Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
42,42,24,36,60,6
1st Find the mean X̅
=(42+42+24+36+60+6)/6 = 35
2nd find the difference between the data set value and the mean (x - X̅)
and square them:
(42-35)² = 49
(42-35)² = 49
(24-35)² = 121
(36-35)² = 1
(60-35)² = 625
(6-35)² = 814
Now add up te result ∑(x-X̅)² =1659
The answer is $19,360 because we multiply the annual interest rate of 6% or .06 by 3.5 years and we get a total interest of .21. The answer is found by performing $16,000 times 1.21 and we get $19,360.
Well I think it’s the third one but this is really advanced
Answer:
y = -3x - 2
Step-by-step explanation:
Equation of a line passing through 
and slope m is,
Slope of a line passing through and 
is,
Slope = 
Slope of the line passing through (0, -2) and (1, -5) will be,
Slope = 
m = - 3
Therefore, equation of the line passing through (0, -2) and slope = -3 will be,
y + 2 = -3(x - 0)
y + 2 = -3x
y = -3x - 2
