Answer:
Step-by-step explanation:
We want to find the equation of the line tangent to the graph of:
So, we will find the derivative of our equation first. Applying the chain rule, we acquire that:
Simplify:
We can factor out the denominator within the square root:
Simplify:
So, we can find the slope of the tangent line at <em>x</em> = 5/2. By substitution:
Evaluate:
We will also need the point at <em>x</em> = 5/2. Using our original equation, we acquire that:
So, a point is (5/2, π/6).
Finally, by using the point-slope form, we can write:
Distribute:
Isolate. Hence, our equation is:
A^2 + b^2 = c^2
16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2
sqrt 400 = c
20 = c <== the ladder is 20 ft long
Answer:
7238.2
Step-by-step explanation:
V = 
= 7238.2
G - 99 = the amount of gumballs Seema has
The investment with the bigger return is investment B.
<h3>What is simple interest and compound interest?</h3>
Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued
<h3>What is the compound interest?</h3>
The formula for calculating future value:
FV = P (1 + r)^n
- FV = Future value
- P = Present value
- R = interest rate
- N = number of years
2000 x (1.06)^12 = $4024.39
Compound interest = $4024.39 - $2000 = $2024.39
<h3>What is the simple interest? </h3>
Simple interest = principal x time x interest rate
2000 x 0.08 x 12 = $1920
To learn more about future value, please check: brainly.com/question/18760477
