Answer:
X=5
Step-by-step explanation:
Hi there I think the answer is c hope this helps
Alright. (1/4^2)+2((1/4)(2/3)-3(2/3^2)=-.9375 is the correct answer
Answer:
![A=42000(1.04)^n](https://tex.z-dn.net/?f=A%3D42000%281.04%29%5En)
Step-by-step explanation:
This is a compound interest formula expressed as:
![A=P(1+i)^n](https://tex.z-dn.net/?f=A%3DP%281%2Bi%29%5En)
Where
is time in years
is the rate of interest
is the accumulated amount after n years
is the initial amount.
#We substitute the given values to determine amount after n years as follows:
![A=P(1+i)^n\\\\=42000(1+0.04)^n\\\\=42000(1.04)^n](https://tex.z-dn.net/?f=A%3DP%281%2Bi%29%5En%5C%5C%5C%5C%3D42000%281%2B0.04%29%5En%5C%5C%5C%5C%3D42000%281.04%29%5En)
Hence, the amount earned after n years of her career is given by ![A=42000(1.04)^n](https://tex.z-dn.net/?f=A%3D42000%281.04%29%5En)
The formula of a sum of an arithmetic sequence:
![S_n=\dfrac{a_1+a_n}{2}\cdot n](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Ba_1%2Ba_n%7D%7B2%7D%5Ccdot%20n)
We have n = 75 and
.
Calculate the first and seventy-fifth term:
![a_1=67-2(1)=67-2=65\\\\a_{75}=67-2(75)=67-150=-83](https://tex.z-dn.net/?f=a_1%3D67-2%281%29%3D67-2%3D65%5C%5C%5C%5Ca_%7B75%7D%3D67-2%2875%29%3D67-150%3D-83)
Substitute:
![S_{75}=\dfrac{65+(-83)}{2}\cdot75=\dfrac{-18}{2}\cdot75=-9\cdot75=-675](https://tex.z-dn.net/?f=S_%7B75%7D%3D%5Cdfrac%7B65%2B%28-83%29%7D%7B2%7D%5Ccdot75%3D%5Cdfrac%7B-18%7D%7B2%7D%5Ccdot75%3D-9%5Ccdot75%3D-675)
<h3>Answer: -675</h3>