Answer:
29 cm
Step-by-step explanation:
The central triangle is isosceles, so the length if its right side (x) is the same as the length of its left side (29 cm).
x = 29 cm
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
To begin, we will replace f(x) with y, since they mean the same thing, except y does not represent function notation. We will put it back when we're done.
The rules for finding an inverse function algebraically is to switch the x and the y, then solve for the new y. Our function then becomes, with the variables switched:
Begin to isolate the new y by subtracting 2 from both sides:
Now multiply both sides by 3:
3(x - 2) = y and
3x - 6 = y
That's the inverse, so now we will put it back into function notation:
The formula is
Net price= list price-trade discount
List price 475
Trade discount=list price×trade discount rate
Trade discount=475×0.15=71.25
Net price=475−71.25=403.75
But your options are in different way
To find The net price after the trade discount is 85% (100%-15%)
So the correct setup to find net price is C. Net Price = $475 * 85%
Net price=475×0.85=403.75
<span>a5= 48 and a11= 3,072
Write out the formula for a geometric sequence: a_n = a_1*r^(n-1), with n
beginning at 1.
Then, using the given info:
a_5 = 48 is equivalent to a_48 = a_1*r^(5-1), or a_48 = a_1*r^4 = 48
a_11 = 3072 is equivalent to 3072 = a_1*r^10 = a_1*r^4*r^6 = 3072
Solving </span>a_1*r^4 = 48 for a_1, we get 48 / r^4. Substitute this into the second equation to eliminate a_1:
a_1*r^4*r^6 = 3072 => (48 / r^4)*r^10 = 3072. Then 48*r^6 = 3072, and
r^6 = 3072 / 48 = 64. Thus, r = 6th root of 64 = 2
Now we must solve for a_1. Recall that 48 = a_1*r^4 and subst. 2 for r:
48 = a_1*2^4 => 48 = a_1*16. Then a_1 = 3.
The first term is 3 and the common ratio is 2.
