Answer:
$109.45
Step-by-step explanation:
On Monday in the morning you worked 4 hours, so plug in the equation.
12.50(4)= $50
On Monday in the afternoon you worked 4 hours and 45 min
12.50(4) = $50
Then do 12.50/60 to get .208 ≈ .21
So 45(.21) = $9.45
50 +50 + 9.45= 109.45
Greg bought a new car for £18000
In the first year the value of the car depreciates by 30%
In the second year and third year the car depreciates by 14%
Work out the value of the car after 3 years
The value of the car after 3 years is £ 9318.6.
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is.
First, the value of car after one year
= 18000 x (1- 30%)
= 18000 x 70%
= 18000 x 0.7
= 12600
now, the value of car after two year
= 12600 x (1- 14%)
= 12600x 86%
= 12600x 0.86
= 10836
and, the value of car after three year
= 10836 x (1-14%)
= 10836 x 86%
= £ 9318.6
Hence, the value is £ 9318.6
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determine whether the geometric series is convergent or divergent. (4 − 7 49 4 − 343 16 )
The common ratio 'r' is not constant, meaning that the series is not geometric.
Define the term geometric series?Each term in a geometric series is created by multiplying the previous term by a fixed constant known as the common ratio.
To determine if the geometric series (4, -7, 49, -343, 16) is convergent or divergent, we need to find the common ratio 'r' of the series.
r = (next term) / (current term)
r = (-7) / 4 = -1.75
r = 49 / (-7) = -7
r = (-343) / 49 = -7
r = 16 / (-343) = -0.0466...
We can see that the common ratio 'r' is not constant, meaning that the series is not geometric, and therefore we cannot determine if it is convergent or divergent.
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Given that the student chosen was a female, find the probability that the student chose invisibility as their superpower. P\left( \text{invisibility }| \text{ female} \right)=P(invisibility ∣ female
Answer:
\(P(Invisibility | Female) = \frac{2}{3}\)
Step-by-step explanation:
Given
See attachment for two-way table
Required
Determine \(P(Invisibility | Female)\)
This is calculated using the following formula for conditional probability:
\(P(Invisibility | Female) = \frac{n(Invisibility \& Female)}{n(Female)}\)
From the attached table
\(n(Invisibility \& Female) = 32\)
\(n(Female) = 48\)
So, the equation becomes:
\(P(Invisibility | Female) = \frac{32}{48}\)
Simplify
\(P(Invisibility | Female) = \frac{32/16}{48/16}\)
\(P(Invisibility | Female) = \frac{2}{3}\)
(a) Can a triangle have two obtuse angles? (b) Can a triangle have two right angles? (c) Suppose no angle of a triangle measures more than 60°. What do you know about the triangle?
(a) No, a triangle cannot have two obtuse angles. (b) No, a triangle cannot have two right angles.
(c) If no angle of a triangle measures more than 60°, then the triangle is an acute triangle.
(a) In a triangle, the sum of all three angles must be 180°. Since two obtuse angles would sum to more than 180°, it is not possible for a triangle to have two obtuse angles.
(b) In a triangle, the sum of all three angles must be 180°. Since two right angles would sum to 180°, it is not possible for a triangle to have two right angles.
(c) In an acute triangle, all three angles are less than 90°. If no angle of a triangle measures more than 60°, then all three angles are less than 90°, making it an acute triangle.
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Patrick has $150 in his wallet. Four weeks later, Patrick has $80 in his wallet. Which two following expressions are equivalent to average weekly change in the amount of money in Patrick's wallet over this time?
A.) 2/25
B.) 35/2
C.) 35/-2
D.) -35/2
E.) -35/-2
By taking the quotient between the change in the money and the total time in which the change of money happened, we conclude that the average weekly change is $35/2, so the correct option is B.
How to get the average weekly change in the amount of money in Patrick's wallet over this time?
The average weekly change will be given by the quotient between the change in the money and the total time in which the change of money happened.
We know that the initial amount of money is $150, and at the end he has $80, so the difference in money is:
d = $80 - $150 = -$70
The negative sign is because the amount of money decreases.
While it happens four weeks after, then the average weekly change in the amount of money is:
A = $70/4 = $35/2
So we conclude that the correct option is B.
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The grid you see below is in the shape of a rectangle. What is the area, in square units, of the shaded part?
Answer:
8 units²
Step-by-step explanation:
The area (A) of the shaded part (right triangle ) is calculated as
A = \(\frac{1}{2}\) × area of rectangle
= 0,5 × 4 × 4 = 0.5 × 16 = 8 units²
Answer:
8 units ^2 are shaded
Step-by-step explanation:
The total area of the square is 4 * 4 = 16
1/2 of the square is shaded so
1/2 * 16 = 8
8 units ^2 are shaded
Matthew and Guadalupe are reading the same book. At the beginning of the month,
Matthew was on page 21 and Guadalupe was on page 42. Matthew will read 18 pages
per day and Guadalupe will read 11 pages per day. Let M represent the page of the
book that Matthew is on at the end of t days into the month, and let G represent the
page of the book that Guadalupe is on at the end of t days into the month. Write an
equation for each situation, in terms of t, and determine what page Matthew and
Guadalupe will be on on the day they are both on the same page.
M=?
G=?
Answer: Page?
The equations are:
M = 21 + 18t
G = 42 + 11t
The page they would be on is 75 pages.
What pages would they be on?The linear equation that represents the total number of pages read by each person at day t, is :
Total pages read = pages read at the beginning of the month + (number of pages read per day x number of days)
Total pages read by Matthew = 21 + (18 x t)
= 21 + 18t
Total pages read by Guadalupe = 42 + (11 x t)
= 42 + 11t
When they are on the same page, the two above equations would be equal:
21 + 18t = 42 + 11t
18t - 11t = 42 - 21
7t = 21
t = 21 / 7
t = 3 days
Page they would both be on = 21 + 18(3)
21 + 54 75 pages
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solve by using subsitution or elimnation by addition. 4x-3y=3 -8x 6y=-6
If we solve 4x-3y=3, -8x +6y=-6 by substitution or elimination, we will have x=3/4 and y=0
We have the following simultaneous equations:
4x-3y=3.....................(i)
-8x+6y=-6..................(ii)
We solve using substitution:
Make x the subject of formula in equation(i):
4x=3+3y
x=(3+3y)/4
Now, replace the value of x in equation(ii)
-8x+6y=-6, and x=(3+3y)/4
-8((3+3y)/4)+6y=-6
-2(3+3y)+6y=-6
-6-6y+6y=-6
y=0
Now, we replace the value of y=0 in any equations we have to find the corresponding value of x:
4x-3y=3, but y=0
4x-3(0)=3
4x=3
x=3/4
Hence, x=3/4, y=0
The question was incomplete, the complete question is given below:
solve by using substitution or elimination by addition. 4x-3y=3 -8x+6y=-6
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Ms. Emily buys a hat and gloves with a coupon for 30% off her entire purchase. The gloves cost $35 before the discount. Her bill before tax is $44.80.
Write an equation to find the original cost of the hat, x.
Enter the correct equation in the box.
HELPPPP ! COREECT ANSWER GETS BRAINLIEST
Answer:
B is the answer
Step-by-step explanation:
Answer:
14.56 is your answer
Step-by-step explanation:
a^2+b^2=C^2
4^2+14^2=C^2
16+196=C^2
C^2=212
*find the square root*
there is your answer
I need a good joke :D
Answer:
My life
Step-by-step explanation:
The elevator can hold at most 20 people. Which inequality shows the capacity of the elevator.
A
x ≤ 20
B
x > 20
C
x < 20
D
x ≥ 20
Answer:
A x ≤ 20
Step-by-step explanation:
please answer due today
Answer:
1) 5y^2 + 9
2) 23x + 6
Step-by-step explanation:
1) Distribute the negative sign.
2) Combine like terms.
3) You have your answer at this point.
Pls help its due tomorrow
The perfect squares approximation method is a technique used to quickly estimate the square root of a number without using a calculator.
Perfect squares approximation methodIt involves finding the nearest perfect square to the given number, and then using the difference between the two numbers to make an estimate of the square root.
Here's how it works:
Find the nearest perfect square to the number you want to take the square root of. For example, if you want to find the square root of 27, the nearest perfect square is 25.
Subtract the perfect square from the original number. In this case, 27 - 25 = 2.
Take the square root of the perfect square. In this case, the square root of 25 is 5.
Divide the difference you found in step 2 by twice the perfect square root from step 3. In this case, (2 / (2 x 5)) = 0.2.
Add the result from step 4 to the perfect square root from step 3. In this case, 5 + 0.2 = 5.2.
Therefore, the square root of 27 is approximately 5.2.
Note that this method gives an approximate answer and may not be as accurate as using a calculator or other methods. It is useful, however, for quickly estimating the square root of a number.
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A. 8.06
B. 8.1
C. 8
D. 65
Answer:
its c
Step-by-step explanation:
Help me please!
Mathematics
Answer:
x=12
Step-by-step explanation:
i'm assuming the numbers are the lengths of each segment. 8/24 = 1/3, so 4/x=1/3, cross multiply to get x=12
When a customer places an order at Ying Ying's bakery, there is an 8%, percent probability that the customer will report a food allergy. One day, 12 customers place orders at Ying Ying's bakery. Assuming that each of the 12 customers is equally likely to report a food allergy, what is the probability that at least one customer will report a food allergy?
At Ying Ying's bakery, there's an 8% probability that a customer will report a food allergy.
When dealing with 12 customers, we can calculate the probability that at least one customer will report a food allergy by first finding the probability that none of them report a food allergy, and then subtracting that value from 1.
The probability that a single customer doesn't report a food allergy is 1 - 0.08 = 0.92. For all 12 customers not to report a food allergy, the probability is 0.92^12 = 0.3981 (rounded to four decimal places).
Now, subtract this probability from 1: 1 - 0.3981 = 0.6019.
Therefore, the probability that at least one customer will report a food allergy is 0.6019 or 60.19%.
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a parachutist rate during a free fall reaches 132 feet per second. what is this rate in meters per second? at this rate, how many meters will the parachutist fall during 10 seconds of free fall. in your computations, assume that 1 meter is equal to 3.3 feet. (do not round your answer)
Parachutist's rate during free fall is 40 meters per second and will fall approximately 490 meters during 10 seconds of free fall.
How to convert feet to meters?First, we need to convert 132 feet per second to meters per second. We know that 1 meter is equal to 3.3 feet, so we can use the following conversion factor:
\($\frac{3meter}{3.3 feet}\)
To convert feet per second to meters per second, we can multiply by the conversion factor:
\(132 (\frac{1}{3.3} ) = 40 meters/second\)
Therefore, the parachutist's rate during free fall is 40 meters per second.
Next, we can use the following formula to find the distance the parachutist falls during 10 seconds of free fall:
distance =\(\frac{1}{2}\) * acceleration * time²
where acceleration due to gravity is approximately 9.8 meters/second^2.
Substituting the given values, we get:
distance = \(\frac{1}{2}\) * 9.8 meters/second² * (10 seconds)²
distance = 490 meters
Therefore, the parachutist will fall approximately 490 meters during 10 seconds of free fall.
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THIS IS A HARD QUESTION HOPE YOU CAN SOLVE
Answer:
The triangles are congruent so AB=DE=6
AB=6
angle F= angle C
so F=50 degrees
Step-by-step explanation:
Which of these are polygons?
Answer:
B , C , D are polygons.I guess part 3 of my hw?
if you wanted to examine whether the degree of parental involvement differs based on students’ grade in school (i.e., first, second, third, etc.), what is the dependent variable of interest?
The dependent variable of interest in examining whether the degree of parental involvement differs based on students' grade in school is the degree of parental involvement.
In this scenario, the independent variable is the students' grade in school (i.e., first, second, third, etc.). The dependent variable is the variable that is expected to be influenced by the independent variable. In this case, the dependent variable of interest is the degree of parental involvement.
The degree of parental involvement refers to the level or extent to which parents are engaged in their child's education and school-related activities. It can encompass various aspects, such as attending parent-teacher meetings, volunteering at school, helping with homework, and participating in school events.
By examining whether the degree of parental involvement differs based on students' grade in school, researchers or educators aim to explore any potential patterns or differences in parental involvement as children progress through different grade levels. This investigation can provide insights into how parental involvement may vary across grade levels and inform strategies to enhance parental engagement in education at specific stages of a child's schooling. Thus, the dependent variable of interest is the degree of parental involvement.
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find three examples of corporate logos. do they incorporate symmetry? if so, and what kind? your response should be 3-5 sentences long
Answer:
Symmetry is the property of an object to retain its shape even if it is turned or turned.
The three corporate logos are McDonald, Shell, Snapcaht
McDonald company logo is symmetrical and it is a reflective symmetry.
Shell logo is symmetrical and it is also reflective symmetry.
Snaphcat logo is symmetrical and it is also reflective symmetry.
Dad is building a new fence. He has 200.6 yards of wire for the east side of the fence and 187.4 yards of wire for each of the north and south sides of the fence. How many yards of wire does Dad have to build his fence?
Answer: 776.0 Yards
Step-by-step explanation:
200.6 x 2 = ?
187.4 x 2 = ?
Add those two together and you got your answer!
This seems easy but i’m not sure how to do it, anyone know the answer
5. suppose waiting time until the next failure of oil pump system is exponentially dis tributed, with mean of 37 hours. the pump is continuously in operation. what is the probability that the system does not fail for 2 days?
The Probability that the system does not fail for 2 days is 0. 053
Given ,
Mean (u) = 37 hours .
Step 1 : Calculate the rate parameter, λ.
λ = 1/ mean
λ = 1/ 37 = 0.02703
Step 2 : Find the probability that the system does not
fall for two days, P ( x\(\leq\)2 )
P ( x\(\leq\)2 ) .= 1 - e power (lamda(x))
= 1 - e - 2(lamda)
= 1 - e power -2(0. 02703 )
By solving,
P ( x\(\leq\)2 ) = 0.05263
P ( x\(\leq\)2 ) = 0. 053 [ upto three decimals]
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This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. PARKS Rachelle wants to determine the best state park for hiking and fishing. She has developed a metric based on the information she has gathered and the best catch from her previous fishing trips to the parks. Part A Use the metric to calculate a score for each park. Round to the nearest tenth. Park Score = 100[0.2(online rating5)+0.4(miles of trails25)+0.4(fish weight10)] State Park Online Star Rating Hiking Trails (mi) Best Fish (lb) Park Score Gooseberry Falls 4.8 20 9.8 Lake Maria 4.3 14 8.2 Maplewood 4.9 25 7.3 Camden 4.3 15.8 10.1 Part B Part B How might someone who enjoys hiking much more than fishing change this metric? 100 words remaining Tools are not currently accessible
Answer:
Step-by-step explanation:
20 points!
Please draw this out on a number line so I have a direct answer, thank you! :D
Answer:
see attached
hope it helps!
A sawmill cuts boards that are 16 ft long.After they are cut, the boards are inspected and rejected if the length has a percent error of 1.5% or more.
1) List some board lengths that should be accepted.
2) List some board lengths that should be rejected.
The sawmill also cuts boards that are 10,12 and 14 feet long.An inspecter rejects a board that was 2.3 in too long. What was the intended length of the board?
Some acceptable board lengths are: 15.8 ft, 16.20 ft and 16.10 feet
Some board lengths to reject are: 14.8 ft, 17.20 ft and 12.10 feetThe intended lengths are 10.19, 12.19 and 14.19 feetBoard lengths that should be acceptedFrom the question, we have the following parameters that can be used in our computation:
Length = 16 ft
Percent error = 1.5%
This means that the acceptable lengths are
Acceptable = Length ± Percent error * Length
Substitute the known values in the above equation, so, we have the following representation
Acceptable = 16 ± 1.5% * 16
So, we have
Acceptable = 16 ± 0.24
Evaluate
Acceptable = 15.76 to 16.24
Some board lengths that should be accepted are 15.8 ft, 16.20 ft and 16.10 feet
Board lengths that should be rejectedIn (a), we have
Acceptable = 15.76 to 16.24
Some board lengths that should be rejected are 14.8 ft, 17.20 ft and 12.10 feet
The intended lengths of the boardsHere, we have
Lengths = 10, 12 and 14 feet
Length too long = 2.3 inches
Convert to inches
Length too long = 0.19
So, we have
Intended lengths = (10, 12 and 14 feet) + 0.19
Evaluate
Intended lengths = 10.19, 12.19 and 14.19 feet
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write your answer as a mixed number in simplest form
Answer:
2 5/12
Step-by-step explanation:
You put it so that the denominators are the same so in this case I used 12 as the denominator and used the rule for each. Next I subtracted 3 9/12 minus 1 4/12 and got 2 5/12