Answer:
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Determine the truth value of each of these statements if the domain of each variable consists of all real numbers.a) ∀x∃y(x2 = y
1 answer:
The statement is true. If x and y are both real numbers, the statement is:
"for every x, there exist y such that "
This is true, because you can pick any real number, square it, and obtain another real number, y. The relation is not surjective, i.e. we will not use all possible values for y, but it doesn't matter. The statement is only asking to find a value for x^2, which we can always do.
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Answer:
About $1,178,974
Step-by-step explanation:
Alright, the sequence we have right now is:
500,000 550,000 605,000
We want to find the common ratio, so let's divide 550,000 by 500,000 and see if we get the same value as 605,000 divided by 550,000:
550,000/500,000 = 1.1
605,000/550,000 = 1.1
Now, we know that r = 1.1. We also know the first term is: = 500,000.
We use the explicit rule of a geometric sequence:
Here, we want to find , which means that n = 10. We know r and
, so we just plug in these values:
≈
≈
Thus, the answer is about $1,178,974.
Hope this helps!