Questions and Answers of Business And Society Stakeholders Ethics

Convert to scientific notation.0.00000000514
Simplify. 3 (x + h)³ = x³ h
Convert to decimal notation. 5.87 X 108
Convert to decimal notation. 3.4 * 10-6
Convert to decimal notation. 1.09 * 10-7
Suppose that $7550 is invested at 2.8%, compounded semiannually. How much is in the account at the end of 5 years?
Suppose that $4100 is invested at 2.3%, compounded quarterly. How much is in the account at the end of 6 years?
Suppose that $4875 is invested at 1.8%, compounded quarterly. How much is in the account at the end of 9 years?
Evaluate. (4)
How many games can be played in a 9-team sports league if each team plays all other teams once? twice?
Find the sum of the geometric series -8 + 4 + (-2) + ... + (-3/2).
Find the sum of the first 400 even natural numbers.
Find the first 4 terms, a11, and a23: an = (-1)" 4 "( 2 n² n² + 1,
Evaluate. (3)
Expand. 2t + t 7
Expand. Зу У, 4
To find the common difference of an arithmetic sequence, choose any term except the first and then subtract the preceding term from it.
Expand. (1 + 2q³)8
In the second quarter of 2013, the probability that a marketing email would be opened was 28.5% . A business sent a marketing e-mail to 18,200 subscribers. How many of these e-mails can the business
If we can show that Sk→ Sk + 1 for some natural number k, then we know that Sn is true for all natural numbers n.
Evaluate. 7 Q+Q+Q+Q+Q) + (3) (1) (?) (6) (3) 7 7 + + 7 3 4
Evaluate. () + (²) 9 + ( ) + ( ) + (G) + ( ) + ( ) 9
Expand. (√2+1)6 - (√2-1)6
Evaluate. 27 (²7) 11
Evaluate. 52C4
Evaluate. 52C5
Expand. (1 − √2)4 + (1 + - √2)4
Find a20 when a1 = 14 and d = -3.
Evaluate. 37 8
Evaluate. n (1)
Find a1 when d = 4 and a8 = 33.
Expand. 6 ( √/1₁ - √x) ² V₁)
Evaluate. (3)
Evaluate. (m)
Find the sum of the first 9 terms of the geometric series 1 18 | 1/1 + 21/1/20 6 |
Find d when a1 = 8 and a11 = 26.
Find the sum of the first 10 terms of the geometric series 16 8 + 4-
Find n when a1 = 25, d = -14, and an = -507.
Huiliang received $150 in simple interest one year from three investments. Part is invested at 1.5%, part at 2%, and part at 3%. The amount invested at 2% is twice the amount invested at 1.5%. There
Solve for n: nPj P1 = 9• P6. n
Find the sum of the first 300 natural numbers.
Find the sum of the odd numbers 1 to 199, inclusive.
The sequence with general term 3n is geometric.
The sequence with general term 2n is geometric.
Find and evaluate the sum. 5 k = 1 2k
Multiplying a term of a geometric sequence by the common ratio produces the next term of the sequence.
Find and evaluate the sum. 6 i=1 1 2i + 1
Find and evaluate the sum. 6 Σ2 i=0
If an arithmetic series has a1 = 2, d = 5, and n = 20, what is Sn?
An infinite geometric series with common ratio -0.75 has a sum.
Find and evaluate the sum. 7 ΣV2k - 1 k=4
A manufacturer of houses has 1 floor plan but achieves variety by having 3 different roofs, 4 different ways of attaching the garage, and 3 different types of entrances. Find the number of different
Solve for n. n (₁²2) n = 6
Find and evaluate the sum. 10 Σın k k=7
Auditoriums are often built with more seats per row as the rows move toward the back. Suppose that the first balcony of a theater has 28 seats in the first row, 32 in the second, 36 in the third, and
How many games are played in a league with n teams if each team plays each other team once? twice?
A zip-plus-4 postal code uses a 9-digit number like 75247-5456. How many 9-digit zip plus-4 postal codes are possible?
Solve for n. n+ 1 ¹ + ¹) = ² · (2) 2. 3
Find and evaluate the sum. 4 Σπκ k=1
Find and evaluate the sum. 5 - 1 i=1 i + 3
There are n points on a circle. How many quadrilaterals can be inscribed with these points as vertices?
Solve for n. 2 (" + ²) = ∙9 = (2)
Find and evaluate the sum. 8 k Σ k=1k + 1
Solve for n. nP5= 7nP4 n²
Solve for n. n – 1 (3) = 2 · (^² = ¹) 2
Prove that n n+ 1 ( ² ) + ( )= (" + ¹) - k for any natural numbers n and k, k ≤ n..
Solve for n. nP4 = 8n-1P3
Find and evaluate the sum. 8 Σ(-1)k+13k k=1
Find and evaluate the sum. 5 Σ(−1) i=1
Find and evaluate the sum. 5 Σ(−1)k+1 k=0
Solve for n. nP5 = 9•n-1P4
Find and evaluate the sum. 10 Σ;(i + 1) i=1
Find and evaluate the sum. 7 Σ(-1)*4k+1 k=0
Solve for n. nP4 = 8•nP3
Find fraction notation. 0.131313..., or 0.13
Find and evaluate the sum. of 6 2 k=0k² + 1
Find and evaluate the sum. 5 Σ (k2 – 2k + 3) k=0
Find fraction notation. 8.9999
Find and evaluate the sum. 10 1 Σ k=1 k(k + 1)
Find and evaluate the sum. 3 Σ(-2)2k k=0
Find fraction notation. 0.2222..., or 0.2
Find and evaluate the sum. 10 Σ i=0 2² 2+1
Simplify. 15 W (15); k=0 :30-2k 30-
Find fraction notation. 6.161616
Simplify. 23 Σ k=0 (23) (loga x)23 - k(logat)k
Find fraction notation. 3.4125125
Solve for n. (1) 6 = n 3. ("5¹)
Find fraction notation. 12.7809809
Simplify: 10 k=0 (-1)^(10) (log.x) 10-k(log y)*. k
Solve for n. n (₁²1) n = 36
Solve for a: 5 k=0 5 k 95-kak = 0.
Find each of the following. Do not use a calculator. log 0.01
Find an equation of the parabola with directrix y = 3/2 and focus (0, - 3/2) .
Find the focus, the vertex, and the directrix of the parabola given by y2 = -12x.
Show that a hyperbola does not intersect its asymptotes. That is, solve the system of equations = 1, a² b² y = bx (ory = -bx). a
Are the asymptotes of a hyperbola part of the graph of the hyperbola? Why or why not?
A whispering gallery, often elliptical in shape, has acoustic properties such that a whisper made at one point can be heard at other distant points. A science museum is designing a new exhibit hall
An art museum is adding a new exhibit room in the shape of an ellipse. The director wants to mark the foci so that a tour guide can stand at one focus and without speaking loudly can be clearly
Use a graphing calculator to find the center and the vertices of each of the following. 9x2 + 4y2 + 54.063x - 8.016y + 49.872 = 0
The sum of two numbers is 1, and their product is 1. Find the sum of their cubes. There is a method to solve this problem that is easier than solving a nonlinear system of equations. Can you discover

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