1)
Julia = Sj = 30,500 + 500n
Aysha = Sa = 26,000 + 1000n
when will
Sj = Sa
30,500 + 500n = 26,000 + 1000n
30,500 - 26,000 = 1000n - 500n
4,500 = 1000n - 500n
4,500 = 500n
n = 9
so they will have same salary after 9 years
2) X + Y = 8000
5%X + 3.25%Y = 312.5
X = 8000 - Y
0.05 ( 8000 - Y ) + 0.0325Y = 312.5
400 - 0.05Y + 0.0325Y = 312.5
400 - 0.0275Y = 312.5
400 - 312.5 = 0.0275Y
87.5 = 0.0275Y
Y = 3,181.81
X = 8000 - Y = 8000 - 3,181.81 = 4,818.19
3) X + Y = 3050
8%X + 7.5%Y = 234
X = 3050 - Y
0.08(3050 - Y) + 0.075Y = 234
244 - 0.08Y + 0.075Y = 234
244 - 234 = 0.025Y
Y = 400
X = 3050 - Y = 3050 - 400 = 2650
Answer:
x = 3
y = 4
hey, I am not 100% sure of the certainty of my answers, I am using what I remember about that topic but I do not know if it is right or wrong, I hope I have helped you, I did what I could.
Step-by-step explanation:
-3x + 2y = 23
5x + 2y = -17
X solution:
(you cancel the y)
-3x = 23
5x = -17
(you combine all the values above with those below)
2x = 6
(solve the ecuation normaly)
x = 6/2 = 3
Y solution:
(you replace the x)
-3(3) + 2y = 23
5(3) + 2y = -17
-9 + 2y = 23
15 + 2y = -17
(you combine all the values above with those below)
6 + 4y = 6
(solve the ecuation normaly)
4y = 0
y = 4
(I do not really know if the answer here is 0 or 4 since when passing the 4 to divide it would be 0/4 and I do not understand very well how that is solved)
It is possible to see that the angle DCB is a right angle. It is also seen that sides CD and CB are congruent. So, the measure of angles CDB and CBD is the same. Since the sum of the three angles must be equal to 180°, the angle CDB must be equal to 45°.
∠CDB + ∠CBD + ∠DCB = 180°
∠CDB + ∠CBD + 90° = 180° (Replacing the value of angle DCB)
∠CDB + ∠CBD = 180° - 90° (Subtracting 90° on both sides of the equation)
∠CDB + ∠CBD = 90° (Subtracting)
2*∠CDB = 90° (Since ∠CDB = ∠CBD )
∠CDB = 90°/2 (Dividing by 2 on both sides of the equation)
∠CDB = 45°
I think this is the graph for your answer, for the next question like this, try to use "Desmos"