Answer:
530.66 mm²
5.3066 cm²
Step-by-step explanation:
A = π·r²
= 3.14×(13mm)²
= 3.14×169mm²
= 530.66 mm²
= 5.3066 cm²
The second place runner had already completed 320 meters when the winner crossed the finish line
Answer:
See Explanation.
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra II</u>
- Log/Ln Property:

<u>Calculus</u>
Derivatives
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Derivative of Ln: ![\frac{d}{dx} [ln(u)] = \frac{u'}{u}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bln%28u%29%5D%20%3D%20%5Cfrac%7Bu%27%7D%7Bu%7D)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Differentiate</u>
- Rewrite:

- Rewrite [Ln Properties]:

- Differentiate [Ln/Chain Rule/Basic Power Rule]:

- Simplify:

- Rewrite:

- Combine:

- Reciprocate:

- Distribute:

Answer:
The difference in amount = $430
Step-by-step explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350
2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920
3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430
Hope this helps :)
Answer:
2.5y=amount spent on drinks
Step-by-step explanation:
If chips are $2 and drinks are $2.50 and we do not know how many he bought of each, we put this into an equation which is
2x+2.5y
x=number of bags of chips while the 2 is two dollars per bag
so, if he bought 2 bags of chips 2(2)= $4 spent.
y= number of drinks and 2.5 is $2.5 per drink, so if he bought 4 drinks:
2.5(4)= $10 spent on drinks.