Nora was offered a job that paid a salary of
$
40
,
000
$40,000 in its first year. The salary was set to increase by 3% per year every year. If Nora worked at the job for 21 years, what was the total amount of money earned over the 21 years, to the nearest whole number?

Answer:

n= -2/7 i= 3 4/7

Step-by-step explanation:

i=3-2n

2(3-2n)-3n=8

6-4n-3n=8

6-7n=8

6-8=7n

-2=7n

-2/7=n

=3-2(-2/7)

3+4/7

i=3 4/7

Answer:

Step-by-step explanation:

The equation is

Salary = 11 * x              Where x is the number of hours.

salary = 143

hours = 11

x = ?

143  = 11x                     Divide both sides by 11

143/11 = 11x/11

13 = x

So to get 143 he works for 13 dollars / hour

salary = 13 * x

salary = 91

13 x = 91

13x/13 = 91/13

x = 7

He must work 7 hours to get 91 dollars.

Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar

Given:

To Find:

Solution:

We can solve this question using two methods Unitary Method and Method of proportion.

Unitary Method -

For $143 he work 11 hours

For $1 he work [tex]\dfrac{11}{143}[/tex] hrs

For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs

= 7 hours

He must work 7 hours to get $91.

[tex] \ {\rule{50mm}{3pt}}[/tex]

Method of proportion -

He work 'x' hours for $91. (x as no. of hrs)

[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]

143 : 91 :: 11 : x

Product of mean = Product of extreme

143 × x = 91 × 11

→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs

He must work 7 hours to get $91.

[tex] \ {\rule{90mm}{3pt}}[/tex]

Answer:

100

Step-by-step explanation:

(n-m) = (7+3)

7+3 = 10

10 x 10 = 100

Answer:

Solve for x

by simplifying both sides of the equation, then isolating the variable. x=ordw

Step-by-step explanation:

or it could be word

Answer:

x=57

Step-by-step explanation:

I think i already answered this question, but i will rewrite it again! since the angles 'x' and '2x+9' add up to become a supplement angle or a straight line.

We can establish the relation which says that the sum of these two angles is equal to 180.

[tex]x + 2x + 9 = 180[/tex]

[tex]3x + 9 = 180[/tex]

[tex]3x = 180 - 9[/tex]

[tex]3x = 171[/tex]

[tex]x = \frac{171}{3} = 57[/tex]

The figure shown would represent a parallelogram if opposite sides are parallel and congruent

It is true that the figure is a parallelogram

The coordinates of the figure are given as:

O = (0,0)

P = (a,b)

S = (a + c,b)

T = (c,0)

Vertices O and T are on the same horizontal level, because they have the same y-coordinate

The above is also applicable to vertices P and S

By observation, we have the following distances:

PS = c

OT = c

This means that the opposite sides are parallel and congruent

Hence, the figure is a parallelogram

Read more about parallelograms at:

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Answer:

24 monkeys are in the tree

Step-by-step explanation:

We solve it by writing [tex]\frac{60}{100}[/tex] times [tex]\frac{40}{1}[/tex]

Why is it over 100? Because every percent is out of 100!

[tex]\frac{60}{100}[/tex] X [tex]\frac{40}{1}[/tex] (your equation)

60 times 40 = 2400 and 100 times 1 = 100, We get, [tex]\frac{2400}{100}[/tex],

Lastly, we simplify the fraction by 100 on each side:

[tex]\frac{2400}{100}[/tex] / [tex]\frac{100}{100}[/tex]

you get 24

Answer:

the answer is (2,6)

Step-by-step explanation:

Answer:

The answer is "20".

Step-by-step explanation:

Given value:

[tex]\to Z_{critical}= 1.96\\\\\to {StdDev} = standard\ deviation = 50 \\\\\to n= 25\\\\[/tex]

formula:

[tex]\bold{Margin error}= Z_{critical} \times \frac{\text{StdDev}}{\sqrt{n}}\\[/tex]

                       [tex]= 1.96 \times \frac{ 50 }{\sqrt{25}}\\\\= 1.96 \times \frac{ 50 }{\sqrt{5 \times 5}}\\\\= 1.96 \times \frac{ 50 }{{5}}\\\\= 1.96 \times 10 \\\\= 19.6 \\\\= 20[/tex]

Answer:

3. 2 6 30          6. 8:5

   3 9 45

Step-by-step explanation:

[tex]\longrightarrow \textsf{The unit of density is\;} [/tex][tex]\sf kg/m^3[/tex]

[tex]\green{ \underline { \boxed{ \sf{Density = \frac{Mass}{Volume}}}}}[/tex]

[tex]\longrightarrow[/tex]The unit of mass is kg and unit of Volume is m³ . Since density is division of mass by volume , the corresponding units will also get divided and unit of density would come out to be kg/m³

Some basic derived Units :-

Answer:

80.56%

Step-by-step explanation:

divide 36 by 29 and you get 0.8055555555. Change that into a percent to get 80.56%

1

2*(x+1)*(x-1)*(3x+2)

hope this helps

Answer:

The equation of a line is given by y = mx + c; where m is the slope.

The given equation is y = 5/4 x - 7/4.

Therefore, the slope is 5/4.

Answer:

Whats the question?

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

Calculate the product

Any expression multiplied by 0 equales 0

Solution

X = 0

Hope this helps!

Answer:

a=21060[tex]in^{3}[/tex]

Step-by-step explanation:

A= B*W*H

A=36*39*15

A=1404*15

A=21060

The number of terms in the given arithmetic sequence is 27 so option (C) will be correct.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2

Given the AP;

- 92,- 88, -84, ...,12.

First term (a) = -92

Common difference(d) = -88 + 92 = 4

The nth term or last term = 12

Nth term is given as ;

⇒ a + (n - 1)d

12 = -92 + (n - 1)4

n - 1 = 26

n = 27

Hence "The number of terms in the given arithmetic sequence is 27".

For more about Arithmetic progression

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#SPJ2

Answer:

65 degrees

Step-by-step explanation:

corresponding angles

Answer:

The answer is Math. M a t h

Step-by-step explanation:

Good luck!

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Parallel lines have the same slope but different y-intercepts

Perpendicular lines have the negative reciprocal slope.

Answer:

70 m^2

Step-by-step explanation:

I did this quickly, so please check the numbers.

Divide the figure into 3 recdtangles and one triangle.  Calculate the area of each and take the sum.

I realize after looking at the image that one could have made only two rectangles and gotten the same result.

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

Given

Use the algebra tiles to model x + 1.

Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.

Using algebra tiles provides a more visual way for us to solve our problems.

The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.

To know more about algerbra tiles click the link given below.

brainly.com/question/81876

Answer:

D

Step-by-step explanation:

Divide the two equations using polynomial division and you will get your answer.

Hope this helps

Answer:

By killing all but one of his family members

Answer:

38 square feet

Step-by-step explanation:

How do we find the area of a circle?

  ❖ The area of a circle is πr², where r = radius. For this case, we're going

       to approximate pi as 3.14.

How do we find the radius given diameter?

  ❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter

       is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5

       feet.

Solving

Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

5 months

Step-by-step explanation:

Create an Equation:

m=months

Joe- 40m

Mike- 20m +100

Make each equation equivalent:

40m=20m+100

Solve:

40m-20m=100

20m=100

m=5

If you plug it back in, the equation is satisfied:

40(5)=20(5)+100

200=100+100

200=200

The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.

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

The height of the dilated pyramid = 144 m - 96 m = 48 m

Scale factor of dilation = 48 m / 144 m = 1/3

The side length of dilated pyramid = (1/3) * 231 m = 77 m

The scale factor used to create the cross section is 1/3. The cross section has a base side length of 77 meters.

Find out more on equation at: https://brainly.com/question/2972832