Answer:
x = 3, y = 1 is the solution of the given system.
Step-by-step explanation:
Here, the given system of equations is:
y = -x + 4 ...... (1)
y = x - 2 .......... (2)
Now, to find the solution of the system, SUBSTITUTE the value of y from equation (1) in to the equation (2). We get ,
y = x - 2 ⇒ -x + 4 = x - 2 ( as from (1), y = -x + 4)
or, -x -x = -2 -4
or, - 2 x = -6 ⇒ x = 6/2 = 3
or, x = 3
⇒ y = x - 2 = 3 - 2 = 1
⇒ y = 1
Hence, x = 3, y = 1 is the solution of the given system.
Answer:

Step-by-step explanation:
To find this probability, we have to know:
- How many numbers are there in between 5 and 8 inclusive?
- How many total numbers are there?
We simply divide the first answer by the second one and get our probability.
So, the numbers are 5,6,7,8 ----- that is 4 numbers
How many numbers are there in total? That is:
0, 1, 2, 3, 4, 5, 6, 7, 8, or 9 ------- 9 numbers
Thus, the probability is 4/9
Answer:
1/10 10% of 1
Step-by-step explanation:
3/4 0.75
0.2 20% of 1
15/10 150% of 1
14/10 1.4
I = p * r * n
i is the interest
p is the principal
r is the interest rate per time period
n is the number of time periods.
in your problem:
i = 900
p = 2000
r = what you want to find
n = 3 years
formula becomes 900 = 2000 * r * 3
solve for r to get r = 900 / 2000 / 3 = .15
that's .15 interest rate per year = 15% per year.
at a nominal interest rate of .15 per year, the interest rate per month would be .15/12 = .0125 per month.
the remaining balance at the end of 6 month is equal to 1907.140183
Simple.....
you have

to find what a is....simplify/multiply both sides....

simplifying it too....
18=7a


Thus, your answer, C.