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What is the solution to the equation shown?
2. If what is the value of n?
3. When a thrift store gets used furniture in good condition to sell, it researches the original price and then marks the used piece down by 40% of that price. On the first day of each of the following months, the price is marked down an additional 15% until it is sold or it reaches 30% of its original price. Suppose the store gets a piece of used furniture on January 15th. If the piece of furniture costs $1,848 new, and it is sold on March 10th of the same year, what is the final selling price, not including tax? Round your answer to the nearest whole dollar.
Many sailboat manufacturers sell kits that include instructions and all the materials needed to build a simple sailboat. The figure shows the finished dimensions of a sailboat from such a kit. The instructions indicate that cosx° = b, but do not give the value of b. What is the value of b?
In the figure shown, line B (not shown) is parallel to and passes through the point (0, –1). If line B also passes through the point (2, y), what is the value of y?
6. Recycling of certain metals has been a common practice dating back to preindustrial times. For example, there is evidence of scrap bronze and silver being collected and melted down for reuse in a number of European countries. Today, there are recycling companies and even curbside collection bins for recycling. As a general rule, recycling companies pay for metals by weight. Suppose a person brings in 3 pounds of copper and receives $8.64, and 24 ounces of nickel and receives $10.08. If another person brings in equal weights of copper and nickel, what fractional portion of the money would he receive from the copper?
7. Body mass index, or BMI, is one of several measures used by doctors to determine a person's health as indicated by weight and height. Low-density lipoprotein, or LDL cholesterol, known as the "bad" cholesterol, is another health indicator and consists of fat proteins that clog arteries. Following are the results of a study showing the relationship between BMI and LDL for 12 individuals and the line of best fit for the data.
How many of the 12 people have an actual LDL that differs by 10 or more mg/dL from the LDL predicted by the line of best fit?
8. Body mass index, or BMI, is one of several measures used by doctors to determine a person's health as indicated by weight and height. Low-density lipoprotein, or LDL cholesterol, known as the "bad" cholesterol, is another health indicator and consists of fat proteins that clog arteries. Following are the results of a study showing the relationship between BMI and LDL for 12 individuals and the line of best fit for the data.
A doctor's patient has a BMI of 25 and an LDL level of 160. The doctor wants to calculate the percent error of this patient's data compared to that predicted by the line of best fit. Suppose the doctor uses the points (20, 110) and (30, 180), which lie on the line of best fit, to model the equation. Based on this model, what is the percent error? Round to the nearest tenth of a percent and ignore the percent sign when entering your answer.
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