Tutors Answer Your Questions about Exponential-and-logarithmic-functions (FREE)
Question 251359: Evaluate the logarithmic equation for three values of x that are greater than -1, three values of x that are between -2 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).
y = log4 (x + 2)
Click here to see answer by solver91311(16877)   |
Question 251449: P₀ is invested in a savings account where interest is compounded continuously at 3.1% per year.
a) Express P(t) in terms of P₀ and 0.031
b) Suppose that 1000$ is invested, what is the balance after 1 yr? 2 yrs?
c) When will an investment of 1000$ double itself?
Helpful formula:
When an amount of money P₀ is invested at interest rate k, compounded continuously, interest is computed every instant and added to the original amount. The balance P(t), after t years, is given by the exponential growth model
P(t)=P₀e^kt
Click here to see answer by Theo(3458)  |
Question 252075: A bacteria culture grows by the exponential model y = 200ekt. How many bacteria
are there initially? If the number of bacteria triples in 2 hours, find the number of
bacteria after 5 hours.
Click here to see answer by drk(1908) |
Question 252076: Happyville and Smileytown both have a population of 10,000 people presently. Hap-
pyville is increasing by 1500 people a year and Smileytown is increasing by 15% a
year.
a) Which town is growing faster?
b) Find formulas for the populations of these towns as function of time t in years.
c) Use part b) to predict the size of both towns 5 years from now.
d) Find a year in which population of Happyville will be over 25000. Do the same
for Smileytown.
Click here to see answer by stanbon(57308) |
Question 251604: Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1.
y= (5/2)^x
x= (5/2)^y
Click here to see answer by drk(1908) |
Question 253615: 4^square root of 2 * 4^2square root of 2
ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2
i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated!
Click here to see answer by jim_thompson5910(28593) |
Question 253615: 4^square root of 2 * 4^2square root of 2
ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2
i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated!
Click here to see answer by stanbon(57308) |
Question 253735: a research biologist began to grow a culture in which the number of bacteria doubled every day. three days later, she began a second culture in a richer medium so that the number of bacteria increased fourfold everyday. If each culture was begun with the same number of bacteria present, how many days after starting the second culture with the number of bacteria in the two cultures be equal?
Click here to see answer by richwmiller(9135)  |
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