The horizontal asymptote of an exponential function f(x) = b' is the line

Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

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Q: Suppose $500 is deposited into an account paying interest at a rate of 7%, continuously compounded.…

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Q: Suppose an Egyptian mummy is discovered in which the amount of​ carbon-14 present is only about…

A: The amount of carbon-14 present in animal bones after t years is given by the equation:…

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: 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: Find the time required for an initial investment of $2000 to reach $3500 if the interest is…

A: Topic- continuous compound interest

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: The derivative of an exponential function isn't always another exponential function.

A: Derivative of an exponential function is given by :ddxef(x,y,z) = ef(x, y , z). ddxf(x, y , z)

Q: Heather wants to invest $35,000 of her retirement. She can invest at 4.8% simple interest for 20 yr,…

A: Simple interest is applied only on the principal amount every year. The interest amount accumulated…

Q: How long (in years) will it take a $200 investment to be worth $300 if it is continuously compounded…

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Q: An investment of $75,000 increases at a rate of 12.5% per year. Find e value of the investment after…

A: An investment of 75,000 increases at a rate 12.5% per year. Find the value of the investment after…

Q: Find the interest rate needed for an investment of $3500 to double in 6 years if interest is…

A: It is given that investment is of $3500 which has to be doubled in 6 years.

Q: How long does it take for an investment to double its value if the interest is 7.25% compounded…

A: we know for compound interest  A=P ert here A= compounded amount after time t years P = principal…

Q: Considering an investment where $48000 is invested for 10 years at 6% compounded continuously

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Q: A company is considering expanding their production capabilities with a new machine that costs…

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Q: How long will it take to triple $12000, invested at 4.5% compounded continuously? (A = Pe*t) %3D

A: We are given the initial value to be $12000 and rate r = 4.5% = 0.045. Now, we need to find that how…

Q: How long would it take for a principal ofP to double if invested at 7% compounded continuously?

A: Given, for a principal of P to double if invested at 7% compounded continuously.

Q: 10. How long will it take you to reach $4000 compounded continuously if you invested the $5200 at…

A: A=$5200, P=$4000, r=4.7%=0.047

Q: A continuous income stream has an annual rate of flow at time t given: f(t)=9000e^(0.12t)…

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Q: Suppose that fis an exponential function with percentage growth rate of 1% and that f(0) = 4. Find a…

A: Given The percentage growth rate is 1% and f0=4.

Q: f you invest $10,400 at an interest rate of 2.5% compounded continuously, when will your investment…

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Q: The decay constant for carbon-14 is 0.00012, with time measured in years. A piece of papyrus…

A: Decay of any radio active substance follow first kinetics and the equation of first order kinetics…

Q: A money market fund has a continuous flow of money at a rate of f(x)=0.07x+100 for 10 years. Find…

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Q: How long (in years) will it take a $200 investment to be worth $900 if it is continuously compounded…

A: We need to find time when $200 will be worth $900.

Q: explain this.  How long will it take Dio who has an investment  of $200 at 4% interest compounded…

A: Given:

Q: Find the present value Po of each amount P due t years in the future and invested at interest rate…

A: Given: The amount P= $100,000 The time is t= 6 years. The rate of interest is k=3%

Q: Find the present value for a $85,000 investment for 11 years at a compounded continuously at 3.2%.

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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 money market fund has a continuous flow of money at a rate of ​f(x)=1,900x−180x2 for 10 years.…

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Q: An initial amount of $1800 is invested in an account at an interest rate of 3.5% per year,…

A: givenP=$1800r=3.5%=0.035t=7 yearssince we are solving compouded continuously ,then we apply this…

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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Q: Find the amount that results from the given investment. $10 invested at 9% compounded continuously…

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Q: A radioactive substance has a half life of 175 years. Find the decay constant, r, for this…

A: A radioactive substance has a half life of 175 years

Q: Following the birth of a child, a parent wants to make an initial investment P, that will grow to…

A: Given Initial amountP=P0 Interest rater=6%=0.06 Time t=18 years Future valueA=70,000

Q: 9. If you invest $2500 at 2.8% compounded continuously how much will you have at the end of 10…

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Q: 3. The population of a community is known to increase at a rate proportional to the number of people…

A: Topic:-  exponential function

Q: Find the interest rate r needed for an investment of $5000 to grow to $8000 in 8 years if interest…

A:

Q: Following the birth of a​ child, a parent wants to make an initial investment P0 that will grow to…

A: detailed solution is given below

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: The population of a small island is growing continuously at the rate 2% per year. Estimate to the…

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Q: How long does it take to have a balance of $900 if $500 is invested at 0.75% annual interest…

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Q: 2. How long will it take you to get ten times your money at 2% interest compounded continuously.

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Q: How long will it take to double your money if it is invested at a fixed interest rate of 6%…

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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: 2. At what rate of interest, compounded continuously will an investment double in six years? 3.…

A: (2) given that the principle amount will gets doubled in six years if the amount is compounded…

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

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Q: Investment A offers a 8% return compounded semiannually, and investment B offers a 7.81% return…

A: The formula for compound interest on an investment of P amount at an r% interest rate is A =…

Q: how long will it take an investment of $25,000 to grow to $35,000 ast an anual interest rate of 5%…

A:

Q: A radioactive element decays according to the function Q = Q, et, where Q, is the amount of the…

A: Given:     Q=Q0ert   where Q0 is the amount of substance at t = 0.       r=-0.00027  Q is the amount…

Q: A radioactive element decays according to the function Q=Q, e", where Q, is the amount of the…

A: We will solve the problem