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Nico is saving money for his college education. He invests some money at 7%, and $1500 less than that amount at 6%. The investments produced a total of $235 interest in 1 yr. How much did he invest at each rate?
Show how to use the condition number of a matrix A to estimate the accuracy of a computed solution of Ax = b. If the entries of A and b are accurate to about r significant digits and if the condition number of A is approximately 10k
How many gallons of a 90% antifreeze solution must be mixed with 60 gallons of 15% antifreeze to get a mixture that is 80% antifreeze? Please show your work.
How long would it take the sample to decay to 10% of its original amount?
the aera of a rectangular wall in a classroom is 126 square feet. it lenght is 3 feet shorter than three times its width. find the length of the wall of the classroom.
The dimensions of a closed rectangular box are measured as 80 centimeters, 90 centimeters, and 70 centimeters, respectively, with the error in each measurement at most .2 centimeters. Use differentials to estimate the maximum error in calculating ..
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
The combined math and verbal scores for students taking a national standardized examination for college admission, is normally distributed with a mean of 880 and a standard deviation of 180. If a college requires a student to be in the top 40 % of..
a test has twenty questions worth 100 points. The test consists of True/False questions worth 3 pointS each and multiple choice questions wrth 11 points. How many multiple choice questions are on the test? Solve algebraically.
suppose you are organizing a business meeting and are in charge of facilitating the introductions. how would you
There are $560 available to build a fence around a rectangular garden. One side must be reinforced and will cost $10 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be buil..
If an object is thrown straight up into the air with an initial velocity of 128 feet per second, then its height above the ground at any time t is given by the formula h = 128t - 16t2.
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
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