Answer: y=6, x=2
Step-by-step explanation:
Substitute x=12-y/3
Isolate y, then you get 6 is y
x=12-3/3
x=2
When you have -5+6 it = 11 because the 6 is the bigger # and then it keeps the sign.
Answer:
45 pound plate = 4
10 pound plate = 8
Step-by-step explanation:
x = 45 pound plate
y = 10 pound plate
x + y = 12 - - - (1)
45x + 10y = 260 - - (2)
x = 12 - y
45(12 - y) + 10y = 260
540 - 45y + 10y = 260
540 - 35y = 260
-35y = 260 - 540
-35y = - 280
y = 280 / 35
y = 8
x = 12 - y
x = 12 - 8
x = 4
The value of interest rate (r) is equal to 0.054.
<u>Given the following data:</u>
To determine the value of interest rate (r):
<h3>How to calculate monthly payment.</h3>
Mathematically, the monthly payment on a loan is given by this formula:
![M = \frac{Pr(1+r)^n}{(1+r)^{n-1}}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7BPr%281%2Br%29%5En%7D%7B%281%2Br%29%5E%7Bn-1%7D%7D)
<u>Where:</u>
- P is the principal or amount borrowed.
- M is the monthly payment.
- t is the time or number of years.
- n is the number of times it's compounded.
Generally, the interest rate (r) is given as a percentage and as such should be divided by 100.
![r = \frac{5.4}{100}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B5.4%7D%7B100%7D)
r = 0.054.
Read more on interest rate here: brainly.com/question/24341207
Answer:
A' (6, -2)
B' (4, 2)
C' (10, 6)
Step-by-step explanation:
When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.
(3, -1) × 2 = (6, -2)
(2, 1) × 2 = (4, 2)
(5, 3) × 2 = (10, 6)