Step-by-step explanation:
The formula for compound interest is
P = I (1 + r/n)^nt
where
P: the total amount of money in the account after a certain amount of time
I: the principal amount
r: the interest rate as a decimal
n: the number of times a year interest is compounded
t: the number of years passed
For Patrick:
P = 200 (1 + 0.02/12)^12*8
P = 200 (1 + 0.00166667)^96
P = 200 (1.00166667)^96
P = 200 * 1.00166667^96
P = $234.67
For Brooklyn:
P = 200 (1 + 0.04/4)^4*8
P = 200 (1 + 0.01)^32
P = 200 (1.01)^32
P = 200 * 1.01^32
P = $274.99
After 8 years, Patrick has $234.67 and Brooklyn has $274.99
Answer:
(b) a perfect cube
Explination:
It is a perfect cube of 5
The quadratic formula is ![\frac{-b+-\sqrt[2]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-b%2B-%5Csqrt%5B2%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
and in the equation ax^2+bx+c=0
so now all you have to do is substitute the numbers into the quadratic formula
