Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
To learn more on equation click:
https://brainly.com/question/14468218
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Find the y-intercept of the line: 6x – 3y +6=0
Answer:
Step-by-step explanation:
The y-intercept exists where the x coordinate is 0. Therefore, we can find it by plugging in a 0 for x and solving for y:
6(0) - 3y + 6 = 0 and
-3y + 6 = 0 and
-3y = -6 so
y = 2
Find the values of a and b that complete the mapping diagram
Answer:
A=0
B=1
Step-by-step explanation:
Just did it (:
Answer: A = 0, and B = 1.
Step-by-step explanation: I put 0, and 1, and it was the perfect answer.
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fast
Answer:
m = 2Step-by-step explanation:
[tex] \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} [/tex]
[tex] = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} [/tex]
[tex] = > \frac{5m - 10}{6} = \frac{5m - 10}{2} [/tex]
[Cross Multiplication]
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m
[tex] = > m = \frac{40}{20} [/tex]
=> m = 2 (Ans)
Three times a number decreased by the sum of seven times the number and 12 is equal to twice the difference of the number and 3
Answer:
x = -1
Step-by-step explanation:
3x - (7x +12) = 2(x - 3)
3x - 7x - 12 = 2x - 6
-4x - 12 = 2x - 6
-12 = 6x - 6
-6 = 6x
x = -1
Check:
-1(3) - (-1(7) + 12) = 2(-1 - 3)
-3 - (-7 + 12) = -2 - 6
-3 - (5) = -2 - 6
-8 = -8
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
An object is dropped off a building that is 144 feet tall. After how many seconds does the object hit the ground? (d=16t^2)
wrong= reported.
ty<3
Answer:
after 3 seconds, the object hits the ground.
Hope this helps :)
Can someone help me with problem 6 and 7? Please explain I am confused
does anybody knoew what 6,114 divided by 63 is? (give me explaination please) long division btw
(my cousin needs it lolz!)
Answer:
ok i hops help u
Step-by-step explanation:
The answer to 63 divided by 21 can also be written as a mixed fraction as follows: 3 0/21 Note that the numerator in the fraction above is the remainder and the denominator is the divisor. How to calculate 63 divided by 22 using long division
What is 6114 Divided by 63?
We provide you with the result of the division 6114 by 63 straightaway:
6114 divided by 63 = 97.047619
The result of 6114/63 is a non-terminating, repeating decimal.
The repeating pattern above, 047619, is called repetend, and denoted overlined with a vinculum.
This notation in parentheses is also common: 6114/63 = 97.(047619): However, in daily use it’s likely you come across the reptend indicated as ellipsis: 6114 / 63 = 97.047619… .
6114 divided by 63 in decimal = 97.047619
6114 divided by 63 in fraction = 6114/63
6114 divided by 63 in percentage = 9704.76190476%
Note that you may use our state-of-the-art calculator above to obtain the quotient of any two integers or decimals, including 6114 and 63, of course.
Repetends, if any, are denoted in ().
The conversion is done automatically once the nominator, e.g. 6114, and the denominator, e.g. 63, have been inserted.
What is the Quotient and Remainder of 6114 Divided by 63?
Here we provide you with the result of the division with remainder, also known as Euclidean division, including the terms in a nutshell:
The quotient and remainder of 6114 divided by 63 = 97 R 3
The quotient (integer division) of 6114/63 equals 97; the remainder (“left over”) is 3.
6114 is the dividend, and 63 is the divisor.
In the next section of this post you can find the frequently asked questions in the context of six thousand, one hundred and fourteen over sixty-three, followed by the summary of our information.
Six Thousand, One Hundred And Fourteen Divided by Sixty-Three
You already know what 6114 / 63 is, but you may also be interested in learning what other visitors have been searching for when coming to this page.
The FAQs include, for example:
What is 6114 divided by 63?
How much is 6114 divided by 63?
What does 6114 divided by 63 equal?
If you have read our article up to this line, then we take it for granted that you can answer these FAQs and similar questions about the ratio of 6114 and 63.
Further information, such as how to solve the division of six thousand, one hundred and fourteen by sixty-three, can be found in our article Divided by, along with links to further readings.
Conclusion
To sum up, 6114/63 = 97.(047619). The indefinitely repeating sequence of this decimal is 047619.
As division with remainder the result of 6114 ÷ 63 = 97 R 3.
Aaaaaaaaaaaaaaaaaaaa
(a + 1) × (a + 2) =
Answer:
Ithink the answer is 6 hope it helps please mark as brainliest
Answer:
a^2+3a+2
Step-by-step explanation:
(a + 1) × (a + 2)
a x a = a^2
a x 2 = 2a
1 x a = 1a
1 x 2 = 2
a^2 +2a+1a+2
2a+1a =3a
a^2+3a+2
Last year, the girl's basketball team had 20 ninth-grade students and 10 sixth-grade students. what was the ratio of sixth-grade students to total students on the team
Line R is represented by the equation `y=-2x+7`and Line Z is represented by the equation `y=3x-3`. At what point will line R and line Z intersect?
2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3
A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)
Answer:
I think you mean C.
Step-by-step explanation:
f(x) / g(x) = (x + 3)(x - 3)
==========
(x - 3)(x - 1)
f(x)/g(x) = (x+3) / (x - 1)
- ∞ < 1 U 1 < 3 U 3 < ∞
I NEED HELP ITS DUE TODAY I WILL GIVE BRAINliST PLZz
Answer:
49
Step-by-step explanation:
Can someone give me the answer?
Answer:
5 inches
Step-by-step explanation:
The distance from the center of a circle to any point on the circumference must be equal.
Please help me with question 5!!!!!!!!!
Answer:
a)2,3,4,5,6
b)-3,-1,1,3,5
Step-by-step explanation:
a) y(-2)=-2+4=2
y(-1)=-1+4=3
y(0)=0+4=4
y(1)=1+4=5
y(2)=2+4=6
b)y=2x+1
y(-2)=2*(-2)+1=-3
y(-1)=2*(-1)+1=-1
y(0)=2*0+1=1
y(1)=2*1+1=3
y(2)=2*2+1=5
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
12x + 72; 10x + 3
6x + 36; 10x + 3
12x + 72; 3x + 10
6x + 36; 3x + 10
Answer:
Area = 6x + 36
Perimeter = 3x + 10
Step-by-step explanation:
Sides of the triangle: 12 ; (x - 7) & (2x + 5)
Perimeter of the triangle = sum of all the sides
= 12 + x - 7 + 2x + 5
= 2x + x + 12 - 7 + 5 {Combine like terms}
= 3x + 10
Area of triangle:
Base = 12 & height = h = x +6
[tex]Area = \dfrac{1}{2}b*h\\\\=\dfrac{1}{2}*12*(x+6)\\\\[/tex]
= 6 *(x + 6) {Use distributive property}
= 6*x + 6*6
= 6x + 36
an elevator in a tall building goes up 7 floors, then down 9 floors, down 4 floors, up 8 floors, anddown 2 floors. now it is on floor 14 on what floor did the elevator start
Answer:
It started on the same floor, floor 14
Step-by-step explanation:
if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14
Answer:
14
Step-by-step explanation:
Let the floor started be 'x'
Equation:-
=> x + 7 - 9 - 4 + 8 - 2= 14
x + (+7) + (-9) + (-4) + (+8) + (-2) = 14
x + 7 - 9 - 4 + 8 - 2 = 14
x + 15 - 15 = 14
x = 14
Therefore, elevator started from 14th level.
Which is the graph of f(x) = 1/4 (4)^x ?
Answer:
The only graph that is fully shown.
Step-by-step explanation:
I did the math and the points check out.
Charlie borrowed $500 from his aunt. He has already paid back $75. His aunt doesn't charge
any interest and he is planning on making $15 payments each friday
Answer:
555
Step-by-step explanation:
because it is tyeesgghhhhfdfhf
You have $200 in a savings account and $100 in a checking
account. Each week, you add $50 to your savings account and $30 to your
checking account.
a. Write algebraic expressions that represent the amount of money in each
bank account after w weeks.
b. Write an expression in simplest form that represents the total amount of
money in both accounts after w weeks.
c. How much money do you have in both accounts after 5 weeks?
Answer:
a. Savings account: 200 + 50w Checking account: 100 + 30w
b. 300 + 80w
c. 700
Step-by-step explanation:
b. 200 + 50w + 30w + 100 Combine like terms. 300 + 80w
c. 300 + 80w. w=5. 300 + (80*5) = 300 + 400 = 700
what is the LCM of 4489
Answer:
plz mark me brainliest
Step-by-step explanation:
thanks for question
A triangle has side lengths of 2x , x + 4, and 3 (x + 3). Find the value of x if the perimeter of the triangle is 55 inches.
Answer:
x=7
Step-by-step explanation:
55=2x+(x+4)+[3(x+3)]
55=2x+x+4+3x+9
55=6x+13
55-13=6x
42=6x
7=x
Answer:
7 inchesStep-by-step explanation:
Perimeter is the sum of side lengths:
P = 2x + x + 4 + 3(x + 3)P = 55Solve for x:
2x + x + 4 + 3(x + 3) = 553x + 4 + 3x + 9 = 556x + 13 = 556x = 55 - 136x = 42x = 42/6x = 7help me pls pls pls pls
[tex] \frac{4c}{h} - k[/tex]
Step-by-step explanation:
well that is the answer
Answer:
s = (4C/h) - k
Step-by-step explanation:
C = ((s + k)/4)h
multiply by 4/h
4C/h = s + k
subtract k
s = (4C/h) - k
Simplify the following without a calculator: (14−2)÷2
Answer:
7/2
Step-by-step explanation:
(14−2)÷2
PEMDAS says parentheses first
7 ÷2
7/2
pretty sure this is algebra
[tex] \boxed{ \boxed{ \: \: \: \: 1.4 \: \: \: \: }}[/tex]
let's solve :[tex] \hookrightarrow \: \dfrac{2a + 3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + \dfrac{3b}{3b} [/tex]
[tex] \hookrightarrow \: \dfrac{2a}{3b} + 1[/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times \dfrac{a}{b} \big) + 1 [/tex]
[tex] \hookrightarrow \: \big(\dfrac{2}{3} \times 0.6 \big) + 1[/tex]
[tex] \hookrightarrow \:( 2 \times 0.2) + 1[/tex]
[tex] \hookrightarrow \: 0.4 + 1[/tex]
[tex] \hookrightarrow \: 1.4[/tex]
Show 713.65 in expanded notation
Answer:
713.65 = (7 x 100) + (1 x 10) + (3 x 1) + (6/10) + (5/100)
Step-by-step explanation:
Find the value of x. Round to the
nearest tenth.
35
Х
12
x = [ ? ]
Answer:
Step-by-step explanation:
[tex]Tan 35 = \dfrac{opposite \ side}{adjacent \ side}\\\\0.7=\dfrac{12}{x}\\\\0.7*x=12\\\\x=\dfrac{12}{0.7}\\\\x=17.1[/tex]
4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest
Step-by-step explanation:
4(y-3) + 3(y+4)
4y-12+ 3y+12
4y+3y-12+12
7y
I hope it helped U
stay safe stay happy
Answer:
hope it helps you.......
Select the correct answer.
Find the inverse of function f. F (x) = 1/3x -2
Answer:
D. F-1(x) = 3x + 6
Brainliest, please!
Step-by-step explanation:
y (F(x)) = 1/3x - 2
x = 1/3y - 2
x + 2 = 1/3y
y (F-1(x)) = 3x + 6
Answer:
your answer should be D.
Step-by-step explanation:
select the correct answer
which of these graphs represents a function?
If m ZABD = 83º, what are mZABC and m ZDBC?
3x+33° D
(Ex-6)°
B
mZABC = °
Answer:
∠ ABC = 48°
Step-by-step explanation:
∠ ABC + ∠ DBC = ∠ ABD , that is
6x - 6 + 3x + 8 = 83
9x + 2 = 83 ( subtract 2 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ABC = 6x - 6 = 6(9) - 6 = 54 - 6 = 48°
