Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of cases worldwide is doubling exponentially every 5 months. Assuming continuous growth, what is the growth rate? 0.060 0.139 - 0.198 0.431 0.664

Q: If you make an investment of $2,000 and the interest is compounded continuously at 3%, approximately…

A: There are multiple question. As per company policy ask other question separately. Formula for…

Q: Assume the revenue in the year 2000 was $ 800,000, and in the year 2002 it was $ 600,000. Assuming…

A: We will use exponential growth/decay formula to find expected revenue

Q: A biologist has a 252-gram sample of a radioactive substance. Find the mass of the sample after four…

A: Let the initial mass No=252 gmmass after t hours=Ntgiven rate , r=19% , per hour=0.19

Q: Find the present value for a $90,000 investment for 24 years at a compounded continuously at 4.1%.

A: P=Aert Where P is present value , A is amount and r is rate and t is time.

Q: The population of the world in 1987 was 5 billion and the annual growth rate was estimated at 2…

A: Given ,  The population of the world in 1987 was 5 billion and the annual growth rate was estimated…

Q: Find the amount resulting in 12 years, if $25,000 is invested now at an interest rate of 4.25% p.a.…

A: Given that, P=25000, r=4.25%, t=12years

Q: 1. Suppose a population of rabbits starts with 30 rabbits. 60 days later, the population is 120…

A:

Q: how long will it take an investment of $300 to triple, if the interest rate is 9.5% per year…

A:

Q: Find the time it takes for $6,400 to double when invested at an annual interest rate of 4%,…

A: Given: sum, P=$6,400 r=4%=4100=0.04 We have to find time in which given sum becomes double. So,…

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: To find growth rate of the virus.

Q: How long will it take for an investment to triple, if interest is compounded continuously at 7%?…

A: We can find the answer as below.

Q: The population of bacteria cells in a dish decays exponentially at a rate of 5% per hour. If there…

A: Given,          The population of bacteria cells in a dish decays exponentially at a rate of 5% per…

Q: How long will it take an investment to double in value if a 9% continuously compounded interest rate…

A: Let investment = P  If amount double, A = 2P  Interest rate, r = 9% 9100=0.09 Using formula for…

Q: Why does the formula for exponential growth look familiar?

A: Exponential growth function looks like f(x)=a(1+r)x, where a is initial amount            r is…

Q: An investment is made at 3.931% per year, compounded continuously. what is the doubling time?

A: Given: Rate of interest, r=3.931% compounded per year. The objective is to find the number of years…

Q: find the present value of 4,000 to be received in 5 years, if money may be invested at 7.1% with…

A:

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: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Given- There were 130 insects after the third day of the experiment and 380 insects after the…

Q: Suppose the population of a college is 9,000 students on Jan. 1, 2000, and 20,000students by Jan 1,…

A: Given data is .  Population of students in college in jan. 1, 2000 A0=9000 Population of students in…

Q: Suppose $5,000 is invested at an annual interest rate of 7%. Compute the balance after 10 years if…

A: Given that  Initial amount of investment =$5000 Interest rate = 7% = 7/100 = 0.07 Time (t) = 10…

Q: The population of a certain community follows the law of exponential change. If the present…

A: Topic = Algebra

Q: Suppose a new mosquito-borne virus has emerged and has caused 550 cases to- date. The number of…

A: A = A0(e-kt)  Where , k = Rate , t = time

Q: Suppose you invest $1600 at an annual interest rate of 4.6 % compounded continuously . How much will…

A:

Q: Find the time it takes for $8,300 to double when invested at an annual interest rate of 11%,…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Suppose that in 2020 the population of a certain country is 2 million and increasing with a relative…

A:

Q: What is the exponential growth rate of a virus if initially 209 people in a state tested positive…

A: Answer

Q: 1. A certain species of virus is increasing in number exponentially every hour. The initial virus…

A: We will apply exponential growth formula to solve this question

Q: A ranch experienced growth of its gopher population at a 1.5% annual rate, compounded continuously.…

A: Exponential growth function =A = Pert → 1Given A = 78        r = 1.5% = 1.5100…

Q: A biologist has a 991-gram sample of a radioactive substance. Find the mass of the sample after six…

A: For the following continuous exponential decay,

Q: How much money should be invested at a rate of 6% compounded continuously to produce an amount of…

A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A:

Q: Find the time it takes for $5,300 to double when invested at an annual interest rate of 9%,…

A: Solution:

Q: Someone notices that the number of gopher holes in their yard seems to be increasing exponentially.…

A: This is a exponential growth rate problem

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: If the population of a country is 100 million people and the population is increasing exponentially…

A:

Q: Write an exponential function for a population of 15,000 grows continuously at a rate of 2.5% per…

A: In this question, we need to find the exponential function for a population of 15,000 grows…

Q: If the population of a Nigeria doubles in 9 years, find the growth rate k. Assume that the population…

A: So the equation for the exponential population with growth rate k is given by: Where, A= initial…

Q: Use the exponential growth formula to calculate the amount of money you will have in the bank after…

A:

Q: If an initial population of 32 grows exponentially at a rate of 50% per year, then what will the…

A: Given,          An initial population of 32 grows exponentially at a rate of 50% per year.We know…

Q: The population of a country was 81 million in 1992 and the continuous exponential growth rate was…

A:

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A: formula for continuous compound interest  A = P e r t  t = number of years  r = interest rate  P =…

Q: How many years are required for an investment to double in value if it is appreciating at the rate…

A:

Q: The population of a country was 222 million in 1996 and the continuous exponential growth rate was…

A:

Q: Find the time it takes for $7,800 to double when invested at an annual interest rate of 14%,…

A:

Q: Find the time it takes for $6,600 to double when invested at an annual interest rate of 10%,…

A: NOTE** As per bartleby guidelines for more than one question asked only first is to be answered…

Q: Suppose a country has a population of 50 million and projects a growth rate of 3% per year for the…

A: Given query is to find the population of the country after 11 years.

Q: Starting at age 30, you deposit $2000 a year into an IRA account for re stream. If money in the…

A: Given that Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat…

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

A: We have to find how fast balance will grow per year after 4 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.