500,000 *(1 + x) = 600,000
we're going to solve for x
first divide both sides by 500,000
1 + x = 1.2
subtract 1 from both sides
x = 0.2
turn that into a percent by multiplying it by 100
0.2*100 = 20%
the magazine sales increased by 20%
Take the deritivive
remember
the deritivive of f(x)/g(x)=(f'(x)g(x)-g'(x)f(x))/(g(x)^2)
so
deritiveive is ln(x)/x is
remember that derivitive of lnx is 1/x
so
(1/x*x-1lnx)/(x^2)=(1-ln(x))/(x^2)
the max occurs where the value is 0
(1-ln(x))/(x^2)=0
times x^2 both sides
1-lnx=0
add lnx both sides
1=lnx
e^1=x
e=x
see if dats a max or min
at e/2, the slope is positive
at 3e/2, the slope is negative
changes from positive to negative at x=e
that means it's a max
max at x=e
I realize I didn't find the max point, so
sub back
ln(x)/x
ln(e)/e
1/e
the value of the max would be 1/e occuring where x=e
4th option is answer (1/e) because that is the value of the maximum (which happens at x=e)
Right triangle = Pythagoras theorem.
a^2+b^2=c^2
there's already c and b so
10^2-8^2=a^2
100-64= 36
a^2=36
square root both sides
to get 6.
Answer:
Step-by-step explanation:
15/2=7.5
7.5 as a fraction is
Answer:
t = 32/5
Step-by-step explanation:
7 - (5t - 13) = -12
7 - (5t - (-13) = -12
7 - 5t + 13 = -12
-5t = -12 - 13 - 7
-5t = -32
t = -32 / -5
t = 32/5