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A simply supported wood beam AB with span length L= 3.5 m carries a uniform load of intensity q = 6.4 kN/m as shown in the figure. Calculate the maximum bending stress due to the load q if the beam has a rectangular cross section with width b =140 mm and height h = 240 mm.

Noah and his wife want to save $200,000.00. 

 Using the present value of a periodic deposit, how much should they deposit bi-weekly into an account that pays 5.4% interest, compounded bi-weekly, to meet their goal of $200,000.00 in 22 years?

Antonio and his wife open a savings account that has a 4.25% annual interest rate, compounded quarterly.  They deposit $1500 into the account each quarter. 

How much will be in their account after 22 years?

Consider an Alberta consumer whose utility function is U (X; Y) = 3X1/3Y2/3
This consumer receives income R = $300. Prices of goods are for Px = 5, and Py = 20
Questions :
1. Deduce the demands for good X and good Y

2. If Px = 3 how does the quantity demanded of good X change?

Substitution effect in the sense of Slutsky and income effect:
has. What would be the new income if it were to change at the same time as the price of Px = 5, and Py = 20

b. What would then be his demand for good X with this new income?

c How much is the substitution effect and the income effect?

PMT ≈ 200,000 / (0.111334/0.0020769) ≈ 200,000 / 53.657 ≈ $3,729.91

So, Noah and his wife should deposit approximately $3,729.91 bi-weekly into the account to save $200,000 in 22 years with a 5.4% interest rate compounded bi-weekly.

How is this answer correct?

$3729.91 x 26 (1 year) = 96,977.66

26 (per year) x 22(years to save)  = 572 total bi-weekly periods for 22 years

3729.91 x 572 = 2,133,508.52

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