Answer:

General Formulas and Concepts:
<u>Calculus</u>
Limits
Limit Rule [Variable Direct Substitution]: 
Limit Rule [Variable Direct Substitution Exponential]: 
Limit Property [Multiplied Constant]: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>

<u>Step 2: Solve</u>
- Rewrite [Limit Property - Multiplied Constant]:
![\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B1%7D%7B4%7D%5Bf%28x%29%5D%5E4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Bf%28x%29%5D%5E4)
- Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:
![\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B1%7D%7B4%7D%5Bf%28x%29%5D%5E4%20%3D%20%5Cfrac%7B1%7D%7B4%7D%284%5E4%29)
- Simplify:
![\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%20%5Cto%200%7D%20%5Cfrac%7B1%7D%7B4%7D%5Bf%28x%29%5D%5E4%20%3D%2064)
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Answer:
$9400
Step-by-step explanation:
1.5x4=6%
100-6=94
0.94x10000=9400
Well it seems if you round you would get 1.81 try it
Answer:
1) Consider that he makes $1189 every two weeks engaged with work
2) An estimate of the opportunity cost of going on the fishing trip is $1450 in two weeks
3). If he decides to buy the truck, he has to work for about 7 weeks before going on the fishing trip
Step-by-step explanation:
From the given data
Total revenue from lawn mowing per year = 35 × 4× 5×20 = $1400
Similarly total operating costs = $2110
Total profit per annum = $11890
However total revenue per every 2 weeks = $1189
To buy the truck, sell his and go on the fishing trip it will cost = 5200-1500+250 =$3950 hence he has to work for about 6.64 or approximately 7 weeks before going on the fishing trip
2) Opportunity cost will factor in the cost of having someone work for him while away
The cost is = $250 + $120/day
Hence in two weeks it will cost him $1450
3) He has to work for about 7 weeks to be able to afford the truck
There are infinity answers to this.
But, if we are talking whole numbers, there are none
59 is prime
:)