Question

(8 pts) 1. What payment must I invest at the end of each quarter into an account paying 2.3%/year interest compounded quarterly, if I will need $10,000 in five years? (9 pts) 2. Solve using the modified Gauss-Jordan method, as presented in class 2x+3y + 5z = 2 4x + y - 2=4 2x+y = 3

Answer 1

solution! I consider the above given that F = $ 10000 N = 2:3 =0.023 year n = 485: 20 r=0.023 0 .00575 4 quartely EVA Pl (14) 10000 p (1+0.00545)20-1 p 0.00575 p = loooo 211311 $ 473-23 34 y given that 2x+39 +5 2=2 4x+y=2=4 2xf9 by sing Gauss-jordan . Method written in Matrize form = 3

3 kes 2 2 -) 4 3 1 N R, → Re-2R R; → Ry - R 2 2 3. S 2 -5 -11 6 -2 R₂5 5 R₃ -2 R₂ 2 3 2 -5 -11 3 S ; 2x +39 +52=2 -59 -11 Z= 32=5 =) z=5% -5Y-($:') = 0 y = - 1/3 V

2t 3 + s | 등 ) -20 () 21 - 6 전 ㅔ+25 3 || -25 3 - 2 x=4 3=3=% 2 - 13
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