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An electronics firm produces two models of pocket calculators: the A-100 (A), which is an inexpensive four-function calculator, and the B-200 (B), which also features square root and percent functions. Each model uses one (the same) circuit board, of which there are only 2,500 available for this week's production. Also, the company has allocated a maximum of 800 hours of assembly time this week for producing these calculators, of which the A-100 requires 15 minutes (.25 hours) each, and the B-200 requires 30 minutes (.5 hours) each to produce. The firm forecasts that it could sell a maximum of 4,000 A-100's this week and a maximum of 1,000 B-200's. Profits for the A-100 are $1.00 each, and profits for the B-200 are $4.00 each. What are optimal weekly profits?
If the volume of the smaller rectangular box is 8 in3, what is the volume of the larger rectangular box?
A fitness ball is delivered in a flat package witha hand pump. The pump inflates the ball at a rate of 280 cmcubed per pump, to a diameter of 28cm. How many pumps are needed to inflate the ball? Please explain how you got it.
A rancher has 1200m of fencing to enclose 2 rectangular corrals. The corrals have the same dimensions and one side in common. What dimensions will maximize the enclosed area?
find the distance closest to the detection tower horizontal to directly below the aeroplane to the nearest kilometre, if you could explain How to find the equation for the detection tower.
Apply an ANOVA with alpha
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
Show that the binary expansion of a positive integer can be obtained from its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.
Find a quadratic function that models the data shown as a function of x, the number of weeks.
A 25-year, zero coupon bond was recently quoted at 12.500. Find the current yield and yield to maturity of this issue, given the bond has a par value of $1,000. (assume annual compounding for the yield-to-maturity measure)
a rancher wants to enlarge an existing rectangular corral such that the total area of the new corral is 1.5 times that of the original corral. the current corral's dimensions are 250 feet by 160 feet. The rancher wants to increase each dimension b..
What is the probability that those three segments can form a triangle? Probability of Forming a Channel
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