Answer:
You can tell if a table is linear by looking at how X and Y change. If, as X increases by 1, Y increases by a constant rate, then a table is linear.
Y=mx+b
-b -b
--------------
-by= mx
-------------
m m
-by
------
m
F(x) = 3x+1
G(x) = X^2 - 6
F(G(x)) = F(X^2 - 6) = 3(X^2 - 6) + 1 = 3X^2 - 18 + 1 = 3X^2 -17
F(G(x)) = 3X^2 - 17
Simple Interest:
I = P x r x t
I = 8000 x 0.15 x 2
I = 2400
Compound Interest:
A = P(e^rt)
where e is the Euclid’s constant
and A is the total amount with interest
A = 8000(e^0.15(2))
A = 10799 (rounded up)
Therefore compound interest is 2799.
The difference:
compound - simple = 2799 - 2400
Answer is rs 399.
