10. Which of the following corresponds to the midpoint of the points A(-2, 5, -3) and B(7,-4, 10)
1 answer:
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Answer:
fourth option
Step-by-step explanation:
Using the trigonometric identity
cos²x + sin²x = 1
Divide all terms by cos²x
+
=
which gives
1 + tan²x = sec²x
He borrowed "a" at 7% and "b" at 8.25%
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
x ≤ 12
Solution:
Let us take the number be x.
A number : x
A number divided by three :
A number divided by three less two :
A number divided by three less two is at most two :
Now, simplify the inequality,
Add 2 on both sides of the inequality,
Multiply by 3 on both sides of the equation,
Hence x ≤ 12.
Answer: 8/25
Step-by-step explanation: Using the place value chart, we can see that the decimal 0.32 is thirty-two hundredths so we can write 0.32 as 32/100.
Since 32/100 is not in lowest terms, we divide both the numerator and the denominator by 4 and we get the equivalent fraction 8/25.
This means that 0.32 can be written as the fraction 8/25 which is in lowest terms.
