500t represents the number of times bees visit the flower because if bees visit the flower 500 times for every year it is alive, and it was alive 5 years, then it would be 500 times 5. So 500t represents how to find how many times a bee would visit a particular plant.
Step-by-step explanation:
The factors of number 30 are 1, 2, 3, 5, 6, 10, 15 and 30.
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The employee should pay $726.95 for tax. Since his income this month, $11,725, is within $115,000 stipulated by FICA, the 6.2% tax rate applies to all of his income. Therefore, he should pay 11725*6.2%=726.95 dollars.
9514 1404 393
Answer:
(x, y) = (2, -2)
Step-by-step explanation:
We would normally choose to use substitution when x or y could be easily solved-for without having fractions involved. That is not the case here. However, we observe that the term 3y appears in both equations, so we can substitute for "3y" instead of "y".
From the second equation, ...
3y = 5x -16
Substituting into the first equation, ...
2x +(5x -16) = -2
7x = 14 . . . . . . . . . add 16
x = 2 . . . . . . . . . . divide by 7
Using our equation for y, we get ...
3y = 5(2) -16 = -6
y = -2 . . . . . . . . . divide by 3
The solution is (x, y) = (2, -2).
9514 1404 393
Answer:
Step-by-step explanation:
The speed downriver was (16 mi)/(2 h) = 8 mph. The speed upriver was (16 mi)/(4 h) = 4 mph. The canoe's speed in still water is the average of these speeds: (8+4)/2 = 6 miles per hour.
The current's speed is the difference between the actual speed and the canoe's speed: 8 -6 = 2 miles per hour.
The speed of the canoe in still water is 6 mph; the rate of the current is 2 mph.
