Suppose that the half-life of a cesium is 30 years. If there were initially 1000 g of the substance   (a) give an exponential model for the situation (b) how much will remain after 200 years?

Q: Suppose that $19,282 is invested at an interest rate of 5.3% per year, compounded continuously. a)…

A:

Q: 2. Suppose that the half-life of a substance is 250 years. If there were initially 100 grams of the…

A:

Q: 4. How much should be invested at 12.5% compounded continuously to end up with $1000 at the end of 5…

A:

Q: look at attachment need for reference

A:

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

A:

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: Verify that the half-life of a quantity that decays exponentially with decay constant k is equal to…

A: Given : Quantity decays exponentially with constant decay constant k. The standard exponential…

Q: How many years will it take $2,000 to grow to $3,800 if it is invested at 5.50% compounded…

A: Given Initial investment=P=2000 Grow to amount=Q=3800 Rate of interest=r=5.50% p.a.

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

A:

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

A:

Q: How long, to the nearest year, will it take an investment to double if it is continuously compounded…

A:

Q: An account now contains $3,670 and has been accumulating interest at 5% annual interest, compounded…

A: We have to find the amount in the account 5 years ago.

Q: How many years will it take $1,000 to grow to $2,000 if it is invested at 4.25% compounded…

A: Given query is to find time taken to grow $1000 to $2000.

Q: How many years will it take $1,000 to grow to $1,900 if it is invested at 3.50% compounded…

A:

Q: Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5%per year.  To use a…

A: Given :-  Suppose that inflation causes the value of a dollar to decrease at a rate of 4.5 % per…

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A:

Q: A certain tranquilizer decays exponentially in the bloodstream and has a half-life of 45 hours. How…

A: LetA0=100h=45 hrsA(t)=93We know thatA(t)=A0(12)th 93=10012t45Taking ln on both…

Q: Assume a savings account had $6000 initially, and that the interest rate per year to be compounded…

A:

Q: Suppose that the bacteria in a colony can grow unchecked, by the law of exponential change. The…

A: The colony starts with 1 bacterium and doubles every half-hour.So doubling time of the bacteria =…

Q: How long to the nearest year will it take $50,000 to triple in values at7.5% annual interest…

A:

Q: What amount must be invested at 9% compounded continuously, so that it will be worth $35,000 after 5…

A: The total amount (A) obtained after t years by investing an initial amount of P in a firm or account…

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

A: Topic = Algebra

Q: suppose that the half-life of a cesium in 30 years.if there were initially 1000g of the substance.(…

A: The radioactive decay is modelled using the formula: N(t)=N0e-kt, where N0 is the initial amount and…

Q: How long, to the nearest year, will It take an Investment to double if it is continuously compounded…

A: An investment P compounded continuously at a rate of interest of r % per year for t years…

Q: How many years will it take $3,000 to grow to $5,000 if it is invested at 3.25% compounded…

A: To solve this problem we need to use the following result:

Q: 1. The amount of a certain medicine in the bloodstream decays exponentially with a half- life of 5…

A: Here, given that the amount of certain medicine in the bloodstream decays exponentially with a…

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

A:

Q: The population of a southern city follows the exponential law. If the population doubled in size…

A: The exponential equation for finding doubled the population is,

Q: How many years will it take $10,000 to grow to $16,200 if it is invested at 3.50% compounded…

A:

Q: How long will it take a $500 investment to be worth $700 if it is continuously compounded at 10% per…

A:

Q: If $6,000 is invested at 3% compounded continuously, what is the amount after 7 years? The amount…

A:

Q: suppose $5000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: To determine the taken by an investment of $ 5000 to double.

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

A:

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: suppose $5,000 is invested in an account at an annual interest rate of 3.7% compounded continuously.…

A: Given,

Q: How much money must be invested now at 10% interest compounded continuously so that $120,000 will be…

A:

Q: How long, to the nearest year, will it take an investment to triple if it is continuously compounded…

A:

Q: If 10,200 accumulates interest at an annual rate of 9% , compounded continuously, how much will be…

A:

Q: How long (in years) would $11,000 have to be invested at 10% compounded continuously to earn…

A:

Q: If $8000 is invested at 6% compounded continuously, what is the amount after 2 years? The amount…

A:

Q: Suppose that $19,419 is invested at an interest rate of 6.3% per year, compounded continuously. a)…

A:

Q: A population is now 3000 and is growing exponentiallywith a growth constant of .02, what will be the…

A:

Q: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

A: If $20,000 is invested at 2.8% compounded continuously, what is the amount in 5 years?

Q: How long will it take a $600 investment to be worth $700 if it is continuously compounded at 11% per…

A: Write the continuous compound interest formula,

Q: A quantity with an initial value of 390 decays exponentially at a rate of 8.5% every 9 weeks. What…

A: We give the change of the quantity as a function of time as y(t)=390 e-0.0859t where t is in weeks.

Q: A certain quantity Q has an intitial value of 13 and decays by 4% each year.  Give an exponential…

A: Given: A certain quantity Q has an initial value of 13 and decays by 4% each year. To determine: An…

Q: consider an investment where $42000 is invested for 15 years at 6% compounded continuously. how much…

A: Given  Invested amount = $42000 interest rate = 6 % compounded continuously  time = 15 years

Q: If a population of is becoming extinct and the population is decaying exponentially. Assume that…

A: From given information

Q: How much money must be deposited today to become $2450 in 60 years at 6.5% compounded continuously?

A: