Answer:
Step-by-step explanation:
To prove that 
is a multiple of 7.
Proof by induction:
Let n =1. Then we have 8-1 =7 is a multiple of 7
Thus the P(1) is true.
Let us assume that P(n) is true.
= 7l is true for some integer l
To check for P(n+1)
=LHS
=
Thus we find that this is also a multiple of 7.
If true for n, then true for n+1
Hence we find that since true for 1, we have it is true for all natural numbers.
At the 2/8 part, just use the quadratic formula. If you use it, you should get the other two zeroes:
Given:
Principal = 15,000
interest = 8.5%
term = 9 years
I = 15,000 * 8.5% * 9 years = 11,475
total amount after 9 years = 15,000 + 11,475 = 26, 475
Preterm after 2 years. wdl of 4,000. penalty is 6 months interest of 4,000
I = 4,000 * 8.5% * 6/12 = 170 amount of penalty
I = 15,000 * 8.5% * 2 years = 2,550 interest earned for 2 years
15,000 + 2,550 = 17,550
17,550 - 4,000 - 170 = 13,380 amount to be invested for another 7 years
I = 13,380 * 8.5% * 7 years = 7,961.10
total amount after 9 years with pretermination
13,380 + 7,961.10 = 21,341.10
Number of servings = 8 1/4 ÷ 3/4
= 33/4 ÷ 3/4
= 33/4 × 4/3 = 11
= 11 servings.
