Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m =
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = =
=
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = , then
=
( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer:
$3644675.9
Step-by-step explanation:
The initial investment is $100000. The interest rate is 12%.
We are asked to determine the final amount the investment will become after 30 years if the interest is compounded weekly.
The weekly interest rate is %.
Assuming 1 year equivalent to 52 weeks.
Hence, using the formula of compound interest the final sum will be
= $3644675.9 (Approximate)