Answer: Angie's profit equation is 25x−200=p
Step-by-step explanation:
Let x represent the number of lawns that Angie mows in her neighborhood.
Let p represent the profit made by mowing x lawns.
Profit = Revenue - cost
She charges $25 per lawn. This means that the amount charged for x lawns = 25×x = 25x
So her revenue is 25x
She buys a new mower for $200. Thus, the cost is $200. Therefore, Angie's profit,p is expressed as
p = 25x - 200
Answer:
The sum of the arithmetic sequence is
.
Step-by-step explanation:
A sequence is a set of numbers that are in order.
In an arithmetic sequence the difference between one term and the next is a constant. In other words, we just add the same value each time infinitely.
If the first term of an arithmetic sequence is
and the common difference is d, then the nth term of the sequence is given by:

For the sequence

The pattern is continued by adding -11 to the last number each time.
An arithmetic series is the sum of an arithmetic sequence. We find the sum by adding the first,
and last term,
, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>
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The sum of the arithmetic sequence is


Answer:
b^-6
Step-by-step explanation:
(b^-2) / (b^4) = b^(-2 - 4)
Answer:
39
Step-by-step explanation:
Formula for the nth term (an) = a1 + d(n - 1) where a1 = the first term and d = common difference.
So here the 13th term = 3 + 3(13 - 1)
= 3 + 3*12
= 39 (answer).
Answer:
D
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
= 