Answer:
B
Step-by-step explanation:
From annual salary of 42,600, we have to subtract the following percentages:
<u>Social Security:</u>
0.062 * 42,600 = 2641.2
<u>Medicare:</u>
0.014 * 42,600 = 596.4
<u>State Income Tax:</u>
0.03 * 42,600 = 1278
<u>Federal Income Tax:</u>
0.13 * 42,600 = 5538
<u>Total Deductions</u> (from percentages) = 2641.2 + 596.4 + 1278 + 5538 = 10053.6
Now, remaining salary:
42,600 - 10053.6 = 32546.4 (annual)
Divided by 12 to get monthly:
32546.4 / 12 = 2712.2 (monthly)
Now, monthly deductions are:
260 + 280 = 540
<u>Net Salary:</u> 2712.2 - 540 =2172.2
10/7 which equals 1 and 3/7
Answer:
x = π/2 + πk
Step-by-step explanation:
cot² x csc² x + 2 csc² x − cot² x = 2
Multiply both sides by sin² x:
cot² x + 2 − cos² x = 2 sin² x
Add cos² x to both sides:
cot² x + 2 = 2 sin² x + cos² x
Pythagorean identity:
cot² x + 2 = sin² x + 1
Subtract 1 from both sides:
cot² x + 1 = sin² x
Pythagorean identity:
csc² x = sin² x
Multiply both sides by sin² x:
1 = sin⁴ x
Take the fourth root:
sin x = ±1
Solve for x:
x = π/2 + 2πk, 3π/2 + 2πk
Which simplifies to:
x = π/2 + πk
Answer:
∠A = 84°
Step-by-step explanation:
Since AB and AC are tangent to the circle, ∠ABK = 90° and ∠ACK = 90°.
Angles of a quadrilateral add up to 360°, so:
∠A + 90° + 90° + 96° = 360°
∠A = 84°
<span>Alternative</span>
4(3*5+7)+3(2*5+5)=
4(22)+3(15)=
(4*22)+(3*15)=
88+45=133
