Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 1160228: Find S20 for the arithmetic series 24+16+8 + … .
Click here to see answer by MathTherapy(10552)

Question 1160250: what is the sum of the first five terms using the geometric series formula for the sequence {1/2, -1, 2, -4,...}, sequences stump me. Thanks!
Click here to see answer by mananth(16946)

Question 1160259: How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated? Thank you.
Click here to see answer by Boreal(15235)

Question 1160259: How many four-character passwords can be formed using the characters A, B, C, 1, 2 if the characters can be repeated? Thank you.
Click here to see answer by ikleyn(52788)

Question 1160462: .
Click here to see answer by Alan3354(69443)

Question 1160490: __,10, 35, 97, 220,__
A)1 334
B)2 360
C)4 434
D)6 626
E)8 724

Click here to see answer by ikleyn(52788)

Question 1160490: __,10, 35, 97, 220,__
A)1 334
B)2 360
C)4 434
D)6 626
E)8 724

Click here to see answer by greenestamps(13200)

Question 1160506: Is the correct answer B? I want to check my answers.
The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm.
What would be the most reasonable LOWER LIMIT for the number of M&M`s in the jar of the choices below?
A.10
B.100
C.1,000
D.10,000
The image for the question and the question itself are provided in the link here: https://i.imgur.com/74v3Ika.png
Click here to see answer by Theo(13342)

Question 1160530: Is A correct? I want to check my answers.
A student was conducting a study to determine how many mini chocolate chip cookies would fit in a plastic sealed container. He used random packing to find the following.
Using the collected data above what would be a reasonable rough estimate of a ratio of how many cubic inches per cookie?
A. 2.2 in^3/cookie
B. 0.45 in^3/cookie
C. 17.82 in^3/cookie
D. 23.76 in^3/cookie
The chart and the question itself are provided in the link here: https://i.imgur.com/FWwwxsw.png
Click here to see answer by greenestamps(13200)

Question 1160534: Is B correct? I want to check my answers.
Given a student number system for a county requires that the student number be 6 characters.

The first 4 characters are any single digit number but no character can repeat and the last two characters must be a letter and letters cannot be the same. How many unique student numbers are possible?

A. 6,500,000

B. 3,276,000

C. 3,407,040

D. 6,760,000

The number system and question are provided in the link here: https://i.imgur.com/scF4Asd.png
Click here to see answer by Boreal(15235)

Question 1160544: Is C correct? I want to check my answers.
Which size would you see on the box for a new television whose screen measures 32 inches wide by 18 inches high?

A. 14"

B. 18"

C. 37"

D. 50"

The number system and question are provided in the link here: https://i.imgur.com/iFcG9lz.png
Click here to see answer by MathLover1(20850)

Question 1160558: The formula for a baseball player's slugging percentage is:
1S + 2D + 3T+ 4HR/AB
If a player has 58 singles, 24 doubles, 8 triples, and 39 home runs, with 367 At Bats.
What is the player's slugging percentage?
A. 0.524
B. 0.779
C. 0.883
D. 0.736
The question is provided in the link here: https://i.imgur.com/Z3yPEWI.png
Click here to see answer by MathLover1(20850)

Question 1160550: Is C correct? I want to check my answers.
Jarvis has the following averages in his math class:

Homework avg: 93
Quiz avg: 82
Test avg: 72
Final Exam: 60

If the teacher weights Homework at 10%, Quizzes at 30%, Tests at 40%, and the final exam at 20%, what is Jason's class average?

A. 75

B. 77

C. 79

D. 82

The image and the question itself are provided in the link here: https://i.imgur.com/UvHf3Tn.png
Click here to see answer by MathLover1(20850)

Question 1160548: Is C the correct answers? I'm checking my answers.
Mike recently increased the size of his truck tires from 26.16 inches to 28.95 inches. If mike didn't re-calibrate his speedometer, how fast is he really going on the new tires when his speedometer shows he is traveling 60 mph?
A. 54.2 mph
B. 63.8 mph
C. 66.4 mph
D. 69.7 mph
The image and the question itself are provided in the link here: https://i.imgur.com/f5q1gvs.png
Click here to see answer by MathLover1(20850)

Question 1160562: Is C correct? I'm checking my answers.

What is the check digit, d, for the UPC bar code number shown below? 0-24679-36163-d
A. 0
B. 2
C. 7
D. 9

The image and the question itself are provided in the link here: https://i.imgur.com/TLV9AE7.png
Click here to see answer by MathLover1(20850)

Question 1160583: Is C correct? I'm checking my answers.
On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.
(hint: there are 5280 feet in 1 mile)
A) 276
B) 896
C) 1172
D) 1412

The image and the question itself are provided in the link here: https://i.imgur.com/0XwjHcy.png
Click here to see answer by Theo(13342)

Question 1160581: The aspect ratio of a rectangular shape is it's length divided by it's width (L/W). If the aspect ratio of a chalkboard is 4:3 and the width is 7 in,
what is the length of the chalkboard?
A. 6.67 in
B. 9.33 in
C. 12 in
D. 14 in

The image and the question itself are provided in the link here: https://i.imgur.com/O3XVXiK.png
Click here to see answer by MathLover1(20850)

Question 1160591: Is it B? I'm checking my answers.
Damian is paid $1,980 monthly. What is his annual salary?
A. $165
B. $23,760
C. $47,520
D. $102,960
The question is provided in the link here: https://i.imgur.com/Z2bSAj9.png

Click here to see answer by solver91311(24713)

Question 1160589: Is D correct? I'm checking my answers.
Charlie earns an annual salary of $61,870. If he is paid weekly, how much would his gross pay be each week?
A. $5,155.83
B. $2,577.92
C. $1,237.40
D. $1,189.81
The question is provided in the link here: https://i.imgur.com/BDztGNJ.png
Click here to see answer by MathLover1(20850)

Question 1160602: Is it A? I'm checking my answers.
Justin recently started working for a company that pays him $11.40 per hour. He is expected to work a total of 251 days for 8 hours each.
How much will Justin earn for the year (i.e. gross annual salary)?
A. $22,891.20
B. $28,611.00
C. $29,412.00
D. $31,120.00

The question is provided in the link here: https://i.imgur.com/tVvZNMZ.png
Click here to see answer by MathLover1(20850)

Question 1160601: Is it A? I'm checking my answers.
Bill is paid bi-weekly and has a gross pay of $1500 for each pay period.
He pays Social Security at a rate of 6.2%, Medicare at a rate of 1.45%, and pays combined taxes of 16.2%.
What will be his net paycheck be if those are the only deductions?
A. $1142.25
B. $1360.95
C. $1210.15
D. $139.05
The question is provided in the link here: https://i.imgur.com/tfbNmm3.png
Click here to see answer by MathLover1(20850)

Question 1160603: Is It A? I'm checking my answers.
Sam deposited $4400 in a savings account earning 6% compounded monthly. If she makes no other deposits or withdrawals, how much will she have in her account in two years?
A. $4959.50
B. $4928.00
C. $9342.76
D. $9328.00

The question is provided in the link here: https://i.imgur.com/Id03qWq.png
Click here to see answer by MathLover1(20850)

Question 1160604: Is B correct? I'm checking my answers.

Jenny plans to invest $9,000. America's Bank offers a 10 year CD at an annual interest rate of 3.8% compounding interest semi-annually. How much is her investment worth at the end of the 10 years?
A. $9,000
B. $13,114
C. $15,840
D. $18,000

The question is provided in the link here: https://i.imgur.com/4Jp2KGd.png
Click here to see answer by MathLover1(20850)

Question 1160606: Is it C? I'm checking my answers.
Carla plans to invest $9,000 for 10 years. Better Bank offers a 10 year CD at an annual rate of 4% using simple interest. How much is the investment worth?

A .$3,600
B. $9,000
C. $12,000
D. $18,000

The question is provided in the link here: https://i.imgur.com/VEqsAqF.png
Click here to see answer by MathLover1(20850)

Question 1160609: Is it B? I'm checking my answers.
Chris is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3.8%
He is financing it over 30 years and making monthly payments. what is the monthly payment?

A. $416.67
B. $698.94
C. $833.33
D. $1393.88

The question is provided in the link here: https://i.imgur.com/kBftnvD.png
Click here to see answer by MathLover1(20850)

Question 1160608: Is it B? I'm checking my answers.
Samantha and Luke got married. They received $4,500 in gift money and deposited it into a savings account that pays 2.85% simple interest. How much will they have in savings after 3 years?

A.$384.75
B. $4,884.75
C. $9,000.00
D. $38,475.75

The question is provided in the link here: https://i.imgur.com/KFZ9PJC.png
Click here to see answer by MathLover1(20850)

Question 1160610: Is it C? I'm checking my answers.
Chris is purchasing a house and needs to finance a $150,000 mortgage from the bank with an annual percentage rate (APR) of 3.8%
He is financing it over 30 years and making monthly payments. What is the total amount Chris will pay back to the bank?
Group of answer choices
A. $501,796
B. $299,998
C. $251,618
D. $150,001

The question is provided in the link here: https://i.imgur.com/vCzSmop.png
Click here to see answer by MathLover1(20850)

Question 1160683: What is the probability of drawing a BLACK card OR a card with a LETTER?

A. 21/26
B. 4/12
C. 17/26
D. 1/2

The image for the question and the answer choices are in the link here: https://i.imgur.com/5NFjKNS.png
Click here to see answer by Theo(13342)

Question 1160681: An opaque bag contains 5 green marbles, 3 blue marbles, and 2 red marbles. Two marbles are randomly drawn without replacement.
A. 1/5
B. 3/10
C. 2/9
D. 1/3

The question and the answer choices in the link here: https://i.imgur.com/CdhrAdS.png
Click here to see answer by MathLover1(20850)

Question 1160723: Is it A? I want to check my answer.
Which of the following best describes a Hamiltonian Circuit.
Group of answer choices
A. A path that uses each VERTEX of a graph exactly once and ends at the starting vertex.
B A path that uses each EDGE of a graph exactly once and ends at a vertex different from the starting vertex.
C. A path that uses each VERTEX of a graph exactly once and ends at a vertex different from the starting vertex.
D. A path that uses each EDGE of a graph exactly once and ends at the starting vertex.
Click here to see answer by jim_thompson5910(35256)

Question 1160724: Is it B? I want to check my answers.

Which of the following best describes a HAMILTONIAN PATH.
A. A path that uses each VERTEX of a graph exactly once and ends at the starting vertex.
B. A path that uses each VERTEX of a graph exactly once and ends at a vertex different from the starting vertex.
C. A path that uses each EDGE of a graph exactly once and ends at the starting vertex.
D. A path that uses each EDGE of a graph exactly once and ends at a vertex different from the starting vertex.
Click here to see answer by jim_thompson5910(35256)

Question 1160742: Which of the following is a Hamiltonian Circuit, beginning at vertex A, for the given graph?
A. ADBCA
B. ABCDA
C. ACBDA
D. all of the above

The graph for the question and the question itself are in the question here: https://i.imgur.com/TCEqxzO.png
Click here to see answer by MathLover1(20850)

Question 1160745: Is it A? I want to check my answers.
Which two vertices are ADJACENT to each other?
A. Vertex A and Vertex D
B. Vertex D and Vertex E
C. Vertex A and Vertex B
D. Vertex C and Vertex D

The graph for the question and the question itself are in the link here:
https://i.imgur.com/WxvoWOe.png
Click here to see answer by greenestamps(13200)

Question 1160743: For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$____

The question is in the question here: https://i.imgur.com/I2ee60p.png
Click here to see answer by greenestamps(13200)

Question 1160765: Is it A? I want to check my answers.
Which two vertices are ADJACENT to each other?
A. Vertex A and Vertex D
B. Vertex D and Vertex E
C. Vertex A and Vertex B
D. Vertex C and Vertex D

The graph for the question and the question itself are in the link here:

https://i.imgur.com/WxvoWOe.png
Click here to see answer by ikleyn(52788)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790