Questions on Algebra: Equations answered by real tutors!

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Question 1176304: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume there are 360 days in a year.
P​ = ​$9000​, r​ = ​9.0%, t​ = 6 months

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Question 1176301: A single woman earned wages of​ $57,000, received​ $2500 in interest from various​ accounts, and contributed​ $2000 to a​ tax-deferred savings plan. She is entitled to a personal exemption of​ $3800 and a standard deduction of​ $5950. She paid a total of​ $8000 in taxes and contributed​ $3000 to charity.
Determine her taxable income.
$__

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Question 1176300: A man earned wages of ​$​45,600, received ​$2700 in interest from a savings​ account, and contributed ​$2600 to a​ tax-deferred retirement plan. He was entitled to a personal exemption of ​$4050 and a standard deduction of ​$6300. The interest on his home mortgage was ​$​9100, he contributed ​$2900 to​ charity, and he paid ​$1550 in state taxes. Find his gross​ income, adjusted gross​ income, and taxable income. Base the taxable income on the greater of a standard deduction or an itemized deduction.
His gross income is ​$__. ​(Simplify your​ answer.)

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Question 1176295: The principal P is borrowed at a simple interest rate r for a period of time t. Find the simple interest owed for the use of the money. Assume 360 days in a year.
P​ = ​$9000​, r​ = ​3%, t​ = 1 year

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Question 1176245: Romell receives 5 points for each correct answer on the test and loses two points for each incorrect answer . Write an equation showing that Reggie received 30 points. write an equation showing that Reggie answered all 35 questions on the test
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Question 1176245: Romell receives 5 points for each correct answer on the test and loses two points for each incorrect answer . Write an equation showing that Reggie received 30 points. write an equation showing that Reggie answered all 35 questions on the test
Click here to see answer by josgarithmetic(39616) About Me 

Question 1176308: Evaluate the function f(x) = -x^2 + 2 at the given value of the variable.
a. ​f(​3) = __ ​(Simplify your​ answer.)
b. ​f(​-3) = __ ​(Simplify your​ answer.)

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Question 1176306: Evaluate the function f(x) = x - 9 at the given value of the variable.
a. ​f(​14) = __ ​(Simplify your​ answer.)
b. ​f(​7) = __ ​(Simplify your​ answer.)

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Question 1176307: Evaluate the function f(x) = x^2 - 2 at the given value of the variable.
a. ​f(​-3) = __ ​(Simplify your​ answer.)
b. ​f(​1) = __ ​(Simplify your​ answer.)

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Question 1176307: Evaluate the function f(x) = x^2 - 2 at the given value of the variable.
a. ​f(​-3) = __ ​(Simplify your​ answer.)
b. ​f(​1) = __ ​(Simplify your​ answer.)

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Question 1176310: Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.

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Question 1176311: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
4ax + 5y = 28
ax + 6y = 26
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The solution set is {__} ​(Simplify your answer. Type an ordered​ pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|__}.
​(Simplify your answer. Type an​ equation.)
C. There is no solution. The solution set is Ø.

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Question 1176311: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
4ax + 5y = 28
ax + 6y = 26
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The solution set is {__} ​(Simplify your answer. Type an ordered​ pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|__}.
​(Simplify your answer. Type an​ equation.)
C. There is no solution. The solution set is Ø.

Click here to see answer by ewatrrr(24785) About Me 

Question 1176315: Determine the effective annual yield for each investment. Then select the better investment. Assume 360 days in a year.
8.5% compounded​ monthly; 8.75% compounded annually
The effective annual yield for a 8.5% compounded monthly investment is __%.
​(Round to two decimal places as​ needed.)

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Question 1176318: How much money should be deposited today in an account that earns 8% compounded semiannually so that it will accumulate to $15,000 in three​ years?
The amount of money that should be deposited is ​$__.
​(Round up to the nearest​ cent.)

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Question 1176317: How much money should be deposited today in an account that earns 6.5% compounded monthly so that it will accumulate to $13,000 in three​ years?
The amount of money that should be deposited is ​$__.
(Round up to the nearest​ cent.)

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Question 1176320: Solve the inequality: 5x+6y>30
(y > -5/6x+5 is what I got, is this correct?)

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Question 1176320: Solve the inequality: 5x+6y>30
(y > -5/6x+5 is what I got, is this correct?)

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Question 1176314: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
7ax + 2y = 20
ax + 3y = -8
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.
The solution set is {__} ​(Simplify your answer. Type an ordered​ pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|__}.
​(Simplify your answer. Type an​ equation.)
C. There is no solution. The solution set is Ø.

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Question 1176319: A depositor opens a new savings account with $6000 at 7% compounded semiannually. At the beginning of year ​5, an additional ​$5000 is deposited. At the end of six ​years, what is the balance in the​ account?
The balance in the account at the end of 6 years is ​$__.
​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

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Question 1176332: Use the 2016 FICA tax​ rates, shown​ below, to answer the following question.
If a taxpayer is not​ self-employed and earns ​$167,000, what are the​ taxpayer's FICA​ taxes?
Employee's Rates:
7.65% on first​ $118,500 of income
​1.45% of income in excess of​ $118,500
Matching Rates Paid by the Employer:
7.65% on first​ $118,500 paid in wages
​1.45% of wages paid in excess of​ $118,500
​Self-Employed Rates:
15.3% on first​ $118,500 of net profits
​2.9% of net profits in excess of​ $118,500
FICA taxes are ​$__.
(Type an integer or a decimal. Round to the nearest cent as​ needed.)

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Question 1176331: Use the 2016 FICA tax​ rates, shown​ below, to answer the following question.
If a taxpayer is not​ self-employed and earns ​$132,000,


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Question 1176331: Use the 2016 FICA tax​ rates, shown​ below, to answer the following question.
If a taxpayer is not​ self-employed and earns ​$132,000,


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Question 1176323: If f(x)=2x^2-3x-6, find the value of f(-3)+f(2). (I'm completely stumpted on this one :( )
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Question 1176333: In​ 2016, to help pay for​ college, you worked​ part-time at a local​ restaurant, earning $27,000 in wages and tips.
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Question 1176328: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
6ax + 7y = -10
ax + 4y = -13
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.The solution set is {__} ​(Simplify your answer. Type an ordered​ pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|__}.
​(Simplify your answer. Type an​ equation.)
C. There is no solution. The solution set is Ø.

Click here to see answer by MathLover1(20849) About Me 
Question 1176328: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
6ax + 7y = -10
ax + 4y = -13
Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.
A.The solution set is {__} ​(Simplify your answer. Type an ordered​ pair.)
B. There are infinitely many solutions. The solution set is {(x,y)|__}.
​(Simplify your answer. Type an​ equation.)
C. There is no solution. The solution set is Ø.

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Question 1176395: Evaluate​ f(x) for the given values for x. Find each value of x, evaluate f(x).
f(x) = x - 4

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Question 1176395: Evaluate​ f(x) for the given values for x. Find each value of x, evaluate f(x).
f(x) = x - 4

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Question 1176398: f(x) = (1/2)^x
For each value of​ x, find the corresponding value for​ f(x).
x: -2, -1, 0, 1, 2
f(x) = (1/2)^x: __, __, __, __, __
​(Simplify your​ answers.)

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Question 1176398: f(x) = (1/2)^x
For each value of​ x, find the corresponding value for​ f(x).
x: -2, -1, 0, 1, 2
f(x) = (1/2)^x: __, __, __, __, __
​(Simplify your​ answers.)

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Question 1176397: Todd had 6 gallons of gasoline in his motorbike. After driving 150​ miles, he had 3 gallons left. Compute the​ slope, or rate of change in the amount of gasoline.
The rate of change is __ miles per gallon.

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Question 1176401: Advice from most financial advisers states to spend no more than​ 28% of​ one's gross monthly income for one's mortgage​ payment, and to spend no more than​ 36% of​ one's gross monthly income for​ one's total monthly debt. Suppose a family has a gross annual income of $45,600.


a. What is the maximum amount the family should spend each month on a mortgage​ payment?


b. What is the maximum amount the family should spend each month for total credit​ obligations?


c. If the​ family's monthly mortgage payment is 70​% of the maximum they can​ afford, what is the maximum amount they should spend each month for all other​ debt?

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Question 1176411: Evaluate​ f(x) for the given value for x.
f(x) = x + 3

x: f(x) = x + 3
-1: __

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Question 1176414: Solve the system for x and​ y, expressing either value in terms of​ a, if necessary. Assume that a ≠ 0.
6ax + 7y = 23
ax + 3y = 2

Select the correct choice below​ and, if​ necessary, fill in the answer box within your choice.

A.The solution set is {__}. (Simplify your answer. Type an ordered​ pair.)

B. There are infinitely many solutions. The solution set is {(x,y) |__}.

​(Simplify your answer. Type an​ equation.)

C. There is no solution. The solution set is Ø.

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Question 1176433: 77 is the product of Julie's height and 7.j represents Julias height
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Question 1176433: 77 is the product of Julie's height and 7.j represents Julias height
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Question 1176434: 23 more than Gails age is 42 variable g represents gail age
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Question 1176434: 23 more than Gails age is 42 variable g represents gail age
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Question 1176436: 23 more than gails age is 42 use variable g to represents gails age
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Question 1176436: 23 more than gails age is 42 use variable g to represents gails age
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Question 1176462: The product of Donnie's height and 5 is 65
use variable d represents Donnie's height

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Question 1176476: How is the graph of Equation 2 related to
the graph of Equation 1?
E1- 𝑦 = 5x
E2- 𝑦 = 5𝑥 − 4

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Question 1176478: How is the graph of Equation 2 related to
the graph of Equation 1?
E1- 𝑦 = 1/-2 x
E2- y= -1/2
x= -8

E1- 𝑦 = 3𝑥
E2- 𝑦 = 3𝑥 + 4

E1- 𝑦 = 4𝑥
E2- 𝑦 = 4𝑥 − 3

E1- 1/2 x + 1
E2- 𝑦 = 𝑥 + 1

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Question 1176559: The width of a rectangle measures (3n+8p)(3n+8p) centimeters, and its length measures (3n-4p)(3n−4p) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?



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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, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 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