The amount in the passbook account is $11,000 and the money in the money market account is $8000
Let:
a represent the unknown amount in the passbook account
b represent the unknown amount in the money market account
From the question, the following information can be gathered:
- The money in the passbook account exceeds the amount in the money market account.
This information can be represented with this equation : a - b = 3000
- The interest paid on the passbook account exceeds the interest paid on the money market account.
This information can be represented with this equation : 0.08a - 0.10b = 80
The two equations gotten above would be solved using simultaneous equation and the elimination method
a - b = 3000 equation 1
0.08a - 0.10b = 80 equation 2
Multiply equation 1 by 0.08
0.08 - 0.08b = 240 equation 3
Subtract equation 2 from 3
0.02b = 160
Divide both sides of the equation by 0.02
b = 8000
Substitute for b in equation 1
a - 8000 = 3000
Add 8000 to both sides
a = 11,000
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
Answer:
12x-17=139
8x+35=139
Step-by-step explanation:
The angles are vertical angles which means they are equal
12x-17 = 8x+35
Subtract 8x from each side
12x -8x-17 = 8x-8x+35
4x -17 = 35
Add 17 to each side
4x - 17 +17 = 35+17
4x = 52
Divide each side by 4
4x/4 = 52/4
x =13
12x-17 = 12(13) -17 = 156-17 =139
8x+35 =8(13) +35=104+35=139
Answer:
The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.
Step-by-step explanation:
Answer:
600 cause at the start he had 600 ML in the cup, and as the seconds went by, he was drinking it so it went down. That means the start (0 seconds) had 600 ML in it.
Answer:
x > -3
Step-by-step explanation:
-3x - 3 < 6
Add 3 to each side
-3x - 3+3 < 6+3
-3x < 9
Divide by -3 remembering to flip the inequality
-3x/-3 > 9/-3
x > -3
