As n is in the denominator and u r bringing it to numerator the exponent gains a negative , hence answer is C
For this case we have the following function:
![S (t) = 3405.120e^{0.284t}](https://tex.z-dn.net/?f=S%20%28t%29%20%3D%203405.120e%5E%7B0.284t%7D)
By definition, the average rate of change is given by:
![Avr =\frac{S(t2) -S(t1)}{t2-t1}](https://tex.z-dn.net/?f=Avr%20%3D%5Cfrac%7BS%28t2%29%20-S%28t1%29%7D%7Bt2-t1%7D)
If t is the number of years since 2000, we have to:
For the year 2001 ![t1 = 1](https://tex.z-dn.net/?f=t1%20%3D%201)
For the year 2010 ![t2 = 10](https://tex.z-dn.net/?f=t2%20%3D%2010)
On the other hand:
![S (t2) = 3405.120e^{0.284*10}\\S (t2) = 3405.120e^{2.84}\\S (t2) = 58281](https://tex.z-dn.net/?f=S%20%28t2%29%20%3D%203405.120e%5E%7B0.284%2A10%7D%5C%5CS%20%28t2%29%20%3D%203405.120e%5E%7B2.84%7D%5C%5CS%20%28t2%29%20%3D%2058281)
While:
![S (t1) = 3405.120e^{0.284*1}\\ S (t1) = 3405.120e^{0.284}\\S (t1) = 4524](https://tex.z-dn.net/?f=S%20%28t1%29%20%3D%203405.120e%5E%7B0.284%2A1%7D%5C%5C%20S%20%28t1%29%20%3D%203405.120e%5E%7B0.284%7D%5C%5CS%20%28t1%29%20%3D%204524)
So, we have to:
![Avr =\frac{58281-4524}{10-1}](https://tex.z-dn.net/?f=Avr%20%3D%5Cfrac%7B58281-4524%7D%7B10-1%7D)
![Avr =\frac{53757}{9}\\Avr = 5973](https://tex.z-dn.net/?f=Avr%20%3D%5Cfrac%7B53757%7D%7B9%7D%5C%5CAvr%20%3D%205973)
So, the average rate of change is given by: 5973
Answer:
![Avr =5973\frac{millions-of-dollars}{year}](https://tex.z-dn.net/?f=Avr%20%3D5973%5Cfrac%7Bmillions-of-dollars%7D%7Byear%7D)
Answer: $125,000
Step-by-step explanation:
Let the starting salary be x.
To determine the starting salary, we have to add all the expenses paid together. This will be:
$1,573.83 + $2,175.56 + $1,264.95 + $1,843.25 + $4,500.00 + (20% × x) = $36,357.59
$11357.59 + 0.2x = $36,357.59
0.2x = $36,357.59 - $11357.59
0.2x = $25000
x = $25000 / 0.2
x = $125,000
The starting salary is $125,000.
Answer: 40.8cm
Step-by-step explanation:
A hexagon is a polygon that is made up of 6 sides. The perimeter of a regular hexagon is calculated by multiplying the side given by 6
Since the length of a side of a regular hexagon is 6.8 cm, the perimeter will be:
= 6 × 6.8
= 40.8cm