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
Given:
There are given the statement, shape of the cross-section that is parallel to the base of the cone.
Explanation:
If the base of the cone that parallels to tye cross-section.
So,
The shape of the cross-section is
Step 1) Multiply 2 by 3
<em>5x+6 = 2x+3x+6</em>
Step 2) Combine like terms
<em>5x+6 = 5x+6</em>
Step 3) Add 5x and 6 to both sides
Answer:
<em>0 = 0</em>
1/6 bc they all have an equal chance to be all the numbers on the die and their is only 6 numbers on the die so you have 1:6 probability of it being 3