Let's solve the inequality
Therefore the solution of the inequality is the set:
Answer:
Step-by-step explanation:
First of all cross multiply
That's
Expand the terms
Add 16 to both sides
That's
Subtract 35w from both sides
We have
We have the final answer as
Hope this helps you
There are 34 people in the garden prior to the time I joined them.
So when I entered the garden, the total number of people in the garden will be:
Let assume, you as the reader was part of the people in the garden and you hugged 30 people. That doesn't add up or increase the number of people in the garden.
At the end of the day, the number of people you did not hug is:
35 - 30 - 1(you)
= 35 - 31
= 4 people
Therefore, we can conclude that there are 35 peoplepresent in the garden.
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Answer:
34
Step-by-step explanation:
2. 40% of 500 is _____
3. 75% of 60 is ______
Answer:
1. 3
2. 200
3. 45
Step-by-step explanation:
Answer:
Step-by-step explanation:
Without using the Routh-Hurwitz criterion at all, you know there is one positive real root. Descartes' rule of signs tells you the number of positive real roots is equal to the number of sign changes in the coefficients (perhaps less a multiple of 2). There is one sign change in + + + + - - , so there is one positive real root.
_____
(a) The Routh array starts as two rows of the polynomial's coefficients, alternate coefficients on each row. For this odd-degree polynomial, the number of coefficients is even, so no zero-padding is necessary at the right end of the second row. That is, we start with ...
The next row is formed from combinations of coefficients in the two rows above. The computation is similar to that of a determinant. By matching the numbers to those in the array, you can see the pattern of the computation.
The next row values are ...
Simplifying, we find this row to be ...
The zero row is a special case that requires we proceed as follows. The row above (identified with s⁴) represents an "auxiliary polynomial":
To continue the process, we replace the zero row by the coefficients of the derivative of this auxiliary polynomial. Proceeding as before, the array now becomes ...
The number of sign changes in the first column (1) tells the number of roots in the right half-plane. The auxiliary polynomial will give us the remaining two pairs of roots:
So, we have determined there to be ...
__
(b) The original polynomial can be factored as ...
p(s) = (s +2)(s² +25)(s +1)(s -1)
p(s) = (s +2)(s +1)(s -5i)(s +5i)(s -1)
This verifies our result from part (a).
_____
Additional comments
Any row can be multiplied by a convenient factor to simplify the arithmetic. Here, it would be convenient to divide the second row by 2 and the third row by 8.
A zero element (not row) in the first column is replaced by "epsilon" (a small positive number) and the rest of the arithmetic is continued as normal. That row is not counted (it is ignored) when counting sign changes in the first column.
Record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021. (If no entry is required for a particular transaction/event, select "No Journal Entry Required" in the first account field. Round your final answers to the nearest whole dollar.)
The appropriate journal entries to record the bond issue on January 1, 2021, and the first two semiannual interest payments on June 30, 2021, and December 31, 2021 are:
White Water journal entries
1-Jan-21
Debit Cash $382,141
Credit Discount on Bonds Payable $27,859
($410,000-$382,141)
Credit Bonds payable $ 410,000
30-Jun
Debit Interest Expenses $ 15,286
($382,141 x 8%/2)
Debit Discount on Bonds Payable $736
Credit Cash $14,350
($410,000 x 7%/2)
31-Dec
Debit Interest Expenses $15,315.08
[($382,141 + 736) x 8%/2]
Credit Discount on Bonds Payable $965.08
($15,315.08-$14,350)
Credit Cash $14,350
($410,000 x 7%/2)
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Answer:
Step-by-step explanation: