what happens to the value of y as x increases in value in the equation y=3^x

Q: There were 100 grams of a radioactive substance ten years ago, now there are only 32 grams. Then,…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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Q: A certain drug can be traced in the bloodstream for a short amount of time. Given that there is 300g…

A: Initial Amount of drug present in blood stream = 300g  Concentration of drug depletes per minute =…

Q: A certain radioactive element decays over time according to the equation where 4= the number of…

A: Solution attached below

Q: How does (1/ln10)((-10^z)/(ln10)) become -1/((10^z)(ln10)^2)?

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Q: suppose the half-life of caffeine in the bloodstream of a healthy adult is 6 hours. If the person…

A: Given: initial quantity of caffeine C0=200 mgt=12 hrs (11 am to 11 pm)half life t12= ln 2K…

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: What rate of interest compounded annually is required to double an investment in 2 years?   The…

A: Let the final amount is A.   As we know that the expression for the amount is:   A=P1+rnnt   Where:…

Q: During a 5-year period of constant inflation, the value of a $105,000 property increases according…

A: Equation isv=105,000×e0.04tthe current value is $105,000double =2×105,000so we put this value in…

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

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

Q: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

A: Suppose that you borrow 20000 dollars from a bank, and that the bank charges 4 percent annual…

Q: There were 100 grams of a radioactive substance ten years ago, now there are only 32 grams. Then,…

A: Here we have to find the half-life time.

Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.4 grams of carbon-14 to be…

A: We have to find

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: The half-life of carbon-14 is about 5730 years. a. Complete the table, which shows the amount of…

A: .

Q: It will take _____ years to double.    How long will it take if the interest is compou

A: Compound interest: $3,800 to double if it is invested at 8% annual interest compounded 2 times a…

Q: The continuous rain causes the current of the water of the river to increase its rate. After each…

A: Initial current of the water = 12 km/hAfter every hour current increases by 2%.Current after 1 hour…

Q: 1) loga(3-1ogalx-)=2

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Q: The half-life of radium in a piece of lead is 1600 years. What percentage of the original amount of…

A: Given that, the half-life of radium in a piece of lead is 1600 years. Note that, the formula for…

Q: In order to compare amounts of two different substances, it is necessary to figure out the amount of…

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Q: The half-life of a certain substance is 3.6 days. How long will it take for 20 g of the substance to…

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Q: The half-life of Radium-226 is 1590 years. If a sample contains 400 mg, how many mg will remain…

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Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5) without a calculator

A: Given equation is :Moving all the logarithm terms and using the property: ln(a) – ln(b) =…

Q: Suppose an equilateral triangle has edges of lengths x. As the lengths of the edges increase, the…

A: Given An equilateral triangle, Area increase=(3^0.5)/2

Q: A couple paid 30000 dollars for a house forty years ago. Today, they sold the housefor 250000…

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Q: The half-life of radioactive potassium is 1.3 billion years. If 10 grams is present now, how much…

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Q: Carbon extracted from an ancient skull combined only one-sixth as much as C14 as carbon extracted…

A: Let's find age of skull.

Q: Polonium -210 is a radioactive substance with a halflife of 138 days. if a nuclear facility is…

A: Given: Half life of polonium 210  = 138 days Initial quantity = 245 gms

Q: How long will it take for $4000 to double in value if it is deposited in an account bearing 7%…

A: Continuous compound interest formula: A=Pert P-principle A-Amount r-rate t-number of years.

Q: A bank note will be worth $75,500 when it matures in 8 years. If the note pays 3.93% per year…

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Q: In the first few weeks after birth, a baby gains weight at a rate proportional to its weight. A baby…

A: Introduction: Differential Equation packages are beneficial in each educational and realistic…

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

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Q: A radioactive substance has a half-life of 3000 years. If you start with 100 kg of it, how much will…

A: In 1 half life amount becomes half of its initial value. After n half life it becomes 1/2n of its…

Q: The rate of active element carbon 14 has a 1/2 life of 5750 years a scientist determined that the…

A: Given: carbon 14 has a 1/2 life of 5750 years  To find : how old were the bones at the time they…

Q: solve for x   ln(x)=.0807

A: We want  to free up x from natural  log. So take exponential  on both side.

Q: true or false  if a person works at the rate of 2/15 of the job per hour, then at the end of 3…

A: The work done by the person in 1 hour = 215 The work done in 3 hours = 215×3=615 Therefore, 615 of…

Q: The half-life of erbium-160 is 1.191 days. If a sample has a mass of 500 mg, find the mass (in mg)…

A: Given half life  t12=1.191 days and initial mass  A0=500 mg

Q: Find exponential equation with (-3,6) (5,1

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Q: Aman with $30,000 to invest decides to diversity his investments by placing $15,000 in an account…

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Q: An accidental spill of 65 grams of radioactive material in a local stream has led to the presence of…

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Q: Global warming is causing the temperatures around the world to rise. If the average temperature of…

A: The exponential growth can be modelled using the equation f(t)=a1+rt. Here, r is the rate of growth…

Q: Let us say that an equation for deaths in relation to the availability of healthcare services is…

A: Given information: An exponential function is given.

Q: A bacteria culture starts with 100 bacteria and grows exponentially, after 1 hour the population is…

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Q: A sample of bacteria taken from a river has an initial concentrationof 2.5million bacteria per…

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Q: Solve exactly:  6 ln(x) = 5

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Q: In the last 4 line, where is the ^2 in the ln part?

A: The given integral,      ∫13arctanx dx

Q: $16000 is invested at an APR of 3.5% compounded daily. Write a numerical expression that represents…

A: Compound Interest Formula  Compound interest  =…

Q: A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…

A: Given:A bank note will be worth $76,000 when it matures in 4 years. If the note pays 3.63% per year…