Trout population A pond is stocked with 1000 trout. Three months later, it is estimated that 600 remain. Find a formula of the form N = Noat that can be used to estimate the num- ber of trout remaining after t months.

Q: Depreciation A company buys a machine for $475,000 that depreciates at a rate of 30% per year. Find…

A: The depreciation formula for the value of machine after n year is  A=P(1-r100)n In this question…

Q: The interest of a compound interest investment or loan can be computed with the formula I=A−PI=A-P…

A: Consider the given formula for final amount A and compound interest I. A=P1+rnnt and I=A-P The value…

Q: A water tank holds 3000 litres when full. A crack in the base is gradually getting larger resulting…

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Q: Housing prices in a particular neighborhood increased at rate of $1,200 per year.  If you bought a…

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Q: A professor makes $78,000 in his first year at college and gets a 9% raise each year. 1. Find a…

A: Topic = Algebra

Q: 23. An electrician charges an initial fee of $100, and $40 per hour for his work. a. Find a formula…

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Q: Bismuth-210 decays at a rate proportional to the amount present. A sample of Bismuth-210 that…

A: We need to find M(t).

Q: 7. Time to Double or Triple an investment The formula sbni od bilar In m t = Goianol of T n In 1 + |…

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Q: An amount A is initially 15. To find the next decade's amount, we multiply this decade's amount by…

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Q: tarting with an initial value of P(0)= 75, the population (t) = 10 (in units of prairie dogs/month),…

A: The growth rate of population of prairie dog community is  P'(t)=10-t5 given that,  P(0)=75 a) we…

Q: 124. Spreading of Rumors A model for the number N of people in a college community who have heard a…

A: Given equation is:                          N = P(1 - e-0.15d)

Q: ABSENT STUDENT The formula A = 1000 x 2 models the population, A, of aphids in a field of potato…

A: Concept: The population is represented by A=1000×2t Here for the present population the value of t=0…

Q: ​Uranium-238 (U-238) has a​ half-life of 4.5 billion years. Geologists find a rock containing a…

A: Given Uranium-238 (U-238) has a​ half-life of 4.5 billion years. Geologists find a rock containing a…

Q: An amount A is initially 3. To find next week's amount, we multiply this week's amount by 5. Find a…

A:

Q: A teacher makes $32,000 in his first year at Lakeside School and gets a 5% raise each year.(a) Find…

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Q: Interest Formula. Suppose you work at a bank and the manager provides a new type of formula to…

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Q: The balance of an investment is increasing according to the rule Next year's balance = 1.50 ×…

A: The balance of the investment is increasing by the formula, Next year's balance = 1.5×Current…

Q: an initial upward eity 6f 175 ft/s. The rocket's helght h (In feet) after t seconds Is glven by the…

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Q: Max invested $5000 in a money market account that compounds interest continuously for him at a rate…

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Q: An amount A is initially 17. To find next year's amount we multiply this year's amount by 2. Find a…

A: Answer is mentioned below

Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

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Q: The cost C (in dollars) to rent an apartment is $850 per month, plus a $450 nonrefundable security…

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Q: An initial population of 60 fish is introduced into a lake. This fish population grows acco lake…

A: Introduction: The formula of exponential growth model is given by, f(t)=aebt Where a, b are…

Q: Application Determine the values of P, n, and i in the formula A = P(1+i) for each of the following:…

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Q: 5. A boiling water 100°C is set on a table where the room temperature is assumed to be consistent at…

A: We will find the equation of temperature of water after t minutes by using Newton's law of cooling…

Q: 119. A fireworks mortar is shot straight upward with an initial velocity of 200 ft/sec from a…

A: Given: Initial velocity v0=200 ft/sec initial height s0=2 ft Formula: s=-12gt2+v0t+s0, where s=…

Q: Bacteria Culture A culture initially has 5000 bacteria, andits size increases by 8% every hour. How…

A: Solution: Consider the given number of bacteria initially is a0 = 5000 If the rate of size…

Q: 3. In the Fahrenheit scale, water freezes at 32°F and boils at 212°F; in the Celsius scale, water…

A: Celsius and Fahrenheit are units of temperature and are inter-convertible.

Q: Advertisement The number of people in a community of 15,360 who are reached by a particular…

A: Given model is Nt=140001+100e-0.6t  ....1 and Nt=15360

Q: For a certain college, the cost C (in $) for taking classes the first semester is $105 per…

A: Consider, n stand for number of per credit-hour and L stand for number of labs and one-time…

Q: If you invest x dollars at 4% interest compounded annually, then the amount A(x) of the investment…

A: Given, Ax=1.04x. Then we have to calculate A∘Ax,A∘A∘Ax, and A∘A∘Ax.

Q: . Instantaneous Speed of a Ball In physics it is shown that the height s of a ball thrown straight…

A: The height of the thrown up into the air initial speed of 96ftsecfrom a rooftop 112 feet high is  s…

Q: The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate…

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Q: duces two pieces. Two cuts produce three pieces. Tiuce cuts produce four pieces. Pieces vs. Cuts One…

A: There is absolutely no clarity as what do you want us to help you out with. The only question…

Q: An amount A is initially 10. To find next year's amount, we multiply this year's amount by 2. Find a…

A: Given: Initial amount = 10 next year's amount is equal to 2 times the previous year's amount.     To…

Q: Housing prices in a particular neighborhood increased a rate of $1200 per year if you bought a home…

A: topic - linear equations in one variable

Q: tion with Irration... A model rocket is launched with an initial upward velocity of 105 ft/s. The…

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Q: Fish Population A large pond is stocked with fish. The fish population P is modeled by the formula P…

A: We have model P(t)=3t+10t+140. We have to find t such that P(t)=500.

Q: 87. Fish Population The fish population in a certain lake rises and falls according to the formula F…

A: Given: The fish population in a certain lake rises and falls according to the formula…

Q: A person invests $2000 in an account at 2% interest compounded annually. The value V (in dollars) of…

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Q: Volume of Water Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a…

A: V=999.87-0.06426T+0.0085043T2-0.0000679T3 Differentiating with respect to T, we get…

Q: A tank holds a 42 liter solution of alcohol and salt. Initially, the solution contains 5 grams of…

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Q: 2. Maria deposits $10,000 in the bank. Each month thereafter she deposits $1000 a month . Use…

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Q: In 2018, the population of a town was 20, 693 and growing at the constant rate of 56 people per…

A: Given, Population of town in 2008= 20693 Rate of growth= 56 people/year

Q: 11) Average Population: The population of the United States is predicted to be P(t) = 309eº average…

A:

Q: Four hundred grams of a radioactive material decays according to the formula A = 400(2/3)^t, where t…

A: Given: Radioactive material decays according to the formula: A = 400(2/3)^t where t is measured in…

Q: Speed of a Car A car has an odometer reading of 15,951 miles, which is a palindromic number. After 2…

A: Find the next palindromic number and then use the formula for speed to yield the result. The speed…

Q: Investment The future value of an investment of$8000 at interest rate r (as a decimal),…

A: Since S indicates the future value, substitute S=9261 in the equation S=8000(1+r)3 and divide both…

Q: A real estate investment, originally worth $7000, grows continuously at the rate of  400e0.04t…

A: Given: original worth of investment= $7000 that grows continuously at the rate of 400e0.04t dollars…

Q: 3000 population of fish in a newly dug pond grows according to the equation P = where time t is…

A: Given query is to find population of the fish when pound dug.