The function defined by A t = 100 e 0.0318 t approximates the equivalent amount of money needed t years after the year 2010 to equal $100 of buying power in the year 2010. The value 0.0318 is related to the average rate of inflation. a. Evaluate A 15 and interpret its meaning in the context of this problem b. Verify that by the year 2032, more than $200 will be needed to have the same buying power as $100 in 2010.
The function defined by A t = 100 e 0.0318 t approximates the equivalent amount of money needed t years after the year 2010 to equal $100 of buying power in the year 2010. The value 0.0318 is related to the average rate of inflation. a. Evaluate A 15 and interpret its meaning in the context of this problem b. Verify that by the year 2032, more than $200 will be needed to have the same buying power as $100 in 2010.
Solution Summary: The author calculates the equivalent amount of money needed after 15years if the function A(t)=100e0.0318t
The function defined by
A
t
=
100
e
0.0318
t
approximates the equivalent amount of money needed t years after the year 2010 to equal
$100
of buying power in the year 2010. The value 0.0318 is related to the average rate of inflation.
a. Evaluate
A
15
and interpret its meaning in the context of this problem
b. Verify that by the year 2032, more than
$200
will be needed to have the same buying power as
$100
in 2010.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Find the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)
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