3. A city of 100,000 is having pollution problems and is decreasing in size 2% annually (every year). Find the population
of this city in 100 years.

Answer:

[tex]f(x)=\sqrt[3]{x} \\a=5[/tex]

Step-by-step explanation:

[tex]f(x)=\sqrt[3]{x} \\a=5[/tex]

The cost would be at least $755.1302 to build the deck.

The deck is in the shape of a rectangle. Therefore,

where

l = length

w = width

length = 9.4 ft

width = 6.7 ft

area = 9.4 × 6.7 = 62.98 ft²

Therefore,

1 ft² of lumber = $11.99

62.98 ft² of lumber = ?

cross multiply

cost = 62.98 × 11.99 = $755.1302

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This question discusses Payroll Administration and Management.

Please note that based on the information provided, the weekly gross is K 6,860 the Net Pay is K 4,957  while the monthly Net Pay is K19,828.00.

Payroll Administration and Management is the activity involved in making sure that the compensation and benefits of the employee for the period that they have spent working are well organized, computed, and administered.

The steps to the solution is given below:

1) Note that the information given above is for one week.

The rate per hour is: K125/Hour.

The rate for overtime is 1.5 of the normal rate

Performance Bonus is K45 for every 50 units.

Given the above, the gross pay for the week is:

Normal Pay + Overtime Pay + Performance Bonus Pay.

a) Normal Pay is given as 125 * 40 = K5,000

b) Overtime Pay is given as (125*1.5) * 8 = K 1,500

c) Performance bonus is given as 45 * (400/50) = K360

d) Total Gross therefore is given as 5,000 + 1,500 + 360 = K 6,860

If gross pay is $6,860, Net Pay is calculated by removing deductions.

Deductions are:

Pension fund = 7.5% of K 6,869 = K 514.5

PAYE Tax = 20% of (95% of 6,869) = K 1,310.24 This is because medical aid is non-taxable.

Employee Insurance = 1% of K 6,860= K 68.6

Union Membership = K 10

The Total Deduction, thus, is = 514.5 + 1,310.24 + 68.6 +10 = K 1,903.34

The Net pay =  Gross Pay Less Deductibles

= 6,860 - 1,903

Thus The Net pay = K 4,957 /Week.

Therefore, his monthly net wage will be:

4, 957* 4 = K19,828.00/Month

B) The kind of remuneration method used by company XYZ is

Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.

It is normally used for workers who are engaged in highly skilled jobs or highly skilled services, for example, equipment testing, inspection of operations, toolmaking, etc.

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Answer:

The First one is an Octagon, the second is a Pentagon

Step-by-step explanation:

An Octagon has 8 sides, Octo also means eight. A pentagon has 5 sides, Penta means Five.

Answer:

part A:

[tex]\sf AB^2 = (-2-1)^2 + (1+3)^2[/tex]

[tex]\sf AB^2 =25[/tex]

[tex]\sf AB =5[/tex]

[tex]\sf AC^2 = (2-1)^2 + (4+3)^2[/tex]

[tex]\sf AC^2 = 50[/tex]

[tex]\sf AC = \sqrt{50}[/tex]

[tex]\sf AC = 5\sqrt{2}[/tex]

[tex]\sf BC^2 = (2--2)^2 + (4-1)^2[/tex]

[tex]\sf BC^2 = 25[/tex]

[tex]\sf BC = 5[/tex]

use the formula:

short side² + short side² = long side²

( 5√2 )² + 5² = ( 5√2 )²

75 = 50

It's isosceles

[tex]\\ \rm\hookrightarrow AB=\sqrt{(-2-1)^2+(1+3)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

[tex]\\ \rm\hookrightarrow BC=\sqrt{(2+2)^2+(4-1)^2}=\sqrt{16+9}=5[/tex]

[tex]\\ \rm\hookrightarrow AC=\sqrt{(4+3)^2+(2-1)^2}=\sqrt{50}[/tex]

Its isosceles

Answer
A(-2,3)

Step-by-step explanation:

-4 6 are the actual coords, and then we do 1/2 so divide it by 2 -4/2 6/2 and u get the answer A

Answer:

A. (-2,3)

Step-by-step explanation:

Rectangle ABCD is dilated by a scale factor of 1/2.

Scale factor of k with a center of dilation at the origin:

[tex](x,y)[/tex] → [tex](kx,ky)[/tex]

It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, then:

[tex](\frac{1}{2}x,\frac{1}{2}y)[/tex]

The coordinates of B are (-4,6). So, the coordinates of B:

[tex]B(-4,6)[/tex] → [tex]B(\frac{1}{2}(-4),\frac{1}{2}(6)[/tex]

[tex]B(-4,6)[/tex] → [tex]B(-2,3)[/tex]

The coordinates of B →  (-2/3)

Hence, -2/3 is the correct answer.

[RevyBreeze]

Answer:

x = 2/3

Step-by-step explanation:

Since it's a parallelogram, the bisected parts of the diagonal must be equal

So 6x must equal 3x + 2:

-Chetan K

Step-by-step explanation:

substitute y into x

3(2y-1)+y=11

6y-3+y=11

add like terms

6y+y-3-11=0

7y-14=0

look for a common factor

7(y-2)=0

y-2=0

therefore y=0 or y=2

find x

if x=2y-1

x=2(0)-1

x=-1

if x=2y-1

x=2(2)-1

x=3

therefore (-1;0) and (3;2)

The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation:

-16 * 10⁶ˣ = -80

Dividing both sides by -16:

10⁶ˣ = 5

Taking ln of both sides:

6xln(10) = ln(5)

Finding the value of x:

x = 0.116

The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.

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Answer:

it is too hard bro

Step-by-step explanation:

sry I can't give

Answer:

Which company charges $80 for a lawn that is 10 acres?

Company B

Step-by-step explanation:

I got the question wrong for you

Answer: B

Step-by-step explanation:

Setting the equations equal to each other,

-5x-8 = 4x+1

-8 = 9x + 1

-9 = 9x

x = -1, meaning y=-5(-1)-8 = -3.

Answer: The slope is -11/-12

Step-by-step explanations

y2-y1/x2-x1 is the formula to find slope

Answer:

2

Step-by-step explanation:

use the set up y2-y1/x2-x1

17=x1

11=y1

5=x2

0=y2

Answer:

Area is easy, just do 9.68*6.2 which = 60.02 (Rounded to the nearest hundreth)

Step-by-step explanation:

For how many tiles we need

60.02 m is the area of the room, each tile would be 22cmx10cm

There are 100 cm in 1 m

What we can do is find the area of the tiles

22x10 which is 220 CM

220CM is 2.2M

Now that we know the area of the tile is 2.2M we can do 60.02/2.2

Which would be 27.28 tiles (Rounding to the nearest hundreth)

Answer: 2nd and 4th set

Step-by-step explanation:

1st set has no solution because the left side of the second equation is that of the first equation divided by 3, but the right side is not.

2nd set has 1 solution because it is the set of 2 lines with different slopes and y-intercepts.

3rd set has infinitely many solutions because multiplying the top equation by 1/3 gives you the bottom equation.

4th set has only solution for the same reason as 2nd set.

5th set has no solution because the two lines are parallel, but have different y intercepts, meaning they never intersect.

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Answer:

1/8

Step-by-step explanation:

Convert to fraction

6:48 is 6/48 as a fraction. Now simplify.

1. Find the GCD (or HCF) of numerator and denominator

GCD of 6 and 48 is 6

Divide both the numerator and denominator by the GCD

6 ÷ 6/

48 ÷ 6

Reduced fraction:

1/8

Therefore, 6/48 simplified to lowest terms is 1/8.

Answer:

It means that the equation has no solution

Step-by-step explanation:

Check the picture below.

Answer:

180 degrees

Step-by-step explanation:

The triangle ABC is rotated by 180 degrees.

A triangle in geometry is a three-sided polygon with three edges and three vertices.

As per the given data:

We are given the diagram of a triangle on a graph and the diagram of its image after rotation also.

We have to find out that by what degrees the triangle ABC is rotated about the origin counterclockwise.

Furthermore, we can clearly see that the shape of the triangle is flipped about the origin, hence we can easily understand that the triangle is rotated by 180 degrees only, because if it's rotated by any other angle than 180 degrees it will not look like it's flipped rather it would look like unsymmetrical transformation about the origin.

The triangle ABC is rotated by 180 degrees.

Hence, The triangle ABC is rotated by 180 degrees.

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The situation can be represented by expression 3x + 5y = 900

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the number of cookies and y represent the number of cake slice.

The class wants to raise $900.Hence:

3x + 5y = 900

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Answer:

3

Step-by-step explanation:

(7 - 4) * (3 - 2) = 3

Answer:

x </= (24000-3300)/60 or x </= 345

Answer:

D) x = 12

Step-by-step explanation:

we can change 5/2 to 10/4 and now have:

10/4x-7 = 3/4x + 14

we can subtract 3/4x from each side:

7/4x-7 = 14

add 7 to each side:

7/4x = 21

multiply each side by 4/7:

x = 84/7

x = 12

Answer:

g'(n) = 3n(6 + 7n)

Step-by-step explanation:

g(n) = 9n² + 7n³

g'(n) = 18n + 21n²

g'(n) = 3n(6 + 7n)

»g(n) = 9n² + 7n³

»g'(n) = 9(2)n + 7(3)n²

»g'(n) = 18n + 21n²✅

Answer:

Divide 4.50 by 5 to find the unit rate for the 5 pound per bag, and compare that number to 0.80 per pound.

Answer:

3x+1

Step-by-step explanation:

you first have x(your unknown variable)

Then you multiply x by 3 to get 33x you write it like this because 3×x would be confusing.

After you have 3x you then need to add 1 and therefore your new equation is 3x+1

Answer

C.      .20 or 20%

Explanation

The table is

2 drinks $4.50

Entree $13.50

Entree $16.00

2 desserts $11.00

Total $45.00

9/45=20%