Unit Test — Cumulative exam Answers

You invest $4000 in a bank account with 5% interest compounded annually. You are wondering how long it would take for your money to double. What equation will you use to solve the problem and how long will it take for your money to double?

a.sin A = , tan A = , sec A = cos A = , cot A = , csc A = c.sin A = , tan A = , sec A = cos A = , cot A = , csc A = b.sin A = , tan A = , sec A = cos A = , cot A = , csc A = d.sin A = , tan A = , sec A = cos A = , cot A = , csc A =

Complete the following table using the equation: x -3 -1 0 1 3 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

Complete the following table using the equation: x -2 -1 0 1 2 y Plot the points on a graph and determine which graph best represents the equation. Graph A Graph B

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Kim has worked in the tech industry for some time and would like to start consulting. In opening her new business, she will need equipment. She needs to purchase 3 laptops, 2 desktop computers, and a fax machine. Each laptop costs $546.78, each desktop computer costs $1,255.99, and the cost of the fax machine is $125.99. She currently has $3,500 in her savings account. Determine if Kim has enough in her savings account to cover the expenses of her new company, and if she doesn't have enough, determine the amount needed to cover the cost.

Which of the following companies offers the greatest total employment compensation? Company ACompany BCompany CCompany DGross Pay$41,600$40,800$41,300$42,000Paid insurance$1,800$2,400$2,000$2,100Paid time off$3,700$3,100$2,800$2,900Job expenses$2,000$1,800$800$2,500

If $10,000 is invested at an interest rate of 3.5% each year, what is the value of the investment in 7 years? Write an exponential function and solve.

Use the diagram of the right triangle above and round your answer to the nearest hundredth. If º and b = 12 meters, find a.

Sandy is trying to reconstruct her spending pattern from July. She knows that she had $277 in her account on July 1, but after that, her receipts and balance statements are all scrambled. Here are Sandy’s records:DateTransaction TypeAmount ($)7/26Purchase867/25Deposit767/4Purchase1377/6Deposit907/10Purchase1317/9Purchase1457/15Deposit1527/19Purchase137Assuming that this is a complete, if scrambled, record of Sandy’s July spending and that any overdraft fees incurred do not affect the running total, how many times did Sandy overdraw her account in July?

You have just graduated from college and purchased a car for $8000. Your credit limit is $20,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 12%. Find the y-intercept for the exponential function which represents how much you will owe (represented by y) after x months with no more purchases or payments.

Make a scatter plot of the data below. x y 25 150 50 178 75 216 100 265 125 323 150 392 175 470.4 Use the quadratic regression feature of a graphing calculator to find a quadratic model. Round to the nearest thousdandths place. a. b. c. d. Please select the best answer from the choices provided

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n years can be calculated as . Find a bank account balance to the nearest dollar, if the account starts with $200, has an annual rate of 4%, and the money left in the account for 10 years.

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 following quadratic regression equation, models the AQI over time, where n represents the number of days the AQI exceeded 100, and t represents the number of years since 1990. Estimate the number of days the AQI exceeded 100 in the year 2002. Round to the nearest whole day. (Hint: t = 0 corresponds to the year 1990.)

The Sears Tower in Chicago is 1454 feet high. Sketch and find the angle of elevation from a point 750 feet from the base to the top of the tower. Relate your answer to the nearest tenth.

Find tan A for the triangle below.

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Megan used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but it does not. Friendly Bank Reconciliation Worksheet Amount 1. Enter the statement closing balance. $ 487 13 2. Enter the sum of any outstanding deposits or credits. $ 186 68 3. Add lines 1 and 2. $ 673 81 4. Enter the sum of any outstanding checks or debits. $ 174 01 5. Subtract line 4 from line 3. $ 499 80 6. Enter your checkbook balance. $ 362 60 Note: Lines 5 and 6 should be equal at the end of the reconciliation. Megan wants to first look for a single transaction that could have caused this problem with reconciliation. What is the amount of the transaction that Megan should look for in order to find a solution to the problem?

Jasmine has a gross pay of $754.80. By how much will Jasmine’s gross pay be reduced if she has the following items withheld?federal tax of $31Social Security tax that is 6.2% of her gross payMedicare tax that is 1.45% of her gross paystate tax that is 18% of her federal tax