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24 questions
Which geometric series diverges?
Which fraction represents the decimal 0.8888...?
9980
1,2501,111
98
89
A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?
$1,248.48
$2,472.48
$3,672.48
$3,745.93
A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)
234.0 ft
253.2 ft
789.8 ft
1,281.8 ft
What is the solution to log48x = 3 ?
x=83
x=23
x=2
x=8
What is the solution of
x = 53.50
x = 60.50
x = 66.50
x = 72.50
An initial investment of $200 is now valued at $350. The annual interest rate is 8% compounded continuously. The equation represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use a calculator and round your answer to the nearest whole number.
5 years
7 years
19 years
22 years
A scientist writes the equation N(h) = 100e0.25h to model the growth of a certain bacteria in a petri dish, where N represents the number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.
1 hour
6 hours
13 hours
15 hours
Which of the following shows the graph of y = ln(-2x)?
What is the range of the function y = ex +1 graphed below?
y > 0
y < 0
y < 1
y > 1
What is the domain of the function y = ln(x + 2)?
x < -2
x > -2
x < 2
x > 2
Identify the equation that translates y = ln(x) five units down.
y = ln(x - 5)
y = ln(x) + 5
y = ln(x + 5)
y = ln(x) - 5
What is the solution of the equation?
6
9
18
81
The intensity, or loudness, of a sound can be measured in decibels (dB), according to the equation l(dB) = 10log[l/l0] where I is the intensity of a given sound and I0 is the threshold of hearing intensity. What is the intensity, in decibels, [I(dB)], when l = 1032(l0) ?
15
32
320
737
Which equation has x = 4 as the solution?
log4(3x+4) = 2
log3(2x − 5) = 2
logx64 = 4
logx16 = 4
The magnitude, M, of an earthquake is defined to be M = log l/S , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.
2
3
4.5
6.9
What is the range?
all real numbers not equal to 0
all real numbers less than 6
all real number greater than 6
all real numbers
What are the domain and range of f(x) = log(x - 1) + 2?
domain: x > 1; range: y > 2
domain: x > 1; range: all real numbers
domain: all real numbers; range: y > 1
domain: all real numbers; range: all real numbers
If you are given the graph of g(x) = log2x , how could you graph f(x) = log2x + 5?
Translate each point of the graph of g(x) 5 units up.
Translate each point of the graph of g(x) 5 units down.
Translate each point of the graph of g(x) 5 units left.
Translate each point of the graph of g(x) 5 units right.
Which is the graph of y = -log(x - 2) + 3??
What is the range of the function f(x) = –2(6x) + 3?
(-∞, -2]
(-∞, 3)
[-2, ∞)
[3, ∞)
Which function has a horizontal asymptote of y = 3?
f(x) = 3(2x)
f(x) = 2(4)x-3
f(x) = 2(3x)
f(x) = 2(4x) + 3
Which of the following shows the graph of y = –(2)x – 1?
Which function is shown in the graph?
y = 2x - 2 + 3
y = 2x + 2 + 3
y = 2x - 3 + 2
y = 2x + 3 + 2
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