Cumulative Exam — Cumulative exam Answers

A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point. Round to the nearest degree.

The height and base radius of a cone are increased by a factor of 2 to create a similar cone. How is the slant height of the cone affected?

Find tan A for the triangle below.

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is multiplied by what factor to produce the radius of sphere B?

If $7500 is invested at an interest rate of 5% each year, what is the value of the investment in 4 years? Write an exponential function and solve.

Analyze the reflectional symmetry of the vowels.

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and a = 10 meters, find b.

The Air Quality Index, or AQI, measures how polluted the air is in your city and assigns a number based on the quality of the air. Over 100 is “Unhealthy”. The number of days the AQI exceeds 100 in a given year is modeled by the following quadratic regression equation: Let n represent the number of days the AQI exceeds 100 in a given year. Approximately how many days did the AQI exceed 100 in the year 1988? Round to the nearest whole day. (Let t represent the number of years since 1990. Therefore, t = 0 corresponds to the year 1990.)

Which of the following companies offers the greatest total employment compensation? Company ACompany BCompany CCompany DGross Pay$37,600$36,800$38,100$39,000Paid insurance$2,800$2,400$2,100$1,800Paid time off$3,100$3,600$2,900$2,500Job expenses$1,200$600$300$800

The circle will be enlarged by a scale factor of 4. What will be the area of the new circle?

In 1985, there were 285 cell phone subscribers in the small town of Glenwood. The number of subscribers increased by 75% per year after 1985. How many cell phone subscribers were in Glenwood in 1990?Years1986 (x = 1)1987 (x = 2)1988 (x = 3)Number of cell phone users4988721527

Make a scatter plot of the data below. Speed (mph) Stopping distance (ft) 10 12.5 20 36.0 30 69.5 40 114.0 50 169.5 60 249.0 70 325.5 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest hundredths place. a. b. c. d. Please select the best answer from the choices provided

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

A rectangle has a width of 2.45 feet and a length of 6.5 feet. How will the area of the rectangle change if each side is increased by a factor of 5?

Find the values of the sine, cosine, and tangent for .

Find the constant of variation for the relation and use it to write an equation for the statement.y is a joint variation of x and z and varies inversely with w. When x = 3, z = 4, and w = 6, y is equal to 8.a.c.b.d.

George tallies up the transactions in his check register and comes up with a total balance of $221.57, but his bank statement says that his balance is $203.73. Which of the following are still outstanding?I. A $20.25 check to the floristII. A $14.29 check to the dry cleanersIII. A $38.09 check depositIV. A $19.05 money order deposit

A cup of coffee contains 130 mg of caffeine. If caffeine is eliminated from the body at a rate of 11% per hour, how much caffeine will remain in the body after 3 hours? Write the exponential function and solve.

Dominic is looking over his spending pattern for the past week to try to determine how much money he had on Sunday. This is Dominic’s spending pattern:DayDebit ($)Credit ($)Monday158---Tuesday6944Wednesday175---Thursday13138Friday---53Saturday2214If the bank charges Dominic an overdraft fee of $25 every time he overdraws his account, and Dominic overdrew his account on Thursday but not on Saturday, which of the following is a possible amount of money that Dominic could have had in his account last Sunday? Assume that the only debits and credits not listed are overdraft fees.