Answer:
the answer is B
Step-by-step explanation:
sorry if it wrong
What shaded region? Was there supposed to be a pic?
4x + 1 = 90 degrees
4x = 89
x = 22.25
Answer:
the answer is d
Step-by-step explanation:
distributive property
8 (n - 2) = 8n - 16
Given:
Amount after three years = $10000
Rate of interest = 8.2 percent compounded monthly = 0.082
Time = 3 years
To find:
The principal value.
Solution:
Formula for amount is
![A=P\left(1+\dfrac{r}{n}\right)^{nt}](https://tex.z-dn.net/?f=A%3DP%5Cleft%281%2B%5Cdfrac%7Br%7D%7Bn%7D%5Cright%29%5E%7Bnt%7D)
where, P is principal, r is rate of interest, n is the number of times interest compounded in an year, t is number of years.
Substitute A=10000, r=0.082, n=12 and t=3 in the above formula.
![10000=P\left(1+\dfrac{0.082}{12}\right)^{12(3)}](https://tex.z-dn.net/?f=10000%3DP%5Cleft%281%2B%5Cdfrac%7B0.082%7D%7B12%7D%5Cright%29%5E%7B12%283%29%7D)
![10000=P\left(1+\dfrac{41}{6000}\right)^{36}](https://tex.z-dn.net/?f=10000%3DP%5Cleft%281%2B%5Cdfrac%7B41%7D%7B6000%7D%5Cright%29%5E%7B36%7D)
![10000=P\left(\dfrac{6041}{6000}\right)^{36}](https://tex.z-dn.net/?f=10000%3DP%5Cleft%28%5Cdfrac%7B6041%7D%7B6000%7D%5Cright%29%5E%7B36%7D)
![10000=P(1.27783)](https://tex.z-dn.net/?f=10000%3DP%281.27783%29)
Divide both sides by 1.27783.
![\dfrac{10000}{1.27783}=P](https://tex.z-dn.net/?f=%5Cdfrac%7B10000%7D%7B1.27783%7D%3DP)
![7825.76712=P](https://tex.z-dn.net/?f=7825.76712%3DP)
![P\approx 7825.767](https://tex.z-dn.net/?f=P%5Capprox%207825.767)
Therefore, today she have to deposit $7825.767.