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Jodie bicycles 7km/h faster than Robert. In the same time it takes Robert to bicycle 51 km, Jodie can bicycle 72 km. how fast does each bicyclist travel?
Zoe purchased a house in 1999 for $192,000. In 2006 she sold the house and made a net profit of $50,000. Find the effective annual rate of return on her investment over the 7-yr period. (Round your answer to the nearest hundredth of a percentage p..
Find the volume of the solid obtained by rotating the region under the graph of the function f(x)=4x-x^2 about the x-axis over the interval [0,4].
Show that for n less than or equal to 4, any Latin square of order n can be obtained from the multiplication table of a group by permuting rows, columns, and symbols.
Design a mathematical model for solving this problem and use any gradient method to ?nd an approximation to the solution of the system (either perform 3 iterations manually or use a Matlab/Mathematica program). Hint: minimise the distance between ..
Amanda Thomas buys a house for $206,400 with a down payment of 20% of the price. If she takes out a 30-year mortgage at 6% compounded monthly, how much is her monthly mortgage payment?
Find the percentage of customers spent less than $20
Indicate, by checking the appropriate box, whether the given points below are on line 1 , on line 2 , on both line 1 and line 2 , or on neither one of the two lines:
Jorge purchased municipal bonds which yield 6% annually and certificates of deposit which yield 8% annually. If Jorge's initial investments amount to $11,000 and the annual income is $720, how much money is invested in bonds?
Find an equation of the plane that passes through the line of intersection of the planes x + y - z = 2 and 2x - y + 3z = 1 and passes through the point (-1,2,1).
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book.
A furniture factory needs 32.5 ft2 of fabric to upholster on a chair. Its Dutch supplier sends the fabric in bolts of exactly 200 m2. What is the maximum number of chairs that can be upholstered by 3 bolts of fabric (1 m = 3.281 ft)?
Mr. Smith invested $48,000, part at 6% interest and the remainder at 10%. He received $4000 in interest after one year. How much was invested at each rate?
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