97. Carbon Dating The age of an ancient artifact can be deter- mined by the amount of radioactive carbon-14 remaining in it. If D, is the original amount of carbon-14 and D is the amount remaining, then the artifact's age A (in years) is given by A = -8267 In( Find the age of an object if the amount D of carbon-14 that remains in the object is 73% of the original amount Dg.

Q: A substance’s decay function is represented by the equation y=10(0.87)x, where x is in hours. How…

A: Given query is to find the time when only 2.5 unit is left.

Q: The value of your stock investment decreased by 35% after a stock market crash. What percentage…

A: The percent increase or decrease is calculated using the formula: % increase or decrease=Final…

Q: Suppose for a particular commodity, e = .25 and that currently 90,000 units are selling for $7 each.…

A: This question is related to price and revenue functions, we will solve it using given information.

Q: 993 + 5x + 0.16x2. Use e level of production is changed

A: The given cost function is Cx=993+5x+0.16x2. We have to calculate the level of production change.

Q: The value of a car purchased for $40,000 decreases at a rate of 12% per year. What will be the value…

A: The exponential decay equation is given by:- 'A=P(1-r)t, P=Initia; value, r=rate of decay, t = time

Q: 4. A population of llamas stranded on a dessert island is decreasing due to a food shortage by 6%…

A: Depreciation rate of population: r = 6% Let the population at time t is: P(t)

Q: what 070, year would the account be worth one billion dollars? 56. A certain drug has a half-life of…

A: A certain drug has a half-life of about 3 days. That is, after 3 days of taking the drug, only half…

Q: 16. A new car costs $28 500. It loses 11.4% of its value each year after it is purchased. Determine…

A:

Q: Have you ever heard of Chamberlain's formula, which claims to be a model that tells you how many…

A: Given thatG=new car's gas mileage=33M=old car's gas mileage=13C=the cost of the new car=30000D=the…

Q: 8.1.79 E Question Help A 6000-seat theater has tickets for sale at $26 and $40. How many tickets…

A: Suppose that x tickets were sold at $26 and y tickets were sold at $40. Then from the given…

Q: 5. At 12:00 midnight, with the temperature inside the warehouse at 70 °F and outside temperature at…

A: Given that, Ts = 20oF At starting (t = 0) To = 70oF after two hours (t = 2), T = 50oF we have to…

Q: 30 6. Determines the value of E 1+

A: First we need to find a1and a30: To find a1:- substitute i=1. a1=1+131a1=1+13a1=43 To find a30:…

Q: 11. You are cooking aleecha, an Ethiopian stew. When you take it off the stove the temperature is…

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A:

Q: Health Care The "half-life" of a medicine is the period of time it takes for the metabolic process…

A: The formula for the quantity of any substance remaining after t time is given by the formula Nt =…

Q: The amount of Actinium left in a lab sample in grams after t years can be modeled by 22 AG) = 5)" 1…

A:

Q: 13) The market research department for an automobile company estimates that sales (in millions of…

A: Given data: The expression for the rate at which electric car increases is S'(t)=4e-0.08t. The given…

Q: 13. After a recent Arlington High School basketball game, traffic was exiting the parking lot at a…

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 5. Application As a sample of a radioactive element decays into more stable elements, the amount of…

A:

Q: of the education level of the ance is given below:

A: Given : In a survey conducted with 1340 people, the cross-chart of the education level of the people…

Q: 4 Radioactive decay results in the release of energy and matter from the nucleus of an atom. If the…

A:

Q: Connect math Title l2 |-22-2022 Ethanol Fuel mixtures have "E" numbers that indicate the percentage…

A:

Q: 3 1 A recipe for banana oat muffins calls for cup of old fashioned oats. You are making 4 of the…

A:

Q: hours, 4 inches of snow has fallen. If it continues to snow at the same rate,how many inches of snow

A: Snow is falling steadily in Syracuse, New York.  After 2 hours, 4 inches of snow has fallen. It…

Q: 8. A boat costs $15,500 and decreases in value by 10% per year. How much will the boat be worth…

A:

Q: he​ half-life of the radioactive element unobtanium-41 is 10 seconds. If 176 grams of unobtanium-41…

A: Consider the formula for rate decay: y=yoekt Where, y=Final amountyo=Initial amountk=Rate As half…

Q: 32. a) How much power will be available after 120 days? b) How much power will be available after…

A: Please refer the attached image for complete solution.

Q: 1995, the average number n of transistors on a computer chip can be modeled by n = 2,300(1. 59)…

A: We will solve the problem

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Introduction: A rate of change is the relationship between a change in an output quantity and a…

Q: The radioactive element Carbon-14 has a half-life of approximately 5730 years. A fossil is measure…

A:

Q: Suppose for a particular commodity, e = 1.4 and that currently 90,000 units are selling for $20…

A: We have to find the decrease in revenue due to increase in price by 1%.

Q: 12 You have 20 grams of Argon-18. Its half-life is 1 minute. How long would it take to have 2.7…

A:

Q: 7.92×10^10 of individual's net worth. Suppose that this individual now decides to give one-eighth of…

A: It is given that, the individual's net worth is 7.92×10^10.Compute the amount that is given to the…

Q: image attached

A:

Q: 7. The actual half-life of amoxicillin is about 62 minutes. Recall that half-life is the amount of…

A: The actual half-life of amoxicillin is about 62 minutes. Recall that half-life is the amount of time…

Q: 1. In 2002 the population of school children in a city was 90,000. This population increases at a…

A: As per bartleby guidelines for more than one questions asked only one question is to be solved.…

Q: 5. Cobalt 60, which has a half-life of 5.3 years, is used in medical radiology. Most of the world's…

A: Here, t12=5.3

Q: 10mg of a radioactive substance with a half-life of 20 hours is injected into a patient's…

A:

Q: 2. A thermometer reading 45°C is brought outside where the temperature is 25°C. Five minutes later…

A:

Q: e. An apple orchard now has 80 trees per hectare and the average yield is 400 apples per tree. For…

A:

Q: Can someone explain how the problem is solved using the work attached? Thanks A radioactive isotope…

A: We need to find time.

Q: The forensics team at a crime scene measures the temperature of a dead body twice. the 1st time,…

A:

Q: 12 You have 20 grams of Argon-18. Its half-life is 1 minute. How long would it take to have 2.7…

A: A(t)=A0(1/2)^(t/t1/2)

Q: 8. (4 pts) Ryan is a wrestler trying to make weight. He currently weighs 200 lbs. If he cuts 2 Ibs.…

A: 13 week

Q: [5] 3. A cup of coffee has a temperature of 90° C when it is poured and allowed to cool in a room…

A: To apply Newton law of cooling, T=Ts+To-Tse-kt…

Q: 47. In 2012, the population of Mexico was 115 million and growing 1.09% annually, while the…

A:

Q: A drug leaves the body at the rate of 20 ng/min at the start of a 10-minute period, and the rate of…

A: Solve the given problem

Q: 15. Liz Mulig eams $52,000 per year as a philosophy professor. She receives a raise of 2.5% in a…

A: Given that Earning per year = $52,000 Raise in earning = 2.5% Increases in CPI = 3.8% To find the…

Q: 8 49

A:

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.