Answer: She has 21.63 more euros than pounds and has 1.23 times more euros than pounds.
Step-by-step explanation:
She has US$300, and she will withdraw half of it on pounds, and half of it in euros.
(half of US$300 is US$150)
We know that:
1 pound = US$1.6
(1 pound/US$1.6) = 1
Then US$150 = US$150*(1 pound/US$1.6) = (150/1.6) pounds = 93.75 pounds.
And we also know that:
1 euro = US$ 1.3
then:
(1 euro/US$ 1.3) = 1
This means that:
US$150 = US$150*(1 euro/US$ 1.3) = (150/1.3) euros = 115.38 euros.
This means that:
115.38 - 93.75 = 21.63
This means that she has 21.63 more euros than pounds.
and:
115.38/93.75 = 1.23
She has 1.23 times more euros than pounds.
Answer:
cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster
Step-by-step explanation:
(85 x 85) - (77 - 77) = 1296
square root of 1296 is 36
77 + 36 = 113
113 - 85 = 28
this means that cherry st. is 28 yds faster
using the Pythagorean Theorum
9514 1404 393
Answer:
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Step-by-step explanation:
The applicable derivative formula is ...
d(u/v) = (v·du -u·dv)/v²
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f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²
f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²
f'(x) = (-6x² -14x -23)/(x² +5x +2)²
__
Similarly, the second derivative is the derivative of f'(x).
f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴
f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³
f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³
Answer:
= 384
Step-by-step explanation:
(-8)(-4)(12)
= (32)(12)
=384
