Answer:
≈1005
step by step explanation
= πr2(h)= π·82·5≈1005.30965
round -> 1005
Step-by-step explanation:
1. vertically opposite angles are the same
b = 42
360 - (42 + 42)
360 - 84 = 276
276 ÷ 2 = 138
c = 138
2. angles in a triangle sum to 180
right angles = 90
180 - (90 + 62)
180 - 152 = 28
angle S = 28
3. 1st question no, unless one angle is given a number. angles are the same vertically opposite so the other 2 angles are also vertically opposite but angle is different size but by adding the 2 different angles, make them supplementary as they sum to 180. 2nd question yes. you could have 4 right angles.
Answer:
556
Step-by-step explanation:
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