream exponentially with a half-fe of 36 hours. Suppose…

A: Given - The drug Valium is estimated from the bloodstream exponentially with a half-life of 36…

Q: Given the exponential growth function f(x) = 82(1.032)* What is the initial value of the function?…

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Q: A certain stock was purchased at $42. The stock decreases by 5% each year. Express this as an…

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Q: Find the equation for an exponential function that passes through the pair of points given below.…

A: Consider the general equation for exponential function. fx=aoekxFor 2,32, 32=aoe2kFor 4,512,…

Q: The half-life of a certain chemical is 3 years. What is its decay rate? Use the exponential decay…

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Q: A certain quantity Q has an initial value of 70 and grows at a rate of 5% per month. Give an…

A: The growth rate is r = 5%, that is, r = 0.05. Substitute r = 0.05 in the formula of growth factor as…

Q: The rate of auto thefts doubles every 10 months. (a) Determine, to two decimal places, the base b…

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Q: Example The lifetime (in years) of a certain brand of battery is exponentially distributed with A =…

A: We want to find the average  X~Exponential( λ=0.05)

Q: The drug Valium is eliminated from the bloodstream exponentially with a​ half-life of 36 hours.…

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Q: An exponential function has a growth of 1.05. What is the percentage growth rate?

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Q: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…

A: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…

Q: $4,000 was invested in an account that pays 3.5% interest compounded continuously. How many years…

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Q: The bacteria in a culture are treated with an experimental drug and are decreasing according to the…

A: The bacteria in a culture are treated with an experimental drug and are decreasing according to the…

Q: A computer, orginally purchased for $2000, loses value according to the exponential function V =…

A: Given information: The exponential equation of the computer at time t in years. V(t)=200012th, where…

Q: A certain quantity Q has an initial value of 5 and decays by 8% each day. Give an exponential…

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Q: Find the value of $1000 deposited in a bank at 12% interest for 8 yearsif it is compounded:   a)…

A: Given that: P=principle amount= $1000 r=interest rate=12%=0.12 t=time=8 years A= final amount

Q: The drug Valium is eliminated from the bloodstream exponentially with a half-life of 36 hours.…

A: Given that the initial dose is 40 milligrams of valium at midnight. The half-life of valium is 36…

Q: The rate of auto thefts doubles every 8 months. (a) Determine, to two decimal places, the base b for…

A: the rate of auto thefts doubles every 8 month.

Q: The population of a country was 113 million in 1990 and the continuous exponential growth rate was…

A: Given, In 1990, Population P=113 million Growth rate r=3% per year Time n=2010-1990=20 years

Q: Assume a quantity decreases by 7.5% in 5.3 hours. What is the half-life of the substance? hours

A: Calculating the half life of the substance using the given conditions

Q: There was a sample of 600 milligrams of a radioactive substance to start a study. Since then, the…

A: Since, there was a sample of 600 milligrams of a radioactive substanceto start a study. Sample has…

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

A: let the exponential function be of the form y=Aekt where A is  value of substance at starting time…

Q: An exponential function has a decay factor of 0.60. What is the percentage decay rate?

A: Given: An exponential function has a decay factor of 0.60…

Q: An exponential function has a decay factor of 0.90. What is the percentage decay rate? %

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Q: The population of a country was 222 million in 1996 and the continuous exponential growth rate was…

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Q: Assume a quantity decreases by 5.1% in 7.5 hours.What is the half-life of the substance?

A: Given:A quantity decreases by 5.1% in 7.5 hours.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.