Answer:
20 minutes
Step-by-step explanation:
x is 0 in the graph and y is 20
so 20 is your answer if 0 is x
Answer:
see explanation
Step-by-step explanation:
The n th term ( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁₂ = - 95 and a₃₇ = - 270 , then
a₁ + 11d = - 95 → (1)
a₁ + 36d = - 270 → (2)
Subtract (1) from (2) term by term to eliminate a₁
25d = - 175 ( divide both sides by 25 )
d = - 7
Substitute d = - 7 into (1) and solve for a₁
a₁ + 11(- 7) = - 95
a₁ - 77 = - 95 ( add 77 to both sides )
a₁ = - 18 , thus
= - 18 - 7(n - 1) = - 18 - 7n + 7 = - 7n - 11
= - 7n - 11 ← explicit formula
--------------------------------------------------------------
The recursive formula allows a term in the sequence to be found by adding the common difference d to the previous term, thus
=
- 7 with a₁ = - 18 ← recursive formula
Answer: $95
Step-by-step explanation:
Te new price will be 90 + 5x, if the price increases "x" times
The number of wind chimes sold per month will become 140 - 7x

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum
First, put it into slope/intercept form so you can see what you've got.
"Slope/intercept form" is <em> y = everything else</em> .
So that means you have to take the equation you have and "solve it for 'y' ".
<u>2y - 10x = 20</u>
Add 10x to each side: 2y = 10x + 20
Divide each side by 2 : <em> y = 5x + 10</em>
There it is.
Now that you have it in that form, you can just look at it and see that the
slope of the line on the graph is 5, and the line crosses the y-axis at 10.
And that's exactly the information you need to graph it. On your graph,
mark a little dot on the y-axis at 10, and draw a line through that dot
with a slope of 5.
59 degrees!
because you set up your problem: 3c+2+2c-7=90
then combine all like terms: 5c-5=90
Add 5 to both sides: 5c=95
then divide both sides by 5: c=19
Plug in your answer: 3(19)+2=59