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drice517
23.06.2019 •
Mathematics
Determine whether upper a equals upper ba=b, upper a is a subset of upper ba ⊆ b, upper b is a subset of upper ab ⊆ a, upper a is a proper subset of upper ba ⊂ b, upper b is a proper subset of upper ab ⊂ a or if none of these answer applies. set a is the set of odd counting numbers smaller than 66. set b is the set of odd natural numbers between 0 and 66.
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Ответ:
Many texts in the mathematical literature use ⊂ to mean ⊆, so it is best to use the proper subset unicode character ⊊.
Apparently some textbook writer is trying to change the meaning of ⊂ to match <, but that horse left the barn 120 years ago.
Question:
Determine whether
Set A equals Set B, A=B,
Set A is a subset of Set B, A ⊆ B,
Set B is a subset of Set A, B ⊆ A,
Set A is a proper subset of Set B, A ⊊ B,
Set B is a proper subset of Set A, B ⊊ A
or if none of these answer applies.
Set A is the set of odd counting numbers smaller than 66.
Set B is the set of odd natural numbers between 0 and 66.
A = B and A ⊆ B and B ⊆ A.
Step-by-step explanation:
Counting numbers are integers > 0.
Natural numbers are integers >= 0.
"N between x and y" might mean either x <= N <= y or x < N < y, but if N is odd and x and y are even, it doesn't matter.
A = {odd counting numbers < 66}
= {1, 3, 5, ..., 65}
B = {odd natural numbers N with 0 <= N <= 66}
= {1, 3, 5, ..., 65}
The sets are the same.
A = B and A ⊆ B and B ⊆ A.
A ⊊ B is false.
B ⊊ A is false.
Ответ:
Step-by-step explanation:
As it is supposed to be linear, we just subtract two adjacent months to find the difference.
$13,849.60 - $13,610.81 = $238.79 which will be her monthly payment (Q 14)
December's balance is $13,610.81 - $238.79 = $13,372.02 (Q13)
At the end of September, her first payment, her balance was
$13,849.60 + $238.79 = $14,088.39 and her original purchase price was
$14,088.39 + $238.79 = $14,327.18
so an equation for the current balance B at any month m is
B = (-$238.79)m + $14,327.18
We verify this by testing for February
B = (-$238.79)6 + $14,327.18 = $12,894.44 which checks out
It will take 14327.18 / 238.79 = 60 months to pay it off or 5 years (Q 15)