Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 22E
Related questions
Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc92c4fd6-c9ee-4dd6-a927-726b220915d2%2Fc306fdff-2ddd-401a-9c61-28f9420e48e3%2F5p9zm6_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc92c4fd6-c9ee-4dd6-a927-726b220915d2%2Fc306fdff-2ddd-401a-9c61-28f9420e48e3%2F4vmbf0md_processed.jpeg&w=3840&q=75)
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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