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Question 1209015: Using the annuity table, complete the following. (Use Table 13.1.)
Note: Do not round intermediate calculations. Round your answer to the nearest cent. each payment period has $1,410 and the length is 8 years and the percent is 8%

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Question 1209196: Lucky's Shop Mart is a local business that sells a variety of items. One of those is a computer with a sticker price of $1000.
Monthly members get an automatic 30% discount on everything in the store. During the months of August and September, a back-to-school 25% discount is applied to computers only. The discounts stack.
The state sales tax is 7%. County sales tax is a separate 2.5%.
Fred is a monthly member who uses a 10% discount coupon to buy a computer on September 3rd.
How much does Fred pay for the computer after including all three discounts and the two types of sales tax? Round to the nearest cent.

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Question 1209197: Megan wants to buy an item worth $400. She has two coupons of 10% and 15% off. What is the total discount rate, as a percentage, if she used both coupons? Hint: The answer is not 25%
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Question 1209197: Megan wants to buy an item worth $400. She has two coupons of 10% and 15% off. What is the total discount rate, as a percentage, if she used both coupons? Hint: The answer is not 25%
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Question 1209199: An electronics store offers separate discount coupons of 5%, 10%, and 15%.
Bill uses one of each coupon to buy a computer with sticker price $1000.
When Bill gets his receipt, a dark smudge covers up the sales tax percentage, but he can see the final total at the very bottom of the receipt is $773.99
(a) What is the sales tax percentage? Round to the nearest tenth of a percent.
(b) If there wasn't any sales tax, how much would Bill spend? Round to the nearest penny.

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Question 1209199: An electronics store offers separate discount coupons of 5%, 10%, and 15%.
Bill uses one of each coupon to buy a computer with sticker price $1000.
When Bill gets his receipt, a dark smudge covers up the sales tax percentage, but he can see the final total at the very bottom of the receipt is $773.99
(a) What is the sales tax percentage? Round to the nearest tenth of a percent.
(b) If there wasn't any sales tax, how much would Bill spend? Round to the nearest penny.

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Question 1209201: A store owner wants to provide a discount of 40%. They discover an item is already marked 25% off.
Rather than change the sign the owner decides to stack another discount on top of this current one.
What additional discount is necessary for the two combined discounts to be equivalent to 40% off? Hint: the answer is not 15%

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Question 1209220: Claire is away at college and needs something from home, 625 miles away. She arranges to meet her father at a location in between home and college, so he can give her the item.
a. Claire averages 55 mph, and her part of the trip takes h hours. Represent the miles she drove algebraically.
b. Her father takes 2 more hours than Claire to make his part of the trip, and his average speed is 50 mph. Represent the distance he drove algebraically.
c. Using your answers from (a) and (b), write the sum of the distances driven by Claire and her father. Simplify your expression as much as possible.
d. What is the actual sum of the distances that they both drove?
e. Write an equation that can be used to find the number of hours they traveled.
f. How many hours did it take Claire to drive her part of the trip?
g. How many miles did Claire drive?
h. How many hours did her father drive for his part of the trip?
i. How many miles did her father drive?

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Question 1209221: $3000 is deposited at 8% compounded semiannually. How long does it take to double? Round to the nearest tenth of a year.
Use the formula
A=P(1+r/n)^nt
possible answers
1.) 8.8 years
2.) 9.2 years
3.) 9 years
4.) 8.6 years

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Question 1209221: $3000 is deposited at 8% compounded semiannually. How long does it take to double? Round to the nearest tenth of a year.
Use the formula
A=P(1+r/n)^nt
possible answers
1.) 8.8 years
2.) 9.2 years
3.) 9 years
4.) 8.6 years

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Question 1200973: Carter expects to live for 30 years more after his retirement. He would like to withdraw $120,000 every year from his investment account (Account A) to pay for his living expenses. Carter’s investment account (Account A) pays 5% interest per year.
How much money (a lump-sum) will Carter required to deposit in Account A at the beginning of his retirement (at age 60) to pay for his living expenses if
(i) Account A start to pay interest one year after his retirement?

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Question 1201045: Question 2 (20 marks)
a) Carter expects to live for 30 years more after his retirement. He would like to withdraw $120,000 every year from his investment account (Account A) to pay for his living expenses. Carter’s investment account (Account A) pays 5% interest per year.
How much money (a lump-sum) will Carter required to deposit in Account A at the beginning of his retirement (at age 60) to pay for his living expenses if
(i) Account A start to pay interest one year after his retirement? (5 marks)
(ii) Account A start to pay interest on the day of his retirement? (5 marks)
[Hint: The total deposit that Carter made at the beginning of his retirement in Account A should be the same as the amount required to provide for the monthly living expenses during his retirement years.]
2
b) Continued with part (aii). Suppose Carter has just had his 35th birthday today and decided to begin his retirement (exactly) 25 years from now, at his age of 60.
To ensure having sufficient funds to meet his goal, Carter plans to start depositing a fixed amount at the end of every month to a retirement savings account (Account B) that pays an interest of 12%, compounded monthly. The first deposit will be made today (on his 35th birthday) and the last on his 58th birthday.
(i) Compute the size of the monthly deposit into Account B that will allow Carter to meet the financial goal of his retirement. (8 marks)
(ii) If Carter is going to make one single (lump-sum) deposit into Account B on his 40th birthday instead, how much will that be for him to achieve the goal?

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Question 1200986: Carter expects to live for 30 years more after his retirement. He would like to withdraw $120,000 every year from his investment account (Account A) to pay for his living expenses. Carter’s investment account (Account A) pays 5% interest per year.
How much money (a lump-sum) will Carter required to deposit in Account A at the beginning of his retirement (at age 60) to pay for his living expenses if
(i) Account A start to pay interest one year after his retirement? (5 marks)
(ii) Account A start to pay interest on the day of his retirement? (5 marks)
Continued with part (aii). Suppose Carter has just had his 35th birthday today and decided to begin his retirement (exactly) 25 years from now, at his age of 60. To ensure having sufficient funds to meet his goal, Carter plans to start depositing a fixed amount at the end of every month to a retirement savings account (Account B) that pays an interest of 12%, compounded monthly. The first deposit will be made today (on his 35th birthday) and the last on his 58th birthday.
(i) Compute the size of the monthly deposit into Account B that will allow Carter to meet the financial goal of his retirement. (8 marks)
(ii) If Carter is going to make one single (lump-sum) deposit into Account B on his 40th birthday instead, how much will that be for him to achieve the goal? (2 marks)

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Question 1200972: Continued with part (aii). Suppose Carter has just had his 35th birthday today and decided to begin his retirement (exactly) 25 years from now, at his age of 60. To ensure having sufficient funds to meet his goal, Carter plans to start depositing a fixed amount at the end of every month to a retirement savings account (Account B) that pays an interest of 12%, compounded monthly. The first deposit will be made today (on his 35th birthday) and the last on his 58th birthday.
(i) Compute the size of the monthly deposit into Account B that will allow Carter to meet the financial goal of his retirement. (8 marks)
(ii) If Carter is going to make one single (lump-sum) deposit into Account B on his 40th birthday instead, how much will that be for him to achieve the goal? (2 marks)

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Question 1200719: For the following sales data, spanning 4 years, perform a trend and seasonal indices analysis, use a multiplicative model. (Note-this example shows only 3 seasons in a year which is not the norm.)


year season sales
1 1 1856
1 2 2012
1 3 985
2 1 1995
2 2 2168
2 3 1072
3 1 2241
3 2 2306
3 3 1105
4 1 2280
4 2 2408
4 3 1120


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Question 1200718: A bank has taken a random sample of 4 customers for each set of various criteria to determine their level of customer satisfaction on a scale of 0 to 10. The data appear in the table below.

Time of day Automated Bank Representative Row means
Morning 6, 5, 8, 4 8, 7, 9, 9 Row 1
𝑥 = 5.75 𝑥 = 8.25 𝑥 = 7.00
Afternoon 3, 5, 6, 5 9, 10, 6, 8 Row 2
𝑥 = 4.75 𝑥 = 8.25 𝑥 = 6.50
Evening 5, 5, 7, 5 9, 10, 10, 9 Row 3
𝑥 = 5.50 𝑥 = 9.50 𝑥 =7.50
Column means Column 1 𝑥 = 5.33 Column 2 𝑥 = 8.67 Total 𝑥 =7.00

For the two measurement problem, use an a = 0.05 level of significance. Conduct appropriate hypothesis tests and conclude whether to reject or not reject the claim that:
a. there is no difference in population mean satisfaction depending on time of contact,
b. there is no difference in population mean satisfaction depending on type of customer contact and
c. there is no interaction between type of contact and time of contact.

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Question 1201245: A company wishes to produce two types of souvenirs: Type A and Type B. Each Type A souvenir will result in a profit of $1, and each Type B souvenir will result in a profit of $1.20. To manufacture a Type A souvenir requires 2 minutes on Machine I and 1 minute on Machine II. A Type B souvenir requires 1 minute on Machine I and 3 minutes on Machine II. There are 3 hours available on Machine I and 5 hours available on Machine II.
(a) The optimal solution holds if the contribution to the profit of a Type B souvenir lies between $
? and ?

(b) Find the contribution to the profit of a Type A souvenir (with the contribution to the profit of a Type B souvenir held at $1.20), given that the optimal profit of the company will be $172.80.
$ ?

(c) What will be the optimal profit of the company if the contribution to the profit of a Type B souvenir is $2.50 (with the contribution to the profit of a Type A souvenir held at $1.00)?

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Question 1200290: Please help me solve the following question--
Suppose that the demand equation for a monopolist is p = 100 -0.01x and the cost function is C(x) = 50x + 10,000. Find the value of x that maximizes the profit and determine the corresponding price and total profit for this level of production. Then, also find it under the condition that the government has imposed an excise tax of $10 per unit.

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Question 1200113: A manufacturer uses 1000 items uniformly throughout the year. The cost to produce the items in-house is $40 for set-up and $5.20 per item. Insurance and taxes are estimated as 12% of average inventory, and it costs $0.80 to store each unit for one complete year. How many of these items should the manufacturer produce at a time?
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Question 1199323: major automobile company claims that its new model has an average rating of 25 mpg (miles per gallon). Company officials concede that some cars vary based on a variety of factors, and that the mpg performances have a standard deviation of 4 mpg. You are employed by a consumer protection group that routinely test-drives cars. Taking five cars at random off the assembly line, your group finds them to have a poor mpg performance defined as 20 mpg or below.
a. Assuming the company’s claim to be true (μ = 25 and σ = 4), what is the probability that a single car selected randomly performs poorly (mpg of 20 or below)?
b. Assuming the company’s claim to be true (μ = 25 and σ = 4), what is the probability that five cars selected randomly all perform poorly (mpg of 20 or below)?
c.iven the poor performance that your group observed with the five test cars, what conclusion can you draw about the company’s mpg claim?

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Question 1198890: VABC is a right pyramid whose base is an equilateral triangle Abc of side 8cm. If VA = 13cm and the altitude of DABC meet at x. Calculate
AX, VX, the angle which VAB makes with ABC

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Question 1198784: Consider a perfectly competitive firm charging a price of P for each unit of output it sells (Q) and paying input price w and r for the two inputs it uses (L and K). Output is, in turn, a function of L and K via Q = Q(L, K) = L^α K^β; where Q>0, K>0, L>0 and α and β positive constant
A. Write the profit function of the firm (this function should not involve Q), and find the critical value (expressing the firm’s choice variables in terms of exogenous variables).
B. What restrictions must be improved for the sufficient conditions for a maximum to be satisfied?
C. For the case where the sufficient condition for a maximum are fulfilled, find the firm’s input demand function (demand for labor and demand for capital) the firm’s output supply function, and explain how each of these functions responds to change in each of its arguments.

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Question 1198785: Given the profit function π(Q) = -4Q^3 +237Q^2 - 1314Q-8000 where π is in dollar and Q is in ton
A. Find and characterize the critical value(s) of the function
B. With the restriction that output is non-negative, is the profit function concave over its entire domain? Is it convex over its entire domain?
C. If your answer to b above is “No” in both cases, find out the interval over which it is concave, the interval over which it is convex, and comment on the dividing line. If your answer to b is different, come up with your own function which has both concave and convex parts and describe the situation.

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Question 1198796: Hello, my subject is investments hopefully I found the right section.
My problem is: Calculate the preferred and common dividend per share (in $) for the company. (If there is no answer, enter NONE.)
Common stock shares: 8,000,000
Preferred stock: Shares: 1,000,000. Div or Par: $100, 6%. Cum: No.
Dividend: 5,000,000
Declared arrears: None
Preferred Div./Share:
Common Div./Share:

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Question 1199826: In a study, researchers wanted to measure the effect of alcohol on the hippocampal region, the portion of the brain responsible for long-term memory storage, in adolescents. TI researchers randomly selected 23 adolescents with alcohol use disorders to determine whether the hippocampal volumes in the alcoholic adolescents were less than the norma volume of 8.78 cm°
An analysis of the sample data revealed that the hippocampal volume is approximately normal with no outliers and § = 7.72 cm
3 and s = 0.9 cm
3. Conduct
appropriate test at the a = 0.05 level of significance.
= Click the icon to view the table of critical t-values.

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Question 1198754: 9) The demand equation for a manufacturing product is p=20-0.25q, where q is the number of units and p is the price per unit.
(a) Write the Total Revenue (TR), Average Revenue (AR) and Marginal Revenue (MR) equations.
(b) At what value of q will there be the total revenue at its maximum?
(c) What price should the firm charge to achieve this maximum total revenue?
(d) What is the maximum total revenue?

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Question 1198608: The lifetime of Evergo bulbs is normally distributed with a mean of 400 hours and a standard deviation of 50 hours.
(I) What percentage of the bulbs will burn out in less than 360 hours?
(II) How many hours will 80% of Evergo bulbs burn out?
2. Supposed that a computerized procedure generates integer values between 1 and 5 (i.e 1,2,3,4, and 5) in such a way that each value has the same chance of selection. Let X represent a generated value.
a) Describe the probability distribution of X.
b) What is the mean and variance of the random variable X?

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Question 1198540: Mutual Funds Suppose that in a certain year, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to yield 3%, and the Madison Asset Management Madison Strategic Sector Premium fund (MSP) was expected to yield 8%. You would like to invest a total of up to $60,000 and earn at least $3500 in interest. Draw the feasible region that shows how much money you can invest in each fund (based on the given yields). (Place ZTR on the x-axis and MSP on the y-axis.)


Find the corner points of the region. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DNE.)
(x, y)
=

(x, y)
=

(x, y)
=




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Question 1198538: Mutual Funds Suppose that in a certain year, the Phoenix/Zweig Advisors Zweig Total Return fund (ZTR) was expected to yield 3%, and the Madison Asset Management Madison Strategic Sector Premium fund (MSP) was expected to yield 8%. You would like to invest a total of up to $60,000 and earn at least $3500 in interest. Draw the feasible region that shows how much money you can invest in each fund (based on the given yields). (Place ZTR on the x-axis and MSP on the y-axis.)
(x, y)
=

(x, y)
=

(x, y)
=


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Question 1198834: Suppose that your unsubsidized Stafford loans plus accumulated interest total $ 35000 at the time you start repayment, the interest rate is 6% APR, and you elect the standard repayment plan of a fixed amount each month for 10 years. What is your monthly repayment?
Repayment amount =
How much will you pay in interest?
Interest paid =

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Question 1198755: Suppose that the demand equation for a monopolist’s product is P=400-2Q and the average cost function is AC=400/Q+4+0.2Q , where Q is the number of units and p is the price per unit.
Write down the equations for TC and TR.
Calculate the price and quantity at which profit is maximised. Determine the maximum profit.

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Question 1197302: Hi, please help me solve this problem
1.If the coupon rate of USD 1000 is 6%, the coupon rate is semiannual, the yield is 5%, and the maturity is 9 years, what is the price?
2.If the yield rises to 7%, what will the bond price be?
3.If the yield to maturity is 7%, what is the current bond yield?

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Question 1196231: If m= 1 -1 k
4 7 3
-1 12 -2
Evaluate in term of k the determinant of m. Hence, if x= x
y
z
slove the equation MX= 1
11
21
when k=2, by the cot method

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Question 1196245: Paul owes Winston R1000.00 due in Three years and R8000 due in five years. Paul wishes to reschedule his debt so as to pay two sums on different dates, one say x in one year and the other 2x five years later. Winston agrees provided that the interest rate is 18% per annum compounded quarterly. What are Paul's payment?
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Question 1196192: Paul owes Winston R1000 due in three years and R8000 due in five years. Paul wishes to reschedule his debt so as to pay two sums on different dates one say x in one year, and the other 2x five years later. Winston agrees provided that the interest is 18% per annum compounded quarterly. What are Paul's payments?
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Question 1196128: Paul owes Winston R1000 due in Three years and R8000 due in five years. He wishes to reschedule his debt so as to pay two sums on different dates, one say x in one year, and the other 2x five years later. Winston agrees provided that the interest rate is 18% per annum compound quarterly. What are Paul's payments?
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Question 1196116: Paul owes Winston R1000 due in three years and R8000 due in five years. He wishes to reschedule so as to pay two sums on different dates, one say x in one year, and the other 2x five years later. Winston agrees provided that the interest rate is 18% per annum compound quarterly. What are Paul's payments?
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Question 1196106: Please help with the homework:
Paul owes Winston R1000.00 due in Three years and R8000.00 due in five years. He wishes to reschedule his debt so as to pay two sums on different dates, one say x in one year, and the other 2x in five years later. Winston agrees provided that the interest rate is 18% per annum compound quarterly. what are Paul's payments?

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Question 1196127: Please help me with the homework:
1. Compare the amounts on a principal of R5000.00 for the five and one- quarter period at 18% interest per annum if:
1.1.Simple interest is used for the odd period and compound interest for the rest of the term.
1.2. fractional compound is used for the full term.

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Question 1196060: Please help me with the homework:
Calculate the sum accumulated on a fixed deposit of R10000 invested on the 15 march 2012 until 1 July 2014 and if interest is credited annually on the 01 July at the 15.5% per annum? Use fractional compound to calculate

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Question 1195308: A 100-ft steel tape weighing 2.2 lbs is of standard length under a tension of 12 lbs, supported for full length. This tape was used in laying out a line (found to be 1000.00 ft) on smooth level ground under a steady pull of 15 lbs. Assuming E = 29X 10° psi and that 3.53 cubic inches of steel weighs 1,0 lbs, determine the ff:
a) cross-sectional area of the tape
b) correction for increase in tension per tape length
c) correction for increase in tension whole length measured
d) Corrected length for the effect of increased tension.

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Question 1195336: Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies?
Determine the probability of a composition shingle roof claim out of 10,000 = ?
Determine the probability of a shake roof claim out of 10,000 = ?

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Question 1194896: Please help with the homework:
Calculate the sum accrued on a fixed deposit of R10000 is invested on 15 march 2021 until 1 July 2023, if interest is credited annually on the 1 July at 15,5%.

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Question 1199609: Suppose the demand function for a monopoly's product is P=400-2Q and the average cost function is 𝐴𝐶=400/Q+4+0.2𝑄, where Q is the number of units and p is the price per unit. i) Write the Total Cost (TC) and Total Revenue (TR) functions. ii) Calculate the profit maximizing price and quantity. Determine the maximum profit.
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Question 1199607: Suppose the demand function for a monopoly's product is P=400-2Q and the average cost function is 𝐴𝐶=400𝑄+4+0.2𝑄, where Q is the number of units and p is the price per unit. i) Write the Total Cost (TC) and Total Revenue (TR) functions. (4 points) ii) Calculate the profit maximizing price and quantity. Determine the maximum profit.
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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