Create a function in VBA of the equation of exponential curve fitting of The Annual Revenues of Singapore Post Company (Y) versus years (X). Let us suppose that the equation is the following: Y = 0.0015 * Exp (0.0063 * X).

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

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Q: Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. What…

A: Principal= P= $8000 Interest rate = 5.2%= 0.052 Final amount = double of 8000=16000

Q: Suppose that fis an exponential function with percentage decay rate of 5% and that f(0) = 9. Find a…

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Q: Totsakan invests $8,151 in a savings account with a fixed annual interest rate of 6.47% compounded…

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Q: A stock portfolio increased in value from $100,000 to $117,000 in 2 years. What rate of interest,…

A: To find: The rate of interest, compound continuously. Given: The stock portfolio increased from…

Q: $13,000 is deposited into a savings account with an annual interest rate of 3% compounded…

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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: What is the compound interest if $490 is invested for 12 years at 10% compounded continuously?

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Q: Assume that an investment is made at 7.1% per year, compounded continuously. What is the tripling…

A: The compound interest formula is defined as, A=P1+rnnt where: A: is final amountP: is principal…

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: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 6% with…

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Q: The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4…

A: We use the formula                                P = ∫0T f(t)e-rt dt

Q: Suppose a fish population is currently 7000 and 5 years later the population is 11000. Use the…

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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: Consider a population of a certain country that is observed to grow exponentially. Based  from the…

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Q: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in 1980…

A: A certain stock has grown continuously from 1980 to 2015. A $15,000 investment in the stock in…

Q: Find the present value of $1000 payable at the end of 3 years, if money may be invested at 8% with…

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Q: If the present value of $1000 to be received in 5 years is $559.90, what rate of interest,…

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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…

Q: best

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Q: Find the present value of $2000 to be received in 10 years, if money may be invested at 8% with…

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Q: If there are 520 grams of Tadioactive material with a half-life of 12 hours, how TIuch of the…

A: The material is decaying at a constant rate, every 12 hours it is getting halved.  So, it is an…

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: $5,000 is invested in an account earning 6% interest (APR), compounded continuously. How much is in…

A: Total investment P=$5000 Rate of interest R= 6% Time t=3 years Total amount after 3 years

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: If the present value of $1000 to be received in 5 years is $548.80, what rate of interest,…

A: Given values Present value, P=$1000 time, t=5 years Amount, A=$548.80 For calculating rate of…

Q: Determine how much time is required for an investment to triple in value if interest is earned at…

A: Let P be the principal amount, then the triple amount of P is 3P.

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: 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: The 1980 population of the United States was approximately 231 million, and the population has been…

A: Given,United States population in 1980, P = 231 million = 231,000,000

Q: The drug valium is eliminated from the bloodstream exponentially witha half-life of 36 hours.…

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Q: In a laboratory experiment, the population of bacteria in a petri dish started off at 380 and is…

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

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Q: Suppose you invest $1200 at an annual interest rate of 2.3% compounded continuously. How much will…

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Q: What are some of the important characteristics of exponential functions?

A: We need to mention some characteristics of the exponential function. Let's begin.

Q: If real estate in a certain city appreciates at the yearly rate of 15% compounded continuously, when…

A: The question mentions that the value of the real estate in a certain city appreciates at a rate…

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: Determine how long it will take for an initial investment to double if it earns 7% interest per year…

A: The time take to double the initial investment is approximately 10 years  see the calculation below

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: If $4,000 is invested at 8% compounded continuously, graph the amount in the account as a function…

A: P=$4,000 , r=8%=0.08 Now by using compound interest formula for continuously compounding, we have…

Q: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

Q: Three thousand dollars is deposited in the bank at 4% interest compounded continuously. What will be…

A: It is given that Money in the account $3000 Interest rate   We have to find the average value of…

Q: The population of a new city started at 1,200; however, it grew at a rate of 2% each year. Express…

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

A: Given,

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: An investment offers 5% interest compounded continuously. What is the amount of interest earned in 1…

A: Solved the give problem using concept of formula of Compound Interest ( C.I. )

Q: The count in a bacteria culture was 600 after 15 minutes and 16054 after 35 minutes. Assume that…

A: Given that      The count in a bacteria culture was 600 after 15 minutes and 16054 after 35 minutes.…

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

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Q: Find the Present Value of an investment that achieved $1,000,000 in 30 years at 6% interest…

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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

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.