Answer:
The answer would be C. $71,829
Hope this helped :D
The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions thus option (d) is correct.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects.
In other meaning, subtraction is a mathematical operation such that two values are going to subtract and give a resultant value.
The group's total number of items decreases or becomes lower when we subtract from it.
Gross income = $85,463
Deductions are,
Income will be $896
Exemptions is 2 x $3,650
Charitable donations is $2,145
Exemptions is 2 x $3,650 expenses is $3,473
Add all above the deduction to find out the total deduction,
$896 + $2,145 + $3,473 + 2 x $3,650 = $13,814
Thus, net income will be as by subtraction,
$85,463 - $13,814 = $66,129
Hence "The net salary after all deductions will be $66,129 and can be calculated by subtraction of gross salary from all deductions".
For more about subtraction,
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100 POINTS HELP ASAP Linear Combination
Answer:
1) [tex]x=\dfrac12[/tex]
2) [tex]n = -3 \ \ \textsf{and} \ \ m = -4[/tex]
3) see below
4) A: 0 = 1
Step-by-step explanation:
Question 1
[tex]15-0.5(4x-2)+4x=17[/tex]
[tex]\implies 15-2x+1+4x=17[/tex]
[tex]\implies 2x+16=17[/tex]
[tex]\implies 2x=1[/tex]
[tex]\implies x=\dfrac12[/tex]
Question 2
[tex]\textsf{rearrange} \ n=m+1 :[/tex]
[tex]\implies -m=-n+1[/tex]
[tex]\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\[/tex]
[tex]\implies0=n+3[/tex]
[tex]\implies n=-3[/tex]
[tex]\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:[/tex]
[tex]\implies m=-3-1[/tex]
[tex]\implies m=-4[/tex]
Question 3
subtract the second equation from the first
divide both sides by -4
substitute found value for y into first equation
solve for x
Question 4
[tex]3j=k[/tex]
[tex]k=3j+1[/tex]
[tex]\textsf{rearrange} \ 3j=k :[/tex]
[tex]\implies -k=-3j[/tex]
[tex]\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:[/tex]
[tex]\implies 0=1[/tex]
Solution = A
Find the value of the variable.
A. 7
B. 3
C. 3.5
D. 1.5
Answer: 3.5
Step-by-step explanation:
It is an intersection of a tangent and a secant.
122=9(9+2a)
144=81+18a63= 18a3.5=a
Took test as well!
The numerical value of 'a' in the secant segment of the circle is 3.5.
What is the numerical value of 'a'?The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment."
It is expressed as:
( tangent segment )² = External part of the secant segment × Secant segment.
From the diagram:
tangent segment = 12 ft
The external part of the secant-segment = 9 ft
Secant segment = ( a + a + 9 ) = 2a + 9
To determine the value of 'a', we use the secant-tangent power theorem.
12² = 9 × ( 2a + 9 )
Solve for 'a':
144 = 18a + 81
144 - 81 = 18a
63 = 18a
a = 63/18
a = 3.5
Therefore, 'a' has a value of 3.5.
Option C) 3.5 is the correct answer.
Learn more about the secant tangent power theorem here: brainly.com/question/26407978
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convert mixed number 5/6 x 2 1/2
Answer:
2 and 1/12
Step-by-step explanation:
you need to take 2 1/2 and convert it to the common denominator of 6
so 1/2 * 3 = 3/6. and 2*6 = 12. add the 12 and 3 to get 15/6. which is equivalent to 2 1/2
so multiply 15/6 * 5/6 and get 75/36 to get or 2 and 3/36. reduce down to 2 and 1/12
Show that
[tex]\sqrt[3]{3}+\sqrt{2}\ \textgreater \ \sqrt[3]{9}\ \textgreater \ \sqrt[4]{13}[/tex]
[tex]\;[/tex]
[tex]\Large\textrm{Note}[/tex]
1. Use of calculator is not allowed.
2. Use of approximated value is not allowed.
Answer:
See belowStep-by-step explanation:
Use same power to compare the values
Prove the first part:
[tex]\sqrt[3]{3}+\sqrt{2} >\sqrt[3]{9}[/tex][tex]\sqrt[6]{3^2}+\sqrt[6]{2^3} >\sqrt[6]{9^2}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8} >\sqrt[6]{81}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8}> \sqrt[6]{8}+\sqrt[6]{8}=2\sqrt[6]{8}=\sqrt[6]{8*64} =\sqrt[6]{512} >\sqrt[6]{81}[/tex][tex]512 > 81[/tex]Prove the second part:
[tex]\sqrt[3]{9} >\sqrt[4]{13}[/tex][tex]\sqrt[12]{9^4} >\sqrt[12]{13^3}[/tex][tex]\sqrt[12]{6561} >\sqrt[12]{2197}[/tex][tex]6561 > 2197[/tex]Which ordered pair is the solution to the following system of equations? x + y = 7 2x + 3y = 10
Answer:
The solution for x + y = 7 & 2x + 3y = 10 is at (11,-4)
Answer: (11,-4)
Hope this helps!
help imma need those answers
Answer:
y=1/2x
Step-by-step explanation:
It looks like it
How many hours do unicorns fly for 4 hours
Answer:
24 hours
Step-by-step explanation:
Answer:
4 hours sound good
What is division. Please explain it very well
Answer:
Division is the separation of something (a number) into equal parts.
Step-by-step explanation:
Division is the separation of something (a number) into equal parts. In other words, it's the opposite of multiplication, which is the repeated addition of something (a number).
Probably the best way to explain division is with an example. Say I want to compute the following:
10 / 2
"10" means I have 10, and the "/ 2 means" that I want to seperate 10 into equal groups of 2. To do that, I will count how many groups of 2 I can have in 10. 2, 4, 6, 8, and 10 make 5 equal groups of 2. Therefore,
10 / 2 = 5.
Division can also result in remainders, or leftovers after division. This is because somethimes, numbers don't divide evenly. Take for instance this example:
10 / 3
I know that 3 isn't a multiple of 10, but I can still attempt to divide it. 3, 6, 9, three groups ... wait ..., I have only 1 left. What do I do with this 1? Well, it is a remainder now because it is left over:
10 / 3 = 3 and a remainder of 1 ( or 3 r1).
I'm sorry if this is a bad explanation, but I am not a big fan of using visuals online when teaching math. Yet, I have done my best to explain what division is (in abstract form no less), and I hope you can figure it out if you haven't yet in the future.
The amount of money in a saving account increase from $250 to $270 what is the precent increase of the money in the savings account
Answer:
8%
Step-by-step explanation:
percent increase = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%
Answer:
12.5
Step-by-step explanation
270 - 250 = 20
250 divided by 20 = 12.5
So therefore the percentage in the increase is 12.5
victor buys some six packs of soda for a party he buys 42 cans in all how many six packs of soda did victor buy?
Answer:
7
Step-by-step explanation:
42÷6=7
Pretty easy question in my opinion
It is estimated that 52% of drivers text while driving. Part A: What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver? (5 points)
Answer:
Step-by-step explanation:
Solve: 97 x 104. 270,000 87,000 9,700,000 6,700
Answer:
I got 10,088
Step-by-step explanation:
If that is Incorrect, I would pick 6,700 .
Write the slope-intercept form of the equation of the line (1,-4) with a slope of -2
Answer:
B
Step-by-step explanation:
General equation
y = mx + b
m = the slope
b = the y intercept
Slope
y = -2x + b
y intercept
use the point to get the y intercept.
x = 1
y = - 4
Subsitute these values into the incomplete equation under slope
-4 = -2(1) + b
-4 = - 2 + b Add 2 to both sides
-4+2 = b
b = - 2
Answer
y = -2x - 2
Answer:
y = -2x - 2
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (1,-4)
y - y1 = m (x - x1)
y - (-4) = -2 (x - 1)
y + 4 = -2x + 2
- 4 - 4
y = -2x - 2
To check our answer, I attached the graph.
PLEASE HELP GIVING BRAINLIEST
Answer:
seq 1 : 9 , 11, 13, 15, 17
seq 2: 5, 8, 11, 15, 18
seq 1: 20, 16, 12, 8, 4,
seq 2: 20, 17, 14, 11, 8,
seq 1: 1, 2, 5, 11, 23
seq 2: 40, 24, 16, 12, 10
Step-by-step explanation:
im not sure if the ordered pairs i had in mind are correct so im not listing them
Answer:
Attach are the sequences
Step-by-step explanation:
Hope this helps!
Your friend wants to mark her favorite campsite on the map. She knows that the campsite is 65 miles north of her town. What distance on the map (in inches) represents an actual distance of 65 miles
To solve this problem, we simply need to convert the distance
Conversion of UnitsLike we already established earlier, we just need to convert the distance unit from miles to inches
But given that
[tex]1mi = 63360in[/tex]
Let us find how many inches will be in 65 miles.
In this case, simply multiply 65 by 63360 to find the actual distance in inches.
[tex]65 * 63360 = 4118400in[/tex]
The distance on her map will be 4118400 inches on her map.
Learn more on conversion of unit here;
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If someone can help I would appreciate it
Answer:
x = 23
( x + 16 ) + ( 3x - 1 ) + 6x + 5x = 360°
x + 3x + 6x + 5x + 16 - 1 = 360°
15x + 15 = 360°
15x = 360° - 15
x = 345 ÷ 15
x = 23
450kg divided into the ratio of 7:2
Answer:
7:2
350:100
[tex] \frac{7}{9} \times 450kg = 350kg[/tex]
[tex] \frac{2}{9} \times 450g = 100kg[/tex]
A 20 foot ladder leans against the a house forming a 75° angle with the house. Exactly how far is the base of the ladder from the house?
Check the picture below.
Make sure your calculator is in Degree mode.
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches.
A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches.
The resulting parallelogram has a base of approximately 9.22 inches.
Complete the following steps to calculate the altitude of the parallelogram using area methods.
The area of the sheet of paper is
square inches.
The combined area of the triangle cutouts is
square inches.
The area of the parallelogram is
square inches.
The altitude of the parallelogram rounded to two decimals is
square inches.
The area of a shape is the amount of space it occupies.
The area of the paper is 96 square inchesThe combined area of the triangle cutouts is 36 square inchesThe area of the parallelogram is 60 square inchesThe altitude of the parallelogram is 6.51 inchesThe area of the paperThe dimension of the paper is given as: 12-inch by 8-inch
So, its area is:
[tex]Area = 12 * 8[/tex]
[tex]Area = 96[/tex]
Hence, the area of the paper is 96 square inches
The area of the trianglesThe dimensions of the 4 right triangles are: Two 2 inches by 9 inches, and two 3 inches by 6 inches
So, the combined area is:
[tex]Area = 0.5(2 * 2 * 9 + 2 * 3 * 6)[/tex]
[tex]Area = 36[/tex]
Hence, the combined area of the triangle cutouts is 36 square inches
The area of the parallelogramThe area of the parallelogram is the difference between the areas of the paper and the four right triangles.
So, we have:
[tex]Area = 96 - 36[/tex]
[tex]Area = 60[/tex]
Hence, the area of the parallelogram is 60 square inches
The altitude of the parallelogramThe base is given as 9.22
So, we have:
[tex]Area = Base * Altitude[/tex]
This gives
[tex]60 = 9.22* Altitude[/tex]
Divide both sides by 9.22
[tex]Altitude = 6.51[/tex]
Hence, the altitude of the parallelogram is 6.51 inches
Read more about parallelograms at:
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Answer: The area of the paper is 96 square inches
The combined area of the triangle cutouts is 36 square inches
The area of the parallelogram is 60 square inches
The altitude of the parallelogram is 6.51 inches
Step-by-step explanation:
Guys I need help Problem solving
Question: If 5 men can reap a field in 9 days, how many days 15 men take to reap the field
Answer:
...................3
Answer:
It will take 3 days
Step-by-step explanation:
5x3=15
so 9/3=3
3 days
Please help me!!! Bsbebabnababwbabs
Step-by-step explanation:
since the other angles are equal to each other, both triangles, TQR and TSR, are identical. they are just oriented differently.
but that also means that both angles, Q and S, are identical too.
so,
2x² = 3x² - 64
64 = x²
x = 8
and therefore, both angles are 128°.
question: what is the graph of y= -x+2
Answer:
[A]
Step-by-step explanation:
The cost per minute of a conference phone call, originally $2. 80, increased by 20%. What is the new price? $3. 00 $3. 20 $3. 26 $3. 36.
Answer:
3.36
Step-by-step explanation:
.20 x 2.80 = .56
2.80 + .56 = 3.36
YOU HAVE AT MOST 7 HOURS TO SPEND AT A FAIR AND A BEACH. YOU WANT TO SPEND AT LEAST 2 HOURS AT THE FAIR AND MORE THAN 3 HOURS AT THE BEACH. WRITE A SYSTEM TO REPRESENT THE SITUATION
Let x be the number of hours at the fair and y be the number of hours at a beach.
x + y < 7
{ at most 7 hours at a beach and the fair }
x > 2
{ at least 2 hours at the fair }
y > 4
{ more than 3 hours at a beach }
Graph the system accordingly
10. If R is the midpoint of QS, find QS.
Statement:
R is the midpoint of QS.
To find out:
The measure of QS.
Solution:
QR + RS = QSSince R is the midpoint of QS, then QR = RS.QR = 2x + 16, RS = 5x - 17.Therefore, 2x + 16 = 5x - 17or, 2x - 5x = -17 - 16or, -3x = -33or, x = -33 ÷ -3or, x = 11Therefore, QR = 2(11) + 16= 22 + 16 = 38So, QS = 2QR = 2 × 38= 76Answer:
QS is 76.
Hope you could understand.
If you have any query, feel free to ask.
if x=6 find the value of x+4. 3x. x/2 all as different answer please
Answer:
x+4=10 3x=18 and x/2=3
Step-by-step explanation:
x=6 substituting the value,
x+4
=6+4
=10
3x
=3×6
=18
x/2
=6/2
=3
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
Answer:
2.
Step-by-step explanation:
If it was 14, 24.5, or 28, that side of the trapezoid would've been much longer.
Answer:
I believe your answer would be 2
Step-by-step explanation:
Using the same method as I explained in your previous triangle question I assumed the bigger quadrilateral is an expanded version of the smaller one.
Step 1:
Divide 14 by 4
14/4=3.5
Step 2:
Divide 7 by your 3.5
7/3.5=2
This means that the side of x should be 2 because each side is squished by a factor of 3.5 and expanded by this factor to get to the big shape.
Hope this helps! :)
A box of bananas was bought for $50 and was sold for a 15% loss. What is the selling price of the bananas?
Answer:
$42.50
Step-by-step explanation:
when you have a percent loss you can take that number and subtracted from 100 and get your percentage
you multiply the amount by 85 percent
so this means it is 50 titimes 0.85
this gives me $42.5
I WILL GIVE BRAINLIEST
Solve for m.
-3/7 equals 12
A. m= -28
B. m= -26
C. m= 26
D. m= 28
Hey there!
ASSUMING!
-3/7m = 12
IF SO!
DIVIDE -7/3 to BOTH SIDES
-7/3 * -3/7m = 12 * 7/3
CANCEL out: -7/3 * (-3/7) because it give you 1
KEEP: 12 * (-7/3) because it give you the m-value
NEW EQUATION: m = 12 * (-7/3)
SIMPLIFY IT!
m = -28
Therefore, your answer is: m = -28
(Option A)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Can any one help with y = 2x + 4
6x – 3y = -12 system by substitution I’m so confused??
I will give you 50points
Answer:
It's in the screenshot hope it helpsss
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
y = 2x + 4 Substitute this for y in the second equation
6x - 3y = -12
6x - 3(2x + 4) = - 12 Substitute this for y for 2x + 4
6x - 3(2x) -3(4) = - 12 Distributive property
6x - 6x - 12 = - 12
(6x - 6x) -12 = - 12 like terms together
0 - 12 = - 12 Simplify
-12 = -12 True equation so x is equal to any number and you have the same equation