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Simplify the expression sin³(x)+cos³(x), using trigonometric functions
The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality
how many arrangements can be made of 4 letters chosen from the letters of the world ABSOLUTE in which the S and U appear together
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using the math and science known about the jefferson river bridge Find a truss in use and develop a load diagram. Use a load of 50 lb on each joint along the bottom of the truss for a truss that actrs as a bridge and along the top joints for a truss that acts as a roof
Engineers want to design seats in commercial aircraft so that they are wide enough to fit 95% of all males. (Accommodating 100% of males would require very wide seats that would be much too expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That is, find the hip breadth for men that separates the smallest 95% from the largest 5%.
Using the bank and exact method, calculate the interest on capital 10000 at 12% annual nominal interest rate for the period from 15.3. 2016 until 10/10/2016
In a laboratory test, it was found that a certain culture of bacteria develops in a favorable environment, doubling its population every 2 hours. The test started with a population of 100 bacteria. After six hours, it is estimated that the number of bacteria will be:
17. A loan for $104259 is taken out for 10 years with an annual interest rate of 9.4%, compounded quarterly. What quarterly payment is required to pay the loan off in 10 years? Enter to the nearest cent (two decimals). Do not use $ signs or commas in the answer.
A company has had the following data for two consecutive years. Total, asset item 3,100,500 euros 3,300,550 euros. Net amount of business figures 4,755,250 euros /5,100 euros Average number of workers employed during the year 64/70 You can present a balance sheet in an abbreviated form
A salesperson earns a base salary of $600 per month plus a commission of 10% of the sales she makes. You discover that on average, it takes you an hour and a half to make $100 worth of sales. How many hours will you have to work on average each month for your income to be $2000?
P 13. Let P a point inside of a square ABCD. Show that the perpendicular lines drawn from A, B, C, respectively D, to BP, CP, DP, respectively AP are concurrent. Use geometric rotation.
25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83
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A particular employee arrives at work sometime between 8:00 a.m. and 8:50 a.m. Based on past experience the company has determined that the employee is equally likely to arrive at any time between 8:00 a.m. and 8:50 a.m. Find the probability that the employee will arrive between 8:05 a.m. and 8:40 a.m. Round your answer to four decimal places, if necessary.
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(1) July 1, 2008: Receives $25,000 from Quinn Zealick for 25,000 shares of the stock common face value $1 from the bookstore. (2) July 1, 2008: Obtains $30,000 loan from local bank for needs of working capital. The loan earns 6% interest per year. The loan is payable with interest on June 30, 2009. (3) July 1, 2008: Sign a three-year rental agreement at an annual rent of $20,000 Pay the first year's rent in advance. (4) July 1, 2008: Purchases shelves for $4,000 in cash. The shelves have an estimated useful life of five years and zero residual value. (5) July 1, 2008: Purchase computers for $10,000 in cash. The computers They have an estimated useful life of three years and $1,000 in residual value. (6) July 1, 2008: Makes guarantee deposits with various book distributors for a total of $8,000. Deposits are refundable on June 30, 2009 if the bookstore pays on time all amounts payable for books purchased from distributors between July 2008 and June 30, 2009. (7) During 2008: Purchases books on account from various distributors for a cost of $160,000. (8)During 2008: Sells books costing $140,000 to $172,800. Of the total sales, $24,600 corresponds to cash and $148,200 is on account. (9) During 2008: Returns unsold books and books ordered in error for a cost of $14,600. The company had not yet paid for these books. (10) During 2008: Collected $142,400 from sales on account. (11) During 2008: Pays employees salaries of $16,700. (12) During 2008: Pays $139,800 to book distributors of the amounts payable for purchases on account. (13) December 28, 2008: Receives customer advances of $850 due to order books special that the bookstore will order and expects to receive during 2009. (14) December 31, 2008: Record the corresponding amount of interest expense on the loan in (2) for 2008. (15) December 31, 2008: Record the corresponding amount of rental expense for 2008. (16) December 31, 2008: Record the corresponding amount of depreciation expense on the shelves in (4). (17) December 31, 2008: Record the corresponding amount of depreciation expense about computers in (5). (18) December 31, 2008: Record the corresponding amount of income tax expense. profits for 2008. The income tax rate is 40%. The taxes are paid on March 15, 2009. (1) March 15, 2009: Pays 2008 income tax. (2) June 30, 2009: Pay off the bank loan with interest. (3) July 1, 2009: Obtains a new bank loan for $75,000. He loan is payable on June 30, 2010, with 8% interest payable to the expiration. (4) July 1, 2009: Receives security deposits from book distributors. (5) July 1, 2009: Pay the rent corresponding to the period from July 1 2009 to June 30, 2010. (6) During 2009: Purchase books on account for a cost of $310,000. (7)During 2009: Sold books for a cost of $286,400 for $353,700. Of the total sales, $24,900 corresponds to cash, $850 corresponds to special orders received during December of 2008 and $327,950 are on account. (8) During 2009: Returns unsold books at a cost of $22,700. The company has not yet I had paid for these books. (9) During 2009: Collects $320,600 from sales to accounts. (10) During 2009: Pays employees compensation of $29,400. (11) During 2009: pays $281,100 to book distributors for book purchases from account. (12) December 31, 2009: Declares and pays a dividend of $4,000.
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