1.7(10^6)/2.63 (10^5)
+
7.33
=
13.793878
Answer:
1) The graph is as shown at the attached figure.
2) The line passes with (1,-3) and (2,-2)
Step-by-step explanation:
graph the line that passes with (3,-1) and has a y-intercept of -4
y-intercept is the value of y when x = 0
So, the line passes with (0 , -4)
The general form of the line y = mx + c
Where m is the slope and c is y-intercept
given y-intercept = -4 ⇒ ∴ c = -4
using the other point to find m
So, when x = 3 , y = -1
So, -1 = 3m - 4
Solve for m
3m = -1 + 4 = 3
m= 3/3 = 1
So, the equation of the line ⇒ <u>y = x - 4</u>
See the attached figure which represents the graph of the line
As shown at the graph the line passes through the points <u>(1,-3) and (2,-2)</u>
Answer:
C. Town A has the greater average number of dogs per neighborhood.
Step-by-step explanation:
First, find Town A's average number of dogs per neighborhood. Since the graph is a straight line, you can find the number of dogs per neighborhood by dividing a given y-value by its x-value counterpart:
(4,60)
60 dogs / 4 neighborhoods
<u>15 dogs / neighborhood.</u>
Now, we must find the average number of dogs per neighborhood in Town B. Since the equation is y = 10x, where x is the number of neighborhoods, in 1 neighborhood, there are 10 dogs:
<u>10 dogs / neighborhood.</u>
Finally, compare the two values:
15 > 10
<u>C. Town A has the greater average number of dogs per neighborhood.</u>
Answer:
130/81
simplified: 1 49/81
Step-by-step explanation:
I did the math
Answer:
<em>Her annual salary is $62,400</em>
Step-by-step explanation:
Michelle Hong noticed that her gross pay per period increased by 2,800 when her employer changed from a bi weekly pay plan to a monthly pay plan.
Bi weekly is a check every 2 weeks, so she would get 26 checks per year.
Monthly would be 12 checks per year.
When she gets paid monthly her pay increased by $2,800 each check.
Let x be one bi-weekly paycheck.
The equation we get is:
12(x+2800) = 26x
Multiply the bracket by 12:
12x +33600 = 26x
Subtract 12x from both sides
33600 = 14x
Divide both sides by 14:
x = 33600/14
<em>x = 2400</em>
Her pay increased by 2800 each period:
2400 + 2800 = 5200 per check.
5200 x 12 months = 62400
<em>Her annual salary is $62,400</em>