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:
y = -1x - 6
Step-by-step explanation:
Hi!
The format of the equation of a line is y = mx + b
m is the slope and b is the y-intercept
We just need to substitute in the values you gave for the variables and we get the answer,
1euro = 1.3687 USD
So 150 Euros = 150*1.3687 USD
=<span>205.305 USD
So he spent $205.305 USD on his trip.
He started off with $250 so to find the amount left we just take
250 - 205.305
= $44.695
Or 44 dollars and 69.5 cents. It's a weirdly exact amount, sure, but the question had a very precise exchange rate, so we'll assume this is fine. </span>
Answer:
The Answer is C
Step-by-step explanation:
3x-4y=5
2x+4y=-3
This equation is the answer to this problem because just by looking at it, you can immediately cancel out the y value and solve for x.
The other equations are wrong because their is extra work needed to eliminate the values.