Sales of milk at time t years are projected to be at the rate of 15 + 30e¬0.5t million gallons per year. Find total sales in the next ten years.

Q: An asset is purchased for P500,000.00. The salvage value in 25 years is P100,000.00. What is the…

A:

Q: 8. A population of ducks grew from 420 to 8000 in 6 years. If the population growth is linear, what…

A: As per our guidelines we are supposed to answer only one question at a time. Kindly repost other…

Q: a)How quickly is the water leaving the barrel over the first two seconds? b)Will the water drain…

A: The solution is given below in the next step:

Q: A town has a population of 260 000. Its population has been growing at an annual rate of 3.1% for…

A:

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

A:

Q: The value of a computer t years after purchase is v(t) = 4000e , At what rate is the computer's…

A: we need to find rate of change with respect to time of v(t)

Q: A population of 200 kangaroo is released into the forest. During the first three years, the…

A: Given,initial kangaroo number, n(0) = 200number of kangaroo after 3 years, n(3) =500carrying…

Q: 2. In the midyear of 2020, a country's population 109,581,078 with a growth rate of approximately…

A:

Q: The city state of Tobagon island consumes gas at the rate of (2.5t +10)1/2 million barrels per year…

A: For a function: y=f(t), the dependent variable is y and the independent variable is t. The value of…

Q: Suppose a country has a population of 50 million and projects growth rate of 5% per year for 20…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 35e0.012,…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 40e0.8t,…

A: Given that rate of growth of sales for a particular company is 40e0.8t  initial sale , s=300 , t=0To…

Q: It is estimated that t years from now the population of a certain lakeside community will be…

A: The population is changing at the rate of 0.6t2+0.2t+0.5 thousand people per year. That is,…

Q: A 10 year continuous annuity pays at a rate of t at time t. If v^t = .94t, calculate the accumulated…

A:

Q: A wolf population is growing at a rate of 9.3% per year. Find the time at which the wolf population…

A:

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.00r,…

A:

Q: An investment decreases by 50% over a period of 12 years. At what effective annual percent rate does…

A: Given Data: The investment decreased by: D=50% The time period is: n=12 years The decreased…

Q: For a period of time, an island's population grows at a rate proportional to its population. If the…

A: The general growth formula is given by,

Q: The rate of growth of sales (sales per day) for a particular company is predicted to be 25e0.067…

A:

Q: An epidemic is spreading at the rate of 18e0.2t new cases per day, where t is the number of days…

A:

Q: World consumption of lead is running at the rate of 4.7e0or million metric tons per year, where t is…

A:

Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/³ million barrels per year. (i)…

A: Given rate of consumption of fuel = (3t + 27)^1/3 million barrels per year. (i) In the next 10…

Q: A population of cattle is increasing at a rate of 100 + 20t per year, where t is measured in years.…

A: Given : A population of cattle  is increasing at the rate of 100+20t per year

Q: determine the time neeessary for P dollars to double when it is invested at interest rate r…

A:

Q: A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10…

A: Given that, after 10 years, the initial amount is doubles, when the rate of interest r is compounded…

Q: A radioactive substance used in nuclear weapons decays at the rate of 3.2% per year. Calculate the…

A:

Q: Assume straight-line depreciation. A jet ski that cost $13,200 when new will have no salvage value…

A: use rate of depreciation formula to evaluate the desired answer

Q: The population of Tagum City is increasing at the rate proportional to its current population. In…

A:

Q: The net worth, ƒ (t), of a company is growing at a rate of f' (t) 1000 – 6t2 in dollars per year…

A:

Q: The population of a district in a town is known to increase at a rate proportional to the number of…

A: We will find out the required initial population of the state .

Q: With a half life of 36 hours. Suppose a patient receives a  medication of 90 milligrams at midnight.…

A: A=A0e-ktAt t=36,A=A02A02=A0e-36kk=ln236A=A0e-ln236tA0=90At noon on first day…

Q: If human toenail grows at an average rate of about 0.13 inch a month.   1 year has 12 months. 1…

A: Given, Growth of human to nail =0.13 inch/month 1 year has 12 months. 1 inch is equal to 2.54 cm.…

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: An initial investment of $6000 grows at 5% per year. What function represents the value of the…

A: Given that initial investment made = $6000 It is said that the investment grows 5% per year. This is…

Q: The population growth rate is 3.0% per day with a current population of 30,000.            a.…

A:

Q: 3. There are currently 300 bacteria in a petri dish. There will be 2052 bacteria in 33 minutes. What…

A:

Q: York Region's population, P, is projected to grow until 2031 based on a growth rate of 2.9 % per…

A:

Q: 3. Th e annual income of a person from China is $5100 and is growing at a rate of 8% per year. In…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: At time t years, an industry consumes fuel at the rate of (3t + 27)/3 million barrels per year. (i)…

A: Given that at time t years, an industry consumes fuel at the rate of 3t+2713 million barrels per…

Q: |The amount A(t) of atmospheric pollutants in a certain mountain valley grows naturally and is…

A: Write the naturally growing equation as exponential function A(t). At t = 0, let A (t) be Ao and at…

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

A:

Q: With an initial deposit of 400 dollars, the balance in a bank account after t years is…

A:

Q: National Park Service personnel are trying to increase the size of the bison population of the…

A: The increase in population can be calculated as shown below.

Q: The rate of investment is given by I (t) = 5vt. Calculate the capital growth between the 4th and the…

A:

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: In the year 2000, the population of a certain country was 285 million with an estimated growth rate…

A: Initial population, P0 = 285 million Growth rate, r = 0.5% = 0.005 Use the exponential growth…

Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% ever (i) What wound be…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Find the effective annual yield and the continuous growth rate if the value of a deposit is given by…

A: The deposit is given by

Q: 2. The population of a country doubles in 50 years. How many years will be 5 times as much? Assume…

A:

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.