In all problems involving days, a 360 -day year is assumed. When annual rates are requested as an answer, express, express the rate as a percentage, correct to three decimal places, unless directed otherwise. Round dollar amounts to the nearest cent. A loan of $ 4 , 000 was repaid at the end of 10 months with a check for $ 4 , 270 . What annual rate of interest was charged?
In all problems involving days, a 360 -day year is assumed. When annual rates are requested as an answer, express, express the rate as a percentage, correct to three decimal places, unless directed otherwise. Round dollar amounts to the nearest cent. A loan of $ 4 , 000 was repaid at the end of 10 months with a check for $ 4 , 270 . What annual rate of interest was charged?
Solution Summary: The author calculates the annual rate of interest charged when a loan of 4,000 was repaid at the end — the amount is denoted by A.
In all problems involving days, a
360
-day year is assumed. When annual rates are requested as an answer, express, express the rate as a percentage, correct to three decimal places, unless directed otherwise. Round dollar amounts to the nearest cent.
A loan of
$
4
,
000
was repaid at the end of
10
months with a check for
$
4
,
270
. What annual rate of interest was charged?
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
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