Cumulative Exam — Cumulative exam Answers

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.

Kyle and Linda are married with two children at home and a mortgage. Kyle’s net pay per year is $32,000 and Linda’s is $48,000. Their monthly expenses are $3,500.Kyle and Linda each contribute 15% of their earnings to a retirement fund and they have $5,000 in savings. They also have a $100,000 life insurance policy on Kyle, but none on Linda.As their financial advisor, what part of Kyle and Linda’s financial plan would you encourage them to work on and why?

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.

The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?

Which of the following companies offers the greatest total employment compensation? Company A Gross pay $38,200 Insurance $3,500 Paid time off $4,100 Company B Gross pay $39,000 20% of gross pay in total employee benefits Job expenses $700 Company C Gross pay $39,900 Insurance $3,200 Paid time off $3,900 Job expenses $1,000 Company D Gross pay $39,400 18% of gross pay in total employee benefits

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.

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.

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.

You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen years. Brand G costs $200 and will last for about five years, so you will need to buy three of them over the years to equal one Brand F grill. In either case, you plan to pay for the grill with your credit card, which has an interest rate of 13.01%, compounded monthly. You will pay off a Brand F grill in five years of monthly payments, and you will pay off a Brand G grill in three years of monthly payments. Assuming that you have no other purchases on your credit card, over a fifteen-year period, which kind of grill will be cheaper, and how much cheaper will it be? (Round all dollar values to the nearest cent.)

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

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 transformation was applied to XYZ to create X'Y'Z'.

Ian invests $13,670 in a savings account at his local bank which gives 1.9% simple annual interest. He also invests $6,040 in an online savings account which gives 4.5% simple annual interest. After nine years, which one will have earned more interest, and how much more interest will it have earned, to the nearest dollar?

Analyze the reflectional symmetry of the vowels.

You earn $1,166 gross taxable income every week, and have claimed no exemptions. Assuming that you have no other sources of income, what is the amount of income tax withheld each week?

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.)

The Murphys’ gross annual family income is $120,500. Mr. Murphy referred to the graph shown below and calculated that his family will spend $28,920 on taxes this year. What is wrong with Mr. Murphy’s calculation?

You have just graduated from college and purchased a car for $6000. Your credit limit is $24,000. Assume that you make no payments and purchase nothing more and that there are no other fees. The monthly interest rate is 14%. Use the table feature on your graphing calculator to determine how much you will owe after 3 months..

Natasha had a $922.93 balance on her credit card at the beginning of September. Her credit card has an APR of 9.89%, compounded monthly, and a minimum monthly payment of 3.08% of the total balance. The following table shows Natasha’s credit card purchases over the next two months. Month Cost ($) September 33.70 October 61.70 October 27.80 If Natasha makes only the minimum payments, what will her balance at the beginning of November? (Assume that the interest accrues before the monthly payment, and that the monthly payment occurs at the end of the month. Round all dollar values to the nearest cent.)