37x + 45y = 7940
75x + 45y = 10,410
Since 45y is in both equations we can more easily transfer from first equation to 2nd equation.
In the first equation, subtract 37x from each side and you have 45y = 7940 - 37x. Replace the 45y in the second equation with (7940 - 37x).
Now you have 75x + (7940 - 37x) = 10,410
Simplify by combining 75x - 37x and you have 38x + 7940 = 10,410
Subtract 7940 from both sides and you have 38x = 2470.
Divide both sides by 38 and you have x = 65
To solve for y, take you first equation (or even the second one) and substitute c for 65.
(37 x 65) + 45y = 7940
2405 + 45y = 7940
Subtract 2405 from each side.
45y = 5535
Divide each side by 45 and you have y = 123
Regular tickets = $65
VIP tickets = $123
Answer:
Step-by-step explanation:
<u>Given:</u>
- I = 5% = 0.05
- t = 2 years
- Let the sum is x.
<u>Simple interest:</u>
<u>Compound interest:</u>
- CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x
<u>The difference is 230:</u>
- 0.1025x - 0.1x = 230
- 0.0025x = 230
- x = 230/0.0025
- x = 92000
This would convert to 22,200 words an hour.
Answer:
The final price is $66.
Step-by-step explanation:
This question can be solved by a rule of three.
The initial price was of $120.
Initially, there was a discount of 15%. Then, there is another discount on the initial price. So the total discount is of 15+30 = 45%.
So the final price will be 100-45 = 55% = 0.55 of the initial price.
So
$120 - 1
x - 0.55
The final price is $66.
Answer:
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