Answer:
k = 10
Step-by-step explanation:
The sum of k terms of a geometric sequence with first term a1 and common ratio r is given by ...
... Sk = a1·(1 -r^k)/(1 -r)
For the given numbers, this is ...
... 118096 = 78732·(1 -(1/3)^k)/(1 -1/3)
Manipulating this to get the term containing k, we have
... 1 -(2/3)(118096/78732) = (1/3)^k
... 1/59049 = (1/3)^k
Taking logarithms, we get
... -log(59049) = -k·log(3)
... log(59049)/log(3) = k = 10
Answer:
Step-by-step explanation:
First, subtract 2.04 by 30
30 - 2.04 = 27.96
Next, divide 27.96 by 4.
27.96/4 = 6.99
Each bag of candy cost $6.99
:)
Answer:
36°, 36° and 108°
Step-by-step explanation:
let the equal angles be x then the third angle = 3x
The sum of the 3 angles in a triangle = 180°, thus
x + x + 3x = 180, that is
5x = 180 ( divide both sides by 5 )
x = 36
and 3x = 3 × 36 = 108
The 3 angles are 36°, 36° and 108°
The answer is 79. it needs to be 20 characters
