Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?

Answer:

this question is a very simple. you should start with the biggest triangle then follow the steps to find each side of other triangles. THE ANSWER İS ROOT FORTY ONE

Step-by-step explanation:

these are all right-angled triangles. even the smallest one with the x side.

so, we need to apply Pythagoras to get the missing sides and finally x.

c² = a² + b²

c is the Hypotenuse, the baseline of the triangle opposite of the 90 degree angle. a and b are the legs of the triangle enclosing the 90 degree angle.

so,

52² = 48² + side1²

2704 = 2304 + side1²

400 = side1²

side1 = 20

20² = 12² + side2²

400 = 144 + side2²

256 = side2²

side2 = 16

13² = 5² + (larger part of side2)²

169 = 25 + (larger part of side2)²

144 = (larger part of side2)²

larger part of side2 = 12

that means the smaller part of side 2 = 16-12 = 4.

x² = 5² + 4² = 25 + 16 = 41

x = sqrt(41)

So, D is the right answer option.

Answer:

c

Step-by-step explanation:

Substitute the coordinates of the points into the left side of the equation and if equal to the right side then the point lies on the line.

(4, 2 ) → 15(4) + 60(2) = 60 + 120 = 180 ← point on line

(12, 1 ) → 15(12) + 60(1) = 180 + 60 = 240 ← point not on line

(0, 3 ) → 15(0) + 60(3) = 0 + 180 = 180 ← point on line

(8, 1 ) → 15(8) + 60(1) = 120 + 60 = 180 ← point on line

The point (12, 1 ) is not on the line → c

Answer:

x = ± 8

Step-by-step explanation:

[tex]\dfrac{1}{2}x^{2}=32[/tex]

Multiply the equation by 2

x² = 32*2

x² = 64 = 8²

x = 8

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Answer:

x = 8√2

Step-by-step explanation:

use the pythagorean theorem with the 2 sides being the same

16^2 = x^2 + x^2

256 = 2x^2

Divide both sides by 2

128 = x^2

Take the square root of both sides

x = √128

x = √(64 * 2)

x = 8√2

Answer:

x= [tex]8\sqrt{2}[/tex] or 11.31

Step-by-step explanation:

You know that the shape is a square that is divided making 2 triangles. They are examples of 45-45-90 degree triangles. So with this information, you know that both lengths of the triangles are equal, with a hypotenuse of 16.

Side C= 16

Side A= Side B

45-45-90 Formula

Side C= [tex]a\sqrt{2}[/tex]

16= [tex]a\sqrt{2}[/tex]

[tex](16= a\sqrt{2})^{2}[/tex]

256=[tex]2a^{2}[/tex]

128=[tex]a^{2}[/tex]

[tex]\sqrt{128}[/tex]=a

a= [tex]8\sqrt{2}[/tex] or 11.31

Answer:

Thanks for the points, I will change my answer when you re-upload okay

:)

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Answer:

141 stickers

Step-by-step explanation:

212-47=165

165-24= 141 stickers

Answer:

The numbers can be 2,4,6,8,0

Step-by-step explanation:

Apparently, using these numbers, the last 3 digits become divisible with 8. Therefore, 2,4,6,8,0 is the numbers that can fit in the hundredth's place.

Hoped this helped.

Answer: C

Step-by-step explanation: 10 times 1/2

Answer:

C. 5 Pounds

Step-by-step explanation:

Total of 10 friends divide that by 2 you get five so you would do 5 times to would be 10 (sorry if i explained that weirdly)

Answer:

segment addition postulate

the second answer is true

Step-by-step explanation:

my teacher taught me this recently

Answer:

10.

Step-by-step explanation:

If you're subtraction a negative number, you are basically adding a positive number. 5-(-5) = 5+5.

Hey there!

GUIDE:

2 negatives = positive

2 positives = positive

1 negative & 1 positive = negative

1 positive & 1 negative = negative

Negatives are BELOW 0 and they are to the LEFT of 0

Positives are ABOVE 0 and they are to the RIGHT of 0

ANSWERING the QUESTION

5 - (-5)

= 5 + 5

= 10

Therefore, your answer is: 10

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Step-by-step explanation:

P=principle balance

r= interest rate

n= no. of times interest compounded per year

t= time period.

[tex]A = P {(1 + \frac{r}{n}) }^{nt} \\A = 2500 ({1 + \frac{ \frac{6.1}{100} }{4} )}^{4(10)} \\ A = 2500 {(1 + \frac{0.061}{4} )}^{40} \\ A = 2500 {(1 + 0.01525)}^{40} \\ A = 2500 {(1.01525)}^{40} \\ A = 4579.94[/tex]

BRAINLIST PLS

Based on the information given the balance after 10 years is $4579.94

Using this formula

Amount=P(1+r/n)^nt

Where:

P=principle balance=2500

r= interest rate=6.1%

n= Number of times interest compounded per year=4

t= time period=10 years

Let plug in the formula

Amount=2500(1+0.061/4)^4×10

Amount=2500(1+0.01525)^40

Amount=2500(1.01525)^40

Amount=$4579.94

Inconclusion  the balance after 10 years is $4579.94

Learn more about  balance after 10 years here:https://brainly.com/question/25545513

Answer:

3.70

Step-by-step explanation:

Answer:

  a. $58.75

  b. 3.75p +5.00d

Step-by-step explanation:

As with any sort of purchase, the cost for a number of items of the same kind is the product of the number of items and the cost of each. For several different items, the total cost is the sum of the costs of each of the kinds of items. If you do any shopping, you know this.

5 popcorn and 8 drinks cost 5($3.75) +8($5.00) = $18.75 +40.00 = $58.75

__

p popcorn and d drinks cost p($3.75) +d($5.00) = 3.75p +5.00d . . . . dollars

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

Answer:

Peter swam 12 hours, Pam swam 6

Step-by-step explanation:

Pam = x

Peter = y

y = 2x (this is because Peter swam twice as much)

y + x = 18 (this is because they both swam a total of 18 hours)

2x + x = 18 (substitute for y)

3x = 18

x = 6 (pam)

Now, I just need to substitute x = 6 into original equation.

y = 2(6)

y = 12 (peter)

Answer:

Peter- 12 hours

Pam- 6 hours

Step-by-step explanation:

You can set it up an an equation.

P = Peter

18= P + (P/2)

Solve.

36=2P+p

36=3P

P=12

Peter swam 12 hours.

Then 18-12= 6, Pam's number of hours.

10 solar panels according to me is the answer

Answer: 10

Step-by-step explanation:

40 hours/8 hours = 5 hours

5 hours *2 solar panels = 10 solar panels

Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.

Answer:

thirty-first ordinal. being or denoting a numerical order in a series.

Step-by-step explanation:

Answer:

The measure of ∠ADC = 145°

Step-by-step explanation:

ABCD is a Parallelogram.

AB is produced to E .

∠CBE = 35°

We know that

∠ABC + <CBE = 180[tex]\degree[/tex]

Since , they are linear pair

➜ ∠ABC + 35° = 180°

➜ ∠ABC = 180°-35°

➜ ∠ABC = 145°

We know that

In a Parallelogram, Opposite angles are equal.

➜ The opposite angle of ∠ABC = ∠ADC

➜ ∠ADC = 145°

Therefore, The measure of ∠ADC = 145°

Similar Questions

In the accompanying diagram of the parallelogram ABCD, AB is extended to E such that CB is congruent to CE. If m< ADC = 100, what is m<CEB?

https://brainly.com/question/22056209?referrer

Answer:

25021/50 ft.

Step-by-step explanation:

Convert decimal to fraction, 50042/100 ftReduce the fraction: 25021/50 ft

More Explanation on Rational Numbers:

Rational numbers are the numbers which can be written as fraction of a/b where a,b be any integer and b≠0. They are finite and recurring decimals.

For example:- 0.2 is a rational number and can be written as 2/10 or 1/5.

Irrational numbers are the numbers which can not written as fraction and they are non-terminating .

For example: The √2 [square root of 2] is also an irrational number. After simplifying,it would be written as 1.41421356237…so on ,but the numbers go on into infinity and do not ever repeat, and they do not ever terminate.

Have a great day! :D

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Answer:

Acute is correct.  It should not be confused with the girl at the desk ahead.  She's a cutie.  Cuties all have angles, so caution.

Step-by-step explanation:

$200

Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.

You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.

The question asks for the value after two years, so you must double this to $200.

The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.

The price of a staff ticket and the price of a student ticket is $8 and $14

Given:

Day 1:

Number of staff tickets sold = 3

Number of students tickets sold = 1

Total revenue day 1 = $38

Day 2:

Number of staff tickets sold = 3

Number of students tickets sold = 2

Total revenue day 2 = $52

let

cost of staff tickets = x

cost of students tickets = y

The equation:

3x + y = 38 (1)

3x + y = 38 (1)3x + 2y = 52 (2)

subtract (1) from (2)

2y - y = 52 - 38

y = 14

substitute y = 14 into (1)

3x + y = 38 (1)

3x + 14 = 38

3x = 38 - 14

3x = 24

x = 24/3

x = 8

Therefore,

cost of staff tickets = x

= $8

cost of students tickets = y

= $14

Read more:

https://brainly.com/question/22940808

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Learn more in https://brainly.com/question/14746652

Answer:

y= -x-1

Step-by-step explanation:

(x1,y1) = (-1,0) ; (x2,y2) = (0,-1)

y=mx+b

m=[tex]\frac{y2-y1}{x2-x1}[/tex]=[tex]\frac{-1-0}{0-(-1)}[/tex]=[tex]\frac{-1-0}{0+1}[/tex]=[tex]\frac{-1}{1}[/tex]=-1

Then substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to find b.

y=mx+b

0=(-1)(-1)+b

0=1+b

0-1=1-1+b

b=-1

Then substitute b and m to get the equation.

y=(-1)x+(-1)

y= -x-1

Answer:

6:30 A.M

Step-by-step explanation:

That's if you wanted it right at 2 after cooling for 30mins

Answer:

The answer is 426.72.

Step-by-step explanation:

Take the number 14.46 and divide it by 5, and after that take that number and multiple it by 16.

Answer:

The discount is $18.