Packet C Optional Quiz Review Questions 1) Suppose you have $6,000 to invest. Which investment yields the greater return over 4 years; 8.25% compounded quarterly, 8.3% compounded semiannually, or 8.1% compounded continuously? 2) Explain the meaning of 𝑡 = log 2 15 using the context of a Duckweed plant growing in a pond. 3) Write the equation t = log 2 15 in exponential form. Then solve the equation. 4) Without a calculator, find the exact value of the following: a. Log 5 25
b. log 3 81
c. log 4 2
d. log 5
1 5
5) Evaluate the following using a calculator. Round to 4 decimal places. a. log 2 11 b. log 6 30 6) Use properties of logarithms to condense: a. log 5 (𝑥 − 3) − log 5 (𝑥 + 8) b.
1 2
2
log 4 (𝑥) + log 4 (𝑦) 3
c. 𝑙𝑛𝑥 + 3𝑙𝑛𝑦 − 4𝑙𝑛𝑧 1
d. 𝑙𝑛𝑒 2 − 5𝑙𝑛 ( ) 𝑒 7) Use properties of logarithms to expand: a. log 𝑏 (𝑦𝑧)6 b. log 2
8𝑥 2 𝑦6 81
c. log 3 ( 8)
√𝑥+1
)
Solve the following equations: a. Log(x + 5) = log(4x – 2) b. log 2 (𝑥 + 2) = log 2 2 + log 2 (𝑥 − 1) c. log 3 (𝑥 − 2) = 1 d. 2ln(x) = 18 e. log 2 𝑥 + log 2 (𝑥 − 7) = 3 9) Solve using logarithms and the calculator (round to 4 decimal places) a. 38𝑥 = 2 b. 7𝑒 2𝑥 = 49 c. 10(4𝑥+5) = 300 10) Graph each function. State the domain, range, and asymptote. a. log 2 (𝑥 + 3) b. −log 2 𝑥 + 1 c. log 3 𝑥 d. log 3 (𝑥 − 2) − 5
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Directions: The following questions are sample items similar to those found on the EOC Exam. Answer each to the best of your ability. Show all work on a ...
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Page 1 of 4. Page 2 of 4. 9. Solve the system using the substitution method. Page 2 of 4 ... Page 3 of 4. Chapter 7 Optional Quiz Review 2017 NEWEST.pdf.
b. What model type is suggested by the behavior of the scatter plot. c. Write a model for spending as a function s of x, the number of years since 1990. d. Evaluate s(2) and s(9). e. Write a sentence of interpretation for s(4). 7. The table shows the
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Recall that log2 2 means the time it takes for the duckweed to grow to 2 m2 when. doubling. We can write log2 2 = 1 because it would take one day. a. log3 3 ...
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A video game store has 60 games to choose from, including 40 sports games. What is the ratio of sports games to video games? 4. The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 1991.5 inches. Find the measure of e
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