Answer: 8 hours
Step-by-step explanation:
The pay is for 2 weeks which means that she worked for 80 hours.
At 80 hours, the regular income she should make is:
= 80 * 13.15
= $1,052
The total she made from overtime is therefore:
= 1,209.84 - 1,052
= $157.84
When she works overtime, she gets paid at a rate of a time and half. This means she gets:
= 13.15 * 1.5
= $19.73
The hours of overtime she worked is therefore:
= 157.84/19.73
= 8 hours
Answer:
$5107.20
Step-by-step explanation:
His pay after he was caught once
133x 8=1064
1064x 20% = 212.8
1064-212.8=851.2
1064x 4= 4256
4256+ 851.2=5107.2
Answer:
b=9 and b=-21
Step-by-step explanation:
first step: move 195 to the other side by adding to get:
b^2+12b=189
now to find the constant you take the b value which is 12 divide that by 2 and square it. then add the product to both sides. 12/2=6, 6^2=36
b^2+12b+36=189+36
next factor b^2+12b+36.
(b+6)^2=225
square root both sides to get:
b+6=15 and b+6=-15
solve by subracting 6 to both sides and you get the 2 final answers.
b=9 and b=-21
Dividing Decimals is almost the same as dividing whole numbers, except you use the postition of the decimal point in the dividend to determine the decimal places on the result.
Answer:
<h2>a) y = 2 pi k</h2>
Step-by-step explanation:
Given the solution to the equation y to be cos⁻¹(1)
y = cos⁻¹(1)
y =0°
In trigonometry identity, the general solution for cosine function is expressed as θ = 2kπ ± n, where n is any integer.
Substituting the solution gotten to the equation above into the general formula θ = 2kπ ± n, will give;
y = 2kπ ± n
<u>since we have just one solution, we will find the value of y at n = 0</u>
y = 2kπ ± 0
y = 2kπ
