Answer:
Karen must ask the manager
Step-by-step explanation:
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Summation of 3n + 2 from n = 1 to n = 14 = (3(1) + 2) + (3(2) + 2) + (3(3) + 2) + . . . + (3(14) + 2) = 5 + 8 + 11 + ... + 44 ia an arithmetic progression with first term (a) = 5, common difference (d) = 3 and last term (l) = 44 and n = 14
Sn = n/2(a + l) = 14/2(5 + 44) = 7(49) = 343
Therefore, the required summation is 343.
Answer:
y-intercept: (0, 5); slope: 1/4
Step-by-step explanation:
The slope (m) is found from ...
m = (y2 -y1)/(x2 -x1)
Using the first two points in the table, this is ...
m = (8 -6)/(12 -4) = 2/8 = 1/4 . . . . . eliminates choices A and C
__
Then, the point-slope form of the equation of the line can be written as ...
y -y1 = m(x -x1)
y -6 = (1/4)(x -4) . . . fill in known values
y = 1/4x -1 +6 . . . . . add 6
y = 1/4x +5
Then the value of y when x=0 is ...
y = 0 +5 = 5
So, the y-intercept is (0, 5) and the slope is 1/4, matching the last choice.
Julie would reach her goal first. Julie would reach her goal in approximately 316 days while it would take Mary approximately 333 days to reach it.
I know this because the steps to solve the problem are:
1.) 1,000/12 = 83.333 (to find how many days it would take her everyday)
2.) 83.333x4 = 333 (multiplying the answer by four makes it every four days)
3.) determine that it takes Mary 333 days
4.) 1,000/19 = 52.631 (just like step 1 but with different numbers)
5.) 52.631x6 = 316 (just like in step 2 but different numbers)
6.) determine it takes Julie 316 days
7.) 316 < 333 (takes Julie less time)
Below is the solution:
volume = lwh
<span>= 18(3)(1/3) </span>
<span>= 18 cubic feet
</span>
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