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Tutors Answer Your Questions about logarithm (FREE)
Question 143983: Tutors, please please help me solve the below word problem. :( THANK YOU!!
A model for the number of people N in a college community who have heard a rumor is given by the equation:
N = P (1 - e-0.15d)
where P is the total population of the community and d is the number of days elapsed since the rumor began. If the number of students is 1,000 find the number of days when 500 students would have heard the rumor
Click here to see answer by vleith(1977)   |
Question 144347: If g(x) is a logarithmic function, then what effect does 'c' have on g(x) if
f(x) = g(cx)?
a. g(x) shifts c units to the sign opposite of c
b. g(x) stretches or shrinks horizontally
c. g(x) stretches vertically
d. There is no effect on g(x)
Click here to see answer by stanbon(26252) |
Question 144365: Hi,
Please check my answers for the 2 questions below, i dont seem to be getting the write answers :
Evalute the following using logarithms :
1) B = CUBE ROOT(28.6 / 0.987)
= (28.6 / 0.987)^(1/3)
LOG B = (LOG 28.6 - LOG 0.987)^(1/3)
= (1.46204888)^(1/3)
LOG B = 1.134977619
10^LOG B = 10^1.134977619
B = 13.645
2) A = CUBE ROOT(39304) / 136
= (39304)^(1/3) / 136
LOG A = LOG (39304)^(1/3) - LOG 136
= 1/3 LOG 39304 - LOG 136
= 1.531478917 - (2.133538908)
LOG A = -0.602059991
10^LOG A = 10^(-0.602059991)
A = 0.25
Please tell me were im going wrong, when i work out the question without logs on the calculate i dont get the answer im getting.
Please Help
Rebekah
Click here to see answer by vleith(1977) |
Question 144533: Find the rate that a bank offers if $1000 is tripled in 8 years. Assume the interest is compounded quarterly. Using this formula
nt
a=p(1+r/t)
this is what I got so far
a=3p
p=1000
r=?
n=4
t=8
4(8)
3p=p(1+r/t)
32
3=(1+r/4)
32
3=1.25r
do I take the log of both sides??
I'm lost
Click here to see answer by ankor@dixie-net.com(6691)  |
Question 144422: Tutors I submitted this once showing my work but I can't find my notes. If you sear your email you will see how I worked the problem. I asked if you could check my work. Here is the word problem again..Thank you $5000 is invested at interest rate K, compounded continuously and grows to $6954.84 in 6 years. Find the interest rate; the exponential growth function; the balance after 10 years and find the doubling time.
If I remember my notes I think I had the doubling time as 12 years, the interest rate at 6%.
Thank you
Click here to see answer by ankor@dixie-net.com(6691) |
Question 144565: From Textbook Wills and May Study word problems:
Tutors Thank You!
Suppose $5000 is invested at interest rate k, compounded continuously and grows to $6954.84 in 6 years. Find the interest rate and Find the exponential growth function also Find the balance after 10 years.
Click here to see answer by stanbon(26252) |
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