if water rises 1/2 inch in 3/7 of a week in a water reservoir, at what rate is the water rising per week

Q: An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after…

A: Given An environmentalist find that a certain types of tree grows in such a way that its height h(t)…

Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

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Q: If $5000 is invested at 8% compounded continuously, what is the amount after 3 years? The amount…

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Q: If $5000 is invested at 3% compounded continuously, what is the amount after 3 years? The amount…

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Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: If $7000 is invested at 7% compounded continuously, what is the amount after 7 years? The amount…

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Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: What rate is required to grow 100 to 10,000 in 10 years?

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Q: A radioactive substance decays in such a way that the amount left after t years is given by A=100e…

A: Follow the procedure given below.

Q: Find the amount A in dollars of $3000 invested for 30 years at 12% compounded continuously (round to…

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Q: Which of these would be an appropriate unit to describe the growth rate on a patch of ground that is…

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Q: If a piece of machinery depreciates continuously at an annual rate of 4%, how many years will it…

A: To find: The number of years it will take for the value of machinery to halve. Concept used: The…

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

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Q: An isotope of cesium has a half life of 29 years. If 1300 grams of cesium disintegrates over a…

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Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

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Q: If ω'(t) is the rate of growth of a child in pounds per year,what does  ∫510 ω'(t)  dt   represent?

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Q: Suppose the population of certain fungi in a laboratory sample is 12. (A) If it quintuples in…

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Q: An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after…

A: The rate at which the height of the tree changes is given by,h'(t)=3t2+t    ft/yr…

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: The population of Jefferson City is 95,000. Assuming a growth rate of 2.5% pee year, what will the…

A: Given that population of Jefferson city is P=95,000.  growth rate is R=2.5% per year we have to find…

Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…

A: Given :             The amount invested is $1000.             Interest rate = 12% per year.…

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

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Q: The half-life of Radium-226 is 14 years. How much of an initial 143 g sample will remain after 43…

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Q: A rumor is spreading through town at a rate of ť + 10t new people/day. Approximately how many people…

A: Given rate t2+10t new people/day

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

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Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

Q: The half-life of radium-225 is approximately 14.9 days. How much of a 15 gram sample of radium-225…

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Q: An environmental study of a certain community suggests that t years from now the level of carbon…

A: Let's find.

Q: If the area A = s of an expanding square is increasing at the constant rate of 8 square inches

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Q: 1. The rate of decay of radium is said to be proportional to the amount of radium present. If the…

A: Since you posted two questions here, i can answer only first one at a time. Please repost other…

Q: How much money must be invested now at 10% interest compounded continuously so that $120, 000 will…

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Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

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Q: If the rate of growth of a population continues at 2%, in how many years will the population double?…

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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: If ​$7000 is invested at 5​% compounded​ continuously, what is the amount after 7 ​years? round…

A: Given, Initial amount=$7000 Rate of interest=5%=0.05 Period=7years

Q: In an experiment, the population of C of a certain type of a bacteria int hours, is given by... C(t)…

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Q: With an initial deposit of 400 dollars, the balance in a bank account after t years is…

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Q: Suppose a pollutant is seeping into the ground near a dump site at the rate of 7200 f(t) (* + 1.5)"

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Q: Given 100 grams of bacteria that decreases at a rate of 1/2 per year. What would be an appropriate…

A: Initial value: 100, Rate: 1/2 per year(decreases). So, the population equation is p(t)=100e-12t…

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

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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.

Q: Suppose that you invest $8,000 at 8% interest compounded continuously. How much money will be in…

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