The selling price of x number of a certain stereo can be modeled by the function r(x) = 160x. the total cost of making x stereos is c(x) = 71x – 0.02x2. what is the percent markup for 31 stereos? 23% 127% 227% 278%

127% markup

Step-by-step explanation:

So we need to plug in 31 into each

R(31)=160(31)=4960

C(31)=71(31)-.02(31)^2=2181.78

So the selling price is 4960 for 31 stereos.

The total cost for making 31 stereos is 2181.78.

So that is a markup for sure.

So you find the difference and then divide it by the total cost.

(4960-2181.78)/2181.78=1.27 approximately

so there is 127% markup

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204