MODELS 2

Math Models with Applications Diagnostic Test 2 (Math Models with Applications

Question Number 1	Points: 1.00/1.00
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Which of the following would be the most common retirement age?
Your Answer
C. 64
Question Number 2	Points: 1.00/1.00
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A spring has spring constant 0.3 m/Newton. What force is necessary to stretch the spring by 1.5 meters?
Your Answer
D. .45 Newtons
Question Number 3	Points: 0.00/1.00
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What side is adjacent to angle R in △RFE?

Your Answer
C. EF
Question Number 4	Points: 1.00/1.00
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If you drive 360 miles in 5 hours, how fast are you going? Use the formula d = rt.
Your Answer
D. 72 mph
Question Number 5	Points: 1.00/1.00
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The main crop for 3 out of 5 farmers in Oklahoma is wheat. Out of 20 farmers in Oklahoma, how many grow wheat as a main crop?
Your Answer
B. 12
Question Number 6	Points: 1.00/1.00
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What is a common exception to the rule that you should never take money out of a long-term savings plan?
Your Answer
D. Buying a house
Question Number 7	Points: 0.00/1.00
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The equilateral triangles shown below are similar. What is the ratio of their side lengths? The small triangle has side lengths of 2 centimeters and the
large triangle has side lengths of 5 centimeters.
Your Answer
A. 4/25
Question Number 8	Points: 0.00/1.00
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In the diagram shown below, segment J K is the dilated image of pre-image segment A B . What is the scale factor?
Segments AB and JK. The points are located at the following coordinates: A(negative 10, 5), B(negative 6, negative 8), J(negative 20, 10), and K(negative 16, negative 12).

Your Answer
C. -2
Question Number 9	Points: 1.00/1.00
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What is the name of the kind of stock employees buy so that they get paid first if the company wishes to buy back the stock?
Your Answer
D. Preferred stock
Question Number 10	Points: 1.00/1.00
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Find the constant of variation k for the direct variation: 3x + 5y = 0.
Your Answer
A. k =
Question Number 11	Points: 1.00/1.00
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An insurance company makes money according to earnings = p(e1)w1 + p(e2)w2, where p(e1) is the probability that the insured dies, w1 is the cost of the death benefit, p(e2) is t
When does an insurance company make money?
Your Answer
B. When the insured lives and pays his/her premium
Question Number 12	Points: 0.00/1.00
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Which of the following enjoy higher interest rate earnings?
Your Answer
C. Short-term saving plans
Question Number 13	Points: 1.00/1.00
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What is the formula for a certificate of deposit account where the lump sum to save is A, the interest rate is r, and the number of interest earning periods is n?
Your Answer
B. S = A(1 + r)n
Question Number 14	Points: 1.00/1.00
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Identify the legs in the right triangle below.
right triangle B R T; angle T is the right angle
Your Answer
A. line segment TB and line segment TR
Question Number 15	Points: 1.00/1.00
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Which of the following mathematical patterns can be identified in the picture below?
two apples. one is smaller than the other.
Your Answer
A. Dilation
Question Number 16	Points: 1.00/1.00
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The length of a diagonal of a square is 8 mm. Find the perimeter of the square.
Your Answer
B. 22.8 mm
Question Number 17	Points: 0.00/1.00
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In right triangle RST, ST = 5, RT = 12 and RS = 13. Find sin R.
Right triangle RST with right angle T, and acute angles R and S.  RT = 12, ST = 5, and RS = 13
Your Answer
C. 12/13
Question Number 18	Points: 1.00/1.00
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How many lines of symmetry does the following figure have?
H
Your Answer
B. There are two lines of symmetry
Question Number 19	Points: 0.00/1.00
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In right triangle RST, ST = 5, RT = 12 and RS = 13. Find tan S.
Right triangle RST with right angle T, and acute angles R and S.  RT = 12, ST = 5, and RS = 13
Your Answer
A. 5/13
Question Number 20	Points: 0.00/1.00
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In which quadrant will the image lie, if CD is reflected in the x-axis?
graph with segment drawn from D negative 6 comma 1 to C negative 2 comma 5
Your Answer
A. Quadrant I
Question Number 21	Points: 0.00/1.00
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Write an equation of the direct variation that includes the point (9, -12).
Your Answer
B. y = x
Question Number 22	Points: 1.00/1.00
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What is the term that describes the specific part the insured pays to the insurer?
Your Answer
D. The premium
Question Number 23	Points: 1.00/1.00
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What side is opposite angle R in △RFE?

Your Answer
C. EF
Question Number 24	Points: 0.00/1.00
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What side is the hypotenuse in △RFE?

Your Answer
A. RE
Question Number 25	Points: 1.00/1.00
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In one particular neighborhood, 2 out of 6 families own a cat. Estimate how many families out of 15 own a cat.
Your Answer
A. 5
Question Number 26	Points: 1.00/1.00
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Five out of 8 students are right-handed. How many right-handed students are there out of 16?
Your Answer
A. 10
Question Number 27	Points: 1.00/1.00
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In the sample life insurance premium table, Gerald wants $75,000 in coverage for himself and he is a 45-year-old smoker. What will his insurance premium be?
This table illustrates the monthly premium for every $25,000 of coverage.


Non-Smoker	Non-Smoker	Smoker	Smoker
Age	Male	Female	Male	Female
Under 24	$3.00	$2.50	$4.50	$4.00
26 to 30	$4.00	$3.50	$6.15	$5.25
31 to 40	$5.50	$4.40	$9.00	$6.50
41 to 50	$7.50	$6.75	$13.00	$12.00
Your Answer
C. $39
Question Number 28	Points: 1.00/1.00
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A ship’s captain sights the top of a 200 ft cliff at a 17° angle of elevation. How far is the ship from the base of the cliff? (Round to the nearest foot).
Right triangle with one acute angle = 17 degrees.  The side opposite the angle is 200 feet and the adjacent side is labeled x
Your Answer
C. 654 feet
Question Number 29	Points: 0.00/1.00
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According to Boyle's Law, what was the volume (to the nearest integer) at the time of the first measurement given the following information?
P1 = 5.42 atm
P2 = 8.59 atm
V2 = 527 mL
Your Answer
C. 333 mL
Question Number 30	Points: 0.00/1.00
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How many lines of symmetry does the following figure have?
image of a regular octagon
Your Answer
B. 6 lines of symmetry
Question Number 31	Points: 1.00/1.00
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What is the name of the special contract that pays a designated amount of money to a beneficiary on the death of the policyholder?
Your Answer
C. Life insurance
Question Number 32	Points: 1.00/1.00
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Which of the following mathematical patterns is evident in the architecture shown below?

Your Answer
C. Symmetry
Question Number 33	Points: 0.00/1.00
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Which of the following describes how geometric figures move with out changing shape.
Your Answer
D. Isometric
Question Number 34	Points: 0.00/1.00
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Della Pervis has 200 shares of Seagrin stock at $14.45 per share, and the stock value rises to $21.18 per share. What is the original or starting value of her stock?
Your Answer
D. $6,152.00
Question Number 35	Points: 1.00/1.00
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Which standard photo size is closest to the golden ratio?
Your Answer
A. 3 x 5 inches
Question Number 36	Points: 1.00/1.00
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How many lines of symmetry does the following figure have?
image of a circle
Your Answer
D. The circle has an infinite number of lines of symmetry
Question Number 37	Points: 1.00/1.00
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According to the 10% savings rule that automatically adjusts to your earnings, how much would you save if your check showed earnings of $187.45?
Your Answer
C. $18.75
Question Number 38	Points: 1.00/1.00
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When a company incorporates, reorganizes and sells stock, outsiders who purchase the stock become voting members of the board. What type of stock is this?
Your Answer
B. Common stock
Question Number 39	Points: 1.00/1.00
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According to the 10% savings rule, if you earn $470.00, you save $47.00. If you earn $150.00, how much do you save?
Your Answer
A. $15.00
Question Number 40	Points: 1.00/1.00
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Find the constant of variation k for the direct variation: 3x - y = 0.
Your Answer
B. k = 3
Question Number 41	Points: 0.00/1.00
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From a hot air balloon, the angle between a radio antenna straight below and the base of the library downtown is 63°, as shown below. If the distance between the radio antenna and the library is 24 miles, how many miles high is the balloon?
image of hot air balloon directly over a radio antenna; library 24 miles from the antenna; angle from the balloon from the vertical to a line to the library measures 63 degrees
Your Answer
A. 47.10 miles
Question Number 42	Points: 0.00/1.00
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In right triangle RST, ST = 5, RT = 12 and RS = 13. Find cos S.
Right triangle RST with right angle T, and acute angles R and S.  RT = 12, ST = 5, and RS = 13
Your Answer
C. 12/13
Question Number 43	Points: 0.00/1.00
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A spring with spring constant .7 cm/dyne has a force of 42 dynes applied to it (stretching it). How much does the spring stretch?
Your Answer
B. 29.4 cm
Question Number 44	Points: 0.00/1.00
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From which person will an insurance company make the most money?
Your Answer
B. A male between 25 and 35
Question Number 45	Points: 1.00/1.00
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In a family, what item is usually not included in calculating necessary life-insurance coverage?
Your Answer
D. Transportation needs
Unit 2 Test: Credit and Debit (Math Models with Applications Diagnostic - PC: Erie CSD)
Back to Assignments	Back to Assignments
Question Number 1	Points: 0.00/5.00
Question Text
The beginning balance of a credit card account is $500. The monthly interest rate is 0.012. If a payment of $100 is made on the first day of the month, what is the ending balance?
Your Answer
C. $504.80
Question Number 2	Points: 5.00/5.00
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Calculate the effective annual interest rate if the annual interest rate, i, is 9%. use ieff = (1 + i/12)12 – 1.
Your Answer
C. 0.0938
Question Number 3	Points: 0.00/5.00
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Gertrude Treemason pays 11% annual interest on her Visa card. She has a balance of $2,200. What is the effective annual interest if no payment is made? Do not include fees and associated penalties.
Your Answer
B. $232.47
Question Number 4	Points: 5.00/5.00
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If a florist uses her credit card to pay for a new window display that costs $1,242.00 and does not pay on it until the second month, what will the 1.25% monthly interest charge be at the end of the first month?
Your Answer
B. $15.53
Question Number 5	Points: 5.00/5.00
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The beginning balance of a credit card account is $500. The monthly interest rate is 0.012. If a payment of $100 is made on the last day of the month, what is the ending balance?
Your Answer
B. $406.00
Question Number 6	Points: 7.00/7.00
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Calculate using the proper order of operations, 120/(40(30)).
*BLANK*
Your Answer
Calculate using the proper order of operations, 120/(40(30)).
0.1
Question Number 7	Points: 0.00/5.00
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To borrow $2,500 at 0.09 annual interest rate for two years, what is the monthly payment? Use M = Pm(1+m)na/((1+m)na –1). Hint m = .09/12, n = 2, and a = 12.
Your Answer
C. $115.40
Question Number 8	Points: 5.00/5.00
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When considering taking out a loan, as an educated adult, you need to do what?
Your Answer
D. Verify all the calculations for your loan
Question Number 9	Points: 5.00/5.00
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Use the compound interest formula, A = P times the quantity of 1 + r over n where the quantity is to the n t power., to find the following amount of money after the given amount of time:
Blake opens a savings account in a bank with the annual interest rate of 2.7%. If he deposits $3,500.00 in a savings account, and the interest is compounded annually, how much will he have in the account after 3 years?

Your Answer
B. $3,791.22
Question Number 10	Points: 5.00/5.00
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Assume that the same transactions have been processed, and only one error occurred. If the ending balances disagree by $18.09, which of the following errors are possible?
Your Answer
D. There was a transposition of digits or a shift of decimal position.
Question Number 11	Points: 0.00/5.00
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Using the formula n = log(M/(M-Bm))/log(1+m), about how many months will it take to pay off a credit card bill, where m = 0.01, M = $88.50, B = $1,528?
Your Answer
B. 8
Question Number 12	Points: 0.00/5.00
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Assuming that one error has been made in a check register and the ending balance at the bank and the ending balance of the check register differ by $8.01. What type of error was definitely not made?
Your Answer
D. Transposition error
Question Number 13	Points: 5.00/5.00
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Loan prepayment can save you some money on what?
Your Answer
B. The interest charges
Question Number 14	Points: 5.00/5.00
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Calculate the effective annual interest rate if the annual interest rate, i, is 8%. use ieff = (1 + i/12)12 – 1.
Your Answer
B. 0.083
Question Number 15	Points: 7.00/7.00
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Calculate from the left to right, 50(60)/120.
*BLANK*
Your Answer
Calculate from the left to right, 50(60)/120.
25
Question Number 16	Points: 0.00/5.00
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Use the simple interest formula, I = prt, to find the simple interest:

Julia invested $4,000.00 in a mutual fund with the simple interest rate of 3.5% per year. How much interest would she earn after 2 years?


Your Answer
C. $2,800
Question Number 17	Points: 5.00/5.00
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The check register and bank balances are the same, but the subtotals are different. Why is this okay?
Your Answer
B. Groups of identical transactions may be entered in different orders.
Question Number 18	Points: 5.00/5.00
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Use the simple interest formula, I = prt, to find the simple interest:

Ken borrowed $6,000 for 4 years at a rate of 7% simple interest per year. How much interest will Ken have to pay after paying back the borrowed amount?

Your Answer
B. $1,680
Question Number 19	Points: 5.00/5.00
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Assume that one error has been made in a check register, and the ending balance at the bank differs from the ending balance of the check register by $0.20. What type of error is most likely of the following four?
Your Answer
A. Borrowing or carrying error
Question Number 20	Points: 0.00/5.00
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When you balance your checkbook, you find the closing balance of your check register disagrees with the bank balance. What is the requirement that must be met before deciding that there must be an error in your check register?
Your Answer
A. A minimum of three days must pass where you write no checks to ensure all your checks have gone through.