What is the half-life of tritium, which decays at a rate of 5.471% per year.

Q: How long will it take $1,400 to triple if it is invested at an annual interest rate of 5.9%…

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

A: The exponential function of t is given below: A=A0e-ktWhere, k=rate, t=time

Q: How much money needs to be deposited now into an account to obtain $3,300 in 14 years if the…

A:

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

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

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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: If interest is compounded continuously at the rate of 4% per year, approximate the number of years…

A: It is given that interest is compounded continuously at the rate of 4% per year an the initial…

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: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number…

A: topic - exponential function

Q: 18. Suppose $7,800 is invested in an account at an annual interest rate of 4.3% compounded…

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Q: At current growth rates, the earth’s population is doubling about every 69 years. If this growth…

A: Number  of years - To calculate

Q: If you need $400,000 in 18 years for your child's college, how much should you invest TODAY at 2.1%…

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Q: 2) Carbon-14 decays or emits a radioactive particle at a regular and consistent exponential rate and…

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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: 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: Find the exponential growth equation for a population that doubles in size every unit of time and…

A: Given: At time, t=0, No. of individuals=20.

Q: 8) A bacterial culture has an initial population of 10,000. If its population declines to 3000 in 8…

A: Exponential model of population is given by,     P(t) = Po * e^(kt).

Q: Savannah is going to invest $220 and leave it in an account for 12 years. Assuming the interest is…

A: We have, Savannah is going to invest $220 and leave it in an account for 12 years and at the end,…

Q: Suppose that the town of Grayrock had a population of 10,000 in 2014 and a population of 12,000 in…

A: The exponential growth can be generalized as y=art where a represents the initial value, y…

Q: Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is…

A: Solve for the rate of interest

Q: 4. The population of the world is expected to double in the next 30 yr. What is its growth rate?

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Q: How many years will it take $9,000 to grow to $17,200 if it is invested at 2.75% compounded…

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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: 12) How long does it take $1000 to double if it is invested at 5% compounded continuously?

A:

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: How much money needs to be deposited now into an account to obtain $1,700 in 5 years if the interest…

A: Total amount of money at the end of nth  year is given by,                               A = P 1 +…

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

A:

Q: If $4000 is deposited in a savings account that earns interest at an annual rate of 7.5% interest…

A: NOTE: Refresh your page if you can't see any equations. . here we have,  P=4000 r=7.5%=0.075 t=4…

Q: Questlon 1 Given an interest rate of 7.2% per year, compounded continuously. What is the quarterly…

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Q: How many years will it take $9,000 to grow to $14,700 if it is invested at 2.50% compounded…

A: We will use continues compounding formula

Q: 5. (a) How long does it take for an investment to double in value if it s invested at 8% compounded…

A: Given query is to find the time taken to become an investment double of its value.

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

A:

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

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

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Q: 16) How long, to the nearest year, will it take an investment to triple if it is continuously…

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Q: How many years will it take $6,000 to grow to $10,400 if it is invested at 4.75% compounded…

A:

Q: Carter is going to invest $79,000 and leave it in an account for 12 years. Assuming the interest is…

A: Simply use the formula for compound interest.

Q: How many years will it take for an initial investment of $20,000 to grow to $30,000? Assume a rate…

A: Topic = Algebra

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

A:

Q: 1. Annual sales for a fast food restaurant are $650,000 and are increasing at a rate of 4% per year.…

A: Given Annual Sale=$650,000 Rate=4% per year

Q: If 2000 dollars is invested in a bank account at an interest rate of 9 per cent per year, compounded…

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Q: a) If an investment grows in value at 2.4% per year, how long will it take for its value to double?…

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Q: How long will it take for an investment to triple, if interest is compounded continuously at 6%? It…

A: Given

Q: How long does it take an investment to triple at an annual interest rate of 6.45% compounded…

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Q: How much must one invest today in order to receive $20,000 after 5 years if interest is compounded…

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Q: A particular city had a population of 23,000 in 1910 and a population of 28,000 in 1950. Assuming…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.