Since F(X) = 3^X,
F(4) = 3^4 = 81
Answer:
wow.
Step-by-step explanation:
Answer:
$3240.Step-by-step explanation:
there is no way to explain it on computer but hope this helps
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²
Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.
A'(x)=3000-18X
Set derivative equal to 0
0=3000-18X
166.6666666=X
Now test the intervals
(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -
Plug the X value back into the secondary equation
5y+3(166.666666)=1000
5Y=500
Y=5
Answer:
X= 166.6666666666
Y=5
Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
Answer:
156.25 grams
Step-by-step explanation:
Well, for starters we know that the substance decays by 2% each day and its been decaying for 34 days. Therefore, the substance has decayed by 68%
34 x 2 = 68
Hence, 50 grams is 32% because the substance has already decayed by 68%
100 - 68 = 32
So now we know 50 grams is 32%. Now we need to find how much 100% is.
50 - 32%
X - 100%
We cross multiply.
50 x 100 = 5000
And divide.
5000 / 32 = 156.25
Thus, in the beginning, there were 156.25 grams in the substance.
Hope this helps! :)
