Answer:
20 stamps
Step-by-step explanation:
Let x be Muthu's original count
Let y be Sangeetha's original count
x = 4y
x - 12 = y + 12
y = x - 24
x = 4(x - 24)
x = 4x - 96
3x = 96
x = 32
so 32 - 12 = 20
Answer:
49.92 miles/hour
Step-by-step explanation:
32 miles/hour = 32 * 5280 = 168960 ft/hour
For the collision to occur, both cars must arrive at the intersection at the same time.
The time it takes for the Mercedes to travel 400 feet at the rate of 168960 ft/hour is 400 / 168960 = 0.002367 hours
So the Ferrari should take the same time to travel 624 feet as well, its speed would be
624 / 0.002367 = 263577.6 ft/hour or 263577.6 / 5280 = 49.92 miles/hour
Answer:
$0.025x² . . . where x is a number of percentage points
Step-by-step explanation:
The multiplier for semi-annual compounding will be ...
(1 + x/2)² = 1 + x + x²/4
The multiplier for annual compounding will be ...
1 + x
The multiplier for semiannual compounding is greater by ...
(1 + x + x²/4) - (1 + x) = x²/4
Maria's interest will be greater by $1000×(x²/4) = $250x², where x is a decimal fraction.
If x is a percent value, as in x = 6 when x percent = 6%, then the difference amount is ...
$250·(x/100)² = $0.025x² . . . where x is a number of percentage points
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<u>Example</u>:
For x percent = 6%, the difference in interest earned on $1000 for one year is $0.025×6² = $0.90.
Here is the diagram and the required value of other angle.
