Answer:
y = 2
Step-by-step explanation:
Addition Method:
4x - 2y = 6
2x + y = 7
-2(2x + y) = -2(7)
4x - 2y = 6
-4x - 2y = -14
-4y = -8
y = 2
Substitution Method:
4x - 2y = 6
2x + y = 7
-2y = 6 - 4x
2y = 4x - 6
y = 2x - 3
2x + (2x - 3) = 7
4x - 3 = 7
4x = 10
x = 2.5
2(2.5) + y = 7
5 + y = 7
y = 2
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Answer:
19.7 or 20 rounded
Step-by-step explanation:
A = $ 1,861.65
A = P + I where
P (principal) = $ 630.00
I (interest) = $ 1,231.65
Continuous Compounding Formulas (n → ∞)
Calculate Accrued Amount (Principal + Interest)
A = Pe^rt
Calculate Principal Amount, solve for P
P = A / e^rt
Calculate rate of interest in decimal, solve for r
r = ln(A/P) / t
Calculate rate of interest in percent
R = r * 100
Calculate time, solve for t
t = ln(A/P) / r
Answer:
1: Tip, $2.23
2: Tax, $0.74
3: Total, $17.87
4: Split, $5.95
Step-by-step explanation:
To find the tip, you must multiply the tip percentage by the bill, (which has not been taxed yet). The tip is 15%, which is equivalent to 0.15. The tip multiplied by the bill (0.15×14.90) equals $2.23.
To find the tax, you do the same as you did with the tip. The tax is 5%, which equals 0.05. The tax multiplied by the bill, (0.05×14.90) equals $0.74. The total cost is the bill, tip, and tax added together, (14.90+2.23+0.74) equals $17.87. To find out how much each person will pay equally, you must divide the total bill by the amount of people, (17.87÷3) which equals $5.95.
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