Justine earned a total lifetime income of
$1,050,000 as a flight attendant. Her sister
Abigail earned a total lifetime income of
$4,800,000 as an attorney. If each sister worked
for 30 years, how much greater was Abigail's
annual salary than Justine's?

9514 1404 393

Answer:

  40 square units

Step-by-step explanation:

The area can be considered as that of two trapezoids, a rectangle, and a triangle. The total area is the sum of the areas of these.

Draw two horizontal lines, one beginning at the left-most point, and another 2 units below that. Draw a vertical line segment extending the vertical line at the top down to the first horizontal line. Now the figure is divided as described above.

The upper left trapezoid has bases of 3 and 5, and a height of 4. Its area is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(3 +5)(4) = 16

The trapezoid between the two horizontal lines has bases of 8 and 7, and a height of 2. Its area is ...

  A = (1/2)(8 +7)(2) = 15

The rectangle at upper right has a base of 2 and a height of 3. Its area is ...

  A = bh

  A = 2(3) = 6

The triangle at the bottom has a base of 3 and a height of 2. Its area is ...

  A = 1/2bh

  A = 1/2(3)(2) = 3

Then the total area of all of these pieces is ...

  Area = 16 +15 +6 +3 = 40 . . . . square units

Answer:

the answer is 40 square units

Answer:

She forgot to multiply both sides by -1 and reverse the inequality. She also didn't flip the signs.

Step-by-step explanation:

- 2x -4>8

-2x - 4+4>8+4

-2x >12

(-2x)(-1)<12(-1)

2x<-12

2x/2<-12/2

x<-6

Hope this helped!!!

Answer:

Where is the picture of the figure

Step-by-step explanation:

Answer:

1° and 89°

Step-by-step explanation:

(x + 88°) + x = 90°

2x + 88 = 90

2x = 2

x = 1°

Answer:

Top one, least to greatest:

[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]

Bottom one, greatest to least

9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]

Answer:

Hope I helped and the answers are bellow

Step-by-step explanation:

Part A

-_/- 54 = - 7.38

-3/9 = - 0.3333

9/5 = 1.80

Pi= 3.14

Then 6.6

And finally _/- 75 = 8.66

Part B

9.6

_/- 34 = 5.83

9/9 = 1

-4.2

-7 2/5 = -7.40

-_/- 85 = - 9.21

Answer:

25000

Step-by-step explanation:

bc the proof is solid

Answer:

b

Step-by-step explanation:

There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2

Answer:

The answer is 8

Answer:

16 inches

Step-by-step explanation:

First, do 56/7. You do this to see how much more feet it is than the scale. The answer is 8.

Because the answer is 8, you would multiply 2 inches by 8 to be proportional to 56 feet.

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex]by using Pythagoras law:h²=p²+b²

9²=x²+7²

x²=81-49

x=√32units

Answer:

The answer is A. 8, 9, 10

Answer:

A. 8, 9, 10.

Step-by-step explanation:

Consecutive numbers counting numbers which are 1 greater than the other, therefore:

x + (x + 1) + (x + 2) = 27

(x + x + x) + (1 + 2) = 27

3x + 3 = 27

–3 –3

3x = 24

÷3 ÷3

x = 8.

x = 8 → [ x + (x + 1) + (x + 2) ] =

(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10

This one takes time to type all the math work.

Let me see.

There are two triangles here.

They both have the same area.

A = (1/2)(base)(height) times 2

A = (1/2)(42)(56) times 2

A = 1,176 times 2

A = 2,352 inches^2.

We also have three rectangles. We need to find the area of each rectangle individually.

Area of bottom rectangle = 42 times 72 or 3,024 inches^2.

Area of back rectangle = 56 times 72 or 4,032 inches^2.

Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.

We now add all the areas together to find the total area of the entire figure.

Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2

Total area = 14,448 inches^2

Done!

Did you understand what was done here?

Answer:  $548.02

Step-by-step explanation:

Correct for inaccurate postings...

add the $0.50 overcharge and the $56.29 unauthorized charge from $491.23

491.23+.50+56.29=548.02

p-value is a measure of the probability that an observed difference could have occurred just by random chance.

Step-by-step explanation:

A=x

B=x+1

C=x+2

[tex] {x}^{2} + {(x + 1)}^{2} + {(x + 2)}^{2} = 1454 \\ {x}^{2} + {x}^{2} + 2x + 1 + {x}^{2} + 4x + 4 = 1454 \\ 3{x}^{2} + 6x + 5 - 1454 = 0 \\ 3 {x}^{2} + 6x - 1449 = 0 \\ {x}^{2} + 2x - 483 = 0 [/tex]

I'm sorry but I can't use the calculator, I hope this helps you anyway.

Answer:

The two sets would be 21,22,23 and -21, -22, and -23

Step-by-step explanation:

This is because a negative number squared would be positive.

So -21^2+-22^2+-23^2 would equal the same as 21^2+22^2+23^2 which would be 1454.

Answer:

1:[tex]\sqrt{3}[/tex];2

Step-by-step explanation:

those are the side length ratios

Answer:

1:√3:2

Step-by-step explanation:

Brainliest please

Answer:

the answer is 40.

Step-by-step explanation:

[tex]t \: = \: \frac{600}{9 + 6} = 40[/tex]

Answer:

When the tourists came, the people of Zanzibar extended a warm welcome.​

Answer:

16.44 would be your right answer

Step-by-step explanation:

Answer:

46.44 cm 3

Step-by-step explanation:

Answer: 3000$ in 9% account

Step-by-step explanation: sums in accounts are x and (4000-x)

Interests are 0.09x and 0.10(4000-x) = 400-0.1x

Now you get 0.09x -0.1x + 400 = 370

Then -0.01x = -30 and x= 3000

Answer:

The population growth rate is of 1.86%.

Step-by-step explanation:

Population growth rate:

Immigration plus births subtracted by emigration and deaths.

In this question, we have that:

Birth: 14.3 per 1000

Death: 11.8 per 1000

Immigrations: 21.6 per 1000

Emigrations: 5.5 per 1000

Rate:

[tex]\frac{14.3 + 21.6 - 11.8 - 5.5}{1000} = \frac{18.6}{1000} = 0.0186[/tex]

As a percentage:

Multiply by 100%. So

0.0186*100% = 1.86%

The population growth rate is of 1.86%.

Answer:

4 , 12 divided by 3 equals 4

Step-by-step explanation:

Answer:

There are 220 boys in the course.

Step-by-step explanation:

If we group the five boys and four girls together, there would be 44 (396/9) groups of nine people. Since there are five boys in every group, you would do 44*5 which is 220.

Answer:

220 boys

Step-by-step explanation:

boys:girls

5:4

396 total

(5x44)+(4x44)=396

220+176=396

220 boys

Answer:

B

Step-by-step explanation:

The mean is the average of all ages meaning that the ages are close to 11.6 but don't necessarily have to be 11.6.

Answer:

The sample size 'n' = 72,030

Step-by-step explanation:

Step(i):-

Given that the Estimate Error = 0.013

Given that the standard deviation of the Population = 1.5

The estimated error is determined by

[tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

Step(ii):-

Given that the Level of significance = 0.98 or 0.02

Z₀.₀₂ =   2.326

The estimated error is determined by

        [tex]E = \frac{Z_{0.98} S.D }{\sqrt{n} }[/tex]

   [tex]0.013 = \frac{2.326 X 1.5 }{\sqrt{n} }[/tex]

      [tex]\sqrt{n} = \frac{3.489}{0.013} = 268.38[/tex]

Squaring on both sides, we get

    n =  72,030

Final answer:-

The sample size 'n' = 72,030

Answer:

B, neither

Step-by-step explanation:

21 is not a perfect square or perfect cube.

Answer:

3 ; 4/3

Step-by-step explanation:

x + 4(1/x) = 13/3

x + 4/x = 13/3

x^2 -13/3x + 4 = 0

3x^2 - 13x + 12 = 0

Δ = 169 - 144 = 25

x1 = (13 + 5)/6 = 3

x2 = (13-5)/6 = 4/3

Answer:

4/3 or 3

Step-by-step explanation:

Let, the number be x.

According to the question,

x+4×1/x=13/3

or, x+4/x=13/3

or, x^2+4/x=13/3

or, 3(x^2+4)=13x

or, 3x^2+12=13x

or, 3x^2-13x+12=0

or, 3x^2-(4+9)x+12=0

or, 3x^2-4x-9x+12=0

or, x(3x-4)-3(3x-4)=0

or, (3x-4)(x-3)=0

Either, Or,

3x-4=0 x-3=0

or, 3x=4 .•. x=3

.•. x=4/3

So, the possible numbers are 4/3 or 3.

Answer:

4.6

Step-by-step explanation:

Answer:

n=8

Step-by-step explanation:

It’s a special 30-60-90 triangle, so n=8.

Answer:

54 Ok?

Step-by-step explanation: Thats what i got

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.