Answer:
in triangle ACD and BCE
AC = EC
angle ACD = angle ECB ( COMMON ANGLE).
CB = CD
BY side and side criteria
triangle ACD is congruent to triangle BCE
so angle a is congruent to angle E
hence, proved
(a) Net present value of machine
Pm=-C+V/(1+i)^n=37000-1000/1.08^4
=-36264.97
=-36265 (rounded to nearest dollar)
Cost of machine amortized over 4 years (annualized cost)
Ac=Pm(A/P,i,n)=-36264.97(A/P,0.08,4)=-36264.97(.08*(1.08^4)/(1.08^4-1)
=-10949.15
Expected year-end cash flow = annualized return - annualized cost =>
12000=return - 10949.15
(b) Internal rate of return of machine
=return/cost - 1
=(12000-(-10949.15)/10949.15-1
=2.096-1
=1.096
=109.6%
The answer is C.(<span>Nigeria would become more economically unstable.)
</span>
Answer:
£103
Step-by-step explanation:
He wants the least waste possible.
So if he buys a 180 cm piece he can make 3*65 cms pieces, with only 6 cm waste.
Now he needs wood for 2*65 and 2*110 pieces which is a total length of
340 cms. That would require 1 * 150 pieces for the 65 cms and 2 for the 110 cm pieces. Total 3 * 150 cm pieces.
Answer is 1 * 180 and 3*150 pieces.
Total cost 28 + 3*25 = 103.
