Answer:
$9891.23
Step-by-step explanation:
The formula for future value of annuity due is:
![FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)](https://tex.z-dn.net/?f=FV%3DP%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%2A%281%2Br%29)
Where,
- FV is the future value of the annuity (what we need to find)
- P is the periodic payment (here it is $400)
- r is the interest rate per period (here 13% yearly interest is actually
percent per period(quarter)) - n is the number of periods (here the annuity is for
years, which is 
periods, since quarterly and there are 4 quarters in 1 year)
Substituting all those values in the equation we get:
![FV=400[\frac{(1+0.0325)^{18}-1}{0.0325}]*(1+0.0325)\\=400[23.9497]*(1.0325)\\=9891.23](https://tex.z-dn.net/?f=FV%3D400%5B%5Cfrac%7B%281%2B0.0325%29%5E%7B18%7D-1%7D%7B0.0325%7D%5D%2A%281%2B0.0325%29%5C%5C%3D400%5B23.9497%5D%2A%281.0325%29%5C%5C%3D9891.23)
Hence, the future value of the annuity due is $9891.23
Answer:
No solutions
Step-by-step explanation:
8x - 10 = 3(2x + 5) + 2x
8x - 10 = 6x + 10 + 2x
8x - 10 = 8x + 10
Um not fully confident which is funny because imma freshman but i believe you combined all the like terms to get “180 = 23x - 188” and it equals 180 in the end because it’s a straight line so anyways once you solve the problem you should get 16 i believe and if you’re confused just feel free to ask me and i hope i wasn’t too late to answer it
Answer:
35cm
Step-by-step explanation:
The net of a regular pentagon has 10 sides.
Since each of the faces are equilateral triangles, the side lengths are equal.
Therefore:
Length of each side of the net = 70/10 =7cm
Therefore, the base is a regular pentagon of side length 7cm.
The perimeter of the base of the pyramid = 5 X 7
=35cm
The perimeter of the base of the pyramid is 35cm.
