For this question you need to use the formula: y=p(1+r)^t. P is the principle, or the starting amount, $10,000, r is the rate of growth or decay, and t is the number of years. y=10,000(1.05)^x
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given that
Distributive law is defined as

According to option'A', we get that
a =- 3
b = 6
c = 0.4
d = 0.08
So, it becomes,

Hence, option 'A' is correct.
Make a proportion
x = the amount of miles walked in 137.5 min
25 137.5
--- = --------
2 x
cross multiply
25x = 275
divide both sides by 25
x = 11
paul walked 11 miles in 137.5 minutes
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)