For a geometric sequence with common ratio
, we have
that is, the
-th term in the sequence is the product of the previous term and the common ratio
. So
Then the sum of the first 7 terms is
Notice that
so we can subtract this modified sum from
to get
We're told that
and
, so the sum of the first 7 terms is
Step-by-step explanation:
A. part 1: $1.49 for 6 pencils
1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)
part 2: $4.60 for 20 pencils
1 pencil would cost $4.60 / 20 = $0.23
best value: part 2 (20pencil pack)
If you wish to explore more into mathematics you can give me a follow on Instagram (learntionary) I'll be regularly posting notes and tips for mathematics
Answer:
y = -3/4(x+4)
Step-by-step explanation:
The point slope formula is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y-0 = -3/4(x - -4)
y = -3/4(x+4)
Answer:
Step-by-step explanation:
If the company wants to just break even, that means that the cost to produce 150 guitars is equal to the price they charge to make a 0 profit. The cost of 150 guitars is
C(150) = 100(150) + 56000 and
C(150) = 71000. That's how much it costs to produce 150 guitars. If they want to make nothing at all, they have to sell the 150 guitars for
p(x) = 71000/150 so
p(x) = 473.33 or 474
Step-by-step explanation:
The average speed is distance over time.
34 mi / 0.5 hr = 68 mph
Therefore, the driver must have been speeding at some point between the two toll booths.
