Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a
[
= 1 ] , that is
a = 4 , so
y = 4
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
= b , that is
b = 5
then exponential function is
y = 4 . 
-1 = 3(5) + b
-1 = 15 + b
-16 = b
y = 3x -16
y - 5 = 3(x +1)
The final amount of the compound interest after 6 years would be $ 294, 122, 500
<h3>How to determine the final amount</h3>
The formula for the final amount is given as;

Where
A = final amount
P = principal interest
r = interest rate
n = number of times
t = time of periods
We have,
A =

A = 
A =
× 
A =$ 
Thus, the final amount of the compound interest after 6 years would be $ 294, 122, 500
Learn more about compound interest here:
brainly.com/question/24924853
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Answer:
a. 
b. 
c. 
d. 
Step-by-step explanation:
Gradient is just another similar term for slope l,
, and it can be calculated by
where
and 1
is the
-coordinates of point 
We let
be point
and
be point
, we can then write the equation:
.
It also says that the points are with a gradient of
so
. We can then write the equation:

Finding
If
:

Writing an expression for
in terms of
.

Writing an expression for
in terms of 

Finding
if 
