Adjoa take-home pay earned for the past month is Ghc4,265.46
From the question,
We are to determine the amount of take-home pay Adjoa earn the past month
From the given information, we have that
Adjoa’s gross salary for last month was Ghc4,687.24
Also
Ghc421.78 was deducted from Adjoa’s salary pay
To determine how much take-home pay Adjoa earn the past month,
We will subtract the amount deducted from Adjoa’s salary pay from Adjoa’s gross salary for last month
That is,
Adjoa take-home pay = Ghc4,687.24 - Ghc421.78
Adjoa take-home pay = Ghc4,265.46
Hence, Adjoa take-home pay earned for the past month is Ghc4,265.46
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The figure below has a volume of 60 cubic units. How many more cubes will it take to fill the figure?
Answer:
55
Step-by-step explanation:
Answer:
55 cubic units
Step-by-step explanation:
you subtract 60 and the amount of cubes there are (5)
60-5=55
Please hurry, will mark brainliest if you answer correctly
Answer:
10
Step-by-step explanation:
according to BODMAS
6÷2=3
3+3=6
4^2=16
16-6=10
What is the length for X
Answer:
x = 5
Step-by-step explanation:
3^2 + 4^2 = x^2
9 + 16 = x^2
25
Now we need to find the square root of 25 :)
The answer is 5
X = 5
Have a great day!!
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Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour
3/8 of {38/5-1/3{5/4+10/3}×12/5
Answer:
1863/275=6.7745recurring
Step-by-step explanation:
Dont u have a calculator
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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If f(x) = 2x² +5 and g(x)=x2-2, find (f-g)(x).
A. x^2+3
B. 3x^2+3
C. 3x^2+7
D. x^2+7
Answer:D. x^2+7
Step-by-step explanation:
If f(x) = 2x² +5 and g(x)=x2-2, find (f-g)(x).A. x^2+3B. 3x^2+3C. 3x^2+7D. x^2+7
Give the truth values of the propositions.
a. If only every morning could be as sunny and clear as this one!
b. Fifteen is an even number.
c. If Jennifer is late for the party, then her cousin Zachary will be quite angry.
d. On June 30, 1986, Christine Marie Evert had won the French Open seven times.
Answer:
THE ANSWER IS C
Step-by-step explanation: BECAUSE IT IS I
A proposition exists in this statement. Until we know if Jennifer will be late for the party and whether her cousin Zachary would become irate if she is, we cannot determine its true value. The right answer is C.
What is a preposition?a. Because it is not a declarative sentence that can be either true or incorrect, this statement cannot be considered a proposition. Instead of expressing reality, it reflects hope or desire.
b. False. Fifteen is an odd number, not an even number.
c. A proposition exists in this statement. Unless we know if Jennifer will be late to the party and whether her cousin Zachary would become irate if she is, we cannot determine its veracity.
d. False. Chris Evert didn't win the French Open seven times on June 30, 1986; he only did so five times.
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Write an explicit formula for an, the nth term of the sequence 30, 35, 40
Answer:
The sequence is increasing by 5 at each step. So, we can write:
a1 = 30
a2 = 30 + 5 = 35
a3 = 30 + 25 = 40
a4 = 30 + 35 = 45
a5 = 30 + 4*5 = 50
We notice that the nth term is given by:
an = 30 + (n-1)5
So, the explicit formula for the nth term is:
an = 25n + 5
3x + 5 = x - 3
Due today (in 10 minutes)
Answer:
I hope that helps!
x = -4
64 players started how many left after 3 rounds
Answer: 8
Step-by-step explanation:
I do not understand the question. But if my interpretation is correct, then:
If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.
Miss Patterson is getting married soon. She would like to hire a professional who will
come to her house and do hair and makeup for the bridal party on her wedding day.
She has narrowed it down to two possible choices. A woman from Burlington Salon
charges an initial fee of $30 and then an additional $20 per hour. Alternatively, a team
from Beauty by Dirk offers a free consultation and then charges a higher hourly rate of
$30. If it takes a certain amount of time to finish everyone's hair and makeup, Miss
Patterson will end up paying the same amount either way. How much would Miss
Patterson end up paying?
a) Write a system of linear equations to represent this situation.
b) Graph that system (assume the graph is increasing by 10s rather than 1s).
C) Find the solution and explain what it means.
Answer:The first team
Step-by-step explanation:The first team charges least and 30 dollers a hour is alot if the time gets 5-10 hours.
Your welcome!
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent of them are in the 10th grade.
To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade?
14%
17%
55%
67%
Answer: 14%
Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.
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What is the area of the triangle? Make me brainlest pleas
Answer:
i looked it up
Step-by-step explanation:
Maria doesn’t address a notice that she received earlier regarding some incomplete information in her patent application. What notice does the patent office send her regarding this? A. Notice of Allowance B. Non Final Office Action C. Final Office Action D. Examiner's Amendment
Answer:
D. Examiner's Amendment
Step-by-step explanation:
Maria most likely received an Examiner's Amendment letter from the Patent Office regarding her patent. This letter is sent when there are informalities, errors, or missing information from the submitted patent. It is sent to the individual that submitted the patent so that they may correct these and resubmit so that the patent office can continue verifying the patent with all the necessary information to continue the process. Since Maria's patent had incomplete information this was most likely what she received.
Answer:
the correct answer is C. Final Office Action
Step-by-step explanation:
i just took the test and i got it right, edmentum
35 percent of a number is what fraction
The midpoint of JK
is M(6, 3). One endpoint is J(14, 9). Find the coordinates of endpoint K.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 60%pure antifreeze. The company wants to obtain 240 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
The amount of gallons of water is 160 and gallons of the premium antifreeze solution that must be mixed is 80.
How to find the volume of water?Let y represent the volume of water
Hence,
Total volume equation :
x +y = 240 equation 1
Pure antifreeze volume:
0.60 = .20 × 240 gallons equation 2
Hence,
Equation 2
x = .20 × 240 /.60
x = 48 /.60
x = 80 (Pure antifreeze)
So,
y = 240 -80
y = 160 gallons of water
Therefore the volume of water is 160 gallons.
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Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 16 trees in a park, what is the following probabilities:
(a) All the trees survive one year.
(b) At least 14 trees survive one year.
Answer:
Pr(all will survive in one year) = 0.35 to 2 decimal places
Pr(at least 8 will survive) = 0.39 to 2 decimal places.
Step-by-step explanation:
Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1
This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.
Probability that if 10 trees are planted, all will survive for one year is:
0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349
Probability that at least 8 will survive in one year can be expressed as
8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived
= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391
Step-by-step explanation:
1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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Find the slope of the line that passes through (9, 6) and (6, 2).
Answer:
4/3 not sure
i hope its hepls
Answer:
y2 - y1/ x2 - x1
6 - 6/2 - 6 = 0/-4 = 0
Step-by-step explanation:
(a) Angela and Barbra decided to start a business together. Angela invested $24000 and Barbara invested
$16000. They share all profits in the same ratio as the money was invested. they made a
total profit of $15000 at the end of the year, how much money did each person recieve?
(b) sum of money is shared among two friends in the ratio 4:9. If the smaller amount is $560, find the
larger amount.
(c) The sum $4500 is divided among Anesha, Sian and Joanne. Sian received half, Anesha received $1050
and Joanne recieved the remainder. Calculate:
i. Sian's share
ii. Joanne's share
iii. The ratio in which the $4500 was divided among the three persons in simplest form.
9514 1404 393
Answer:
(a) A : B = $9000 : $6000
(b) $1260
(c) A : S : J = $1050 : $2250 : $1200 = 7 : 15 : 8
Step-by-step explanation:
(a) The investment ratio is ...
Angela : Barbara = 24000 : 16000 = 3 : 2
The profit of 15,000 goes 3/(3+2) = 3/5 to Angela, and 2/5 to Barbara:
Angela's share: (3/5)($15,000) = $9,000
Barbara's share: (2/5)($15,000) = $6,000
__
(b) We can multiply the ratio by $140 to see the larger amount:
4 : 9 = ($140)(4) : ($140)(9) = $560 : $1260
The larger share is $1260.
__
(c) Sian gets (1/2)($4500) = $2250. Anesha gets $1050. So Joanne gets ...
$2250 -1050 = $1200
Then the shares are ...
i. Sian: $2250
ii. Joanne: $1200
iii. Ratios: A : S : J = 105 : 225 : 120 = 7 : 15 : 8
Find the horizontal and vertical intercepts for
r4 + s2 − r s = 16
, if the r-axis is the horizontal axis and the s-axis is the vertical axis.
Here, we are required to find the vertical and horizontal intercepts for r⁴ + s² − r s = 16.
The vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
According to the question;
the r-axis is the horizontal axis.the s-axis is the vertical axis.Therefore, to get the horizontal intercepts, r we set the vertical axis, s to zero(0).
i.e s = 0the equation r⁴ + s² − r s = 16, then becomes;r⁴ = 16Therefore, r = ±2.Also, to to get the vertical intercepts, s we set the horizontal axis, r to zero(0).
i.e r = 0.the equation r⁴ + s² − r s = 16, then becomes;s² = 16.Therefore, s = ±4.Therefore, the vertical and horizontal intercepts are s = ±4 and r = ±2 respectively.
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A student is solving the problem
x^2 + 10x + _ = 16 + _
by method of completing the square. What number should the student add to both sides?
A. 4
B. 16
C. 25
D. 5
We should add 25 both side by method of completing the square.
We have to given that;
A student is solving the problem
x² + 10x + _ = 16 + _
Now, We can completing the square as;
⇒ x² + 10x + 5² = 16 + 5²
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 16 + 25
Hence, We should add 25 both side by method of completing the square.
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You deposit $5000 in an account earning 5% interest compounded continuously. How much will you have in the account in 5 years? Round to the nearest cent.
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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geometry need help asap
The value of angle LAF in the intersecting chords is determined as 104⁰.
What is the value of angle LAF?The value of angle LAF is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
m∠LAF = ¹/₂ (arc LF + arc YS)
From the diagram, we have arc LF = 160⁰ and YS = 48⁰
m∠LAF = ¹/₂ (160 + 48)
m∠LAF = 104⁰
Thus, the value of angle LAF is calculated by applying intersecting chord theorem.
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PLS ANSWER ASAP!!person with correct answer will be marked brainliest
Answer:
114
Step-by-step explanation:
angle one is vertical opposite angle and also angle on a straight line
When 40% of a number is added to the number, the result is 196.
What is the number?
Hey there! I'm happy to help!
Let's call this number n. We can now set up the following equation.
0.4n+n=196
We combine like terms.
1.4n=196
Divide both sides by 1.4
n=140.
Have a wonderful day! :D
What is the exact length of HG in cms
The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.
Considering angle G, lets find sin 45°\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)
[ sin 45° = 1/√2 ]
\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)
\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)
So, the side HG is b√2 cm long