Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, how much take-home pay did Adjoa earn this past month?
Adjoa’s gross salary for last month was Ghc4,687.24. If Ghc421.78 was deducted from Adjoa’s salary pay, the take-home pay that Adjoa earn in the past month is Ghc4,265.46
The gross salary is the amount received by an individual prior to the deduction of the taxes.
Given that:
Adjoa's gross salary for last month = Ghc4,687.24and Ghc421.78 was deducted from Adjoa's salary pay.Then, the take-home that Adjoa earned in the past month is calculated by removing the amount deducted from her gross salary.
i.e.
= Ghc4687.24 - Ghc421.78
= Ghc4,265.46
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Which of the following inequalities is represented by the number line?
Question 9 options:
A)
x ≥ 1
B)
x < 1
C)
x > 1
D)
x ≤ 1
Answer:
Step-by-step explanation:
x ≥ 1
Hope this helps!
close circle = ≥ or ≤
open circle = > or <
positive number = going to the right
negative number = going to the left
factorize completely the expression(h+2k)²+4k²-h²
Answer:
[tex]\rm 4k(2k+ h)[/tex]
Step-by-step explanation:
A expression is given to us and we need to factorise it . The given expression is ,
[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]
Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;
[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]
Simplify ,
[tex]\rm\implies 8k^2+4hk [/tex]
In the above expression 4k is common in both the terms , so that ,
[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]
The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
From the question,
We are to factorize the expression (h+2k)²+4k²-h² completely
The expression can be factorized as shown below
(h+2k)²+4k²-h² becomes
(h+2k)² + 2²k²-h²
(h+2k)² + (2k)²-h²
Using difference of two squares
The expression (2k)²-h² = (2k+h)(2k-h)
Then,
(h+2k)² + (2k)²-h² becomes
(h+2k)² + (2k +h)(2k-h)
This can be written as
(h+2k)² + (h +2k)(2k-h)
Now,
Factorizing, we get
(h +2k)[(h+2k) + (2k-h)]
Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
Learn more here:https://brainly.com/question/12486387
The graph shows the motion of a car on a highway.
Which statement describing the motion of the car is best supported by the graph?
Answer:
you didnt give the options .. but its going to be the one saying something like its staying the same speed.
The path of a baseball is given by the function: f(x)=-0.004x^2 + x + 3
, where f(x) is the height of the baseball (in feet) and x is the horizontal distance from home plate (in feet). Answer the following questions completely. Justify your answers algebraically.
(a) What is the maximum height reached by the baseball?
(b) If the baseball is not caught, how far from home plate does the ball hit the ground? Round your answer to one decimal place.
Answer:
The initial speed of the ball is 98.22 ft/s
The maximum height of the ball is 75.02 ft.
Step-by-step explanation:
Hi there!
Step-by-step explanation:
The position and velocity vectors of the ball can be calcualted as follows:
r = (x0 + v0 · t · cos α, y0 + v0 · t · sin α + 1/2 · g · t²)
v = (v0 · cos α , v0 · sin α + g · t)
Where:
r = position vector at time t.
x0 = initial horizontal position.
v0 = initial velocity.
t = time.
α = launching angle.
y0 = initial vertical position.
g = acceleration due to gravity (-9.8 m/s² considering the upward direction as positive).
v = velocity vector at time t.
Let´s call r final to the position vector when the ball is caught (see attached figure). The components of r final are:
x = 300 feet
y = 0
Then, r final = (300 feet, 0)
Notice that the origin of the frame of reference is located at the launching point.
Then, when the ball is caught:
300 feet = x0 + v0 · t · cos α
0 = y0 + v0 · t · sin α + 1/2 · g · t²
We have a system of two equations with two unknowns (t and v0), so, let´s solve it.
Let´s solve the first eqation for v0:
300 feet = x0 + v0 · t · cos α
Since the frame of reference is located at the launching point (x0 = 0). Then:
300 feet = v0 · t · cos 45°
300 feet /( t · cos 45°) = v0
Now, let´s replace v0 in the secod equation of the system:
0 = y0 + v0 · t · sin α + 1/2 · g · t² (y0 = 0)
0 = 300 feet/(t · cos 45°) · t · sin 45° - 1/2 · 9.8 m/s² · t²
0 = 300 feet · sin 45°/cos45° - 4.9 m/s² · t² (sin45°/cos45° = 1)
0 = 300 feet - 4.9 m/s² · t²
-300 feet = -4.9 m/s² · t²
-300 feet / -16.08 ft/s² = t²
t = 4.32 s
Now, we can calculate the initial velocity:
300 feet /( t · cos 45°) = v0
300 feet /( 4.32 s · cos 45°) = v0
v0 = 98.22 ft/s
The initial speed of the ball is 98.22 ft/s
To obtain the maximum height of the ball, we have to find at which time the ball is at its maximum height. We can do this in several ways, but we will use the equation of velocity. See in the figure that when the ball is at its maximum height, the y-component of the velocity is zero (because the vector is horizontal). Then, using the equation of the y-component of the velocity:
vy = v0 · sin α + g · t
0 = 98.22 · sin 45° - 32.15 ft/s² · t
(-98.22 · sin 45°) / - 32.15 ft/s² = t
t = 2.16 s
(Notice that this time is half the total time of flight calculated above (4.32 s). This is also the time at which the horizontal distance traveled by the ball is half the total horizontal traveled distance. This is so because the trajectory of the ball is a parabola).
Now that we have the time, we can calculate the y-component of the position vector (r1y in the figure).
r1y = v0 · t · sin α + 1/2 · g · t²
r1y = 98.22 ft/s · 2.16 s · sin 45° - 1/2 · 32.15 ft/s² · (2.16 s)²
r1y = 75.02 ft
The maximum height of the ball is 75.02 ft.
Solve for X in the questions
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
pls help this is due tonight
Answer:
3. 10
4. 6
5. 81,000
6. 36
7. x=-0.5
Step-by-step explanation:
3. 25-3(5)
4. 3 + 3
5. 81 x 1000
6. 4 x 9
Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x+4y-8
Answer:
[tex]y = 4x - 5[/tex]
Step-by-step explanation:
rewrite the equation
[tex]x + 4y - 8 = 0 \\ 4y = - x + 8 \\ y = - \frac{1}{4} x + 2[/tex]
perpendicular slope is a negative reciprocal. we will use the negative reciprocal to find the y-intercept
[tex]3 = 4(2) + b \\ 3 = 8 + b \\ b = - 5[/tex]
a rectangular prism has a length of 7.5m a height of 5m, and a volume of 225m³?
which steps are correct to find the width of prism? check all that apply.
Answer:
I'm too lazy to use a calculator but I'll explain the steps to you
Step-by-step explanation:
so basically all you have to do is you know that
volume=length*with*height
we already have the length and height
so do 7.5*5 on your calculator for me
and then divide that answer by 225
and then you will get your answer
excuse me for being lazy but at least I gave you your answer it's 4 am here
What is the measure of 1
Answer:60
Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120
n divided by 100 equal 0.982
Answer:
98.2
Step-by-step explanation:
100 x 0.982 = 98.2
98.2 / 100 = 0.982
Simplify the variable expression by evaluating its numerical part, and enter your answer below.
(13 - 6) • w
Answer:
7w
Step-by-step explanation:
Simplify the parenthesis first
(13-6)=7
Then multiply by the w
7*w=7w
(13-6)*w=7w
* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).
Bài 7. Biện luận theo tham số a hạng của các ma trận sau:
a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a
a
b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a
a
c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
Answer:A
Step-by-step explanation:A
HII i really need help
Answer:
when in doubt choose c
Step-by-step explanation:
Answer: 11/48 cubic feet
Step-by-step explanation:
alright ill try my best to explain
so you use the formula V = 22/21r^2h
where V is volume
r is radius
and h is height of cone
you simply plug in the values given in the question, so
V=22/21*1/2^2*7/8
so the answer would be 11/48 cubic feet
What is the answer to this question?
Rewrite 1/2 as 4/8
Now add 5 3/8 + 2 4/8
Answer: 7 7/8
How many 0.25 are there in 10.5?
Answer:
42
Step-by-step explanation:
to find how many 0.25 there are in 10.5 we have to divide 10.5 by 0.25
10.5÷0.25
=42
Hope this helped you- have a good day bro cya)
one step equations. due in 30 minutes pls help quick!!
Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it
Answer: Im 99.9% sure that its 4.48
Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48 :)
list the samples in order from least to greastest mass.
0.130 0.301 0.31 0.013
Answer: .013, .130, .301, .31
Step-by-step explanation:
I have more question then this
reflection over y axis...........
is 78.50 is the same as 78.5
Answer:
yes, 78.50 is the same as 78.5Step-by-step explanation:
You can consider 78.50 as 78.5, cause we basically remove the 0 from it. The whole point is, they are both the same.
Hello there!
Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.
Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK
Answer:
5
Step-by-step explanation:
f(-1) = -3(-1)^3 + 2(-1)^2
f(-1) = -3(-1) + 2(1)
f(-1) = 3 + 2
f(-1) = 5
Hope this helps! Pls give brainliest!
Answer:
5
Step-by-step explanation:
plug in -1 for x
so
[tex] -3 ({ - 1})^{3} + 2 ({ - 1})^{2} [/tex]
went we solve we get
[tex]3 + 2 \\ = 5[/tex]
so 5 is ur answer
pls give brainlist
if any questions ask
have a great day thanks :)
Type the missing numbers in this sequence:
93, __, __, 87, 85, 83
Answer:
if you noticed, it is reduces by 2
so the sequence would be
93, 91, 89, 87, 85, 83
-------------------------------------------------
Hope this helps!
Answer:
93,91,89,87,85,83
The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?
What is the probability that a K-cup will have more than .33 ounces?
Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?
K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"
In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces
The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?
Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequency table below.
Number
of Students Frequency
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
What is the class width for this Frequency Distribution Table?
Class width =
Using the information given, it is found that the class width for this frequency distribution table is of 1.
In this problem, these following classes are given:
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.
The difference between the bounds of the classes is of 1, thus, the class width is of 1.
A similar problem is given at https://brainly.com/question/24701109
does anyone know this???
Answer: y=5x-7
I hope this helps I would appreciate brainliest if possible :)
Which equation matches the table
x 0 1 2 3 4 5
y 5 6 7 8 9
Answer:
5 equation matches the table
at a baseball game, adult tickets cost $15 and children’s tickets cost $8. Twice as many children attended as adults, and the total ticket sales were $2480. How many people attended the game? Explain how you got your answer.
ei
Extend geometric sequences
You might need: Calculator
What is the next term of the geometric sequence?
250, 50, 10,
Show Calculator
Stuck? Review related articles/videos or use a hint.
Report a pro
Answer:
2
Step-by-step explanation:
Thats what I got im 99.9999% sure it's correct pls give brainy crown thing because I used real effort for this.
Solve pls brainliest
Answer:
In order: 7.5, 7.5061, 7.56, 9.213
Step-by-step explanation:
on his social studies test,cody answered 87 out of 95 questions correctly what portion of his answers was correct?write your answer as a decimal rounded to the nearest thousandth
Answer:
92%
Step-by-step explanation: