Solving Equations using Properties of Logarithms

Question 1

The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $

Revolt · Accepted Answer

12528.15

Question 2

The loudness of a compactor is 94 dB. Its sound intensity is about 0.00250.00430.0081.

Revolt · Accepted Answer

0.0025

Question 3

The sound intensity of the jack hammer is about 2.051.851.6 times the sound intensity of the compactor.

Revolt · Accepted Answer

1.6

Question 4

The loudness of a pile driver is 112 dB. About how many times the sound intensity of the jackhammer is the sound intensity of a pile driver? Round to the nearest ten.

Revolt · Accepted Answer

40

Question 5

After 10 years, a $2,000-dollar investment compounded annually has grown to $3600. What is the interest rate to the nearest whole-number percent? %

Revolt · Accepted Answer

6%

Question 6

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.0096 0.0040.0021.

Revolt · Accepted Answer

0.004; .: 0.004; .: 0.0025

Question 7

a = ⇒ -76.204 b =

Revolt · Accepted Answer

Part 1: -76.204; Part 2: 37.673; 0.814

Question 8

How would you explain the relationship between the real zero(s) of the function and x-intercept(s) of the graph?

Revolt · Accepted Answer

Since the graph never crosses the x-axis, the function has no real zeros.

Question 9

Which equation has real zeros corresponding to the x-intercepts of the graph?

Revolt · Accepted Answer

y = log3(x) – 1

Question 10

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate pH of a solution if the concentration of hydrogen ions is 5.0 × 10–4 moles per liter?

Revolt · Accepted Answer

3.3

Solving Equations using Properties of Logarithms Answers

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