Suppose the amount of oil pumped from one of canyon near the beach of island decreases at the continuous rate of 10% per year. When will the well’s output fall to one fifth of its present 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 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: Find the interest earned at 5% compounded continuously for 2 years by a continuous income stream…

A: Given the interest earned r=5%=0.05 , t=2years and PV=1250. We have to find the interest.

Q: A bank pays interest at a rate of 5%. What is the yearly multiplier if interest is compounded (a)…

A:

Q: Pilar owns a parcel of land whose value tyears from now will be V (t) = 8000e" dollars. If the…

A: Given: Pilar owns a parcel of land whose value t years from now will be V(t) = 8000et dollars. The…

Q: The radioactive isotope of lead Pb-209, decays at a rate proportional to the amount present at any…

A: The differential equation for decay is dAdt=kA dAA=k·dt ⇒∫dAA=∫k·dt⇒lnA=kt+c1A=ekt+c1A=ektec1A=Cekt…

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

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Q: A machine is purchased for $6500. It is expected to last 8 years and have a residual value of $700.…

A:

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

A: 4% compounded continuously.

Q: A certain radioactive element decomposses at a rate proportional to the amount present. If 100…

A:

Q: Find the present value of a continuous stream of income over 3 years if the rate of income is…

A: Given the rate of income , ft=80e-0.08t Number of yearsT=3 Interest rater=11% The present value can…

Q: A student is 19 years old and the world has a population of 6.6 billion. Assuming that the…

A: Given Present population (P) = 6.6 Rate (R) = 0.6% Time  (n) = 72-19= 53

Q: A sperical snowball is melting in such a way that its volume is decreasing at a rate of 1 cm^3/min.…

A: Volume of the sphere formula:‘r’ is the radius of the sphere

Q: How long does it take for $350 to grow to $840 at 6% annual percentage rate compounded continuously…

A: Continuously compounded interest formulaA= PertP = the initial principlee = natural baser = annual…

Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

A:

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

A:

Q: Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per…

A: We will find out the required solution.

Q: The city of San Estaban had a population of 45,000 in 2015 (t=0) and was growing continuously at an…

A: Initial population =45000 Growth Rate=3%=0.03 At 2016, t=2016-2015=1 So the population in 2016 is:

Q: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

A: Solution

Q: Determine the equivalent effective rate of a money compounded continuously at r=5%.

A:

Q: If a new Mustang is valued at $20,000 and five years later it is valued at $8000 then what is the…

A: A new Mustang is valued at $20,000 and five years later it is valued at $8000. Let x be the year and…

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: Suppose that $15,000 is invested and at the end of 3 yr, the value of the account is $19,356.92. Use…

A: Given :            $15,000 is invested and at the end of 3 yr, the value of the account is…

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: Interest is compounded continuously at 5%.  How long until a $5000 investment grows to $12000?

A: Interest is compounded continuously at 5% $5000 investment grows to $12000

Q: Find the accumulated present value of an investment over a 12-year period if there is a continuous…

A:

Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

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

A:

Q: Find the amount after 3 years if $ 1000 is invested at an intrest rate of 12% per year, compounded…

A: Given :             The amount invested is $1000.             Interest rate = 12% per year.…

Q: A money market fund has a continuous flow of money at a rate of ​f(x)=1,900x−180x2 for 10 years.…

A:

Q: Find the present value of a continuous stream of income over 2 years when the rate of income is…

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: Find the present value of a continuous stream of income over 4 years when the rate of income is…

A: Given, Rate of income per year is $35000. Interest rate is 4%. Here we shall use the formula for…

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

A: topic - exponential function

Q: Find the present value of a continuous stream of income over 4 years when the rate of income is…

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

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

A:

Q: (4) If the population of bacteria in a certain region triples in 15 days. In how many days will be…

A: Bacteria increases proportional during the period given in the problem

Q: How are the rate constant and the doubling time related?

A: Explanation: The exponential growth function is y(t)=y0ekt where k  is the positive constant rate…

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

A:

Q: Ifthe population of bacteria in a certain region triples in 15 days. In how many days will be four…

A: given                                                 dAdt=AK Where, A is population of bacteria. K…

Q: If a new car is valued at $20,600 and 8 years later it is valued at $3000​, then what is the average…

A: Given that the value of a new car is $20,600 and 8 years later it is valued $3,000.The initial value…

Q: The number of bacteria in a certain population increases according to a continuous exponential…

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: Consider the constant rate of depreciation value of a certain car. You bought a car amounting to 1.5…

A:

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: Find the present value of a continuous stream of income over 5 years when the rate of income is…

A: On solving this we will get