# 4 Pick the equation that is exponential growth. Y = 5.8x Go to #1 Y = 5.8 (:)" Go to #3 Y=(5.8)* Go to #7 Y = -3x Go to #8

Q: A sample of radioactive material has a half-life of about 1200 years. An initial sample weighs 20…

A: Given half life of the radioactive sample is about 1200 grand initial sample weight is 20 grams.

Q: The amount of​ carbon-14 present in a paint after t years is given by y=yoe^−0.00012t. The paint…

A: Given amount of carbon-14 present in a paint after t years is            y = y0 e^- 0.00012t If t= 0…

Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

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Q: B- The production of the oil well decline exponentially, the initial flow rate is 1500 STB/day , the…

A: exponential model P = Abt  where P is production t is time, A and B are constants. for exponential…

Q: $10,000 is invested at an annual interest rate of 11% for a period of 5 value of the investment if…

A: the formula used to find the interest which is compounded continuously is Amount=Pert where A is the…

Q: The population (in millions)  Ukraine in 2015 is 44.4 and the expected continuous annual rate of…

A: Given: The population(in millions) of a country in 2015 is P = 44.4 million,  the expected…

Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

A: Given, Suppose $500 is deposited into an account paying interest at a rate of 7% continuously…

Q: At the beginning of an experiment, a scientist has 116 grams of radioactive goo. After 90 minutes,…

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Q: Find the time required for an initial investment of $2000 to reach $3500 if the interest is…

A: Topic- continuous compound interest

Q: 41. Time Required to Reach a Goal How many years will it take for an initial investment of $10,000…

A: Consider that the initial investment of $10,000 compounded annually to grow to $25000, with rate of…

Q: Match the exponential function with its graph. II 2- III IV (a) f(x) = -2x ---Select- v…

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Q: An overweight man makes lifestyle changes in order to lose weight. His starting weight is 260 pounds…

A: Given from the question:   Starting weight = 260 pounds   Target weight = 200 pounds   The…

Q: The half-life of Radium-226 is 1590 years. What is the annual decay rate? Express the decimal result…

A: Given data:   The given half-life of Radium-226 is T1/2=1590.   The expression for the annual decay…

Q: The half-life of caffeine in a healthy adult's bloodstream is 5.7 hours. Suppose Alex, a healthy…

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Q: One type of lodine disintegrates continuously at a constant rate of 8.6% per day. Suppose the…

A: a. The model of the decay equation is given by P=P0ekt Here P0=10 grams of iodine         k = rate…

Q: An investment of $75,000 increases at a rate of 12.5% per year. Find e value of the investment after…

A: An investment of 75,000 increases at a rate 12.5% per year. Find the value of the investment after…

Q: 5 Find a formula for the exponential function passing through the points (-2,6) and (1,20) y =

A: To find the exponential function passing through two given points

Q: The population (in millions) of  Canada in 2015 is 35.1 and the expected continuous annual rate of…

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Q: A recently installed machine earns the company revenue at a continuous rate of 60,000t + 45,000…

A: (a) We have to find the present value of the revenue earned by the machine during the first year of…

Q: Find the present value. 1 To get $70 after 25 years at 6% compounded continuously The present value…

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Q: Suppose that P dollars in principal is invested in an account earning 3.9% interest compounded…

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Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

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Q: A scientist wants to determine the halflife of a certain radioactive substance. She determines that…

A: The half life function is given by: N(t)=N0(0.5)t/t1/2 where N(t) is the final amount in milligrams…

Q: 9) The half-life of Erbium-165 is 10.4 hours. After 41.6 hours, a sample of Erbium-165 has reduced…

A: Half life of Erbium-165 is 10.4 hours.

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: Given: Initial investment p0 that will grow to 60,000 for the child education at age 17 interest is…

Q: 4. A deposit of $2000 is invested in an account that earns 4.5% interest. Write the equation and…

A: Amount after 't' years: A = Pert

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: Find the present value Po of each amount P due t years in the future and invested at interest rate…

A: Given: The amount P= $100,000 The time is t= 6 years. The rate of interest is k=3%

Q: (3) Suppose we invested $20,000 at an annual rate of 5% where interest is compounded continuously.…

A: The main objective is to frame differential equation and solve them by using initial condition.

Q: A spring is attached to the ceiling and pulled 15 cm down from equilibrium and released. After 2…

A: Find the equation for the amplitude in terms of t as variable using the exponential decay equation.

Q: 4. Communicate Precisely How are exponential growth functions similar to exponential decay…

A: Similarities: Exponential growth and decay equations is an mathematical equations that involves…

Q: What is the present value of the firm’s revenue stream given that the time path for a firm’s revenue…

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Q: In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was…

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Q: Find exponential function y=Ce^kt that passes through the two given points. (0,4/5) , (7,4) How do…

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Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the…

A: Mass of radioactive sample at the beginning of 10th day is : 74.3 gram.

Q: An investment was valued at $50,000 in the year 2000. The value appreciated to $104,000 by the year…

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Q: The population of Ukraine in 2015 was 44.4 million and the expected continuous annual rate of change…

A: The exponential growth model is given by the formula where A is initial population, k is the annual…

Q: 2. An antique computer valued at $6500 depreciates at the rate of 14% per year (b 0.86). Circle one:…

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Q: The average gain in life expectancy at birth in the US has remained almost constant for 150 years,…

A: Given:The average gain in life expectancy is equals to 3 months per year. Converting it in years so…

Q: . Suppose an investment is project to generate income at the rate of R(t) = 150,000 dollars per year…

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Q: Suppose that P dollars in principal is invested in an account earning 3.4% interest compounded…

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Q: 1. You invest $200 at 10% annual interest compounded continuously. How much do you have after 5…

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Q: Find the associated exponential decay or growth model. (Round all coefficients to three significant…

A: Given:  Q = 2,200 when t = 0; half-life = 4 As half - life is given , so it will decay .

Q: 3 Find a formula for the exponential function passing through the points (-2,-) and (1,6)

A: The exponential function is given by f(x)=abx Find values of a,b using the following conditions:…

Q: 6. Find dthe time required for an investment of $10,000 to grow to $18,000 at an annual interest…

A: 6) Given: P=$10,000, A=$18,000 and r=6%=0.06. The Compound Interest Formula is given by,  A=P1+rnnt…

Q: 2 Few items exist in the world that can appreciate in value like a rare diamond. The estimated value…

A: This is a problem related to exponential function. Based on the general formula and concept we will…

Q: The exponential function f(x) = A · Bº crosses the y-axis at the point (0, 2100) and has a decay…

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Q: 3. The rate of growth of an investment is proportional to the amount of the investment at any time…

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Q: half-life of caffeine in a healthy adult's bloodstream is 5.7 hours. Suppose Alex, a healthy adult,…

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Q: An investor has $4000 to invest in either a bond that matures in 4 years or a business that will…

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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.