(a) List three pairs of trigonometric functions of O and ß that are cofunctions of each other. How are the angles 0 and § related? Question solved general 11 months ago 799
Given Cos tata =K Find the value of sec tata in terms of K. Explain briefly Question solved general 11 months ago 496
An artisan makes and sells necklaces on the beach during the summer. The material for each necklace costs him $200 and he has been selling approximately 20 necklaces a day for $600 each. Now you've been wondering whether or not you should raise the price, so you do a survey and discover that for every $50 increase in price you'll lose two sales a day. What price should you set for the necklaces in order to maximize daily profits? Question solved general 11 months ago 2862
Eastpac Bank charges 18% p.a. compounding daily, on its personal loans. Southpac Bank charges 18.50% p.a. compounded semi-annually. As a potential borrower, which bank do you prefer? Question solved general 11 months ago 953
mr. wiley invested $5000 in three different accounts at the beginning of last year, yielding him a total of $182.50 of interest at the end of the year. the three accounts were a simple savings account earning 1%, a total certificate of deposit earning 3.5%, and municipal bonds earning 4.3%. his municipal bond investment was 5 times the amount of money invested in the simple savings account. how much did he invest in each account? Question solved general 11 months ago 2003
Write an equation of the line in slope-intercept form that has a slope of -3 through the point (7,-1) Question solved general 11 months ago 1679
Inside a cylindrical container of radius 3 cm and height 10 cm, a cone with the same base and height is introduced, as shown in the figure. How many cm3 of water can fit in the container after introducing the cone? (Consider tt=3) Question solved general 11 months ago 672
“Show step by step the solution to the following problem. Paula bought a refrigerator for 1,350.00 and will pay the bill in 6 installments of equal amounts. What will be the value of each installment?” Question solved general 11 months ago 1759
In a school, the average age of students in a class is 14 years old. Knowing that the class is made up of 24 students and that the average age of the boys is 15 years old, what is the average age of the girls? Question solved general 11 months ago 1507
The utility function of a firm is given by U(q) = -q2 + 80q + 25,300 (dollars). Determine the maximum utility. Question solved general 11 months ago 215
Two angles are supplementary if the sum of their measures is 180°. Find the two supplementary angles if the smaller angle is 30° less than half the larger angle. Question solved general 11 months ago 2809
A small random sample of 12 agile loans given over a month to members of a savings and loan cooperative produced the following values in dollars: 240; 228; 110; 140; 200; 150; 90; 180; 120; 80; 160; 75. How much size of the sample would be reduced if it were known that there are 980 members and all of them are potential borrowers. Question solved general 11 months ago 834
When I was 4 my sister was twice my age .Now am 20.How old is my working.Explain and show working Question solved general 11 months ago 2474
Erin’s 7 year old car is currently valued at $15610 and when it was 3 years old it was valued at $33690. Calculate constant rate of depreciation as a percentage Question solved general 11 months ago 391
Stoaches are fictional creatures, brought back from extinction using ancient genetic material preserved in amber. Stoach weights are normally distributed, with mean 1577g and standard deviation 172g. State the probability that a randomly selected stoach weighs more than 1793g. (Report the probabilities using at least 4 decimal places.) Question solved general 11 months ago 720
Two of the three trig values can never be larger than 1. Which two are they? Explain how you know? Question solved general 11 months ago 993
A Hotel Company located in the south of the country, signed at Banco La Costeña, on March 24, 2023, two promissory notes and a bill of exchange for the following amounts: Q.300,000.00; Q.250,000.00 and Q.150,000.00, the expiration dates being October 28, 2023, December 15, 2023 and March 30, 2024 in the order of the documents. For the first promissory note it recognizes the interest rate of 4% every four months of exact simple interest and for the second promissory note the rate of 3% ordinary simple interest. The company will pay the three documents in a single payment on August 30, 2023, recognizing the rate of 3 3/4% ordinary simple quarterly interest. How much is the value of the single payment that the Hotel Company must make? Question solved general 11 months ago 2216
A coin purse contains $0.25 coins in a number equal to 4 times the number of $0.1 coins, and contains $1.00 coins in a number equal to 3 times the number of half $0.50 coins. If a coin is chosen at random, find the probability that its value is at least $0.50. Question solved general 11 months ago 396
Find the x-intercepts of the quadratic equation x²+9x+20=0 Select one: a. x=4 x 6 b. x=9 x=1 c. x=-4x=-5 d. x=10 x=2 Question solved general 11 months ago 244
Depreciation needs to be calculated on the truck for one month and the expense recorded. Depreciation recognized the usage of the truck. To calculate this amount you will take the cost of the truck divided by four years and then divided by 12 months to come up with depreciation for one month. The value purchased for the truck was $14250 Question solved general 11 months ago 419