Answer:
<h2>
4076.56</h2>
Step-by-step explanation:
First we need to calculate the James monthly charges on his balance of 4289.
Using the simple interest formula;
Simple Interest = Principal * Rate * Time/100
Principal = 4289
Rate = 5%
Time = 1 month = 1/12 year
Simple interest = 4289*5*1/12*100
Simple interest = 21,445/1200
Simple interest = 17.87
<u>If monthly charge is 17.87, yearly charge will be 12 * 17.87 = </u><u>214.44</u>
The balance on his credit card one year from now = Principal - Interest
= 4289 - 214.44
= 4076.56
The balance on his credit card one year from now will be 4076.56
I'd suggest using "elimination by addition and subtraction" here, altho' there are other approaches (such as matrices, substitution, etc.).
Note that if you add the 3rd equation to the second, the x terms cancel out, and you are left with the system
- y + 3z = -2
y + z = -2
-----------------
4z = -4, so z = -1.
Next, multiply the 3rd equation by 2: You'll get -2x + 2y + 2z = -2.
Add this result to the first equation. The 2x terms will cancel, leaving you with the system
2y + 2z = -2
y + z = 4
This would be a good time to subst. -1 for z. We then get:
-2y - 2 = -2. Then y must be 0. y = 0.
Now subst. -1 for z and 0 for y in any of the original equations.
For example, x - (-1) + 3(0) = -2, so x + 1 = -2, or x = -3.
Then a tentative solution is (-3, -1, 0).
It's very important that you ensure that this satisfies all 3 of the originale quations.
Answer: m
Step-by-step explanation:
if you are talking about a specific point, then it would be m because OA, AB and
<-->
AB
all have other points to them.
AB is when you are trying to explain the distance between AB
m would be used just to figure out where that point on the grid really is
Answer: third one
Step-by-step explanation:
Answer:
y = 3
Step-by-step explanation:
-5y + 8 = -7
subtract 8 from both sides
-5y = -15
now, divide -5 from both sides
y = 3