Expert answer:Pre-Cal Assignment

Expert answer:Attached you will find test 7, which contains about 16 questions. Do the problems and send it back. You can hand write it; that’s fine.
test_7.pdf

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WebAssign
131-lab#7(5.1-5.3) (Homework)
Current Score : – / 25
Sarah Saad
MTH131, section 02, Fall 2017
Instructor: Maila Brucal-Hallare
Due : Friday, December 1 2017 11:59 PM EST
1. –/3 pointsHarMathAp11 5.1.005.MI.SA.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any
points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Graph the function.
y = 5x
2. –/1 pointsHarMathAp11 5.1.021.
Given that y =
3 x
, write an equivalent equation in the form y = b−x, with b > 1.
7
y=
3. –/1 pointsHarMathAp11 5.1.029.MI.
If $1000 is invested for x years at 8%, compounded quarterly, the future value that will result is represented by the following
equation.
S = 1000(1.02)4x
What amount will result in 6 years? (Round your answer to the nearest cent.)
$
4. –/1 pointsHarMathAp11 5.1.031.
We will show in the next chapter that if $P is invested for n years at 6% compounded continuously, the future value of the
investment is given by
S = Pe0.06n.
Use P = 1000 and graph this function for 0 ≤ n ≤ 20.
5. –/1 pointsHarMathAp11 5.2.039.
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
log2(x
3
x + 8)
6. –/1 pointsHarMathAp11 5.2.041.
Use the properties of logarithms to write the expression as a single logarithm.
ln(4x) − ln(4y)
7. –/1 pointsHarMathAp11 5.2.043.
Use the properties of logarithms to write the expression as a single logarithm.
log6(x + 4) +
1
log6(x)
5
8. –/2 pointsHarMathAp11 5.2.051.MI.
Use a change-of-base formula to evaluate each logarithm. (Round your answers to four decimal places.)
(a)
log6(11)
(b)
log9(0.34)
9. –/2 pointsHarMathAp11 5.2.053.
Use a change-of-base formula to rewrite the logarithm. (Write your answer using base e logarithms.)
y = log3(x)
y=
Use a graphing utility to graph the function.
10.–/1 pointsHarMathAp11 5.2.063.
Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to
L = 10 log(I/I0)
where I0 is the threshold of hearing for the average human ear.
Find the loudness when I is 10,000 times I0. This is the intensity level of the average voice.
L=
dB
11.–/3 pointsHarMathAp11 5.2.068.
Chemists use the pH (hydrogen potential) of a solution to measure its acidity or basicity. The pH is given by the formula shown
below, where [H+] is the concentration of hydrogen ions in moles per liter.
pH = −log[H+]
Find the approximate pH of each of the following. (Round your answers to one decimal place.)
(a) blood: [H+] = 3.98
(b) beer: [H+] = 6.31
× 10−8 = 0.0000000398
× 10−5 = 0.0000631
(c) vinegar: [H+] = 6.3
× 10−3 = 0.0063
12.–/2 pointsHarMathAp11 5.3.001.MI.SA.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any
points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Solve the equation.
76x = 823,543
13.–/1 pointsHarMathAp11 5.3.009.
Solve the equation. Give your answer correct to 3 decimal places.
85 = 100 − 100e−0.05x
x=
14.–/1 pointsHarMathAp11 5.3.015.
Solve the equation.
log4(7x + 15) = 3
x=
15.–/1 pointsHarMathAp11 5.3.017.
Solve the equation. Give your answer correct to 3 decimal places.
ln(x) − ln(8) = 10
x=
16.–/3 pointsHarMathAp11 5.3.021.MI.SA.
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any
points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise
Solve the equation.
ln(x + 4) + ln(x) = ln(x + 28)
…
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