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1. What is the common ratio of the sequence 3 a³b³. abs 32 64 36 1) -202 2a² 6b 2) - 3) - 30² 4) - 60²-2 16

1. What is the common ratio of the sequence 3 a³b³. abs 32 64 36 1) -202 2a² 6b 2) - 3) - 30² 4) - 60²-2 16

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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7. If log,x=3lg,p-[2log,t+log,r). value of x is 1) 2) 3) p²²r²³ p³r²³ √r 9. What is the common difference of the arithmetic sequence below? -7x,-4x,-x, 2x, 5x,... 1) -3 2) -3x , then the 3) 3 4) 3x 8. The formula for continuously compounded interest is A = Pe", where A is the amount of money in the account, P is the initial investment, r is the interest rate, and is the time in years. Using the formula, determine, to the nearest dollar, the amount in the account after 8 years if $750 is invested at an annual rate of 3%. 10. Which step can be used when solving x²-6x-25-0 by completing the square? 1) x² - 6x+9=25+9 2) x²-6x-9=25-9 3) x² - 6x+36=25+36 x²-6x-36=25-36 4) 11. At 3 PM two ships started sailing toward each other from ports that were 265 miles apart at average rates at 18 and 23 miles per hour. At what time were the ships still 60 miles apart?
Transcribed Image Text:7. If log,x=3lg,p-[2log,t+log,r). value of x is 1) 2) 3) p²²r²³ p³r²³ √r 9. What is the common difference of the arithmetic sequence below? -7x,-4x,-x, 2x, 5x,... 1) -3 2) -3x , then the 3) 3 4) 3x 8. The formula for continuously compounded interest is A = Pe", where A is the amount of money in the account, P is the initial investment, r is the interest rate, and is the time in years. Using the formula, determine, to the nearest dollar, the amount in the account after 8 years if $750 is invested at an annual rate of 3%. 10. Which step can be used when solving x²-6x-25-0 by completing the square? 1) x² - 6x+9=25+9 2) x²-6x-9=25-9 3) x² - 6x+36=25+36 x²-6x-36=25-36 4) 11. At 3 PM two ships started sailing toward each other from ports that were 265 miles apart at average rates at 18 and 23 miles per hour. At what time were the ships still 60 miles apart?
SHOW ALL WORK 1. What is the common ratio of the sequence a³b³₁-32a³b², ab ³,...? 16 1) 2) 3) 4) •8 ~•f / sjs 3. What are the coordinates of the center of a circle whose equation is x² + y²-16x+6y+53=0? 1) (-8,-3) 2) (-8,3) 3) (8.-3) 4) (8,3) 5. A sequence has the following terms: a₁ = 4, a₂ = 10, a3 =25, a₁ = 62.5. Which formula represents the nth term in the sequence? 1) a = 4+2.5m 2) a, 4+2.5(n-1) 3) a = 4(2.5)" 4) a₁ = 4(2.5)-1 2. Evaluate: (-n¹-n) Σ n=1 4. When factored completely, the expression 3x³-5x²-48x+80 is equivalent to 1) (x²-16)(3x-5) 2) (x²+16)(3x - 5)(3x+5) 3) (x+4)(x-4)(3x - 5) 4) (x+4)(x-4)(3x -5)(3x -5) 6. If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years? (Use the formula A=P{1+²)*. , where A is the amount accrued, P is the principal, r is the interest rate, n is the number of times per year the money is compounded, and is the length of time, in years.) 1) $5190.33 2) $5796.37 3) $5805.92 4) $5808.08
Transcribed Image Text:SHOW ALL WORK 1. What is the common ratio of the sequence a³b³₁-32a³b², ab ³,...? 16 1) 2) 3) 4) •8 ~•f / sjs 3. What are the coordinates of the center of a circle whose equation is x² + y²-16x+6y+53=0? 1) (-8,-3) 2) (-8,3) 3) (8.-3) 4) (8,3) 5. A sequence has the following terms: a₁ = 4, a₂ = 10, a3 =25, a₁ = 62.5. Which formula represents the nth term in the sequence? 1) a = 4+2.5m 2) a, 4+2.5(n-1) 3) a = 4(2.5)" 4) a₁ = 4(2.5)-1 2. Evaluate: (-n¹-n) Σ n=1 4. When factored completely, the expression 3x³-5x²-48x+80 is equivalent to 1) (x²-16)(3x-5) 2) (x²+16)(3x - 5)(3x+5) 3) (x+4)(x-4)(3x - 5) 4) (x+4)(x-4)(3x -5)(3x -5) 6. If $5000 is invested at a rate of 3% interest compounded quarterly, what is the value of the investment in 5 years? (Use the formula A=P{1+²)*. , where A is the amount accrued, P is the principal, r is the interest rate, n is the number of times per year the money is compounded, and is the length of time, in years.) 1) $5190.33 2) $5796.37 3) $5805.92 4) $5808.08
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