Rewrite in exponential form: log4(24)=x
Culbert
1. Rewrite in exponential form: log4(24)=x
b) x^24=4
c) 24^4=x
d) x^4=24
2. Which of the following applications does the function below model?
f(x) =500(1.02)^4x
$500 on deposit for 4x years, interest paid at 8% per year, compounded annually. | ||
$500 on deposit for x years, interest paid at 2% per year, compounded quarterly. | ||
$500 on deposit for x years, interest paid at 2% per year, compounded annually. | ||
$500 on deposit for x years, interest paid at 8% per year, compounded quarterly. |
3. An artifact was found near Hadrian's Wall in the United Kingdom. Laboratory analysis done in 2001 showed that the artifact contained 76.2% of the C-14 found in living material. The Roman occupation of Britain started about 45 AD and lasted about 350 years. Could the artifact have been of Roman origin?
Answer
Yes, the artifact is from the early part of the Roman occupation. | ||
Yes, the artifact is from the later part of the Roman occupation. | ||
No, the artifact postdates the Roman occupation. | ||
No, the artifact was present before the Roman occupation. | ||
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4. Use your graphing calculator for this problem.
Suppose that g(x)=9x^3 and f(x) =9(3)^x. A comparison of their graphs shows:
a) g(x) >f(x) for all real numbers x
b) g(x) >f(x) for 2.4781< x < 3.0000
c) g(x) < f(x) for all real numbers x
d) g(x) >f(x) for all real numbers x> 0
5. Complete the following table of approximated y values for the given exponential function. Type in your answer as an integer.
X | 0 | 1 | 2 | 3 | 4 | 5 |
F(x) | 500 | 541 | 586 | 634 | ? | 743 |
6. For a certain chemical reaction , the concentration of product C(t) as a function of time, t is given by formula C(t)-C0(1-e^-kt), where C0 is the final concentration of the product and k is the rate constant of the reaction. If k = 0.0431 per second, how many seconds will it take to reach 90% of the final concentration?
a) about 5.34 seconds
b) about 53.4 seconds
c) about 10.1 seconds
d) about 101 seconds
7. The half-life of some naturally occurring radioactive isotope is 80 years. How long would it take for a sample of this isotope to decay to one-tenth of the initial amount?
a)266
b) 80
c) 8
d) 40
11 years ago
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