Today there are 500 ants on an colony. They breed with a constant continuous growth rate of 20% per year. To three significant figures, how many ants will be on the island after 5 years?

Q: 10. Engr. Igup invested P200 000 in a savin gs account with interest rate of 4% compounded…

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Q: Suppose you deposit money in an investment account that pays 5% annual interest compounded…

A: r=5%=0.05 Let P be the invested money and let it be doubled in t years.

Q: How long, to the nearest year, will it take me to become a millionaire if I invest $3000 at 9%…

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Q: A man invested 1000 dollars in an account. How long will it take before this investment will triple…

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

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Q: Camila invested $9,100 in an account paying an interest rate of 4.6% compounded continuously.…

A: Given problem:- Camila invested $9,100 in an account paying an interest rate of 4.6% compounded…

Q: how long will take for an investment to double in value if the interest rate 3% APR compounded…

A: We have A(t) = 2A(0) and r = 3% = 0.03

Q: How long will it take for an investment of $1000 to double in value if the interest rate is 8.5% per…

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Q: On the Bantayan island today, there are 1000 birds. They reproduce at a consistent annual growth…

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Q: Suppose the population of a certain bacteria in a laboratory sample is 100. If it doubles in…

A: The initial population of the bacteria is, P0=100. After every t=6, the population doubles. So, the…

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: 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: 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…

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Q: See photo attached, thank you.

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Q: Find the amount that results from each investment. $400 invested at 7% compounded continuously after…

A: To find the amount that results from investment $400 at 7% continuously after a period of 3 years.…

Q: The count in a bacteria culture was 200 after 15 minutes and 1600 after 30 minutes. Assuming the…

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Q: How many years will ittake for an initial investment of $10,000 to grow to $25,000?Assume a rate of…

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Q: Lucy invested $6,000 into an account that earns 6% interest compounded continuously. Approximately…

A: Directly use the formula for compound interest.

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

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Q: Jackson invested $320 in an account paying an interest rate of 3.2% compounded continuously.…

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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: The drug Valium is eliminated from the bloodstream exponentially with a half life of 36 hours.…

A: The formula for Valium level a time t is given by N(t)) = N0 e-λt Given initial dose N0 = 20mg t1/2…

Q: Find the amount of a continuous money flow in which $200 per year is being invested at 7.5%,…

A: To find the amount after 25 years

Q: "Find the amount that results from each investment;$1000 invested at 11% compounded continuously…

A: Compounding can be done several times a year for example compounded quarterly the amount is…

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: see attached

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Q: The value of a savings bond is growing by 2.8% per year compounded continuously. At this growth…

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Q: Researchers recorded that a certain bacteria population declined from 100,000 to 100 in 24 hours. At…

A: We have to find number of bacteria in 8 hours into the experiment where researchers recorded that a…

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

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Q: Maria decides to put all of her money into an account with a 20% annual interest rate, compounded…

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Q: A sample of a radioactive substance decayed to 10% of its original amount after 30 years. What is…

A: Given After 30 years substance decayed to 10 % of its original amount

Q: Kimi invests $4,000 at 3% interest compounded continuously. How much money will she have in 4 years?

A: Given that,   Invest value (P) =$4000   Interest rate(r) = 3%   Time (t) =4 years

Q: $2000 is invested in an account that pays interest compound continuously, how long will it take to…

A: The answer is given below:

Q: Assume that there are no deposits or withdrawals. An initial investment of $4,000 earns 8.6%…

A: given that amount is compounded continuously.        compound interest formula is given by…

Q: How long will it take for an investment to double in value if it earns 62​% compounded​…

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Q: Suppose that we initially have 500 mg of a radio-active substance as sample. After a year, the…

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Q: Suppose you invest $2000 at a rate of 3.25% continuously, what is the worth of the investment after…

A: Given that P = $2000  rate of Interest = 3.25% continuously, we have to find what is the worth of…

Q: A principal of RM2000 is invested at 10% interest compounded continuously. After how many days will…

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Q: If an account with initial amount of 2000 dollars earns 10% interest compounded continuously, how…

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

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Q: After 25 years, your savings account has now grown to $16,200 and has an interest of 6.1% that…

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Q: he radioactive isotope gallium 67 has a biological half-life of 36 hours. If re start with 100…

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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: 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: Kinsey has invested $28,000 into an account that pays 9% compounded continuously. How long will it…

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Q: Soon after taking an aspirin, a patient has absorbed 300 milligrams of the drug. If the amount of…

A: Let the amount of aspirin in bloodstream at time t be N(t) and initial the amount be N0. Therefore…

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

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

Q: Joshua is going to invest $490 and leave it in an account for 5 years. Assuming the interest is…

A: Solution:-