Answer:
See explanation
Step-by-step explanation:
Let the number of adults = a and the number of children = c.
Since the number of people using the pool is 288, we know that a + c = 288
Based on the price information, we know that 1.75c + 2.5a = 528
Combining these two equations allows us to solve for the values of a and c, the process for which follows
a = 288 - c
1.75c + 2.5(288 - c) = 528
c = 256
a = 288 - c = 288 - 256 = 32
a = 32
c = 256
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Answer:
x = ± 
It didn't insert but just look up the quadratic formula.
x = ± root [(b²-4ac]/2a]
Y = -2.8x +69.4
Let y represent units of inventory, and x represent days since the last replenishment. We are given points (x, y) = (3, 61) and (13, 33). The line through these points can be described using the 2-point form of the equation of a line:
... y -y1 = (y2-y1)/(x2 -x1)(x -x1)
Filling in the given point values, we have ...
... y -61 = (33 -61)/(13 -3)(x -3)
Simplifying and adding 61, we get ...
... y = -2.8x +69.4
Answer:
The doubling time of this investment would be 9.9 years.
Step-by-step explanation:
The appropriate equation for this compound interest is
A = Pe^(rt), where P is the principal, r is the interest rate as a decimal fraction, and t is the elapsed time in years.
If P doubles, then A = 2P
Thus, 2P = Pe^(0.07t)
Dividing both sides by P results in 2 = e^(0.07t)
Take the natural log of both sides: ln 2 = 0.07t.
Then t = elapsed time = ln 2
--------- = 0.69315/0.07 = 9.9
0.07
The doubling time of this investment would be 9.9 years.