The information on earnings and deductions for the pay period ended December 14 from King Company's payroll records is as follows: Beginning
Cumulative
Name Gross Pay Earnings
Burgess, J. L. $410 $6,750
Clayton, M. E. 785 40,200
Drugden, T. F. 860 38,500
Lui, L. W. 990 39,700
Sparks, C. R. 4,094 115,700
Stevers, D. H. 850 6,810

For each employee, the Social Security tax is 6.2 percent of the first $118,500 and the employer's Social Security tax is 6.2 percent on the same earnings limit. The Medicare tax is 1.45 percent on all earnings. The federal unemployment tax rate is 0.6 percent of the first $7,000 of earnings of each employee. The state unemployment tax rate is 5.4 percent of the same base.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

we can set up an equation to find the girls' ages. the equation is         28=0.5x-5+x. (comment if you need me to explain how i got this equation.) so, you add x and 0.5x to get 1.5x and add 5 to each side. your new equation is 33=1.5x. now divide both sides of the equation by 1.5 to get 22=x. because x is mary's age, to find jasmine's age we subtract mary's age from 28. we find that mary is 22 years old and jasmine is 6 years old.