Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 1175245: 6) You invest $100,000 in an account with 1.01% interest, compounded quarterly. Assume you don’t touch the money or add money other than the earned interest.
a) Write an equation that gives the amount of money, y, in the account after x years.
b) How much money will you have in the account after 10 years? (5 pts)
c) How much money will you have in the account after 25 years? (5 pts)
Click here to see answer by ewatrrr(24785)   |
Question 1175244: 6) You invest $100,000 in an account with 1.01% interest, compounded quarterly. Assume you don’t touch the money or add money other than the earned interest.
a) Write an equation that gives the amount of money, y, in the account after x years.
How much money will you have in the account after 10 years? (5 pts)
How much money will you have in the account after 25 years? (5 pts)
Click here to see answer by ewatrrr(24785) |
Question 1175242: 4) The half-life of a medication is the amount of time for half of the drug to be eliminated from the body. The half-life of Advil or ibuprofen is represented by the equation R=M(0.5)^1/2, where R is the amount of Advil remaining in the body, M is the initial dosage, and t is time in hours.
a) A 200 milligram dosage of Advil is taken at 1:00 pm. How many milligrams of the medication will remain in the body at 6:00 pm?
b) If a 200 milligram dosage of Advil is taken how many milligrams of the medication will remain in the body 12 hours later?
Click here to see answer by ewatrrr(24785) |
Question 1175242: 4) The half-life of a medication is the amount of time for half of the drug to be eliminated from the body. The half-life of Advil or ibuprofen is represented by the equation R=M(0.5)^1/2, where R is the amount of Advil remaining in the body, M is the initial dosage, and t is time in hours.
a) A 200 milligram dosage of Advil is taken at 1:00 pm. How many milligrams of the medication will remain in the body at 6:00 pm?
b) If a 200 milligram dosage of Advil is taken how many milligrams of the medication will remain in the body 12 hours later?
Click here to see answer by ikleyn(52800)  |
Question 1175242: 4) The half-life of a medication is the amount of time for half of the drug to be eliminated from the body. The half-life of Advil or ibuprofen is represented by the equation R=M(0.5)^1/2, where R is the amount of Advil remaining in the body, M is the initial dosage, and t is time in hours.
a) A 200 milligram dosage of Advil is taken at 1:00 pm. How many milligrams of the medication will remain in the body at 6:00 pm?
b) If a 200 milligram dosage of Advil is taken how many milligrams of the medication will remain in the body 12 hours later?
Click here to see answer by josgarithmetic(39620) |
Question 1175355: The table shows the populations (in millions) of five countries in 2000 and the projected populations (in millions) for the year 2015. Let t = 0 correspond to 2000. Find the exponential growth or decay model for each country.
Question: Use each model to predict the population of each country in 2030. To determine the regression equation, type the data in the table for a country in the first entry line (t = 0 corresponds to the year 2000); then, in the second entry line, type the equation y1 aebx1.
Click here to see answer by ikleyn(52800) |
Question 1175426: The half-life of a certain radioactive material is 68 hours. An initial amount of the material has a mass of 826 kg.
Write an exponential function that models the decay of this material. Find how much radioactive material remains
after 16 hours. Round your answer to the nearest thousandth.
Click here to see answer by josgarithmetic(39620) |
Question 1175580: A financial advisor recommends that a client deposit $2600 into a fund that earns 7.5% annual interest compounded monthly. What will be the value of the investment after 7 years? Use the compound interest formula P = A(1 + i)n, where A is the original value of an investment, i is the interest rate per compounding period, n is the total number of compounding periods, and P is the value of the investment after n periods. Round to the nearest cent.
Click here to see answer by ikleyn(52800) |
Question 1175582: A hospital administrator deposits $10,000 into an account that earns 9% annual interest compounded monthly. In approximately how many years will the investment be worth $18,000? Round to the nearest whole number.
Click here to see answer by Theo(13342)  |
Question 1175642: The population survey, Florida's location within the U.S. Liberty County is a county located in the state of Florida. As of the 2010 census, the population was 8,365, making it the least populous county in Florida. The population has been increasing at the rate about 2.48% per year. The function g(t) = 8,365 (1.0248)t can be used to model this growth over time, t, in years.
Part A: Where will be graph of the g(x) cross y-axis?
Part B: What does the y-intercept represent?
Click here to see answer by Boreal(15235)  |
Question 1175641: Alisa is investing $6,250 to get ready for college expenses. Her bank offers an annual rate of 6.12% per year and she plans to do this for 4 years. How much will she have saved after 4 years?
Part A: Write an exponential functions to model the situation.
A(t) =
Part B: Round your answer to the nearest dollar. After 4 years she will have saved how much?
Click here to see answer by Boreal(15235) |
Question 1175581: A loud sound made by an animal can be heard over 500 mi away. The power of the sound is 630 watts. Find the number of decibels of sound emitted by the animal. The number of decibels D of a sound can be given by the equation D = 10(log I + 16), where I is the power of the sound measured in watts. Round to the nearest whole number.
Click here to see answer by Boreal(15235) |
Question 1175581: A loud sound made by an animal can be heard over 500 mi away. The power of the sound is 630 watts. Find the number of decibels of sound emitted by the animal. The number of decibels D of a sound can be given by the equation D = 10(log I + 16), where I is the power of the sound measured in watts. Round to the nearest whole number.
Click here to see answer by ikleyn(52800) |
Question 1175645: Select the functions that are equivalent to A(t) = 5,000 (0.976 )^t , Where t is the time in years.
Group of answer choices
A(t) = 5,000 ( 0. 72 -t )^t
A(t) = 5,000 (0.947)^6t
A(t) = 5,000 (9.24)^t
A(t) = 5,000 ( 0.998)^12t
A(t) = 5,000 ( 0. 976 1/6 )^6t
Click here to see answer by ikleyn(52800) |
Question 1176055: An object with initial temperature 160 Fahrenheit is submerged in large tank of water whose temperature is 40 Fahrenheit. Find a formula for F(t), the temperature of the object after t minutes, if the cooling constant is k=0.8
F(t)=?
Click here to see answer by Boreal(15235) |
Question 1176132: One day snow begins to fall at a constant rate.
At noon, a snowplow starts clearing a road. The plow clears a constant volume per hour.
------
At 1PM, it has cleared 2 miles.
At 2PM, it has cleared 1 more mile.
-------
What time did it begin to snow?
Click here to see answer by josgarithmetic(39620) |
Question 1176132: One day snow begins to fall at a constant rate.
At noon, a snowplow starts clearing a road. The plow clears a constant volume per hour.
------
At 1PM, it has cleared 2 miles.
At 2PM, it has cleared 1 more mile.
-------
What time did it begin to snow?
Click here to see answer by Alan3354(69443)  |
Question 1176132: One day snow begins to fall at a constant rate.
At noon, a snowplow starts clearing a road. The plow clears a constant volume per hour.
------
At 1PM, it has cleared 2 miles.
At 2PM, it has cleared 1 more mile.
-------
What time did it begin to snow?
Click here to see answer by ikleyn(52800) |
Question 1176160: A population of 60 deer are introduced into a wildlife sanctuary. It is estimated that the sanctuary can sustain up to 300 deer. Absent constraints, the population would grow by 70% per year.
Estimate the population after one year
p1= ?
Estimate the population after two years
p2= ?
Click here to see answer by CubeyThePenguin(3113)  |
Question 1176219: The city of Anville is currently home to 28000 people, and the population has been growing at a continuous rate of 5% per year. The city of Brinker is currently home to 25000 people, and the population has been growing at a continuous rate of 7% per year. In how many years will the populations of the two towns be equal?
? years
Give your answer accurate to at least 2 decimal places.
Click here to see answer by ewatrrr(24785) |
Question 1176219: The city of Anville is currently home to 28000 people, and the population has been growing at a continuous rate of 5% per year. The city of Brinker is currently home to 25000 people, and the population has been growing at a continuous rate of 7% per year. In how many years will the populations of the two towns be equal?
? years
Give your answer accurate to at least 2 decimal places.
Click here to see answer by greenestamps(13200)  |
Question 1176218: I don't know how to do this, please!!
Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dT/dt=k(T−A), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and
k is a constant of proportionality.
Suppose that a cup of coffee begins at 179 degrees and, after sitting in room temperature of 62 degrees for 11 minutes, the coffee reaches 174 degrees. How long will it take before the coffee reaches 154 degrees?
Include at least 2 decimal places in your answer.
= ? minutes
Click here to see answer by ewatrrr(24785) |
Question 1176218: I don't know how to do this, please!!
Newton's Law of Cooling tells us that the rate of change of the temperature of an object is proportional to the temperature difference between the object and its surroundings. This can be modeled by the differential equation dT/dt=k(T−A), where T is the temperature of the object after t units of time have passed, A is the ambient temperature of the object's surroundings, and
k is a constant of proportionality.
Suppose that a cup of coffee begins at 179 degrees and, after sitting in room temperature of 62 degrees for 11 minutes, the coffee reaches 174 degrees. How long will it take before the coffee reaches 154 degrees?
Include at least 2 decimal places in your answer.
= ? minutes
Click here to see answer by htmentor(1343)  |
Question 1176618: Arianna is investing 6,000 to get ready for college expenses. her bank offers an annual growth rate of 5.8% and she plans to do this for 4 years. How much will she save after 4 years
What is the exponential function to model the situation?
How much will she have saved after 4 years.
Click here to see answer by ewatrrr(24785) |
Question 1176618: Arianna is investing 6,000 to get ready for college expenses. her bank offers an annual growth rate of 5.8% and she plans to do this for 4 years. How much will she save after 4 years
What is the exponential function to model the situation?
How much will she have saved after 4 years.
Click here to see answer by ikleyn(52800) |
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