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to pay for their child's college education, the parents invested $10,000, part in a certificate of deposit paying 8.5% annual interest, the rest in a mutual fund paying 7% annual interest. the annual income from the certificate of deposit is $200 more than the annual income from the mutual fund. how much money was put into each fund?
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
Evaluate the double integral over sigma of (F*n dS) in the following cases, Use Gauss' Theorem and/or symmetry whenever convenient.
The interest from the first investment was 4 times the interest from the second. Find the amount of the three parts of the investment.
Small boxes of NutraFlakes cereal arelabeled "net weight 10 ounces." Each hour ,random samples of size n=4 boxes are weighed to check process control. five hours of observations yielded the following:
An auto manufacturer has 3 different subcompact cars in the line. Customers selecting one of these cars have a choice of 3 engine sizes, 4 body styles, and 3 color schemes. How many different selections can a customer make?
determin the annual rate for a car loan from a bank.reduce this rate by 1%.this is r
A 36.3 kg child starting from rest slides down a water slide with a vertical height of 20.8 m. (Neglect friction.)
Find the derivative of the function by using quotient rule.
Real Life Scenarios- Systems of Linear Equations, Determine a simple real-life example scenario to solve systems of linear equations
where t is the number of years since 2004. The population of Mexico in 2008 was 109,955,400. What percentage of the Mexican population used the Internet in 2008?
A particle has position function r(t). If r'(t)=c x r(t), where c is a constant vector, describe the path of the particle.
What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?
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