If the population of a small city is 45,000. If the population grows continuously by 5% per​ year, in how many years will the population reach 75,000​?

Q: How many years will it take a $815 investment to be worth $1,392 if it continuously compound at 7%…

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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: $13,000 is deposited into a savings account with an annual interest rate of 3% compounded…

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Q: If $35,000 is invested at 2.9% interest compounded continuously, how long will it take for the…

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Q: 10. Oscar invests $46,200 in an account that earns 3.675% interest, compounded continuously. How…

A: Given , Oscar invested amount 46,200 dollars .             Interest is 3.675% it is compound…

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

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

Q: The half life of carbon-14 is 5730 years. How long will a certain amount of carbon - 14 decay by 90%…

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Q: consider an investment where $43000 is invested for years at 8% compounded continuously? how much…

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Q: If $5,000 is deposited in an account that receives 6.1% interest compounded continuously, how much…

A: Given, Initial amount deposited, P=$5,000Rate of interest, r=6.1%=0.61

Q: Suppose a sample of a certain substance decayed to 65.8% of its original amount after 300 days. (Ro…

A: Given that the substance decayed to 65.8% of its original amount after 300 days. (a) To determine…

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

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Q: Ask The population of Northern Cascadia is growing at a rate of 20% every 3 years. Assuming that it…

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Q: If radio active carbon-14 has a half -life of 5750 years ,what will remain of one gram after 3000…

A: The formula for the half-life is given by Nt=N012tt12 where N(t) is the amount of substance…

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

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Q: A depositor places $10,000 in a certificate of deposit which pays 6% interest per annum, compounded…

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Q: Suppose you deposit $800 in an account that pays 4.25% annual interest compounded quarterly for five…

A: The principal amount is: P=$800 Rate of interest: r=4.25% And the time: t=5 years The interest is…

Q: If $20,000 is invested in a savings account offering 3.5% per year, compounded continuously, how…

A: According to the question, we have to find the total amount after 3 years , If $20,000 is invested…

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

A: Formula to calculate continuously compounded interest: A = Pert where, A is Amount at time t,P =…

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 4 years.

A: Given : Invest amount ( P ) = $ 12,104 . Interest rate ( r) = 6.2 %  Period ( t) = 4 years

Q: A culture of a certain bacterium grows according to the law of exponential growth. If there were 130…

A: 1. The exponential growth is given by the where N(t) is the no of insects at a time t .N0 is the…

Q: A city has a population of 230000 people. Suppose that each year the population grows by 4% . What…

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Q: The population of a southern city follows the exponential law. If the population doubled in size…

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Q: A Bank offered 1 3/4% interest on savings accounts compounded continuously. How much is a $5000…

A: The formula used for evaluating the amount accumulated on the amount saved in the bank compounded…

Q: What amount must be invested at 9% compounded continuously, so that it will be worth $35,000 after 5…

A: The total amount (A) obtained after t years by investing an initial amount of P in a firm or account…

Q: If Sandago has a present population of 70,000 and the population is increasing by 3% each year. 1.…

A: The function that models the population at time t is given by, Pt=P0ert, where P0 is the initial…

Q: How many years will it take a $766 investment to be worth $1,147 if it continuously compound at 1%…

A: We know that when interest is compounded yearly then amount is given as: A=P1+rnnt where, P is…

Q: A sample of a newly discovered element, West Virginium, has a half-life of 295 years. How long will…

A: We have to find out t

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: If Hannah places $ 4500 into an account earning 7.25% interest compounded continuously, how much…

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Q: If $2000 is invested at 6% interest, find the amounts due to the nearest cent at the end of 4 years…

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Q: The population of a southern city follows the exponential law. If the population doubled in size…

A: The exponential equation for finding doubled the population is,

Q: If $12,000 is deposited in an account paying 8% interest per year, compounded continuously, how long…

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

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Q: If the present population (x = 0) is 9000, what population size is expected in 144 years?

A: Given dervitative function - dNdx = -400x+256where,N = number of total school population.x = number…

Q: How much money would be in an account if $2, 000 is deposited at 6 % interest compounded…

A: *concept:- compound interest formula.

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

A: We can find the required year in the following steps.

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

A:

Q: The initial population of a town is 3300​, and it grows with a doubling time of 10 years. What will…

A: We will apply compounding formula to find population

Q: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this isotope, how…

A: To determine: A particular isotope has a half-life of 1 minutes.  If you start with 1 gram of this…

Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period 4…

A: A= P ert

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: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

Q: . How long, to the nearest year, will it take me to become a millionaire if I invest $1,000 at 10%…

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Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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Q: Only 40% of the carbon-14 in a wooden bowl remains. How old is the bowl (rounded to the nearest…

A: Consider the given informationRemaining amount of carban-14 = 40%Now The radioactive decay equation

Q: d. If the same account and interest were compounded continuously, how much money would the account…

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Q: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

A: The half-life of radium is 1690 years. If 150 grams is present now, how long (to the nearest year)…

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.