Answer:
Solution to system is
x = 6 and y= 4
S.set={6,4}
Step-by-step explanation:
The given equations are
x + 3y = 18 ................(i)
x + 2y=14 .................(ii)
Subtracting both equation
(x+3y)-(x+2y)=18-14
x+3y-x-2y = 4
y = 4
put the value of y in equation (i)
the equation becomes
x + 3(4) = 18
x + 12 = 18
subtracting 12 from both sides
x + 12 -12 = 18-12
x =6
Solution to system is
x = 6 and y= 4
S.set={6,4}
The triangle at top has a perimeter of 5, 12, and 13. The square has a perimeter of 29, 12, 29, and 12. If you add all those up you get 112
32 is the outlier, cause it’s much bigger than the other numbers
Answer:
y = -2x - 9
Step-by-step explanation:
so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.
-1 = -2(-4) + b
multiply -2 and -4
-1 = 8 + b
we subtract 8 from itself and -1
-9 = b
Our equation is y = -2x - 9
Answer:
14.4 years (about 14 years 6 months)
Step-by-step explanation:
Given data
Principal= $3000
Rate= 4.8%
A. Time= 5 years
The expression for compound interest is
A=P(1+r)^t
Substitute
A= 3000(1+0.048)^5
A= 3000(1.048)^5
A=3000*1.264
A=$3792
Hence the balance will be $3792
B. Final Amount A = $6000
The expression to find time is given ast
t= ln(A/P) / r
substitute
t= ln(6000/3000)/0.048
t= ln2/0.048
t= 0.6931/0.048
t=14.43
Hence the time is 14.4 years (about 14 years 6 months)approx
