MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

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1 Exam # Extra Practice Problems, Math 100, Professor Wilson MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Kate decides to replace all the lights in her college apartment with energy saving light bulbs beginning this month. The packaging says the new bulbs will use 25% less electricity. If Kate's electric bill last month was $10.00 from bulb use alone, project how much Kate's electric bill will be this month for bulb use. A) $9.75 B) $2.50 C) $5.00 D) $7.50 E) $ ) Express the percentage as a simplified fraction 2).75% 2) A) B) C) D) E) ) A savings bond currently worth $7600 collects 5.5% annual simple interest each year. If the bond was purchased seven years ago, how much was it bought for? A) $11, B) $ C) $ D) $ E) $ ) ) A loan worth $1000 collects simple interest each year for 6 years. At the end of that time, a total of $1270 is paid back. Determine the APR for this loan. A).25% B) 5.75% C) 5% D).5% E) 5.5% ) 5) Suppose you buy a $9000 savings bond that pays.75% annual simple interest. When you cash in the bond, you have to pay 16% federal taxes on the interest you earned. How much money would you net if you cash in the bond after six years? A) $11, B) $10, C) $11,15.60 D) $13, E) $10,0.70 5) 6) A bank offers a 7.3% annual interest rate compounded daily. The periodic interest rate is 6) A) 0.02%. B) %. C) %. D) %. 7) Suppose that $3500 is invested in a savings account with an APR of 8.25%. What is the future value of the account in 8 years? A) $5631 B) $1320 C) $6599 D) $6579 E) $180 7) 1

2 8) Suppose that $ is invested in a savings account with an APR of 12% compounded monthly. What is the future value of the account in 5 years? A) $ ) B) $575.75(1.12)60 C) $ D) $575.75(1.12)5 9) Suppose that $P is invested in a savings account with an APR of i% compounded quarterly. What is the future value of the account in 10 years? A) P 1 + i 0 9) i 0 B) P C) P 1 + i 0 D) P i 0 Consider a geometric sequence that has initial term G0 = 75 and a common ratio c = ) Find G1. 10) A) 1 B) 150 C) 155 D) 35 E) ) Find G. 11) A) B) C) D) E) As summer approaches the size of Matt's wardrobe increases weekly by 6%. Assume that Matt's wardrobe contained 112 pieces in March, and let GN denote the number of pieces in his wardrobe N months after March. 12) How many pieces does Matt have in his wardrobe in July (N = 5)? Round to the nearest whole number. A) 151 B) none of these C) 96 D) 150 E) 12 12) 2

3 13) Give an explicit formula for GN. 13) A) GN = N (1.06)112 B) GN = N (112)1.6 C) GN = 112 (1.06)N D) GN = 112 (1.6)N E) GN = 112 (N)1.06 1) = 1) A) 2 (389-1) B) (389-1) C) (388-1) D) 2 (388-1) 15) $22 (1.025) + $22 (1.025)2 + $22 (1.025) $22 (1.025)50 A) $ B) $ C) $ D) $ E) $ ) 16) Starting at age 22, Khalfani invests $1800 at the beginning of each year in an IRA with an APR of 7% compounded annually. How much money will there be in Khalfani's retirement account when he retires at the age of 65? (Assume that his 3rd and last deposit generates interest for one year.) A) $512,58.76 B) $502, C) $82,39.03 D) $507,0.89 E) $77, ) 17) Starting at age 22, Celine invests $1800 at the end of each year in an IRA with an APR of 7% compounded annually. How much money will there be in Celine's retirement account when he retires at the age of 65? (Assume that his 3rd and last deposit generates no interest.) A) $77, B) 3, C) $5, D) $5, E) 21, ) 18) Find the present value of an installment loan consisting of 20 annual payments of $1500 assuming an APR of 5.5% compounded annually. (Assume each of the payments are made at the end of each year.) A) $18,911.8 B) $18,55.79 C) $17, D) $18, E) $ ) 19) Find the present value of a 30-month installment loan consisting of 30 monthly payments of $2 assuming an APR of 7% compounded annually. (Assume each of the payments are made at the end of each year.) A) $ B) $65.9 C) $ D) $ E) $ ) 3

4 20) George plans to donate $10 per week to the World Wildlife Fund for the next 25 years. Assuming an annual interest rate of 6% compounded weekly, find the present value of this annuity to the World Wildlife Fund. A) $ B) $ C) $ D) $ E) $ ) The figure below is a square ABCD with center O. (M, N, P, and Q are the midpoints of the sides.) 21) The image of A under the reflection with axis the line passing through M and P is 21) A) B. B) D. C) C. D) O. The figure below is a regular hexagon ABCDEF with center O. (P, Q, R, S, T, and U are the midpoints of the sides.) 22) The image of A under the reflection with axis the line passing through B and E is 22) A) T. B) C. C) Q. D) D. 23) The image of A under a 300 counterclockwise rotation with center O is 23) A) E. B) F. C) B. D) C.

5 2) Which of the following reflections is not a symmetry of the regular hexagon? 2) A) the reflection with axis the line passing through R and S B) the reflection with axis the line passing through A and D C) the reflection with axis the line passing through A and B D) the reflection with axis the line passing through P and Q E) all of these are symmetries of the regular hexagon. 25) Which of the following rotations is not a symmetry of the regular hexagon? 25) A) a 180 clockwise rotation with center O B) a 60 clockwise rotation with center O C) a 120 counterclockwise rotation with center O D) a 90 clockwise rotation with center O 26) What are the symmetries of the letter B? 26) A) a reflection with axis a vertical line B) a reflection with axis a horizontal line C) a 90 rotation D) all of these 27) Which of the following are symmetries of the letter D? 27) A) a reflection with axis a diagonal line B) a 90 rotation C) a reflection with axis a vertical line D) a reflection with axis a horizontal line 28) The letter B has symmetry type 28) A) Z1. B) Z2. C) D2. D) D1. 29) The greek letter (gamma) has symmetry type 29) A) D1. B) Z2. C) D2. D) Z1. 5

6 30) The symbol has symmetry type 30) A) Z1. B) Z2. C) D1. D) D2. 31) Which of the following letters has the same symmetry type as the letter X? 31) A) E B) M C) U D) H 32) The kind of symmetries found in the border pattern... S S S S S S... are the identity and 32) A) translations and vertical reflections only. B) translations and half-turns only. C) translations only. D) translations and horizontal reflections only. 33) The kind of symmetries found in the border pattern... A A A A A A... are the identity and 33) A) translations and vertical reflections only. B) translations and horizontal reflections only. C) translations only. D) translations and half-turns only. 6

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