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How much money can a person afford to borrow at 8% interest compounded semiannually if the loan is to be repaid at half-year intervals for 10 years with $1000 payments per half-year?
AnswerA. $11,409.67B. $12,387.04C. $13,590.33D. $82,421.48
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
Find the following antiderivatives for each integral
Where x is the number of years since the material was put into the vault. If 200 pounds of the material are initially put into the vault, how many pounds will be left after 90 years?
How many ATM cells (described in Example 28) can be transmitted in 10 seconds over a link operating at the following rates?
The radius of a circular disk is given as 26 cm with a maximum error in measurement of .2 cm. Use differentials to estimate the maximum possible error in the calculated area of the disk.
Estimating the value of a function using 3rd Taylor polynomial and use our error guarantee to give a Plus- or-minus error to your estimate
Probability: Working with the standard distribution curve. A company installs 5000 light bulbs, each with an average life of 500 hours and a standard deviation of 100 hours, and a distribution approximated by a normal curve
What is the probability that at least one inspector will find a defective widget?
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Estimate the relative error in the calculated surface area.
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
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