Unit Test — Cumulative exam Answers

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?

For what values of x does ?

The distribution of the values of a population is shown below, and a simple random sample is drawn from the population. Based on this information alone, can the sample be used to make inferences about the population?

A utility company hires pollsters to knock on random doors in different parts of town to survey residents about the cost of their electric bill. Would this study be biased? Why or why not?

If g(x) is an odd function, which function must be an even function?

Which expression is equivalent to (4 + 6i)2?

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.)

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

Which expression is equivalent to ?

What is the range of the function f(x) = –2(6x) + 3?

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%. The second car depreciates at an annual rate of 15%. What is the approximate difference in the ages of the two cars?

Which expression is equivalent to ?

Jamal simplified the expression where and . Which describes the error Jamal made?

What are the solutions to

Which of the following shows the extraneous solution to the logarithmic equation below?

Kavita has been assigned the task of studying the average customer receipt for a branch of a major restaurant chain. The average receipt for the chain is $72.00 with a standard deviation of $11.00. The branch she is studying has an average bill of $67.00 for the last 40 receipts. She needs to know if this falls below the chain’s average. She will use a 1% level for significance because she does not want to inadvertently report the restaurants income as below average.Upper-Tail Valuesa5%2.5%1%Critical z-values1.651.962.58Which choice depicts the result for Kavita’s hypothesis test?

The times taken to assemble a clock at a factory are approximately normally distributed with a given mean = 3 hr and standard deviation = 0.5 hr. What percentage of the times are between 2 hr and 4 hr?

Which pair of complex numbers has a real-number product?

Vladimir rolls a six-sided number cube 36 times. If getting a 3 is a success, what is the probability of a success?

Which expression is equivalent to ? Assume and .