Answer:
50 : 6 = x : 40 is the proportion
Step-by-step explanation:
50 : 6 = x : 40
x = 50 * 40 : 6
x = 333.33
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check
50 : 6 = 333.33 : 40
8.33 = 8.33
The answer is good
Answer: f'(x) = 12x + 48x³ - 48x⁵
<u>Step-by-step explanation:</u>
f(x) = (1 - 2x²)³
= (1 - 2x²)(1 - 4x² + 4x⁴)
1 - 4x² + 4x⁴
<u> -2x² + 8x⁴ - 8x⁶</u>
= 1 - 6x² + 12x⁴ - 8x⁶
f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹
= 12x + 48x³ - 48x⁵
Answer:
See the step-by-step explanation
Step-by-step explanation:
Let c be any element of C. (I'm not sure wether you have to assume that C is non-empt or not)
C is a subset of B. That means that as c is in C, it is also in B. ()
Now, B is a subset of A. It follows that as .
That means c is an element of A. The predicate Q is true for all elements of A, including c.
Because we let c be any element of C, we have proven that the predicate Q is true for all elements in C.
Account A
A=p+i
A=25,000+(925×5)
A=29,625
Account B
A=p(1+rt)
A=25,000×(1+0.065×5)
A=33,125
How much more did the account B earn
33,125−29,625
=3,500