Find the order of growth for the following function.  = (3n^5+4n^4+5n^2+4)/(8n^2+7n+2)

Q: suppose the population of a certain bacteria in a laboratory sample is 100. if it is doubles in…

A: Given: The population of a certain bacteria in a laboratory sample is 100 and it is doubles in…

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

A:

Q: Find the effective rate of interest. For 6% compounded continuously

A:

Q: What is the total amount of 24000 TL with 4,8 % continuously compound interest after 5 years?

A: Consider the formula for continuous compounding, A=P·er·tHere,P=principalr=rate of interestt=time…

Q: population

A:

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: Average health premiums have been increasing at a rate of 10%. If an average family's premiums are…

A:

Q: Suppose the initial public offering of a stock is $100 and it's doubling every month how fast is the…

A:

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

A:

Q: A car washing machine is expected to generate $40,000 in revenue per year, for the next 5 years. If…

A:

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 75% a…

A: Given problem Given that   Suppose 275 trout are seeded into a lake. Absent constraint, their…

Q: Suppose the population of a city has been growing at a rate of 2.5% per year for each of the last 8…

A:

Q: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: Suppose 175 trout are seeded into a lake. Absent constraint, their population will grow by 45% a…

A: At initially 175 trouts are present,Population will grow by 45% a year,Maximum trouts which can be…

Q: What rate is required to grow 750 to 7500 in 14 years?

A:

Q: Find the amount that results from each investment. $400 invested at 7% compounded continuously after…

A: To find the amount that results from investment $400 at 7% continuously after a period of 3 years.…

Q: A car washing machine is expected to generate $40,000 in revenue per year, for the next 5 years. If…

A:

Q: Suppose that you have $2500 to invest at 4% compounded continuously.  The accumulated amount after…

A: Given investment amount $2500 and rate of interest r=4%=4100=0.04. Compounded continuously. The main…

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: Assume that a population of E. coli bacteria doubles every 20 minutes. Construct a table that shows…

A: Given that, The population of E. coli bacteria doubles every 20 minutes. Initially Population start…

Q: A certain specimen of charcoal contains 55% of Carbon – 14 as compared to a charcoal at present day.…

A: Given- X=X0e-kt  and the charcoal contains 55% of carbon as compared to present day and the value of…

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1100. If the…

A:

Q: Suppose 150 trout are seeded into a lake. Absent constraint, their population will grow by 35% a…

A:

Q: How long will it take for a principal of 1000 OMR to produce a future value of 2500 OMR at 10% rate…

A: If the interest is compounded continuously, then the formula used is A=Pert, where, A is the final…

Q: Determine how much time is required for an investment to triple in value if interest is earned at…

A: Let P be the principal amount, then the triple amount of P is 3P.

Q: Suppose 225 trout are seeded into a lake. Absent constraint, their population will grow by 60% a…

A: Since the growth rate is given in terms of percentage for first of all we will convert into decimal…

Q: Determine the growth constant of a population that is growing at a rate proportional to its size,…

A: Consider the population size is given as P(t). The expression for the exponential growth rate is…

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

A: Topic: percentage

Q: Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: There are two problems of same type. We will solve the first one for you. Kindly repost the…

Q: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

Q: Suppose 16 blackberry plants started growing in a yard. Absent constraint, the blackberry plants…

A: Here we have to use the logistic growth model. I have appended the formula used in the solution part…

Q: Suppose 275 trout are seeded into a lake. Absent constraint, their population will grow by 50% a…

A:

Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: We have to find the growth rate.

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=x2lnx gx=ln2x⇒gx=lnx2 limx→∞fxgx=limx→∞x2lnxlnx2limx→∞fxgx=limx→∞x2lnx

Q: Suppose the initial public offering of a stock is $13 and it's increasing by 62% per year how fast…

A:

Q: Use limit methods to determine which of the two given functions grows faster, or state that they…

A: fx=lnx,  gx=ln2x

Q: Suppose 200 trout are seeded into a lake. Absent constraint, their population will grow by 70% a…

A: Given problem:- Suppose 200 trout are seeded into a lake. Absent constraint, their population will…

Q: Find the interest rate r needed for an investment of $5000 to grow to $8000 in 8 years if interest…

A:

Q: Assume that there are no deposits or withdrawals. An initial investment of $4,000 earns 8.6%…

A: given that amount is compounded continuously.        compound interest formula is given by…

Q: Suppose you invest $2000 at a rate of 3.25% continuously, what is the worth of the investment after…

A: Given that P = $2000  rate of Interest = 3.25% continuously, we have to find what is the worth of…

Q: Find the total accumulated amoun

A: Given: Invested amount = $6500 Interest rate = 5 %

Q: Suppose that a machine's production can be considered as a continuous income stream with annual rate…

A:

Q: Suppose a city with population 100,000 has been growing at a rate of 8​% per year. If this rate​…

A:

Q: Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective…

A:

Q: Find the accumulated amount after 5 years if $4500 is invested at 4%/year compounded continuously.

A:

Q: Calculate the doubling times for continuous compounding at 6%, 8%, and 9%, and compare them with…

A: Let's find.

Q: Suppose that money is deposited daily into a savings account at an annual rate of $1100. if the…

A: Given  P: the principal, =$1100 t: the time= 4 years r: the rate, (in decimal form)=0.05

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.