<span>Let us start with the percentage of premium paid by Javier. Since the employer pays 43%, the remaining 57% (100-43) is paid by Javier. Now let us find out how much is deducted from his paychecks during the year. In one month, $157.38 x 2 = $314 .76 is deducted by the employer. So in 12 months, the amount equal to 57% of the health premium will be $314.76 x 12 = $3777.12.
If $ 3777.12 is 57% of a certain number, to find the number, multiply $3777.12 with the reciprocal of the fraction. (57/100)
So the unknown number = $3777.12 * 100/57 = $6626.53
Javier's total annual health premium, therefore, is $6626.53</span>
Answer:
V =113.04
Step-by-step explanation:
A sphere has a surface area of 113.04
SA = 4 pi r^2
113.04 = 4 pi r^2
Let pi 3.14
113.04 = 4 *(3.14) r^2
113.04 = 12.56 r^2
Divide each side by 12.56
113.04/12.56 = r^2
9 = r^2
Take the square root of each side
3 =r
We want to find the volume
V = 4/3 pi r^3
V = 4/3 (3.14) 3^3
V =113.04
Answer:
f(2) = 12
f(x) = 7, x = -3, 1
Step-by-step explanation:
<u>a)</u>
plug in x as 2
f(x) = 2^2 + 2(2) + 4
f(x) = 4 + 4 + 4
f(x) = 12
<u>b)</u>
replace f(x) with 7
7 = x^2 + 2x + 4
x^2 + 2x - 3 (move 7 to other side)
Factor
ac: -3x^2
b: 2x
split b into 3x, -x
(x^2 -x) + (3x - 3)
↓ ↓
x(x-1) + 3(x-1)
Factor: (x-1)(x+3) = 0
Solve using Zero Product Property:
x - 1 = 0, x + 3 = 0
x = 1, x = -3
Answer:
Las Vegas
Step-by-step explanation:
Answer:
The value of x for the given expression is
Step-by-step explanation:
Given as :
<u>The expression is written </u>
3
- 1
× x = 1
Or, 1
× x = 3
- 1
Or,
× x =
- 1
Or,
× x =
- 1
Or,
× x = 
Or,
× x = 
∴ x = 
Or, x = 
I.e x = 
So, The value of x = 
Hence The value of x for the given expression is
Answer