Complete this assignment after you have finished Unit 4, and submit your work to your tutor for...

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Complete this assignment after you have finished Unit 4, and submit your work to your tutor for grading. Be certain to keep a copy of your work. This exercise is worth 8 per cent of your final grade. Remember: To obtain full credit, you must show all your work, and properly justify all your answers. Total points: 48 8 pts 1. A student knows that she will need $3,500.00 five years from now. She must decide between Bank A, which offers 7% compounded weekly, and Bank B, which offers 6% compounded continuously. Which bank should she use? Explain your answer. 6 pts 2. What is the APY for money invested at a. 18.75% compounded daily? Use a 365-day year. b. 15.25% compounded continuously? Note: This is Problem 50 on page 149 of the textbook. 4 pts 3. If you wish to double your investment in 8 years, what continuous compound interest rate must you obtain for your investment? 6 pts 4. Complete exercise 40 on page 170 of the textbook
	
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Complete this assignment after you have ?nished Unit 4, and submit your work to
your tutor for grading. Be certain to keep a copy of your work. This exercise is
worth 8 per cent of your ?nal grade.
Remember: To obtain full credit, you must show all your work, and properly
justify all your answers.
Totalpoints: 48
8pts 1. A student knows that she will need $3,500.00 ?ve years from now. She must
decide between Bank A, which offers 7% compounded weekly, and Bank B,
which offers 6% compounded continuously. Which bank should she use?
Explain your answer.
6pts 2. What is the APY for money invested at
a. 18.75% compounded daily? Use a 365-day year.
b. 15.25% compounded continuously?
Note: This is Problem 50 on page 149 of the textbook.
4pts 3. If you wish to double your investment in 8 years, what continuous compound
interest rate must you obtain for your investment?
6pts 4. Complete exercise 40 on page 170 of the textbook.
12pts 5. Find all possible matrix products of two different matrices among the three
matrices below.
2 3
2 3 2 3
 2 4 3
6 7
 1 3 4  3 2
6 7
4 5 4 5
A = B = C =
6 1  4 27
4 5
0  2 5  1 6
2 4 3
FiniteMathematics 16pts 6. Consider matricesA andB, below.
2 3 2 3
 XXXXXXXXXX
6 7 6 7
6 7 6 7
A =6 7 B =6 7
2 4  1 2 5 3
4 5 4 5
  XXXXXXXXXX
a. Show that matrixA is not invertible.
b. Find the inverse of matrixB.
6pts 7. Give the matrix equation associated with the system of equations below, and
solve it by using the corresponding inverse matrix.
2x +3x = 2
1 2
x +2x +3x = 0
1 2 3
  x  5x = 1
2 3
2 Mathematics 209 /Assignment2

David · Accepted Answer

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'6'� 0� � ��t
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Annual Percentage Yield
If a principal P is invested at the annual rate r compounded m 
times a year, then the amount after 1 year is A = P[1+ ( r/m)^m
The simple interest rate that will produce the same amount A in 
one year is called the annual percentage yield (APY).
Thus,

Complete this assignment after you have finished Unit 4, and submit your work to your tutor for grading. Be certain to keep a copy of your work. This exercise is worth 8 per cent of your final grade....

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