This can be done easily in a few ways. One, you could do equivelent fractions as this. 16 percent is the same as 16 over 100, or, 16/100, 100 being the total with an = sign with X over 550, or, X/550. you can multiply 16 by 500 and divide by 100 to get $88. Or you could do it my way, (prefered way). take the $550, divide it by 100, then multiply by 16 and get $88. either way you do this, you take away the $88 from $550 and get the sale price of [Drumroll please...]
<em><u>462 Dollars!</u></em>
4y=-21+5
4y=-16
y=4
simplified
Answer:
13th term
Step-by-step explanation:
41 = 7n - 50
41 + 50 = 7n
91 = 7n
7n = 91
n = 91/7
n = 13
13th term has value 41
Answer:
(a) The average value of the given function is 12/π
(b) c = 1.238 or 2.808
Step-by-step explanation:
The average value of a function on a given interval [a, b] is given as
f(c) = (1/(b - a))∫f(x)dx;
from x = b to a
Now, given the function
f(x) = 6sin(x) - 3sin(2x), on [0, π]
The average value of the function is
1/(π-0) ∫(6sinx - 3sin2x)dx
from x = 0 to π
= (1/π) [-6cosx + (3/2)cos2x]
from 0 to π
= (1/π) [-6cosπ + (3/2)cos 2π - (-6cos0 + (3/2)cos0)]
= (1/π)(6 + (3/2) - (-6 + 3/2) )
= (1/π)(12) = 12/π
f(c) = 12/π
b) if f_(ave) = f(c), then
6sinx - 3sin2x = 12/π
2sinx - sin2x = 4/π
But sin2x = 2sinxcosx, so
2sinx - 2sinxcosx = 4/π
sinx - sinxcosx = 2/π
sinx(1 - cosx) = 2/π
This equation can only be estimated to be x = 1.238 or 2.808
