If total employee benefits are calculated as a percentage of their gross pay whitch of the following employees receive the largest percentage of their gross pay in employee benefits

Using exponential functions, it is found that:

a) Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

b) The patient could have ingest 231 milligrams of caffeine.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

In this problem:

Then:

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]A(t) = A(0)(1 - 0.13)^t[/tex]

[tex]A(t) = A(0)(0.87)^t[/tex]

Item a:

The coffee cup contains 150 milligrams of caffeine, hence [tex]A(0) = 150[/tex].

At 6 a.m., it is 8 hours after drinking the coffee, hence we have to find A(8).

[tex]A(t) = A(0)(0.87)^t[/tex]

[tex]A(8) = 150(0.87)^8[/tex]

[tex]A(8) = 49.2[/tex]

Since the amount of caffeine will be less than 50 mg, the patient will be ready for the blood test by 6 a.m.

Item b:

This A(0), considering A(11) = 50, hence:

[tex]50 = A(0)(0.87)^{11}[/tex]

[tex]A(0) = \frac{50}{(0.87)^{11}}[/tex]

[tex]A(0) = 231[/tex]

The patient could have ingest 231 milligrams of caffeine.

A similar problem is given at https://brainly.com/question/25537936

Answer:

E=118

K=50

Step-by-step explanation:

I=E

E=118

K=360-118-118-74 (sum of angles in quad)

K=50

Answer:

D

Step-by-step explanation:

To solve this, we can go through each answer and see if it is correct.

A)

|–125| < |45|

When comparing absolute values, and the absolute value signs (the | lines) are only around one number, we can ignore the negative. Thus, we have

125 < 45

125 is greater than 45, so this is false

B)

|–98.5| < |23.7|

98.5 < 23.7

98.5 is greater than 23.7, so this is false

C)

|–174.6| > |204|

174.6 > 204

174.6 is less than 204, so this is false

D)

|–362.5| > |45.8|

362.5 > 45.8

362.5 is greater than 45.8, so this is true

Answer:

Step-by-step explanation:

Option A

(-2)(-49)

=2×49

=98

Option B

(4)(-27)

=-108

Option C

(-7)(14)

=-98

Option D

(-9)(11)

=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!

Answer: 40

Step-by-step explanation: if 8 stops complete 20% of the map 100% is 5 times that so 8x5 is 40 so 40 stops in total

The total number of stops in her trip is 40.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Amy has just completed stop 8 and the map shows she is 20% complete.

let the total number of stops be x

So, 20% of x = 8

20/100x= 8

1/5x = 8

x= 40

Hence, the total number of stops in her trip is 40.

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

Step-by-step explanation:

6 > 4x - 5

Bringing like terms on one side

6 + 5 > 4x

11 > 4x

11/4 > x

Option none is the correct answer

Answer:

I think its. u must check with calculator

Answer:

see explanation

Step-by-step explanation:

the translation rule (x, y ) → (2x, [tex]\frac{1}{3}[/tex] y )

means multiply the x- coordinate by 2 and multiply the y- coordinate by [tex]\frac{1}{3}[/tex] ), so

A (- 1, - 3 ) → A' (- 2, - 1 )

B (4, - 3 ) → B' (8, - 1 )

C (4, 3 ) → C' (8, 1 )

D (- 1, 3 ) → D' (- 2, 1 )

The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)

Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.

p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.

Therefore, the 4 consecutive even integers is represented as follows;

p, p + 2, p + 4, p + 6

So the sum is equal to:

sum = p + p + 2 + p + 4 + p + 6

sum = 4p + 12

sum = 4(p + 3)

learn more on even numbers here: https://brainly.com/question/21514478?referrer=searchResults

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

[tex]h(t) = -6t^2 + 13t + 5[/tex]

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

[tex]-6t^2 + 13t + 5 = 0[/tex]

Expand the expression

[tex]-6t^2 + 15t- 2t + 5 = 0[/tex]

Factorize the above expression

[tex]-3t(2t - 5)- 1(2t - 5 )= 0[/tex]

Factor out 2t - 5 in the 2t - 5

[tex](-3t - 1)(2t - 5 )= 0[/tex]

Split the equation into 2

[tex]-3t - 1 = 0\ or\ 2t - 5= 0[/tex]

Rewrite as:

[tex]-3t = 1\ or\ 2t = 5[/tex]

Solve for t

[tex]t = -\frac 13\ or\ t = \frac 52[/tex]

The value of t cannot be less than 0 i.e. negative.

So, we have

[tex]t = \frac 52[/tex]

Divide 5 by 2

[tex]t = 2.5[/tex]

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

https://brainly.com/question/11631534

Answer:

x=10

z=2

y=5

Step-by-step explanation:

since they are equal, set the sides up as equal to one another and use pemdas to solve.

EX; x+15=2x+5

     -x        -x

15=x+5

-5     -5

10=x

[tex]\text{Area of triangle} = \dfrac 12 \times PQ \times QR \times \sin \angle PQR \\\\\\\implies 273= \dfrac 12 \times 12.8 \times QR \times \sin 107^{\circ}\\\\\implies 273 = 6.4 \sin 107^{\circ} \times QR\\\\\\\implies QR = \dfrac{273}{6.4 \sin 107^{\circ}} = 44. 606~~ \text{cm}[/tex]

Answer:

A' (4,4)  B' (0,0)  C' (4,0)

Step-by-step explanation:

A (3,2)  B (1,0)  C (3,0)

Translated left 1 unit: A'' (2,2)  B'' (0,0)  C'' (2,0)

dilated about origin (0,0) by scale factor of 2: A' (4,4)  B' (0,0)  C' (4,0)

Answer: y = 115 and x = 78

Step-by-step explanation:

y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x  

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Answer:

C

Step-by-step explanation:

C has 2 negative 2's on it, and 2 numbers on the x side cannot be the same.

Answer:

C

Step-by-step explanation:

If your x Collum has more than one of the same numbers so in this case -2 is there twice it's not a function

X       1        1             2                   3      4

________________________________________________________      

Y      0       3              4              2           6  

this would not be a function because the one is at two different heights.

if you think of every number as a person and the y axis as height. two different people can be the same height but one person cannot be two different heights at the same time. if it's on a graph use the vertical line test take a vertical edge of a paper and run it across the graph if the edge of paper goes through more than one point it's not a function

Answer:

First, round $19.83 to make the mental math easier.  Then round the tip as well.  Then you can easily multiply the two rounded numbers to find the value.

Step-by-step explanation:

Answer:

23 - 6x

Step-by-step explanation:

2(3x+4) - 3(4x-5)

6x + 8 - 12x +15 (distributing)

23 - 6x (combining like terms)

Answer:

I think d is the answer......

Answer: This question is not right

Step-by-step explanation:

What you have asked is how much should the numbers go up on a graph so it all fits on the graph and can be understood.

1st we need to know what data if your numbers were 5 15 20 25 25 20 15 an appropriate interval would be by 5's however if your data was 100 500 1100 800

There would be no way you could fit it on a graph if you went up by five. A better interval would be 100's

Based on my response I hope you can see that in order to find appropriate interval to graph the data we need the data and that you now see what to do or can update the question

Answer: A lot

Step-by-step explanation: I can't count how many

Answer:

B) -3.2

Step-by-step explanation:

-16/5 = -15/5 - 1/5 = -3 - 0.2 = -3.2

Answer:

50-50 chance I suppose (1/2 or 5/10) or 40% to 60% percent chance

Step-by-step explanation:

He can guess all of the questions and get all of them right, and it is a possibility that he can also get all of them wrong. So I say, 50-50. I can't lie, I'm having trouble with probability as we speak.

Answer:b is the answer

Step-by-step explanation:

Answer: (-1/2)^3

-0.125

Step-by-step explanation:

-.125 or 5/40. zzzzzzzzzzzzzzzzz

Answer:

y = -2x + 30

Step-by-step explanation:

Firstly, choose 2 coordinates ( I chose [1,28] and [2,,26] ) next use y2-y1/x2-x1 to find your slope, in this case it is -2. Next, take two points and plug them into your equation with your slope to find your b, for this case the b is 30. Put it all together and you get y = -2x + 30

Brainliest would be appreciated. :-)

I don't understand the question your asking