For services rendered, an attorney accepts a 90-day note for $ 5 , 500 at 8 % simple interest from a client. (Both interest and principal are repaid at the end of 90 days.) Wishing to use her money sooner, the attorney sells the note to a third party for $ 5 , 560 after 30 days. What annual interest rate will the third party receive for the investment?
For services rendered, an attorney accepts a 90-day note for $ 5 , 500 at 8 % simple interest from a client. (Both interest and principal are repaid at the end of 90 days.) Wishing to use her money sooner, the attorney sells the note to a third party for $ 5 , 560 after 30 days. What annual interest rate will the third party receive for the investment?
For services rendered, an attorney accepts a 90-day note for
$
5
,
500
at
8
%
simple interest from a client. (Both interest and principal are repaid at the end of
90
days.) Wishing to use her money sooner, the attorney sells the note to a third party for
$
5
,
560
after
30
days. What annual interest rate will the third party receive for the investment?
Refer to page 100 for problems on graph theory and linear algebra.
Instructions:
•
Analyze the adjacency matrix of a given graph to find its eigenvalues and eigenvectors.
• Interpret the eigenvalues in the context of graph properties like connectivity or clustering.
Discuss applications of spectral graph theory in network analysis.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]
Refer to page 110 for problems on optimization.
Instructions:
Given a loss function, analyze its critical points to identify minima and maxima.
• Discuss the role of gradient descent in finding the optimal solution.
.
Compare convex and non-convex functions and their implications for optimization.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Hazb9tC440 AZF/view?usp=sharing]
Refer to page 140 for problems on infinite sets.
Instructions:
• Compare the cardinalities of given sets and classify them as finite, countable, or uncountable.
•
Prove or disprove the equivalence of two sets using bijections.
• Discuss the implications of Cantor's theorem on real-world computation.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]
College Algebra with Modeling & Visualization (5th Edition)
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