Problem 3
1. Find the values of (379) and (4725). 2. Prove that for any m > 2, (m) is even. 3. Prove that if (371) - 36(n) then 3|n. Hint: Try proving the contrapositive. 4. Suppose that a =b (mod m), a = b (mod n), and ged(m, n) = 1. Prove that a = b (mod mn). 5. Use Euler's Theorem and the method of successive squaring to find 56820 (mod 2444). That is, find the canonical residue...
Problem 5
1. Find the values of (379) and (4725). 2. Prove that for any m > 2, (m) is even. 3. Prove that if (371) - 36(n) then 3|n. Hint: Try proving the contrapositive. 4. Suppose that a =b (mod m), a = b (mod n), and ged(m, n) = 1. Prove that a = b (mod mn). 5. Use Euler's Theorem and the method of successive squaring to find 56820 (mod 2444). That is, find the canonical residue...
Consider the regression of salaries (Y) on tuition fees paid
(X). Following information was obtained for a sample of 22
colleges. Both X and Y are measured in $'000.
Cov(x,y)=84;?yi=1386;?xi=748;?(xi?x¯)2=2205;?(yi?y¯)2=4725;?(yhat?y¯)2=3591
Estimate the model Y=a+bX
2. Find the value of a.
? yi = 1386 ; ? xi = 748 ; ? (zi-?2 = 2205 ; ? (Vi-y)2 = 4725 ; Cov (z, y) 84 ; ? (yhat-V)2-3591
2. Consider the Fibonacci sequence {rn} given by x1 = 1, 22 = 1 and Xn = In-1 + In-2 for n > 3. Using Principle of Mathematical Induction show that for any n >1, *-=[(4725)* =(4,799"]
find the overhead costs applied
The following information is from the materials requisitions and time tickets for Job 9-1005 completed by Great Bay Boats. The requisitions are identified by code numbers starting with the letter Q, and the time tickets start with W. At the start of the year, management estimated that overhead cost would equal 110% of direct labor cost for each job. Date 7/1 7/1 7/5 7/5 7/10 Document Amount Q-4698 $1,550 W-3393 900 Q-4725 1,300 W-3479 750...
Amy owns a perpetual bond with yearly payments of $4725. The discount rate for this bond is 0.071. What is a fair price for Amy's bond?
- Find all 2 x 2 matrices Find all 2 × 2 matrices . Find all 2 x 2 matrices Lc Spa :/sor(.)--pan(RD so t -span so N
- Find all 2 x 2 matrices Find all 2 × 2 matrices . Find all 2 x 2 matrices Lc Spa :/sor(.)--pan(RD so t -span so N
15) A perpetuity will pay $900 per year, starting five years after the perpetuity is purchased. What is the present value (PV) of this perpetuity on the date that it is purchased, given that the interest rate is 11%? A) S4312 B) $2695 C) $3234 D) $5390
Suppose that the luxury sales tax rate in a foreign country is 27%. A very wealthy socialite bought a diamond tiara for $175,000. How much tax does she pay? $4725 $6481 $47,250 $473 nactinn 4 nf an
Exercise on understanding the flow of Margin Let's say two speculators-one bullish and one bearish- elect to take opposite positions in March crude oil at $77 per barrel. Both maintain accounts at brokerages that allow them to trade on exchange minimum margins. Both would be required to put up the $4725 performance bond to open their positions. Traders are aware that the exchange also set $3500 as the maintenance requirement for their contracts. That means that up to $1225 ($4725-$3500)...