Math Models Fall Final 2022

Biologists are studying tropical plants to determine how far north each type of plant can survive. What is the population?

• biologists

• tropical plants

• biologists participating in the research

• tropical plants that were moved up north

Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes. Which statement best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes?

• Gerald will need to conduct more trials than Kasey because there are fewer possible outcomes in his experiment.

• Gerald will need to conduct fewer trials than Kasey because there are fewer possible outcomes in his experiment.

• Gerald will need to conduct more trials because he needs to make up for the difference in the number of possible outcomes.

• Gerald will need to conduct fewer trials because experimental and theoretical results in experiments with small numbers of possible outcomes are the same.

Which of the following types of credits would best describe credit cards?

a.closed and secured

b.closed and unsecured

c.open and secured

d.open and unsecured

• A

• B

• C

• D

Leroux Health Insurance is considering changing the options in one of their health care plans (Plan A) based on customer feedback that prescriptions and regular visits to the doctor are too expensive for the insured individual. How can Leroux reduce the costs of regular health care without driving up the price of their health care plan?

Leroux Health InsurancePlan ACost: Monthly Premium: $248.00Annual Deductible: $5,500.00Co-pays: Brand-name Prescriptions $35.00Generic Prescriptions $15.00 Visits: Primary Care Physician: $40.00Specialist: $60.00Urgent Care: $125.00Emergency Room: $325.00a.Reduce the monthly premium but increase the co-pay amounts to compensate for the lower premium.

b.Reduce the annual deductible, but increase the co-pay amounts so that the monthly premium can stay the same.

c.Reduce the co-pay amounts but increase the annual deductible so that the monthly premium can stay the same.

d.Reduce the co-pay amounts but increase the monthly premium to compensate for the lower deductible.

Please select the best answer from the choices provided

• A

• B

• C

• D

Determine the amount needed such that when it comes time for retirement, an individual can make monthly withdraws in the amount of $2,154 for 30 years from an account paying 5.1% compounded monthly. Round your answer to the nearest cent.

a.$396,721.78

b.$398,407.85

c.$775,440

d.$1,833,962.40

• A

• B

• C

• D

Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.

a.$7.54

b.$65.37

c.$75.37

d.$75.40

• A

• B

• C

• D

Planning for the possiblity that your home might get struck by lightning and catch on fire is part of a plan for _____.

a.financing

b.managing income

c.managing liquidity

d.protecting assets

• A

• B

• C

• D

Which of the following statements is true?

a.A 30 year fixed mortgage will always result in the lowest payment.

b.You must have at least a 20% down payment to get a competitive interest rate.

c.The lower your interest rate is, the lower your monthly payments are.

d.The faster you pay off your mortgage, the lower your monthly payments are.

Please select the best answer from the choices provided

• A

• B

• C

• D

Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. Round your answer to the nearest cent.

a.$938,272.00

b.$941,790.00

c.$535,528.03

d.$547,577.41

• A

• B

• C

• D

The bar graph shows the number of days each month that thunderstorms occured in one city.

In how many months were there more than two days with thunderstorms?

• 1

• 3

• 5

• 7