Answer:
whats the question or is this a joke
B.
<span>$5852.86
Working;
</span><span>A = P(1 + r)^t
A=5000(1+</span>
![\frac{3.2}{100}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3.2%7D%7B100%7D%20)
)^5
A=<span>5852.86</span>
-8
Because half of 16 is eight and it’s a negative so it has to be -8
Given that we know the diameter and gather we know pipe 3.14, we can use the formula C = pi*D where d is the diameter and C is circumference of the circle. Plug in what we know for the variables and then solve.
C = 3.14*12
C = 37.68
Rounding our answer, we get 37.7, so our answer is 37.7 ft. Hope this helps
Answer:
The sum of its 30 terms is 38167.5
Step-by-step explanation:
Given:
The First term in the AP is -504
The Sum of its 9 terms is -126
To Find:
The sum of its 30 terms = ?
Solution:
The sum of n terms of an AP:
![S_n = (\frac{n}{2} ) [ 2 a_1 + ( n - 1 ) d ]](https://tex.z-dn.net/?f=S_n%20%3D%20%28%5Cfrac%7Bn%7D%7B2%7D%20%29%20%5B%202%20a_1%20%2B%20%28%20n%20-%201%20%29%20d%20%5D)
The sum of 9 terms of an AP:
![S_9 = (\frac{9 }{2} ) [ 2(-504) + ( 9 - 1 )d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%28%5Cfrac%7B9%20%7D%7B2%7D%20%29%20%5B%202%28-504%29%20%2B%20%28%209%20-%201%20%29d%20%5D)
![S_9 = (4.5 )[ 2 (-504)+ ( 8 ) d ]](https://tex.z-dn.net/?f=S_9%20%3D%20%284.5%20%29%5B%202%20%28-504%29%2B%20%28%208%20%29%20d%20%5D)
![(4.5 )(2)(-504) + (4.5) 8 d = - 126](https://tex.z-dn.net/?f=%284.5%20%29%282%29%28-504%29%20%2B%20%284.5%29%208%20d%20%3D%20-%20126)
(-4536) +36d = -126
36 d = -126+4536
36 d= 4410
![d= \frac{4410}{36}](https://tex.z-dn.net/?f=d%3D%20%5Cfrac%7B4410%7D%7B36%7D)
d = 122.5
The sum of its 30 terms is
![S_{30} = ( \frac{30 }{2 }) [ 2 (-504) + ( 30-1)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%28%20%5Cfrac%7B30%20%7D%7B2%20%7D%29%20%5B%202%20%28-504%29%20%2B%20%28%2030-1%29%28122.5%29%20%5D)
![S_{30} =(15) [ 2 (-504) + ( 29)(122.5) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%2815%29%20%5B%202%20%28-504%29%20%2B%20%28%2029%29%28122.5%29%20%5D)
![S_{30} = [ 2 (-504)(15) + ( 29)(122.5)(15) ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%202%20%28-504%29%2815%29%20%2B%20%28%2029%29%28122.5%29%2815%29%20%5D)
![S_{30} = [ -15120 + 53287.5 ]](https://tex.z-dn.net/?f=S_%7B30%7D%20%3D%20%5B%20-15120%20%2B%2053287.5%20%5D)
![s_{30} = 38.167.5](https://tex.z-dn.net/?f=s_%7B30%7D%20%3D%2038.167.5)