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 $ 10 , 000 was repaid at the end of 6 months. What amount (principal and interest) was repaid, if a 6.5 % 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 $ 10 , 000 was repaid at the end of 6 months. What amount (principal and interest) was repaid, if a 6.5 % 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
$
10
,
000
was repaid at the end of
6
months. What amount (principal and interest) was repaid, if a
6.5
%
annual rate of interest was charged?
Calculate gross pay for each employee. All are paid overtime wage rates that are 1.5 times their respective regular wage rates. should be rounded to two decimal places at each calculation.
Taylor Series Approximation Example- H.W
More terms used implies better approximation
f(x) 4
f(x)
Zero order
f(x + 1) = f(x;)
First order
f(x; + 1) = f(x;) + f'(x;)h
1.0
Second order
0.5
True
f(x + 1) =
f(x) + f'(x)h +
ƒ"(x;)
h2
2!
f(x+1)
0
x; = 0
x+1 = 1
x
h
f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2
51
Taylor Series Approximation H.w:
Smaller step size implies smaller error
Errors
f(x) +
f(x,)
Zero order
f(x,+ 1) = f(x)
First order
1.0
0.5
Reduced step size
Second order
True
f(x + 1) = f(x) + f'(x)h
f(x; + 1) = f(x) + f'(x)h + "(xi) h2
f(x,+1)
O
x₁ = 0
x+1=1
Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5
iterations (or & s= 5%) for
f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2
52
Calculate gross pay for each employee. All are paid overtime wage rates that are 1.5 times their respective regular wage rates. should be rounded to two decimal places at each calculation.
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
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