Find the product.4(a + b)
A. 4ab
B. 4a + 4b
C. 4a + b
D. 8ab
Answer: B
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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges. +
+
+ ... +
+ ...
A. ; 4
B. ; 4
C. ; 4
D. ; 4
Find a formula for the capital value of a perpetuity involving payments of P dollars paid at the end of each investment period into a fund that earns interest at the annual rate of k% compounded continuously.
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Hint: If we are given a perpetuity involving payments of P dollars each, paid at the end of each of m periods per year into a fund that earns interest at the nominal rate of k% per year compounded m times a year, the following holds:
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The present value of the nth payment is
?
?
The capital value is
?
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Using the fact that the above series is a geometric series, its sum is
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What will be an ideal response?
The graph of a logarithmic function is shown. Select the function which matches the graph.
A. y = log(1 - x) B. y = log x - 1 C. y = 1 - log x D. y = log(x - 1)
Perform the indicated operations.-2 + 10 - (-14) + (-5)
A. 27 B. 7 C. 17 D. -3