Questions on Algebra in Finance answered by real tutors!

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Question 1122618: A service station has 36 octane and 84 octane gasoline. How many liters of each gasoline should be mixed to provide 12 liters of 68 octane gasoline for a chemistry​ experiment?
Click here to see answer by josgarithmetic(39617) About Me 

Question 1122628: find the greatest number which leaves a remainder 10 in each case when divided by 56, 84 and 140.
Click here to see answer by ikleyn(52781) About Me 

Question 1122643: A tortoise and a hare are competing in a 1200-meter race. The arrogant hare decides to let the tortoise have a 530-meter head start. When the start gun is fired the hare begins running at a constant speed of 9 meters per second and the tortoise begins crawling at a constant speed of 5 meters per second.
a. Define a function f to represent the tortoise's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
f(t)=
b. solve f(t)=0 for t
t=
c. Define a function g to represent the hare's distance from the finish line (in meters) in terms of the number of seconds t since the start of the race.
g(t)=
d. solve g(t)=0 for t
t=
e. who won the race

Click here to see answer by Boreal(15235) About Me 

Question 1122635: Ashley is comparing three investment accounts offering different rates.
Option A: APR of 4.95% compounding monthly
Option B: APR of 4.85% compounding quarterly
Option C: APR of 4.895% compounding daily

She would like to earn at least a 5% annual yield. Which account(s) will give Alexandra the yield she wants? (3 points)

Options A and B only

Option B only

Options A and C only

Click here to see answer by Boreal(15235) About Me 

Question 1122662: Need help
Click here to see answer by solver91311(24713) About Me 
Question 1122662: Need help
Click here to see answer by Alan3354(69443) About Me 

Question 1122680: Simplify (cot 25 + tan 65)/ cot 25
Click here to see answer by josmiceli(19441) About Me 

Question 1122684: Three corners of a rectangle are located at (-6, -2), (3, -2), and (3, 5). Find the location of the fourth corner.
Hint: It may be easiest if you plot the points!
A. None of these.
B. (2, -4)
C. (-6, 4)
D. (-6, 5)
E. (-3, 2)

Click here to see answer by solver91311(24713) About Me 

Question 1122685: If (11, b) is a solution of the equation 3x - 2y = 17, what is b?
A. b = 23/3
B. b = 4
C. b = 11/3
D. b = 8
E. None of these

Click here to see answer by solver91311(24713) About Me 
Question 1122685: If (11, b) is a solution of the equation 3x - 2y = 17, what is b?
A. b = 23/3
B. b = 4
C. b = 11/3
D. b = 8
E. None of these

Click here to see answer by josmiceli(19441) About Me 

Question 1122687: Determine the slope of a line perpendicular to a line whose slope is -3/7.
A. None of these.
B. The slope of a perpendicular line is - 7/3.
C. The slope of a perpendicular line is - 3/7.
D. The slope of a perpendicular line is 7/3.
E. The slope of a perpendicular line is 3/7.

Click here to see answer by solver91311(24713) About Me 
Question 1122687: Determine the slope of a line perpendicular to a line whose slope is -3/7.
A. None of these.
B. The slope of a perpendicular line is - 7/3.
C. The slope of a perpendicular line is - 3/7.
D. The slope of a perpendicular line is 7/3.
E. The slope of a perpendicular line is 3/7.

Click here to see answer by josmiceli(19441) About Me 

Question 1122691: Two lines are perpendicular, how many points do they have in common?

A. infinite
B. The answer cannot be determined from the information provided.
C. 0
D. None of these.
E. 1

Click here to see answer by Boreal(15235) About Me 

Question 1122696: Evaluate 2 sec 60
Click here to see answer by josgarithmetic(39617) About Me 
Question 1122696: Evaluate 2 sec 60
Click here to see answer by MathTherapy(10552) About Me 

Question 1122714: Vivek,ramesh,bhuvan divide a work amongst themselves in the ratio 2:3:5.Their rates of work are in the ratio 1:2:3.It takes vivek 12 days to complete his part.What is the amount of work completed by them in 8 days from the start?
Click here to see answer by Boreal(15235) About Me 
Question 1122714: Vivek,ramesh,bhuvan divide a work amongst themselves in the ratio 2:3:5.Their rates of work are in the ratio 1:2:3.It takes vivek 12 days to complete his part.What is the amount of work completed by them in 8 days from the start?
Click here to see answer by josmiceli(19441) About Me 
Question 1122714: Vivek,ramesh,bhuvan divide a work amongst themselves in the ratio 2:3:5.Their rates of work are in the ratio 1:2:3.It takes vivek 12 days to complete his part.What is the amount of work completed by them in 8 days from the start?
Click here to see answer by ikleyn(52781) About Me 

Question 1122742: You have agreed to loan some money to a friend at a simple interest rate of 100% which is outrageous but still about half of the payday loan places! To make it easy on your friend who never took Math 140 you tell him you'll give him some money now and he just needs to pay you back a nice even $700 in 2 weeks. How much money do you hand him?
$
(nearest $1)

Click here to see answer by greenestamps(13200) About Me 

Question 1122739: You can afford a $350 per month car payment. You've found a 3 year loan at 4% interest. How big of a loan can you afford?.
Click here to see answer by Theo(13342) About Me 

Question 1122762: Given that sin2A=1/3 and 2A is in Quadrant 2, what is the exact value of tanA?
Click here to see answer by math_helper(2461) About Me 

Question 1122783: Solve the inequality and graph the solution.
-2​(6y-2​)≥4​(4y-6​)

Click here to see answer by josgarithmetic(39617) About Me 

Question 1122872: Five years ago Nicole was three times as old as Rianne. Five years hence, Nicole will be twice as old as Rianne. Find their present ages.
Click here to see answer by ikleyn(52781) About Me 

Question 1122896: An experiment has sample space S={a,b,c,d}.
Suppose Pr({a,c,d})=0.85 and Pr({b,c})=0.44.
What is Pr({c})?

What is Pr({a,d})?

Enter each answer as a whole number or decimal.

Click here to see answer by greenestamps(13200) About Me 

Question 1122881: Find the equation of the parabola with vertex (-2,-1), focal length 2 and axis parallel to the y-axis
Click here to see answer by Alex.33(110) About Me 

Question 1122911: Solve this equation
X^3-14x^2+49x=0

Please and thank you

Click here to see answer by solver91311(24713) About Me 

Question 1122910: Solve this equation
X (3x-1)=14

Please and thank you

Click here to see answer by MathLover1(20849) About Me 
Question 1122910: Solve this equation
X (3x-1)=14

Please and thank you

Click here to see answer by Boreal(15235) About Me 

Question 1122899: A gumball machine contains 63 gumballs. Some are purple and the rest are yellow. There are 6 times as many purple gumballs as yellow. Because the purple gumballs are slightly smaller than the yellow, each purple gumball is 2 times as likely to be dispensed as each yellow gumball.
An experiment consists of the machine dispensing one gumball. Let each gumball be considered one outcome.
What weight should be assigned to each purple gumball?

What is the probability of the event that a yellow gumball is dispensed?

Enter your answers as whole numbers or fractions in lowest terms.

Click here to see answer by Boreal(15235) About Me 

Question 1122917: Factor the sum
X^3y^3-64

Please

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1122918: Factor the sum
250r^3-128t^3


Please

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1122782: Solve the inequality and graph the solution.
7m+2<14+2​(3m-14​)-3m

Click here to see answer by josgarithmetic(39617) About Me 
Question 1122782: Solve the inequality and graph the solution.
7m+2<14+2​(3m-14​)-3m

Click here to see answer by ikleyn(52781) About Me 

Question 1122895: An instant lottery ticket has three possible prize amounts. The probability of winning a $100 prize is 0.001, the probabality of winning a $5 prize is 0.04, and the probability of winning a $1 prize is 0.2.
With the purchase of one of these lottery tickets, what is the probability of the event that you lose (i.e. do not win a prize)?

What is the probability of the event that you win at least $5?

What is the probability of the event that you win more than $100?

Enter your answers as whole numbers or decimals.

Click here to see answer by Boreal(15235) About Me 

Question 1122897: A four-sided die is weighted so that all even numbers have an equal chance of coming up when the die is rolled, all odd numbers have an equal chance of coming up, and each even number is ten times as likely to come up as each odd number. This die is rolled once.
What is the probability of rolling the number 1?

What is the probability of rolling the number 4?

What is the probability of rolling a number greater than 1?

Enter each answer as a whole number or a fraction in lowest terms.

Click here to see answer by Boreal(15235) About Me 

Question 1122898: An experiment has four outcomes: o1, o2, o3, and o4, with corresponding weights w1, w2, w3, and w4, where w1=5k , w2=8k , w3=2k, and w4=5k.
What is the value of k?

What is Pr({o1,o4})?

Enter your answers as whole numbers or fractions in lowest terms.

Click here to see answer by greenestamps(13200) About Me 

Question 1123013: An item is regularly priced at $75 . It is now priced at a discount of 20% off the regular price. What is the price now?
Click here to see answer by ikleyn(52781) About Me 

Question 1122879: Find the equation of the focal chord that cuts the curve y^2 = 16x at (4,8)
Click here to see answer by greenestamps(13200) About Me 

Question 1123036: Need assistance please.
The width of a rectangle is 6 feet shorter than its length. If its perimeter is 82 feet, what is its
width?
I set it up as follows:
82=2(x-6)+2x
Which gave me a solution of
47/2=x
23.5=x
I cannot figure out what to do next.
Thank you

Click here to see answer by ikleyn(52781) About Me 

Question 1123038: use properties of determinants to simply and thus evaluate
|3 4 -2 3 |
|-1 2 1 -2 |
|2 -3 6 -2 |
|4 5 -7 -2 |

Click here to see answer by ikleyn(52781) About Me 

Question 1123039: using cramers rule solve the following systems of linear equations
a. x-2y+3z = -7
2y = 6
2x-z = 5
b. 3x - y + 2z = 13
-x + 4y + 2z= -1
4y + 3z = 4

Click here to see answer by MathLover1(20849) About Me 

Question 1123055: The bell rang at 15 seconds, the horn blew at 30 seconds. If the bell and the horn rang and blew together at 9:00 am, then what time will they ring/blow together?
Click here to see answer by Alan3354(69443) About Me 

Question 1123106: A square garden plot measures 125sq feet. A second square garden plot measures 405 square feet. How many more feet of fence will the second garden plot require over that required for the first garden plot?
A) 16√5 feet of additional fencing
B) 16√3 feet of additional fencing
C) 80 feet of additional fencing
D) 48 feet of additional fencing

Click here to see answer by ikleyn(52781) About Me 

Question 1123105: If a number is subtracted from 43,the principal square root of this difference is equal to the number decreased by 1, Find the number.
A) {-6}
B) {6,-7}
c) {7}
D) {-6,7}

Click here to see answer by MathLover1(20849) About Me 
Question 1123105: If a number is subtracted from 43,the principal square root of this difference is equal to the number decreased by 1, Find the number.
A) {-6}
B) {6,-7}
c) {7}
D) {-6,7}

Click here to see answer by ikleyn(52781) About Me 

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, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560