In constructing the equation, you need to know the following:
1. What don't we know? How many minutes you must talk to have the same cost for both calling plans. So, let x be the number of minutes.
2. What do we know? Plan 1 charges $17.50 per month plus $0.17 per minute used and Plan 2 charges $32 per month plus $0.07 per minute used.
So the equation must look like this: 17.50 + .17x = 32 + 0.07x
Solving the equation:
1. Multiply both sides by 100
(100) 17.5 + .17x = 32 + 0.07x (100)
1750 + 17x = 3200 + 7x
2. Subtract 1750 from both sides
1750 + 17x - 1750 = 3200 + 7x - 1750
17x = 7x +1450
3. Subtract 7x from both sudes
17x - 7x = 7x + 1450 - 7x
10x = 1450
4. Divide both sides by 100
10x / 10 = 1450/10
x= 145 minutes
145 minutes is the number of minutes you must talk to have the same cost for both calling plans.
Answer:
$2400 in A rated bond and $3000 in B rated bond.
Step-by-step explanation:
We have been given that Maria has recently retired and requested an extra $444.00 per year in income.
We can represent this information in an equation as:
She has $5400 to invest in an A-rated bond that pays 10% per annum or a B-rated bond paying 6% per annum.
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, Maria should invest $2400 in A-rated bond.
Substitute in equation (1):
Therefore, Maria should invest $3000 in B-rated bond.
Answer:
I really don't know what that is so because I didn't even pass the grey that you're in so sorry
Step-by-step explanation:
look it up on Google and you will know maybe
So, this is kind of a hard concept to explain without any pictures, but I'll try anyways.
Think of a plane as like a sheet of paper, and a line as a metal rod.
If I want to intersect the plane, it means that my line (rod) has to touch the plane (paper).
If I poke the rod through the paper, it only intersects it in one place, and I cannot fold or warp the paper to change that.
The only other way I can make these two touch is if I lay the rod on top of the paper. However, when I do this the paper is touching every single point along the rod...
I hope this kinda helps explain why you can never intersect in exactly two points.