Answer:
C. N = 400 / 10
Step-by-step explanation:
Lawn-cutting Bank Account = $325
Amount paid for gas = $75
Total amount earned = Lawn-cutting Bank Account + Amount paid for gas
= $325 + $75
= $400
Amount earned per every lawn he mowed = $10
How Many Lawns Did He mow?
Let N = number of lawns he mowed
N = Total amount earned / Amount earned per every lawn he mowed
N = 400 / 10
N = 40 lawns
Let x= months
So 50x is the total amount he pays after x months. You went to add 100 to this because there's a fixed cost of 100 for the phone
So you have the expression 100+50x which is the amount he pays after x months
Since he has a limit of 300,
100+50x < 300
Find 28/70 and then mult. the result by 100%.
Using a calculator, 28/70 = 0.4. Multiplying this result by 100%, we get 40%.
The tangent line to <em>y</em> = <em>f(x)</em> at a point (<em>a</em>, <em>f(a)</em> ) has slope d<em>y</em>/d<em>x</em> at <em>x</em> = <em>a</em>. So first compute the derivative:
<em>y</em> = <em>x</em>² - 9<em>x</em> → d<em>y</em>/d<em>x</em> = 2<em>x</em> - 9
When <em>x</em> = 4, the function takes on a value of
<em>y</em> = 4² - 9•4 = -20
and the derivative is
d<em>y</em>/d<em>x</em> (4) = 2•4 - 9 = -1
Then use the point-slope formula to get the equation of the tangent line:
<em>y</em> - (-20) = -1 (<em>x</em> - 4)
<em>y</em> + 20 = -<em>x</em> + 4
<em>y</em> = -<em>x</em> - 24
The normal line is perpendicular to the tangent, so its slope is -1/(-1) = 1. It passes through the same point, so its equation is
<em>y</em> - (-20) = 1 (<em>x</em> - 4)
<em>y</em> + 20 = <em>x</em> - 4
<em>y</em> = <em>x</em> - 24
Answer:
12
Step-by-step explanation:
Parenthesis first:
5-4+1
5-4=1+1=2
18÷3×2
Divide:
18÷3×2
Multiply:
6×2=12
