Angle B is 50 degrees, subtract 40 degrees from 90 because complementary means a total of 90
Answer:
The sum of next 8 terms is 292,968
Step-by-step explanation:
Here, the sequence is 3, 15, 75 , ...
Since the given term is in geometric progression, so
![r = \frac{a_2}{a_1} = \frac{a_3}{a_2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_2%7D%7Ba_1%7D%20%20%20%3D%20%5Cfrac%7Ba_3%7D%7Ba_2%7D)
And here, r = 15/ 3 = 5
So, a = 3
r = 5
n = 8
So, sum of n terms of G. P ![S_n= \frac{a(r^{n} -1)}{(r-1)}](https://tex.z-dn.net/?f=S_n%3D%20%5Cfrac%7Ba%28r%5E%7Bn%7D%20-1%29%7D%7B%28r-1%29%7D)
or, ![S_8= \frac{3(5^{8} -1)}{(5-1)}](https://tex.z-dn.net/?f=S_8%3D%20%5Cfrac%7B3%285%5E%7B8%7D%20-1%29%7D%7B%285-1%29%7D)
= 292,968
Hence, the sum of next 8 terms is 292,968.
Answer:
The slope is -2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= (10-14)/(2-0)
= -4/2
= -2
The slope is -2
100% - 70% = 30% or .30
$150 / .30 = $500
The original price of the golf clubs was $500