A salesman who makes $32,500 a year gets promoted to sales manager, earning a new salary of $43,250. What was the rate of increase for the salesman?

33.1%

Step-by-step explanation:

First, calculate the dollar amount of the increase.  Subtract $32,500 from $43,250.  We get $10,750.

Next, divide this $10,750 by the original salary, $32,500, to determine what fraction of $32,500 is represented by $10,750:

fraction = $10,750/$32.500 = 0.331

Convert this to a percentage by multiplication by 100%:  33.1%

The rate of increase of the saleperson's salary was 33.1%.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.