This would give you 0.027 which equals 1/36
Follow the given formula. The initial amount of money invested, P, becomes 2P (same thing as "doubles) after t years. Since compounding is quarterly, n=4. The annual interest rate is 12%. That is, r=0.12.
Then we have 2P = P (1 + 0.12/4)^(4t) and need only solve for time, t.
Simplifying the above equation: 2 = (1.03)^(4t)
We must isolate 4t, and then isolate t. To do this, take the common log of both sides of the above equation. We get:
log 2 = (4t) log 1.03. This gives us 4t = [log 2] / [log 1.03], or
4t = 23.4498
Dividing both sides by 4, we get t = 5.86 (years).
Answer:
D. 1 3/8 inches.
Step-by-step explanation:
Answer:
The center is at ( (-1, -2) and the radius is 5.
Step-by-step explanation:
X^2 + 2X + Y^2 + 4Y = 20
Complete the square on the x and y terms.
(x + 1)^2 -1 + (y + 2)^2 - 4 = 20
(x + 1)^2 + ( y + 2)^2 = 25 Comparing this with the standard form:
(x - h)^2 + (y - k)^2 = r^2
- the center is at ( (-1, -2) and thr radius is 5.