1. A-Tunes requires a membership fee of $12 a month and $1 for each download.
Bapstar requires a membership fee of $5 a month but charges $1.50 for each
download. When do the charges for the two companies equal each other?

After 16 downloads the charges will equal each other.

First set up an equation

x = Downloads

12 + 1x = 5 + 1.5x

Solve

12 + 1x = 5 + 1.5x <- Rewrite your equation

-5          -5            <- Subtract 5 from both sides

 8 + 1x = 1.5x       <- Simplify

      -1x    -1x         <- Subtract 1 from both sides

        8 = 0.5x      <- Simplify

        8 = 1/2x       <- Convert 0.5 to a fraction to make the next step easier

       16 = x            <- Multiply both sides by 2 to divide by

                                 a fraction

b. 24 mm

step-by-step explanation:

use the pythagorean theorem.

a^2 + b^2 = c^2

a^2 + 7^2 = 25^2

a^2 + 49 = 625

a^2 = 576

a = 24

answer: b. 24 mm

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.