# University of Manitoba Quantitative Methods of Economics Worksheet

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Quantitative Methods for Economics and Business Winter 2021 Assignment 2
Due: Thursday, Feb. 17th, 9PM
Total /15
Your assignment must be in Word or PDF format only. Your assignment may be typed or
handwritten and scanned, and then converted to the appropriate file type. Please upload your
completed assignment to the Nexus Assignment 2 folder. Click on Assessments and then
Assignments to access the folder.
1. Solve the following quadratic equations:
a) ?? 2 ? 6?? = 7 + 3??
(2 marks)
b) ?? + 10 = 11??2 ? ?? + 1
(2 marks)
2. Solve the following equations for x:
1 4
a) ( 3 ) = ?? ??
??
1 ?2??
b) 16 ? ( )
8
c) 5 = 10???4
(1 mark)
= 0 (1 mark)
(1 mark)
d) 28 = 5 + 2?? ?0.5??
(1 mark)
3. How much is a sum of \$3500 worth at the end of five years if deposited at
a) 11% per year simple interest (1 mark)
b) 11% per year compound interest (1 mark)
4. Calculate the present value of \$10,000 due in 5 years if interest is compounded annually at
4.5%. (1 mark)
5. Suppose \$5,500 is deposited at a nominal interest rate of 6% per year. Calculate the value
of the investment in 3 years time if interest is compounded
a) Semi-annually (1 mark)
b) Monthly (1 mark)
c) Daily (1 mark)
d) Continuously (1 mark)