Answer:
See Below.
Step-by-step explanation:
We have the equation:

And we want to show that:

Instead of differentiating directly, we can first square both sides:

We can find the first derivative through implicit differentiation:

Hence:

And we can find the second derivative by using the quotient rule:

Substitute:

Simplify:

Combine fractions:

Simplify:

Simplify:

Q.E.D.
To solve for time taken we use the compound formula:
A=P(1+r/100*n)^(n*t)
where:
A=future value
P=principle
r=rate
t=time
n=number of terms
6265=4000(1+7.5/(12*100))^(12t)
solving for t we get
1.56625=1.00625^12t
12t=72.0136
t=6.00 years
Answer: 6 years
Answer:
3:2
Step-by-step explanation:
2 boys for every 3 girls
Surface area is the total area of the surface. A cube has 6 surface, and each surface is the same. Each surface is a 11 by 11 square. Therefore there will be 6 11in. x 11in. surfaces. The math would be 11x11x6 =726.