Algebra with applications assignment DUE TODAY ASAP!!!

Assignment Submission

For this assignment, you submit the entire assignment. You are required to use a new randomization after every

1 assignment submissions.

Assignment Scoring

Your last submission is used for your score.

1. –/10 points Sm ithNM12 10.1.026. Ask Your TeacherMy Notes

2. –/10 points Sm ithNM12 13.2.040.CMI. Ask Your TeacherMy Notes

3. –/10 points Sm ithNM12 11.1.022.CMI. Ask Your TeacherMy Notes

Evaluate the given expressions (to two decimal places).

(a)

(b)

(c)

(d)

log 15.9

log2 128

log9 1

log 0.048

An oil-drilling company knows that it costs $25,000 to sink a test well. If oil is hit, the

income for the drilling company will be $415,000. If only natural gas is hit, the income

will be $130,000. If nothing is hit, there will be no income. If the probability of hitting oil

is 1/40 and if the probability of hitting gas is 1/20, what is the expectation for the

drilling company?

$

Should the company sink the test well?

Yes

No

Find the future value, using the future value formula and a calculator. (Round your

4. –/10 points Sm ithNM12 11.6.032. Ask Your TeacherMy Notes

5. –/10 points Sm ithNM12 10.3.009. Ask Your TeacherMy Notes

6. –/10 points Sm ithNM12 11.2.045. Ask Your TeacherMy Notes

answer to the nearest cent.)

$548 at 5.5% compounded quarterly for 3 years

$

Find the monthly payment for the loan. (Round your answer to the nearest cent.)

$400 loan for 12 months at 11%

$

Find the number of decibels for the power of the sound given. Round to the nearest

decibel.

A rocket engine, watts/cm2

dB

2.34 10−5

Assume the car can be purchased for 0% down for 60 months (in lieu of rebate).

A car with a sticker price of $42,600 with factory and dealer rebates of $5,100

(a) Find the monthly payment if financed for 60 months at 0% APR. (Round your

answer to the nearest cent.)

$

(b) Find the monthly payment if financed at 2.5% add-on interest for 60

months. (Round your answer to the nearest cent.)

$

(c) Use the APR approximation formula to find the APR for part (b). (Round your

answer to one decimal place.)

%

(d) State whether the 0% APR or the 2.5% add-on rate should be preferred.

0% APR

2.5% add-on rate

7. –/10 points Sm ithNM12 13.1.023. Ask Your TeacherMy Notes

8. –/10 points Sm ithNM12 15.1.019. Ask Your TeacherMy Notes

A single card is selected from an ordinary deck of cards. The sample space is shown in

the figure below. Find the probabilities. (Enter the probabilities as fractions.)

(a) P(three of hearts)

(b) P(three)

(c) P(heart)

Graph the line through the given point and with the given slope.

(1, 4); m = 1

2

9. –/10 points Sm ithNM12 10.1.013. Ask Your TeacherMy Notes

10. –/10 points Sm ithNM12 12.2.042. Ask Your TeacherMy Notes

Use the definition of logarithm to simplify each expression.

(a)

(b)

(c)

log10 10

log10 10,000

log10 10 −2

Decide whether you would use a permutation, a combination, or neither. Next, write the

solution using permutation notation or combination notation, if possible, and, finally,

answer the question.

11. –/10 points Sm ithNM12 12.1.004.CMI. Ask Your TeacherMy Notes

12. –/10 points Sm ithNM12 15.5.016. Ask Your TeacherMy Notes

A club with 33 members is to select five officers (president, vice president, secretary,

treasurer, and historian). In how many ways can this be done?

ways

Evaluate the expression.

170P1

Tell what the output value is for the function machine for the given values.

(a) 4

(b) 8

(c) −8

(d)

(e) t

3

2

13. –/10 points Sm ithNM12 14.1.020. Ask Your TeacherMy Notes

When a person in California renews the registration for an automobile, the bar graph

shown below is included with the bill.

Use this bar graph to answer the question. The following statement is included with the

graph.

There is no safe way to drive after drinking. These charts show that a few

drinks can make you an unsafe driver. They show that drinking affects your

BLOOD ALCOHOL CONCENTRATION (BAC). The BAC zones for various numbers of

drinks and time periods are printed in white, gray, and red. HOW TO USE THESE

CHARTS: First, find the chart that includes your weight. For example, if you

weigh 160 lbs., use the "150 to 169" chart. Then look under "Total Drinks" at

the "2" on this "150 to 169" chart. Now look below the "2" drinks, in the row for

1 hour. You'll see your BAC is in the gray shaded zone. This means that if you

drive after 2 drinks in 1 hour, you could be arrested. In the gray zone, your

chances of having an accident are 5 times higher than if you had no drinks. But

if you had 4 drinks in 1 hour, your BAC would be in the red shaded area . . . and

your chances of having an accident 25 times higher.

Suppose that you are over 18 years of age, weigh 155 pounds and have two drinks in 2

14. –/10 points Sm ithNM12 10.2.041. Ask Your TeacherMy Notes

15. –/10 points Sm ithNM12 15.1.008. Ask Your TeacherMy Notes

hours. According to the figure, are you seldom illegal, maybe illegal, or definitely illegal?

seldom illegal

maybe illegal

definitely illegal

Solve the equations by finding the exact solution.

(a)

x =

(b)

x =

2 = x − 2

2 ln e = ln − 2 ln e x

6

Find three ordered pairs that satisfy the equation.

(x, y) =

(x, y) =

(x, y) =

Use this information to graph the line.

y = 3x − 2

0,

1,

2,

16. –/10 points Sm ithNM12 15.3.018. Ask Your TeacherMy Notes

Sketch the graph of the equation.

y = x2 1

3

17. –/10 points Sm ithNM12 13.3.018. Ask Your TeacherMy Notes

Three fair coins are tossed. What is the probability that at least one is a head? (Enter

18. –/10 points Sm ithNM12 15.5.021. Ask Your TeacherMy Notes

19. –/10 points Sm ithNM12 14.3.026.CMI. Ask Your TeacherMy Notes

20. –/10 points Sm ithNM12 10.1.012. Ask Your TeacherMy Notes

the probability as a fraction.)

If find the following.

(a)

(b)

(c)

f(x) = x − 6,

f(11)

f(−6)

f(p)

Suppose that people's heights (in centimeters) are normally distributed, with a mean of

170 and a standard deviation of 5. We find the heights of 60 people. (You may need to

use the standard normal distribution table. Round your answers to the nearest whole

number.)

(a) How many would you expect to be between 170 and 180 cm tall?

people

(b) How many would you expect to be taller than 178 cm?

people

Write the equations in logarithmic form.

(a)

(b)

729 = 93

64 = 1

8

−2

21. –/10 points Sm ithNM12 14.2.037.CMI. Ask Your TeacherMy Notes

22. –/10 points Sm ithNM12 15.2.016. Ask Your TeacherMy Notes

(c)

a = bc

A class obtained the following scores on a test.

Test Score Frequency

90 2

80 6

70 9

60 4

50 3

40 1

Find the mean, the median, the mode, and the range for the class. (If an answer does

not exist, enter DNE.)

mean

median

mode

range

Graph the first-degree inequality in two unknowns.

y > 3x − 3