N.b., this is copied from an answer I wrote for someone else.Thinking about the graph of y, the rate of change is zero whenever there is an extremum.
First, differentiate y.
Next, find the zeros of y' by factoring.
Now, we substitute these x-values into the
original equation to find the coordinates.
Just an 15% 15.8% to be exact
Answer:
6=a
Step-by-step explanation:
5^9/5^3=5^a
We know that b^c = b^d = b^(c-d)
5^9/5^3=5^a
5^(9-3) = 5^a
5^6 = 5^a
The bases are the same so the exponents are the same
6=a
Answer:
14 3/4 years
Step-by-step explanation:
Let's assume compound inflation. The appropriate formula for that is:
A = P(1 + r)^t.
If we represent current prices by P, then double that would be 2P:
2P = P(1 + 0.048)^t Find t, the time required for prices to double.
Then:
2 = 1.048^t
Taking the natural log of both sides, we get:
ln 2 = t·ln 1.048, so that:
t = (ln 2) / (ln 1.048) = 14.78
At 4.8 inflation, with annual compounding, prices will double in approx. 14 3/4 years.
Answer:
x= 76, y = 63 z, 104
Step-by-step explanation:
We can find x since the three angles of a triangle add to 180 degrees
46+58+x = 180
104+x =180
Subtract 104 from each side
x = 180-104
x = 76
x and z form a straight line
x+z =180
76+ z = 180
Subtract 76 from each side
z = 180-76
z = 104
Z, 13 and y make a triangle
z+ 13 +y = 180
104+13+y = 180
117+y=180
Subtract 117 from each side
y = 180-117
y = 63
