Sam's money will double faster.
The formula for compound interest is
A=p(1+r)ˣ, where A is the total amount in the account, p is the principal you invest, r is the interest rate as a decimal, and x is the amount of time.
If we want to represent the money being doubled, we would use 2p for A:
2p=p(1+0.09)ˣ
2p=p(1.09)ˣ
Divide both sides by p:
2p/p = p(1.09)ˣ/p
2 = 1.09ˣ
Using logarithms to solve this,
The formula for simple interest is
I = prt
If we want to find the amount of time to double the principal, this means the amount of interest would be equal to the principal invested:
p = p(0.09)t
Dividing both sides by p,
p/p = p(0.09)t/p
1 = 0.09t
Dividing both sides by 0.09,
1/0.09 = t
11.11 = t
Answer:
Step-by-step explanation:
The formula of a distance between two points:
We have two points (1, -5) and (-3, 6). substitute:
The answer is 147 because a triangles measures up to 360 degrees so u would add the two u have up and subtract that for 360 and u get 147
Answer: X=3.5y
Step by step explication:
Simplifying
3x+8y+-5x+-1y=0
The value of the expression is 19
Step-by-step explanation:
- Step 1: Find the value of 9(n + 2) - 5n when n = 1/4
⇒ 9(n + 2) - 5n = 9(1/4 + 2) - 5 × 1/4
= 9(9/4) - 5/4
= 81/4 - 5/4 = 76/4 = 19