We are given : Rate for regular pay = $12 per hour.
Rate for over time = $12 and a half rate of $12, that is 12+ 12/2 =12+6= $18 per hour.
We need to find the total pay for 40 hours of regular time and 10 hours of overtime.
<em>Pay for 40 hours at the rate $12 per hour = 40 × 12 = $480.</em>
<em>Pay for 10 hours of overtime at the rate $18 per hour = 10 × 18 = $180. </em>
Total payment for 40 hours of regular time and 10 hours of overtime = 480 + 180=$660.
<h3>Therefore total pay or 40 hours of regular time and 10 hours of overtime is $660.</h3>
Answer:
c = -7
Step-by-step explanation:
0 = -x² + 4x - 7
Compare to
ax² + bx + c
a = -1 , b = 4 , c = -7
Area of square base:
13 x 13 = 169
Area of triangular sides:
B x H/2
13 x 16/2 = 104
104 x 4 = because there are 4 triangular sides of the figure = 416
416 + 169 = 585in^2
590in^2
Factor out the common term; 3
(3(x + 1))^2 = 36
Use the Multiplication Distributive Property; (xy)^a = x^ay^a
3^2(x + 1)^2 = 36
Simplify 3^2 to 9
9(x + 1)^2 = 36
Divide both sides by 9
(x + 1)^2 = 36/9
Simplify 36/9 to 4
(x + 1)^2 = 4
Take the square root of both sides
x + 1 = √4
Since 2 * 2 = 4, the square root of 2 is 2
x + 1 = 2
Break down the problem into these 2 equations
x + 1 = 2
x + 1 = -2
Solve the first equation; x + 1 = 2
x = 1
Solve the second equation; x + 1 = -2
x = -3
Collect all solutions;
<u>x = 1, -3</u>
