I do questions like these a little different than most people so...
384/12= 32 (32 is 1% of his sales)
32*100= 3200
His total sales were $3200.
Step-by-step explanation:
27^x = 9^(x - 4)
3^3x = 3^2(x - 4)
3x = 2(x - 4)
3x = 2x - 8
3x - 2x = -8
x = -8
You know from the y-intercept that the equation will have a +y^2/12 term in it. Then for y=6, you have
.. 6^2/12 -x^2/b = 1
.. 2 = x^2/b
.. b = x^2/2
If your point is (2√3, 6), then this is
.. b = (2√3)^2/2 = 12/2 = 6
Then the hyperbola's equation is
.. y^2/12 -x^2/6 = 1 . . . . . . . . selection D
Answer:
23/63
Step-by-step explanation:
1 and 2/3 can also be writen as 5/3
4 and 1/5 can also be written as 21/5
5/3 divided by 21/5 can be rewritten as 5/3 multiplied by 5/21
multiply the numerators (top numbers) for the numerator of the answer
5 x 5 = 25
multiply the denominators (bottom numbers) for the denominator of the answer
3 x 21 = 63
put the numerator and denominator together as the fraction 25/63
25 and 63 share no common factors, so the fraction cannot be further simplified
Apply the concept of differential calculus. Tofind the maxima or minima if you are only given the equation, differentiate the equation and equate to zero.
<span>h=−16t</span>²<span>+96t+4
dh/dt = 0 = -32t + 96
Solving for t,
t = 3
Now, substitute t=3 to the original equation
h = -16(3)</span>² + 96(3) + 4
<em>h = 148 ft</em>