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Questions (25)
A right circular cylinder is to be inscribed in a sphere of given radius. Find the ratio of the height to the base radius of the
2 answers
2,929 views
A model scale of an addition shows 12cm wide base and rises to 15cm. Actual base will be 120 ft. What will the height of the
1 answer
412 views
2. The arrivals of customers at a drive-in banking window are governed by the Poisson distribution. Each customer requires 5
0 answers
600 views
An American style roulette wheel has individual compartments for the numbers 1 to 36, plus 0 and 00. If the payoff for a
2 answers
684 views
The angle 2x lies in the fourth quadrant such that cos2x=8/17.
1.Which quadrant contains angle x? 2. What is the measure of x, in
2 answers
988 views
1. Given the product law of logarithms, prove the product law of exponents.
2. Given the quotient law of logarithms, prove the
5 answers
731 views
Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0
3 answers
723 views
Apply algebraic reasoning to show that a=b^(loga/logb) for any a,b>0
1 answer
483 views
Given the product law of logarithms, prove the law of exponents.
Given the quotient law of logarithms, prove the quotient law of
2 answers
597 views
When you drink a cup of coffee or a glass of cola, or when you eat a chocolate bar, the percent, P, of caffeine remaining in
3 answers
2,010 views
At a concert, the loudness of sound, L, in decibels, is given by the equation L=10log(I/I_o), where I is the intensity, in watts
1 answer
1,568 views
The aperture setting, or f-stop, of a digital camera controls the amount of light exposure on the sensor. Each higher number of
1 answer
938 views
The aperture setting, or f-stop, of a digital camera controls the amount of light exposure on the sensor. Each higher number of
0 answers
954 views
At a concert, the loudness of sound, L, in decibels, is given by the equation L=10log(I/I_o), where I is the intensity, in watts
0 answers
1,020 views
Show that if
log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2
1 answer
432 views
Show that if
log_b (a) = c, and log_y (b) = c, then log_a (y)=c^-2
1 answer
1,824 views
One day, a controversial video is posted on the Internet that seemingly gives concrete evidence of life on other planets.
3 answers
1,289 views
The probability, P, in percent, that a person will respond to a certain ad can be modelled by the equation P(n)=1-2^(-0.05n),
0 answers
1,052 views
y=10(0.5)^(t/19.74)
My question: is this a horizontal stretch by a factor of 19.74? y=10(0.5)^(8t) My question: is this a
0 answers
446 views
Solve this log function:
a) log (sqrt(x^2-3x))=0.5 b) log (sqrt(x^2+48x))=1
3 answers
593 views
Chels is a recent business grad and has been offered entry level positions with two firms. Firm A offers a starting salary of
2 answers
1,971 views
A spacecraft is approaching a space station that is orbiting Earth. When the craft is 1000 km from the space station, reverse
1 answer
1,092 views
An investment pays 3.5 percent interest, compounded quarterly.
a) write an equation to express the amount A, of the investment as
2 answers
804 views
An investment pays 8% interest, compounded annually.
a) write an equation that expresses the amount, A, of the investment as a
5 answers
2,494 views
The stellar magnitude scale compares the brightness of stars using the equation m_2 - m_1 = log(b_1/b_2). where m_2 and m_1 are
1 answer
1,454 views
Answers (8)
56pi
thank you could you help me with part 3 too? I know that part two is the same as part one except you divide. please help with part 3, thank you in advance reiny
Well I know that a product law of logs is log(a) + log(b) = log(ab) and the quotient law of logs is log(a)-log(b)=log(a/b) But how do I change those laws, or relate it to prove the law of exponents. I know what the law of exponents are, but I just need
I have: loga=(loga/logb)logb (loga/logb )(1/loga)=logb (1/logb)=logb Ok now what?
log50-log20=tlog(3/2)
Ok but I have log50-log20=tlog3-tlog2 Now what?
c) continued: after 10 years A=(1.08)^10 =2.16 therefore 2.16% increase? Am I doing this right? d) Explain why the answers to parts b and c do not depend on the amount of the initial principal.
did i do part c right? c) determine the percent increase in value of the account after: 5 years, A=(1.08)^5 =1.47 therefore 1.47 % increase???
