Answer:
Kate's electric bill will be $9 for this month for bulb use only.
Step-by-step explanation:
Given:
Electricity bill lass month from bulb use = $12
Using new bulbs percent decrease in electricity = 25%
We need to find this month electric bill for bulb use.
Solution:
First we will find the reduction in bill after using new bulbs.
reduction in bill after using new bulbs can be calculated by percent decrease in electricity using new bulb multiplied by last month Electricity bill from bulb use only.
framing in equation form we get;
reduction in bill after using new bulbs = 
Now we will find this month electric bill for bulb use only.
this month electric bill for bulb use only can be calculated by subtracting reduction in bill after using new bulbs from last month electric bill for bulb use only.
framing in equation form we get;
this month electric bill for bulb use only = 
Hence Kate's electric bill will be $9 for this month for bulb use only.
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
3/500
Step-by-step explanation:
.6% = .006 = 6/1000 = 3/500
1.875
Step-by-step explanation:
Step 1 :
Given,
In ΔOPQ,
∠Q=90°,
PO = 17, QP = 8 OQ = 15
Step 2:
We know that the hypotenuse will be the largest side of a triangle.
So in the given triangle PO = 17 is the hypotenuse.
With respect to angle P, OQ represents the opposite side of angle P and PQ will be the adjacent side.
Also the tangent of any angle in a triangle can be determined by dividing the opposite side of the angle by the adjacent side.
Step 3 :
So using the above we have,
tangent of angle P = opposite side /adjacent side = 15/8 = 1.875
The reflected points would be (-3,-7)
The x coordinate would stay the same but the y-coordinate would be the opposite
