Answer:
32 days is my final answer
Step-by-step explanation:
Answer:
$131.60
Step-by-step explanation:
For the promotion, markup is 33.3% of the selling price.
Now, Selling Price = Cost price + Cost price*Markup
Selling Price = $98.75 + $98.75*33.3%
Selling Price = $98.75 + $32.88375
Selling Price = $131.63375
Selling Price = $131.60
Thus, the selling price of the bicycle after calculating the markup is $131.60.
Answer:
<h2>The total value of all the letters in the alphabet is 676.</h2>
Step-by-step explanation:
The problem is about an arithmetic sequence where the difference is 2, the first term is 1 and we know that the alphabet has 26 letters.
To find the total sum of all values, we have to use the following formula
Where 
, 
and 
. Replacing values, we have
Therefore, the total value of all the letters in the alphabet is 676.
Answer:
-x¹⁴ / 5040
-½ < x < ½
Step-by-step explanation:
f(x) = e^(-x²)
The Taylor series for eˣ centered at 0 is:
eˣ = ∑ (1/n!) xⁿ
Substitute -x²:
e^(-x²) = ∑ (1/n!) (-x²)ⁿ
e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ
The 14th degree term occurs at n=7.
(1/7!) (-1)⁷ x¹⁴
-x¹⁴ / 5040
ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n
If we substitute 4x²:
ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n
Using ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1
lim(n→∞)│-1 (4x²) n / (n+1)│< 1
4x² < 1
x² < ¼
-½ < x < ½
Correlation is what you're looking for. Basically, it means that the two numbers are somehow related. Some examples of correlation would be positive correlation, negative correlation, and no correlation.
:)
