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If 10,800 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Calculate the unpaid balance on debt after 5 years of monthly payments on $160,000 @3% for 25 years.
PizzaThe probability that a customer selects a pizza with mushrooms or pepperoni is 0.43, and the probability that the customer selects only mushrooms is 0.32. If the probability that he or she selects only pepperoni is 0.17, find the probability ..
Use mathematical induction to prove that 2-2*7+2*7^2-.....+2(-7)^n=(1-(-7)^n+1)/4 whenever n is a nonnegative integer. Show that 1^3+2^2+....n^3=[n(n+1)/2]^2 whenever n is a positive integer.
Now there is a fair coin in each room. Each prisoner goes to each room and flips the coin. If the coin comes up heads, prisoner changes the state of the switch.
Note the terms: 0% interest for ? number of years, the instant dollar discount, the retail price of the vehicle, and the interest rate of the loan. Given those figures, which is the better deal and why? Support your answer with calculations.
the height of a trapezoid of constant area varies inversly as the sum of the lengths of the bases. If the height is 30 cm when the lengths of the two bases are 3 cm and 16 cm, what is the new height if the bases are 24 cm and 48 cm in length?
The price of an instazoom camera increased from $75 to $90. Find the percent of increase in price.
a kite is currently flying at an altitude of 17 meters above the ground. if the angle of elevation from the ground to the kite is 30 degrees, find the length of the kite string to the nearest meter.
Find the area, in square units, of the region determined by the intersections of y = x^1/2 and y = x^2/8.
Suppose a rectangular plot runs along a building, so that you only need to fence three sides. What dimensions will now yield a maximum area with 100 meters of fencing?
Prove the Second Isomorphism Theorem: If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S, respectively, and (S+A)/A isomorphic to A/(S intersecting A).
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
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