For Exercises 47-48, suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the end of the given time period. P = $6000, t = 12 yr a . 1 % interest b . 2 % interest c . 4.5 % interest
For Exercises 47-48, suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the end of the given time period. P = $6000, t = 12 yr a . 1 % interest b . 2 % interest c . 4.5 % interest
Solution Summary: The author calculates the total amount of the investment worth after a time period of t=12yr for the following interest rates with continuous compounding.
For Exercises 47-48, suppose that P dollars in principal is invested for t years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the end of the given time period.
P
=
$6000,
t
=
12
yr
a
.
1
%
interest
b
.
2
%
interest
c
.
4.5
%
interest
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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