1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
vichka [17]
2 years ago
9

**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the rema

ining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Mathematics
1 answer:
malfutka [58]2 years ago
6 0

Answer:

$88.3

Step-by-step explanation:

Here 42% of annual health premium($5450)=*5450

                                                                     =$2289

This amount is being paid by the company means it is deducted amount in one year.

One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.

Deducted amount=

                              =$88.30

You might be interested in
Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
andrew-mc [135]

Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

Let the length and width of each pen be x and y respectively as shown in the figure.

As there are 3 pens, so, the total area,

A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

Here, for a significant area for the animals, x>0 as well as y>0 as x and y are the sides of ben.

From the given value:

6x+4y=90\;\cdots (ii)

\Rightarrow  y=\frac {45}{2}-\frac{3x}{2}

Now, from equation (i)

A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

\Rightarrow A=\frac{135}{2}x-\frac{9}{2}x^2\;\cdots (iii)

This is the required area function in the terms of variable x.

For the domain of area function, from equation (ii)

x=15-\frac{2y}{3}

\Rightarrow x [as y>0]

So, the domain of area function is (0,15m).

For the range of area function:

As x \rightarrow 0 or y\rightarrow 0, then A\rightarrow 0 [from equation (i)]

\Rightarrow A>0

Now, differentiate the area function with respect to x .

\frac {dA}{dx}=\frac{135}{2}-9x

Equate \frac {dA}{dx}  to zero to get the extremum point.

\frac {dA}{dx}=0

\Rightarrow \frac{135}{2}-9x=0

\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

4 0
3 years ago
suppose a printer can print 15/4 pages in 5/6 of a minute. which TWO statements are correct? A. the unit rate is 9/2 pages per m
Verizon [17]

Answer:

9/2

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Probability With a Pair of Dice: Find the probability of rolling the difference of 1.
ra1l [238]

Answer:

there are 10 possibilities out of 36, which is 27.8%, or a chance of 1 in 3.6

Step-by-step explanation:

5 0
3 years ago
Adam drafts his favorite thing tractor on the scale drawing. The drawing scale is 3 inches for each foot. If the drawing is 20 i
dimaraw [331]
I believe it's 6.7. Not too sure though.
3 0
2 years ago
Read 2 more answers
Pls help with this, I have a lot of work and I'm trying to get it done faster​
creativ13 [48]

Answer:

C = 3b

Step-by-step explanation:

If each bottle costs 3 dollars, then the cost of b bottles would be 3b.

5 0
3 years ago
Other questions:
  • Manuela tiene una colección de 66 cromos que quiere repartir en montones iguales sin que sobre ninguno. ¿Cuántos cromos puede te
    15·1 answer
  • 2x+8=7x-12 || -m/4+5=2 || 3x-8=-17 ||
    11·1 answer
  • Which number produces a rational number when multiplied by 0.4
    12·2 answers
  • 6x + 5y = 8xy<br>8x + 3y = 7xy​
    7·2 answers
  • Find x when y=6 in the literal equation 5x +4y =39
    8·2 answers
  • ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
    7·2 answers
  • A ball is launched out of a cannon that is 24 feet off the ground. The height of the ball after "t" seconds is represented by
    14·1 answer
  • John want to buy a pair of boots that originally cost $85.99 He found a coupon for %30 off what will he pay for the boots?
    7·2 answers
  • Sean wants to know what kind of metal a model soldier is made of. He decides to calculate its density. In order to calculate the
    10·2 answers
  • Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!