The answer is E.
First you need to find the rate. You must divide 1.8 by 100
1.8/100 = .018
Then add 1.
.018 + 1 = 1.018
Then times the starting amount with 1.018. The starting amount 750
750(1.018) = <span>763.5.
</span>As you can see, in option E that is the 2nd number.
Now we must find the next number.
You will do 750(1.018)^x
x represents the time.
763.5 was the first month.
750(1.018)^2 is the 2nd month.
750(1.018)^2 = <span>777.244 which is the 3rd number in option E</span>
Answer:
105
Step-by-step explanation:
Let the angle of B be x
According to the question,
5x+x=90
or, 6x=90
or, x=15
The angle of B is 15
The angle of A is (15*5)=75
The supplementary angle of A is
(180-75)=105
Answer:
20°.
Step-by-step explanation:
According to both the diagram and the presented angle measure, m∠RPS + m∠QPR = m∠QPS.
(4x + 27) + (9x - 115) = 107
4x + 9x + 27 - 115 = 107
13x - 88 = 107
13x = 195
x = 15
Now that we have the value of x, we can find the m∠QPR.
9x - 115
= 9 * 15 - 115
= 135 - 115
= 20
So, m∠QPR is 20°.
Hope this helps!
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
