Students in a fifth-grade class were given an exam. During the next 2 years, the same students were retested several times. The average score was given by the model: f(t) = 87 – 16 log(t + 1), 0

Q: Kia invests $2500 at 4% compounded continuously.  Using the formula A(t) = Pert , find what time…

A:

Q: the other a calculator approximation rounded to two decimal places. (a) log6(x) = -2 X = (b) In(x) =…

A:

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

A: Decay of amount of carbon 14 is given by y(t) = yo e-0.0001216 t where yo is the amount of carbon 14…

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: $10,000 is invested at an annual interest rate of 11% for a period of 5 value of the investment if…

A: the formula used to find the interest which is compounded continuously is Amount=Pert where A is the…

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

A: Topic- continuous compound interest

Q: Solve for x in the following equation: 4.7 = -log(1.76 E -5) + log (x / 0.16)

A: This question is based on properties of logarithm.

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: We will find the average score.

Q: In the year 2004, the age-adjusted death rate per 100,000 Americans for heart disease was 249.1. In…

A: Let the required exponential model be, ft=a·bt   →1 Given that ft=249.1 when t=0, therefore from…

Q: The following shows Bisola's work in solving the equation. What is Bisola's error, any? if Step 1:…

A: Solve the equation.     253x+15=5

Q: Which of the following functions grow faster than ex as x→ ∞?Which grow at the same rate as ex?…

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Q: Find the equation of the vertical asymptote f(x)=log(x+5)

A:

Q: The loudness (x), measured in decibels (dB), of a sound of intensity x, measured in watts per square…

A: Given,            L(x) = log xI0  where  I0 = 10-12

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

A:

Q: What is the closest value to the instantaneous rate of change of the following function at x 2? f(x)…

A: We have to find closet value to the instantaneousrate of change  at x=2?     fx=3log2x-1+3   So we…

Q: Suppose $2000 is invested at 9% interest compounded continuously. How long will it take for the…

A: Given

Q: Suppose $10000 is invested at 5% interest compounded continuously. How long will it take for the…

A:

Q: How long does it take for $1800 to double if it is invested at 9.5%compounded continuously? Round…

A: Use formula of compounded continuously

Q: Suppose $2000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Given query is to find the time taken to reach the investment of 2000 to 10000 if compounded…

Q: f) The population of a town grows at the rate of 3% per year (compounded continuously). How long…

A:

Q: At the time of the birth of a child, a parent wants to begin a college fund that will grow to $43000…

A: Given that the interest is compounded continuously

Q: a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their…

A: Given: A(t)=A0(0.93)t A0=100%

Q: Suppose $10000 is invested at 8% interest compounded continuously. How long will it take for the…

A:

Q: Jay wants to invest $5,000 in an account with an interest rate of 8.5% that is compounded…

A: Here we have to find out amount of money.

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A:

Q: Find the equation of the vertical asymptote f(x) = log(x + 5)

A:

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: Given the function y = log3 (x – 2) + 1, what is the equation of the asymptote?

A: Equation of the asymptote of the given function y=log3x-2+1

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

A:

Q: Students in a fifth-grade class were given an exam. During the next 2 years, the same students were…

A: Given,       Student of 5th-grade class were given an exam. After 2 years the same students were…

Q: The field metabolic rate (FMR), that is the total energy expenditure per day in excess of growth,…

A: Given the total energy expenditure per day in excess of growth for a pronghorn fawn is F(x) = 0.751…

Q: The percentage of adult height attained by a girl who is x years old can be modeled by f(x) = 62 +…

A: Given: The percentage of adult height attained by a girl who is x years old can be modeled by…

Q: How long does it take for $1975 to double if it is invested at 9 % compounded continuously? Round…

A:

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: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

A:

Q: $3250 is invested at 5.5% compounded continuously. How long will it take for the balance to reach…

A:

Q: Q1:B. Find the solution for x: log (væ+1+1) 3 log Vr – 40

A:

Q: Suppose $8000 is invested at 4% interest compounded continuously. How long will it take for the…

A: Given- P=$8000, r=4% and A=$16,000 To Find- The time that will it take for the above investment to…

Q: Brianna is going to invest in an account paying an interest rate of 5.2% compounded continuously.…

A: Given data :-  Rate(r) = 5.2% = 5.2/100                = 0.052 P= Principal price  Find :- Principal…

Q: Suppose $13000 is invested at 10% interest compounded continuously. How long will it take for the…

A: Solution Given Suppose $13000 is invested at 10% interest compounded continuously  we need to…

Q: Suppose $2000 is invested at 3% interest compounded continuously. How long will it take for the…

A: Initial amount = $2000Interest rate= 3% compounded continuously.=0.03 Future value= $8000

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

A:

Q: If a population grows exponentially at a rate r, the time it will take for the population to double…

A: We can derive the formula for the time it will take for the population to double using the basic…

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: The relation between the number of time in days, D, it takes for a planet to revolve around the Sun…

A:

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.