Suppose that the amount of water pumped from a water well decreases at a continuous rate of 10% per year. When will the water level in the well fall to an eigthth of its current value?

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: 10. Engr. Igup invested P200 000 in a savin gs account with interest rate of 4% compounded…

A:

Q: Suppose a small quantity of radon gas, which has a half-life of 3.8 days, is accidentally released…

A: half life problem

Q: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: A population of rabbits grew from 10 to 3000 in 24 months. Determine the doubling rate.

A:

Q: What is the effective annual yield if a deposit of $1000 grows to $3300 in 12 years?

A: We know that the compound interest formula is  S=P1+rnnt where S is the amount after t years ,P is…

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

A:

Q: Find the effective rate of interest.; For 4% compounded continuously

A: 4% compounded continuously.

Q: Assume that an investment is made at 7.1% per year, compounded continuously. What is the tripling…

A: The compound interest formula is defined as, A=P1+rnnt where: A: is final amountP: is principal…

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: Find the effective rate of interest.For 5% compounded continuously

A: Here we have to find the effective rate of interest. For 5% compounded continuously.  r = 5%…

Q: How much will a deposit of 5000 taka grow to in 20 years at 6% interest compounded continuously?

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

Q: Suppose you deposit $6000 at 5% interest compounded continously. Find the average value of your…

A: We will solve the problem.

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

A:

Q: A certain radioactive substance decomposes at a rate proportional to the amount present. Suppose…

A: I have appended the formula used in the solution part.

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: Suppose you deposit $3000 at 4% interest compounded continously. Find the average value of your…

A:

Q: If the present value of $1000 to be received in 5 years is $559.90, what rate of interest,…

A:

Q: What rate of interest compounded continuously will yieldan effective interest rate of 6%?

A: It is given that, the effective interest rate is 6%. re=6%=0.06

Q: A small metal bar, whose initial temperature is 25°C is dropped into a large container of boiling…

A: The objective of the question find the temperature of the metal bar after 3 minutes.

Q: The proceeds from the sale of a building will yield a uniform continuous flow of $10,000 a year for…

A:

Q: Suppose you deposit $6,000 at 5% interest compounded continuously. Find the average value of your…

A:

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 effective rate of interest that corresponds to 15% annual rate compounded continuously.…

A: As we know that,  Effective rate of interest for continually compounding is :- Re =( e^r - 1) × 100…

Q: A certain radioactive material loses mass at a rate proportional to the mass present. If the…

A:

Q: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: Suppose you deposit $3000 at 3% interest compounded continously. Find the average value of your…

A:

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 you deposit $3000 at 8% interest compounded continously. Find the average value of your…

A: If the interest is compounded continuously for t years at a rate of r per year then the compounded…

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

A: We have to find the half life of the radium

Q: Suppose you deposit $1000 at 7% interest compounded continuously. Find the average value of your…

A: To find out the average value of account during first 4 years.

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

A:

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: A quantity with an initial value of 8200 grows continuously at a rate of o.55% per decade. What is…

A:

Q: Suppose the value of a different stock that you own is decreasing. If the value of your stock has a…

A:

Q: A certain radioactive material is known to decay at a rate proportional to the amount present. If…

A:

Q: what annual rate compounded continuously is equivalent to a nominal rate of 6% compounded…

A:

Q: Mr. Reyes places 100,000Php in a time deposit which pays nine percent per annum compounded…

A: topic - exponential function

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

Q: A toxic radioactive substance in the amount of 7 miligrams per square centimeters is detected in the…

A:

Q: Find the effective rate of interest that corresponds to 6% annual rate compounded continuously. Te %…

A:

Q: (a) What is the continuous percent growth rate for P = 130e0.037 with time, t, in years?

A: For an exponential functionP=P0ektwhere P0=initial valuek=continous growth ratet=time

Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

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: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

A:

Q: 2. Assume that radium disintegrates/decomposes at a rate proportional to the amount present. If 100…

A: Let Q  = amount of substance present            dQdt=kQ             integrating on both sides…

Q: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

A: Principal amount P = $3500 Rate r = 6% weekly             =( 6/52)% annually  Time t = 15 years  =…

Q: Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of…

A: Given Deposit =$3000 Interest=6% Compounded continuouslyA=Pert

Q: If the half-life of a radioactive substance is 7,300 years, then at what rate is it decaying? (Hint:…

A:

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

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.