Answer:
156
Step-by-step explanation:
221/17=13
13*12=156
Answer:
$156
Step-by-step explanation:
221/17=x/12
221*12=17x
2652=17x
156=x
Answer:
90
Step-by-step explanation:
Answer:
increase
Step-by-step explanation: I hope im right
if (x,y) is a solution to the system of equations above, what is the value of x-y?
A)-20
B)-8
C)-4
D)8
can you show your work please
Answer:
Step-by-step explanation:
The given system of equations :
Multiply equation (1) with 3 and equation (2) with 2 , we get
Now subtract equation (4) from equation (3), we get
Substitute the value of y in equation (1), we get
Hence, the solution of the system : (x,y)=(2,6)
Now, consider and substitute the value of x and y , we get
The solution to the equation is x - y = -4
Given data ,
To solve the system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:
Multiply the first equation by 3 and the second equation by 2 to make the coefficients of x in both equations equal:
(3)(2x-3y) = (3)(-14)
(2)(3x-2y) = (2)(-6)
Simplifying these equations gives:
6x-9y = -42
6x-4y = -12
Now, subtract the second equation from the first equation:
(6x-9y) - (6x-4y) = (-42) - (-12)
-5y = -30
Divide both sides by -5:
y = 6
Substitute this value of y back into one of the original equations, let's use the first equation:
2x - 3(6) = -14
2x - 18 = -14
2x = 4
x = 2
Now , the value of x - y is given by
A = x - y
A = 2 - 6
A = -4
Hence , the equation is solved
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Solve for X.
9514 1404 393
Answer:
3) x = 9
4) x = 3
Step-by-step explanation:
3) The two short segments are indicated as having a sum equal to the long segment.
(x +2) +(-5 +x) = 15
2x = 18 . . . . . . . . . . . . add 3
x = 9 . . . . . . . . . divide by 2
(This makes the segments be 9+2 = 11 and -5+9 = 4, which total 15.)
__
4) Same deal.
3x +3 = 4x
3 = x . . . . . . . . subtract 3x
(This makes the segments be 3(3) = 9 and 4(3) = 12, where 9+3=12.)
Answer:
Step-by-step explanation:
Answer:
Interest rate is 1.728%
Step-by-step explanation:
Here, we are interested in calculating the monthly interest rate on an account.
Mathematically;
The compound interest formula amount is given as;
A = P( 1 + r/n)^nt
where A is the amount at the end of the compounding = $2,134.96
P is the principal which is the amount deposited = $1,327.35
r is the rate which we want to calculate
n is the number of times per year it is compounded = (2 * 12) = 24 ( twice monthly)
t is the number of years = 12
2,134.96 = 1327.35( 1 + r/24)^(24 * 12)
divide both sides by 1327.35
1.608 = (1 + r/24)^288
Take the ln of both sides
ln 1.608 = ln ( 1 + r/24)^288
ln 1.608 = 288 ln (1 + r/24)
0.21 = 288 ln ( 1 + r/24)
Divide both sides by 288
0.00072 = ln (1 + r/24)
1.000716527571 = 1 + r/24
r/24 = 0.00072
r = 24 * 0.00072
r = 0.01728
which is same as 1.728%