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A rich uncle wants to make you a millionaire. How much money must he deposit in a trust fund paying 10% compounded quarterly at the time of your birth to yield $1,000,000 when you retire at age 55?
An orchard contains 50 peach trees with each tree yielding an average of 58 peaches. For each 4 additional trees planted, the average yield per tree decreases by 12 peaches. How many trees should be planted to maximize the total yield of the orcha..
The flux capacitor (the equipment necessary for time travel) needs 85 grams of Plutonium to have enough power to travel through time. How long can Doc Brown store his Plutonium for to have enough to time travel.
Find the mean, median, and range for each of the two data sets.
A fish tank is 1 yd long, 1.5 ft high, and 15 in wide. Determine the volume of water in the fish tank in cubic feet.Determine the weight of the water in pounds. One cubic foot of water weighs about 62.5 pounds.
Draw an acute scalene triangle. Label the vertices A, B,C on the interior of each angle. Construct a segment congruent to line segment AC. Label the endpoints D and E.
Prove the deg_2(f) is well defined by direct application of the Boundary Theorem. Note f is a smooth map of a compact manifold X into a connected manifold Y and dim X = dim Y. (Hint: if y_0, and y_1 in Y, alter f homotopically to get f travers..
Two earthquakes differ by .1 when measured on the Richter scale. How would the seismographic readings differ at the distance of 100 km from the epicenter?
Find the width of a Norman Windown if the total area of the square and semicircle is said to be 200 ft^2.
a)Use Laplace transforms to solve the IVP: y'' + 4y = 0, y(0) = 1, y'(0) = -1 b)Find the Laplace of e^(2t)cos(3t).
Consider the following compound propositions: A = (P→Q) Λ (Q→R) B = (P→R) a)Determine whether A ≡ B. Support your answer using truth table. Give reason for your answer. b)Determine whether the above compound propositions are tautology, contradiction ..
Find a vector function that represents the curve of intersection of x2 + y2 = 4 and z =x. Find the normal plane of the curve above at the point (0,2,0).
A jazz concert brought in $166,500 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type were sold?
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