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).
1
Simplify \frac{1}{2}\imath n(x+3)21ın(x+3) to \frac{\imath n(x+3)}{2}2ın(x+3)
\frac{\imath n(x+3)}{2}-\imath nx=02ın(x+3)−ınx=0
2
Add \imath nxınx to both sides
\frac{\imath n(x+3)}{2}=\imath nx2ın(x+3)=ınx
3
Multiply both sides by 22
\imath n(x+3)=\imath nx\times 2ın(x+3)=ınx×2
4
Regroup terms
\imath n(x+3)=nx\times 2\imathın(x+3)=nx×2ı
5
Cancel \imathı on both sides
n(x+3)=nx\times 2n(x+3)=nx×2
6
Divide both sides by nn
x+3=\frac{nx\times 2}{n}x+3=nnx×2
7
Subtract 33 from both sides
x=\frac{nx\times 2}{n}-3x=nnx×2−3
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
Answer:
14m-1g
Step-by-step explanation:
add 11 and 3 because they both share the variable M and than do 5-6 because they both share the variable G
