Answer:
42.7
Step-by-step explanation:
Item 28 A red, green, and blue book are on a shelf. You randomly pick one of the books. Without replacing the first book, you choose another book. What is the probability that you picked the red and blue book
Simon's salary has increased by 6% p.a. over the past three years. it is now $35730.40 p.a.
a) what did he earn per year three years ago
b) what is his gross monthly salary at the present rate
c) His deductions each month amount to 22.5% of his gross salary. what is his net pay per month?
Answer:
Step-by-step explanation:
The employee earns $10,100/month, with his employer paying 1.5 times the regular rate of pay for overtime hours. To date, he has earned $124,740 during the year. He has requested that his employer withhold 12% of gross pay, which is to be contributed to a 401(k) plan. Taxable income for federal income tax withholding = $
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The Simon's salary at present = $35730.40 p.a.
Increased rate = 6% = 0.06
(a) Simon's salary three years ago:
⇒ [tex]\$35730.40(0.06)[/tex]
⇒ [tex]\$2143.824[/tex]
Original salary of Simon,
⇒ [tex]35730.40-2143.824[/tex]
⇒ [tex]\$33586.576[/tex]
(b) Gross monthly salary at the present:
⇒ [tex]\frac{33586.57}{12}[/tex]
⇒ [tex]2798.88[/tex]
(C) Net pay per month:
Deductions each month amount to 22.5% of his gross salary,
⇒ [tex]22.5\%=0.225[/tex]
⇒ [tex]2798.88(0.225)[/tex]
⇒ [tex]\$629.79[/tex]
Thus net pay per month,
⇒ [tex]2798.88-629.79[/tex]
⇒ [tex]\$2169.09[/tex]
Hence we can conclude that
(a) Simon's salary three years ago is $33586.576.
(b) Gross monthly salary at the present is $2798.88.
(C) Net pay per month is $2169.09.
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Data that's displayed randomly on a scatter plot graph illustrates (please help asap!)
positive correlation.
negative correlation.
none of these.
no correlation.
Subtract.
(2/9v)-(-1/3v+5/9)
Answer:
Use Desmos the calculator
Step-by-step explanation:
HELPP SOMEONEEE plssss
Answer:
m=15d
Step-by-step explanation:
m=15d
m=15x20
m=300
300 messages
PLSSSSSS HELPPPPP ASAPPPP
Answer:
I believe its C
Step-by-step explanation:
If you take the coordinates of each point then you will realize all of them went 1 unit up and 9 units to the left.
15 POINTS! (sorry this question deserves way more than 15 points but it's all I have rn) BE A ANGEL AND HELP ME PLEASE, AND THANK YOU I LOVE YOU SM IF YOU DO I APPRERCIATE YOU!!!
1. What is the range of the function y = x^2?
a. all real numbers
b. x ≥ 0
c. y ≥ 0
2. In which quadrants is the ordinate positive?
a. I and II
b. II and III
c. I and IV
3. Which of the following ordered pairs lies on the graph of h(x) = -2x^2?
a. (1, -4)
b. (1, -2)
c. (1, 4)
4. Select all of the following points that lie on the graph of f(x) = 7 - 3x.
(-2, 1) (-1, 10) (0, 7) (1, 5) (2, 1)
5. The set of independent variables of a function is the
a. domain
b. range
c. relation
6. If h(x) = 5 for the function h(x) = 2x + 1, what is the value of x?
a. 2
b. 11
c. 12
7. Find f(6) if f(x) = x^2 ÷ 3 + x.
a. 4
b. 10
c. 18
8. (-3, 5) is located in _____.
a. Quadrant I
b. Quadrant II
c. Quadrant III
d. Quadrant IV
Answer:
i know number 8 is B but that's all sorry
Step-by-step explanation:
) Hiroki's goal is to collect $40 for a school fundraiser. He has already collected $26.50. Hiroki wants
to know how much more money he needs to collect.
that use the word correctly
ices, press the "Check Me" butto
6 POTE
.) Let m be the amount of money Hiroki still needs to collect.
Describe the situation with an equation.
this town made the first eleva
er and wrote a note on it
vater from the sink is leaking
color of copper coins
m
26.50
40
corper pipes for this project
De
Answer:
$13.50
Step-by-step explanation:
Subtract 40 from 26.50 to get the answer
Espano
Two trains leave stations 196 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 60
miles per hour. How long will it take for the two trains to meet?
Answer:
The time at which the two trains will meet is 1 hour and 24 minutes
Step-by-step explanation:
The distances between the two trains = 196 miles
The direction of the two trains = Towards each other
The speed of one of the trains = 80 miles per hour
The speed of the other train = 60 miles per hour
Let 't' represent the time at which the two trains meet, we have;
80·t + 60·t = 196
∴ 140·t = 196
t = 196/140 = 7/5
The time at which the two trains will meet, t = 7/5 hours = 1.4 hours = 1 hour, 24 minutes.
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. The total includes the cost of each sub, plus the delivery fee.
Answer:
cost of each sub = $6, delivery fee = $2
Step-by-step explanation:
Let $x be the cost of each sub and $c be the delivery fee
3x + c = 20
4x + c = 26
x = 6, c = 2
Plllease helpp me!!!!!!
Answer:
a) KJL = 76⁰
b) LKM = 76/2 = 38⁰
Answer:
∠KJL = 76°
∠LKM = 38°
Step-by-step explanation:
since arc KL = 76°, ∠KJL also = 76° because central angles are congruent to their arcs.
∠LKM = 1/2 arc KL = 1/2(76°) = 38°
Help plz!!!!!!! Help plzzzz!!!!!!
Graph the line with the equation y=-1÷5×-3
Answer:
Step-by-step explanation:
Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?
A.
37.68 ft2
B.
113.04 ft2
C.
18.84 ft2
D.
144 ft2
PLease help!!
Answer:
B.
Step-by-step explanation:
I think B is the answer.......
Find the standard deviation for the test scores
given in the following stem-and-leaf plot.
which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2
Answer:
(1.25, -1.5)
Step-by-step explanation:
The system of equations:
y = -2x + 1
y = -3/2
So we know that the two lines meet at the point where y = -3/2 = -1.5
∴ -1.5 = - 2x + 1
2x = 1 + 1.5 = 2.5
x = 2.5 ÷ 2 = 1.25
So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)
Write an equation in slope-intercept form given the information about each line.
10. slope = 4, goes through the point (3, 10)
Answer:
y = 4x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4 , then
y = 4x + c ← is the partial equation
To find c substitute (3, 10) into the partial equation
10 = 12 + c ⇒ c = 10 - 12 = - 2
y = 4x - 2 ← equation of line
Find the area of the triangle below.
Answer:
area of a triangle is 1/2×h×b
Step-by-step explanation:
1÷2×12×13
=78
Which equations represent linear functions? Select all that apply.
y=−x2+4y is equal to negative x squared plus 4
y=5−x2y is equal to 5 minus x over 2
x−3y=3x minus 3 y is equal to 3
8y=6x8 y is equal to 6 x
y=6x
Answer: x-3y=3x
8y=6x8
y=6x
Step-by-step explanation:
Meaning of linear equationA linear equation is a equation that goes at a constant pace and won't change overtime, so functions like x squared and functions that multiply x and y together doesn't go at a constant pace, there not linear equations, but functions like y=mx, M representing any constant, that is a linear equation, therefore x-3y=3x8y=6x8
y=6x
Are the answers to your Question,The equations that represent linear functions are x − 3y = 3x and y = 6x , so options D and E are correct.
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line. Functions like y = mx, where m can be any constant, are considered linear equations.
The given equations,
y = −x² + 4y, y = 5 − x²y, 8y = 6x⁸y on solving get a degree more than 1 then the equation is a linear function, only
x − 3y = 3x
3y = -2x and y = 6x have degree one, so they are linear
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The diameter of a circle is 3.2 centimeters. What is the circle's area?
Use 3.14 for and round your answer to the nearest hundredth.
Answer:
I think 8
Step-by-step explanation:
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4
Find the exact volume of the cone. Write your answer in terms of π.
Answer:
448π ft³
Step-by-step explanation:
formula of volume of cone= 1/3× πr²h
r= 8ft
h= 21ft
pitting these values in the formula
Find the circumference of the given circle. Use 3.14 for pi, and round your answer to the nearest tenth.
A) 59 in
B) 29.5 in
C) 19.2 in
D) 554.3 in
Answer:
Sorry, I can't complete this without knowing the radius, or diameter.
Step-by-step explanation:
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
RQ
Step-by-step explanation:
ML:RQ = MN:RS = LN:QS (corr side, similar triangles)
A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.
Answer:
B. the number of dimes will always be an even number
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
write a unit rate for 25 pounds in 10 weeks
Step-by-step explanation:
Answer:
= 2.5 Pounds per Week
Showing Work
This is a fraction equal to
25 Pounds ÷ 10 Weeks
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 10
25 Pounds ÷ 10
10 Weeks ÷ 10
=
2.5 Pounds÷1 Week
=
2.5 Pounds
__________
Week
= 2.5 Pounds per Week
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
1/2
Step-by-step explanation:
DA: UR = 2:4
We come up with the conclusion that Quad ABCD : QuadRSTU = 1:2
Describe the behavior of the graph below.
A.The graph is decreasing for all values of x.
B.
The graph is increasing for all values of x.
C.
The graph is decreasing only when x > 0.
D.
The graph is increasing only when x > 0.
The behavior of the function represented by the given graph: A) The graph is decreasing for all values of x.
What is behavior of function?As part of exploring how functions change, we can identify intervals over which the function is changing in specific ways. We say that a function is increasing on an interval if the function values increase as the input values increase within that interval. Similarly, a function is decreasing on an interval if the function values decrease as the input values increase over that interval.
In the given graph, the value of y decreases as x increases. Therefore, the given graph represents a decreasing function.
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Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answer:
R' = (0,7)
Step-by-step explanation: