Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 1202153: Parents of a newborn baby are given a gift of Php 50,000 and will choose between two options to invest
for their child’s college fund. Option 1 is to invest the gift in a fund that pays an average annual interest
rate of 8% compounded semiannually; option 2 is to invest the gift in a fund that pays an average
annual interest rate of 7.75% compounded continuously. Which is the better option, assuming each
investment has a term of 18 years? Why? Support your answer with calculations.
Click here to see answer by ikleyn(52800)   |
Question 1079429: A computer that, when purchased 5 years ago cost $5,000 now has a value of $1,100. Find the value of the computer after 8 years by using the exponential model V(t) = V_0e^kt, in which V(t) is the value of the computer at any time t, V_0 is the initial cost, and t is the time in years. Round your answer to the nearest hundredth. Any help is appreciated (:
Click here to see answer by mananth(16946)  |
Question 1202843: In 2010 Staci invested $13,000 in a savings account for her newborn son. The account pays 5.5% interest each year. Determine the accrued value of the account in the year 2028, when her son will go to college. Round your answer the nearest cent.
In the year 2028, the accrued value will be
Click here to see answer by ikleyn(52800) |
Question 1202849: The current student population of Atlanta is 2800. If the population increases at a rate of 4.3% each year. What will the student population be in 10 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x)=
What will the population be in 10 years? (Round to nearest student)
Click here to see answer by ikleyn(52800) |
Question 1202848: The current student population of Pittsburgh is 2500. If the population increase at a rate of 4% each year. What will the student population be in 12 years?
Write an exponential growth model for the future population (y):y=
What will the population be in 12 years? (Round to nearest student)
Click here to see answer by ikleyn(52800) |
Question 1202847: The current student population of Phoenix is 1900. If the population increases at a rate of 6.7% each year. What will the student population be in 3 years?
Write an exponential growth model for the future population P(x) where x is in years:
P(x)=
What will the population be in 3 years? (Round to nearest student
Click here to see answer by ikleyn(52800) |
Question 1202845: The function V(t)= 21300(0.94)t
represents the value (in dollars) of a car
years after its purchase. Use this function to complete the statements below.
The value of this car is
Select an answer
at a rate of
Select an answer
The purchase price of the car was
Click here to see answer by josgarithmetic(39620) |
Question 1202846: The function V(t)= 354000(1.07)t
represents the value (in dollars) of a house
years after its purchase. Use this function to complete the statements below.
The value of this house is
Select an answer
at a rate of
Select an answer
The purchase price of the house was
Click here to see answer by josgarithmetic(39620) |
Question 1202844: The population of the world in 1987 was about 5 billion, and the relative growth rate was estimated at about 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1992. Round your answer to 2 decimal places.
The world population in 1992 is projected to be
billion people.
Click here to see answer by josgarithmetic(39620) |
Question 1204090: You currently have $6,500 (Present Value) in an account that has an interest rate of 7% per year compounded monthly (12 times per year). You want to withdraw all your money when it reaches $16,250 (Future Value). In how many years will you be able to withdraw all your money? Round your answer to 1 decimal place.
Click here to see answer by ikleyn(52800) |
Question 1204090: You currently have $6,500 (Present Value) in an account that has an interest rate of 7% per year compounded monthly (12 times per year). You want to withdraw all your money when it reaches $16,250 (Future Value). In how many years will you be able to withdraw all your money? Round your answer to 1 decimal place.
Click here to see answer by math_tutor2020(3817) |
Question 1204293: What can you say about the functions graphed below? Explain your reasoning: Is it a log or an exponential? For an exponential, is the exponent x or -x? What is the equation for the asymptote? Which direction and how many units is it shifted?
Graph A)
Here is the link (I hope one of them works):
C:\Users\zulay\Downloads\img-1-Log_graph.png
file:///C:/Users/zulay/Downloads/img-1-Log_graph.png
Graph B)
Here is the link (I hope one of them works):
C:\Users\zulay\Downloads\img-2-Exp_graph.png
file:///C:/Users/zulay/Downloads/img-2-Exp_graph.png
Thank you so much!
Click here to see answer by math_tutor2020(3817) |
Question 1204452: Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2685 bacteria in one and a half hours. Find the hourly growth rate paramete
Click here to see answer by josgarithmetic(39620) |
Question 1204452: Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 2600 bacteria selected from this population reached the size of 2685 bacteria in one and a half hours. Find the hourly growth rate paramete
Click here to see answer by ikleyn(52800) |
Question 1204719: The magnitude R of an earthquake is given by R = log +40
Where E (in joules) is the energy released by the earthquake (the quantity 104.40 joules is the energy released by a very small reference earthquake).
A major earthquake with a magnitude of 7.0 shook the provinces of northwestern Luzon and adjacent areas including Metro Manila last July 27, 2022.
Click here to see answer by math_tutor2020(3817) |
Question 1204989: A population numbers 20,000 organisms initially and grows by 1.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a * b^t where a = ? and b = ?.
Click here to see answer by Theo(13342)  |
Question 1204989: A population numbers 20,000 organisms initially and grows by 1.1% each year.
Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a * b^t where a = ? and b = ?.
Click here to see answer by math_tutor2020(3817) |
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