For services rendered, an attorney accepts a 90-day note for $ 5 , 500 at 8 % simple interest from a client. (Both interest and principal are repaid at the end of 90 days.) Wishing to use her money sooner, the attorney sells the note to a third party for $ 5 , 560 after 30 days. What annual interest rate will the third party receive for the investment?
For services rendered, an attorney accepts a 90-day note for $ 5 , 500 at 8 % simple interest from a client. (Both interest and principal are repaid at the end of 90 days.) Wishing to use her money sooner, the attorney sells the note to a third party for $ 5 , 560 after 30 days. What annual interest rate will the third party receive for the investment?
For services rendered, an attorney accepts a 90-day note for
$
5
,
500
at
8
%
simple interest from a client. (Both interest and principal are repaid at the end of
90
days.) Wishing to use her money sooner, the attorney sells the note to a third party for
$
5
,
560
after
30
days. What annual interest rate will the third party receive for the investment?
EXAMPLE 3
Find
S
X
√√2-2x2
dx.
SOLUTION Let u = 2 - 2x². Then du =
Χ
dx =
2- 2x²
=
信
du
dx, so x dx =
du and
u-1/2 du
(2√u) + C
+ C (in terms of x).
Let g(z) =
z-i
z+i'
(a) Evaluate g(i) and g(1).
(b) Evaluate the limits
lim g(z), and lim g(z).
2-12
(c) Find the image of the real axis under g.
(d) Find the image of the upper half plane {z: Iz > 0} under the function g.
k
(i) Evaluate
k=7
k=0
[Hint: geometric series + De Moivre]
(ii) Find an upper bound for the expression
1
+2x+2
where z lies on the circle || z|| = R with R > 10. [Hint: Use Cauchy-Schwarz]
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
College Algebra with Modeling & Visualization (5th Edition)
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