Answer:
x = 33
Step-by-step explanation:
(x + 13) + (4x + 2) = 180
x + 13 + 4x + 2 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Check:
(x + 13) + (4x + 2) = 180
(33 + 13) + 4(33) + 2 = 180
46 + 132 + 2 = 180
46 + 134 = 180
Answer:
Month 8
In this month Company B's plan will pay $64,000 versus $45,000 from Company A.
Step-by-step explanation:
Start by calculating the monthly payments for both plans.
Month - Company A - Company B
1 $10,000 $500
2 $15,000 $1,000
3 $20,000 $2,000
4 $25,000 $4,000
5 $30,000 $8,000
6 $35,000 $16,000
7 $40,000 $32,000
8 $45,000 $64,000
9 $50,000 $128,000
10 $55,000 $256,000
11 $60,000 $512,000
12 $65,000 $1,024,000
13 $70,000 $2,048,000
14 $75,000 $4,096,000
15 $80,000 $8,192,000
16 $85,000 $16,384,000
17 $90,000 $32,768,000
18 $95,000 $65,536,000
19 $100,000 $131,072,000
20 $105,000 $262,144,000
21 $110,000 $524,288,000
22 $115,000 $1,048,576,000
23 $120,000 $2,097,152,000
24 $125,000 $4,194,304,000
-x<-x+7(x-2)
-x<-x+7x-14 Distribute the 7
-x<6x-14 Combine like terms
-7x<-14 Move all variables to one side
x>2 Divide by -7 to isolate the variable
Answer:
Step-by-step explanation:
So we have the system:
If we isolate the x-variable in the first equation:
Subtract 2y from both sides:
Divide both sides by -1:
Therefore, we would substitute the above into the second equation:
The answer is 2y+6
Further notes:
To solve for the system, distribute:
Simplify:
Subtract:
Divide:
Now, substitute this value back into the isolated equation:
Since, AB and BC are the same length, the measure of the chord for BC would be 12.5 units
