Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 1198693: Hi, I need help with this please.
The value of China’s exports of automobiles and parts (in billions of dollars) is approximately f(x) =1.8208_e^0.3387x, where x=0 corresponds to 1998. In what year did/will the exports reach $6.4 billion?
Click here to see answer by MathLover1(20850)   |
Question 1198940: The count in a bacteria culture was 600 after 20 minutes and 1600 after 30 minutes. Assuming the count grows exponentially,
What was the initial size of the culture?
Find the doubling period.
Find the population after 60 minutes.
When will the population reach 13000.
Click here to see answer by MathLover1(20850) |
Question 1199030: The half life of a certain isotope is 8.5 hours. If we have a sample of 20 ounces of that isotope, how much of it will remain after one full day?
The correct answer is one of the following. Which one is correct?
A) 0.28 ounces
B) 0.14 ounces
C) 1.41 ounces
D) 2.82 ounces
Click here to see answer by ikleyn(52799)  |
Question 1199030: The half life of a certain isotope is 8.5 hours. If we have a sample of 20 ounces of that isotope, how much of it will remain after one full day?
The correct answer is one of the following. Which one is correct?
A) 0.28 ounces
B) 0.14 ounces
C) 1.41 ounces
D) 2.82 ounces
Click here to see answer by MathTherapy(10552)  |
Question 1199030: The half life of a certain isotope is 8.5 hours. If we have a sample of 20 ounces of that isotope, how much of it will remain after one full day?
The correct answer is one of the following. Which one is correct?
A) 0.28 ounces
B) 0.14 ounces
C) 1.41 ounces
D) 2.82 ounces
Click here to see answer by math_tutor2020(3817) |
Question 1199062: Two crafty bacteria fall into a pot of milk which has recently been sterilized. They reproduce at a rate of 4% per day. Determine how many bacteria will be present after 100 days.
A. 100
B. 800
C. 0
D. 2
E. 109
F. 345
Click here to see answer by ikleyn(52799) |
Question 1199088: The growth model for a population of bacteria is given by P(t)=35e^2t.
How many days will it take until the bacteria has exceeded 8,750?
The correct answer is one of the following. Which one is correct?
A) about 11.0 days
B) about 8 days
C) about 4.6 days
D) about 2.8 days
Click here to see answer by ikleyn(52799) |
Question 1199088: The growth model for a population of bacteria is given by P(t)=35e^2t.
How many days will it take until the bacteria has exceeded 8,750?
The correct answer is one of the following. Which one is correct?
A) about 11.0 days
B) about 8 days
C) about 4.6 days
D) about 2.8 days
Click here to see answer by josgarithmetic(39620) |
Question 1199087: The growth model for a population of bacteria is given by P(t)=35e^2t where t is measured in days.
What is the initial amount of bacteria in the population?
The correct answer is one of the following. Which one is correct?
A) 2
B) 35
C) 70
D) 1
Click here to see answer by htmentor(1343)  |
Question 1199087: The growth model for a population of bacteria is given by P(t)=35e^2t where t is measured in days.
What is the initial amount of bacteria in the population?
The correct answer is one of the following. Which one is correct?
A) 2
B) 35
C) 70
D) 1
Click here to see answer by MathTherapy(10552) |
Question 1199251: A bacteria population doubles every four minutes. If the population begins with one cell, how long will it take to grow to 1,024 cells?
A. 8 minutes
B. 320 minutes
C. 54 minutes
D. 160 minutes
E. 40 minutes
F. 219 minutes
Click here to see answer by ikleyn(52799) |
Question 1199252: At time t = 0 hours, there are 500 bacteria in a favorable growth medium. 5 hours later, there are 2000 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria?
A. 0.155
B. 2.543
C. 0.135
D. 0.277
E. 1.467
F. 1.866
Click here to see answer by Theo(13342)  |
Question 1200299: The consumer price index compares the costs of goods and services over various years, where 1967 is used as a base. The same goods and services that cost $100 in 1967 cost $42 in 1940. Assuming the exponential-decay model
(a) Estimate what the goods and services that cost $100 in 1967 cost in 1900.
Click here to see answer by Theo(13342) |
Question 1200929: The current population of Little Pond, New York, is 20,000. The population is decreasing, as
represented by the formula P= A(1.3)-0234t
where P= final population, & = time, in years, and
A = initial population. What will the population be 3 years from now? Round your answer to the
nearest hundred people. To the nearest tenth of a year, how many years will it take for the
population to reach half the present population?
Click here to see answer by ikleyn(52799) |
Question 1201441: The population P of a certain is expected to be given by a model P= 100e^rt where r is constant to be determined and t is a number of days since the original population of 100 was established. Find the value of r if the population is expected to reach 300 in 6 days
Click here to see answer by josgarithmetic(39620) |
Question 1201899: A store sells tents, sleeping bags, and camp stools. A customer buys a tent, 5 sleeping bags, and 2 camp stools for $231. The cost of the sleeping bag is $21 more than the cost of a camp stool. Find the cost of each item.
Click here to see answer by ikleyn(52799) |
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