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1- If a module is integrally closed , then so its isomorphic copy .
2- Let M be a divisible projective R-module.Then R is integrally closed.
Find the present value, using the present value formula and a calculator. (Round your answer to the nearest cent.)
Achieve $225,500 at 8.65% compounded continuously for 8 years, 155 days.
solve the following set of simultaneous equations:

(x/5) + (2y/3) - (49/15) = 0

(3x/7) - (y/2) = -(5/7)

Using:

a) Substituation

b)Elimination
(3n-1)^(2/3)=1/4
5x+y=9
10x-7y=-18

Solving systems of equations by elimination
What is the solution?
3x - 2y = 6 and 5x + 3y = -9
Write the equations in logarithmic form.
(a) 729 =(^3
(b) 64= (1/8) ^-2
(c) a=B^c
a man riding on a bicycle covers a distance of 60 km in a direction of a wind comes back to his original position in 8 hours if the speed of the wind is 10 km/hr find the speed of the cycle
kyle plans to invest $6000, part at 5% simple interest and the rest at 6% simple interest. what is the most that he can invest 5% and still be guaranteed at least $320 in interset per year ?
A polynomial f(X) has degree 8 and f(i)=2i for I =0,1,2,3,4,5,6,7,8 . Find f(9).
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