7. If log,x=3lg,p-[2log,t+log,r).value of x is1)2)3)p²²r²³p³r²³√r9. What is the common difference of the arithmeticsequence below?-7x,-4x,-x, 2x, 5x,...1) -32) -3x, then the3) 34) 3x8. The formula for continuously compounded interestis A = Pe", where A is the amount of money in theaccount, P is the initial investment, r is the interestrate, and is the time in years. Using the formula,determine, to the nearest dollar, the amount in theaccount after 8 years if $750 is invested at anannual rate of 3%.10. Which step can be used when solvingx²-6x-25-0 by completing the square?1) x² - 6x+9=25+92) x²-6x-9=25-93) x² - 6x+36=25+36x²-6x-36=25-364)11. At 3 PM two ships started sailing toward each other from ports that were 265 miles apart at average ratesat 18 and 23 miles per hour. At what time were the ships still 60 miles apart? SHOW ALL WORK1. What is the common ratio of the sequencea³b³₁-32a³b², ab ³,...?161)2)3)4)•8 ~•f / sjs3. What are the coordinates of the center of a circlewhose 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 formularepresents the nth term in the sequence?1) a = 4+2.5m2) a, 4+2.5(n-1)3) a = 4(2.5)"4) a₁ = 4(2.5)-12. Evaluate: (-n¹-n)Σn=14. When factored completely, the expression3x³-5x²-48x+80 is equivalent to1) (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% interestcompounded quarterly, what is the value of theinvestment in 5 years? (Use the formulaA=P{1+²)*., where A is the amount accrued, Pis the principal, r is the interest rate, n is thenumber of times per year the money iscompounded, and is the length of time, in years.)1) $5190.332) $5796.373) $5805.924) $5808.08

Question

7. If log,x=3lg,p-[2log,t+log,r).value of x is1)2)3)p²²r²³p³r²³√r9. What is the common difference of the arithmeticsequence below?-7x,-4x,-x, 2x, 5x,...1) -32) -3x, then the3) 34) 3x8. The formula for continuously compounded interestis A = Pe&#34;, where A is the amount of money in theaccount, P is the initial investment, r is the interestrate, and is the time in years. Using the formula,determine, to the nearest dollar, the amount in theaccount after 8 years if $750 is invested at anannual rate of 3%.10. Which step can be used when solvingx²-6x-25-0 by completing the square?1) x² - 6x+9=25+92) x²-6x-9=25-93) x² - 6x+36=25+36x²-6x-36=25-364)11. At 3 PM two ships started sailing toward each other from ports that were 265 miles apart at average ratesat 18 and 23 miles per hour. At what time were the ships still 60 miles apart? SHOW ALL WORK1. What is the common ratio of the sequencea³b³₁-32a³b², ab ³,...?161)2)3)4)•8 ~•f / sjs3. What are the coordinates of the center of a circlewhose 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 formularepresents the nth term in the sequence?1) a = 4+2.5m2) a, 4+2.5(n-1)3) a = 4(2.5)&#34;4) a₁ = 4(2.5)-12. Evaluate: (-n¹-n)Σn=14. When factored completely, the expression3x³-5x²-48x+80 is equivalent to1) (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% interestcompounded quarterly, what is the value of theinvestment in 5 years? (Use the formulaA=P{1+²)*., where A is the amount accrued, Pis the principal, r is the interest rate, n is thenumber of times per year the money iscompounded, and is the length of time, in years.)1) $5190.332) $5796.373) $5805.924) $5808.08

Accepted Answer

“Since you have posted multiple questions, we will provide the solution only to the first question…

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