Answer:
(−8/3,−11/6)
Step-by-step explanation:
-3x+5=13 ; x+4y=-10
x=−8/3
and y=−11/6
Answer:
$5,500
Step-by-step explanation:
Let A be the amount invested at 3%, B the amount at 4%.
Total value:
1.A%2BB=8000
Interest:
Multiply eq. 1 by -3 and add to eq. 2,
-3A-3B%2B3A%2B4B=-24000%2B29500
highlight%28B=5500%29
Then from eq. 1,
A%2B5500=8000
highlight%28A=2500%29
A
Step-by-step explanation:the answer is you have 8 quarter and 13 dimes .
Because you have 5 more dimes than quarters which will equal 3 dollars and 30 cents
Answer: this dose not even make sense
Step-by-step explanation:
You only put a pdf
(a)
![f'(x) = \frac{d}{dx}[\frac{lnx}{x}]](https://tex.z-dn.net/?f=f%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Cfrac%7Blnx%7D%7Bx%7D%5D)
Using the quotient rule:
For maximum, f'(x) = 0;
(b) <em>Deduce:
</em>
<em>
Soln:</em> Since x = e is the greatest value, then f(e) ≥ f(x) > f(0)
, since ln(e) is simply equal to 1
Now, since x > 0, then we don't have to worry about flipping the signs when multiplying by x.
Taking the exponential to both sides will cancel with the natural logarithmic function in the right hand side to produce:
, as required.
