Answer:
$147.00 or $143.00
Step-by-step explanation:
not sure how much you had $3.00 or $7.00 but Im leanign towards $7.00. Is this a trick question?
Here we have an adding problem, where we just need to perform a direct sum of the given values.
We will see that the solution is $150.00
---------------------------
We need to see the given information.
Initially, you had $3.00
Then your Mother gives you $10.00, so now you have:
$3.00 + $10.00 = $13.00
Now your Dad gives you $30.00
Then you have $13.00 + $30.00 = $43.00
Now your Aunt and Uncle give you another $100.00
Then now you have $43.00 + $100.00 = $143.00
Finally, you had another $7.00, then you have:
$143.00 + $7.00 = $150.00
So the final answer is $150.00.
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find rate
a)the interest of Re.1 of 1 month is 1 paisa.
b)the interest of re.1 of 1 month is 2 paisa
Step-by-step explanation:
A.) Correct Answer: 12%
Given , Principle = ₹ 1 , Time = 1 month = ( 1 / 12 ) year and SI = 1 paisa = ₹ ( 1 / 100 )
As we know that ,
Rate =SI × 100Principal × Time
Rate =(1 ÷ 100) × 100= 12% p.a.1 × (1 ÷ 12)
B.) Correct Answer:
Answer:
See below ↓
Step-by-step explanation:
a) I = Prt
r = I/Ptr = 0.01/1x(1/12)r = 0.12r = 12%b)
r = I/Ptr = 0.02/1x(1/12)r = 0.24r = 24%Makayla bought 1/4 pound of ham and 5/8 pound of turkey. How much more turkey did she buy
pls help me solve this
(a) The vector equation of the line is r = (-2 - 4t, -1 + 5t).
(b) The point where the line in part (a) intersects the line s(t) = (4t + 3, -3t - 4) is (1/2, -33/8).
What is the vector equation?(a) The vector equation for the line that passes through the point (-2, -1) and is parallel to vector (-4, 5).
The vector equation of the line is written as;
r = P + tD
where;
r is the position vector t is a scalar parameterr = (-2, -1) + t(-4, 5)
r = (-2 - 4t, -1 + 5t)
(b) The point where the line in part a intersects the line s(t) = (4t +3, -3t - 4)
-2 - 4t = 4t + 3
-2 - 3 = 4t + 4t
-5 = 8t
t = -5/8
The point is calculated as;
r = (-2 - 4t, -1 + 5t)
Substitute the value of t as -5/8;
r = (-2 - 4(-5/8), -1 + 5(-5/8))
r = (-2 + 5/2, -1 - 25/8)
r = (1/2, -33/8)
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Which of the following sets of interior angle measures can form a triangle?
Select all that apply.
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
pleaseee helppp
As per the angle sum property, the interior angles that form the triangle is option
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
Angle sum property
Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.
Given,
Here we have the list of interior angles
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
Now, we have to find in which for these angle will form the tringle.
As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.
Based on these we have to verify each of the given interior angles,
A) 45 + 45 + 45 = 135
B. 60 + 60 + 60 = 180
C. 40 + 50 + 90 = 180
D. 30 + 60 + 90 = 180
E. 90 + 90 + 45 = 225
F. 90 + 90 + 90 = 270
Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.
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Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
A certain circle can be represented by the following equation.
x^2+y^2-4x+12y-24=0
What is the center of the circle?
What is the radius of the circle?
<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
I need help with this question:
Simplify
The simplified form of the given expression as a fraction is 7x/x-7
Simplification of fractionsFractions are written as a ratio of two integers. For instance a/b is a fraction where a and b are integers.
Given the expression below;
(1/7+1/x)/(1/49+1/x²)
Find the LCM to have:
(x+7/7x)/(x²-49)/49x²
Divide to have:
x+7/7x * 49x²/(x²-49)
(x+7) * 7x/(x+7)(x-7)
Cancel out the like terms to have:
1 * 7x/x-7
= 7x/x-7
Hence the simplified form of the given expression as a fraction is 7x/x-7
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Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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Please help me
liza uses a total of 20 cups of batter to make x cupcake and a cake .he uses 2/3 cup of batter for each cupcake 4 cups of batter for the cake.
How many cupcakes x , can liza make she uses the batter.
Answer:
I think it is 24 cupcakes
What is m% of p% of n?
9514 1404 393
Answer:
mpn/10000
Step-by-step explanation:
It is the product of those numbers:
(m%)(p%)(n) = (m/100)(p/100)(n) = mpn/10000
A lawn service owner is testing new weed killers. He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications. Construct a 90% confidence interval for p, the true proportion of weeds killed by this particular brand. what is the upper confidence limit for p
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.
\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)
In which
z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that \(\pi = 0.89, n = 60\)
90% confidence level
So \(\alpha = 0.1\), z is the value of Z that has a pvalue of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).
The lower limit of this interval is:
\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 - 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.8236\)
The upper limit of this interval is:
\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.89 + 1.645\sqrt{\frac{0.89*0.11}{60}} = 0.9564\)
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Answer:
Answer:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
He discovers that a particular weed killer is effective 89% of the time. Suppose that this estimate was based on a random sample of 60 applications.
This means that
90% confidence level
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for p is (0.8236, 0.9564). The upper confidence limit for p is 0.9564
Step-by-step explanation:
In a random sample of 60 computers the mean repair cost was $150 with a standard deviation of $36. Construct a 99 % interval for the
population mean.
The required confidence interval of the random sample of the given data is (151.5456, 148.4544).
What is confidence interval?Statisticians use confidence intervals to gauge vulnerability in an example variable. For instance, a scientist chooses various examples haphazardly from a similar populace and figures a certainty stretch so that each example might be able to perceive how it might address the genuine worth of the populace variable. The subsequent datasets are different where a few stretches incorporate the genuine populace boundary and others don't.
According to question:In an random sample of 60 PCs, the mean fix cost was $150, with the populace standard deviation being $36.
Standard deviationσ = $36, μ = $150 , n = 60
Value of z for 99% confidence interval is 2.576
Then,
Confidence interval = μ±z(σ/n)
Confidence interval = $150 ± 2.576(36/60)
Confidence interval = $150 ± 1.5456
Confidence interval = $150 +1.5456 , $150 - 1.5456
Confidence interval = 151.5456, 148.4544
Thus, required interval is (151.5456, 148.4544).
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find the value of x and y please help..
Answer:
this means this is a isosceles triangle so y is 44 and now -180
180-88
X=92
Solve the equation M^2+4m+9=0.
Fully simplify all answers including non real solutions
Should end up with an answer like M=
Answer:
2 solutions:
1) m =(4-√52)/2=2-√ 13 = -1.606
2) m =(4+√52)/2=2+√ 13 = 5.606
Step-by-step explanation
The first term is, m2 its coefficient is 1 .
The middle term is, -4m its coefficient is -4 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -4 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
m2 - 4m - 9 = 0
STEP 2:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = m2-4m-9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Am2+Bm+C,the m -coordinate of the vertex is given by -B/(2A) . In our case the m coordinate is 2.0000
Plugging into the parabola formula 2.0000 for m we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0
or y = -13.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = m2-4m-9
Axis of Symmetry (dashed) {m}={ 2.00}
Vertex at {m,y} = { 2.00,-13.00}
m -Intercepts (Roots) :
Root 1 at {m,y} = {-1.61, 0.00}
Root 2 at {m,y} = { 5.61, 0.00}
Add 9 to both side of the equation :
m2-4m = 9
Now the clever bit: Take the coefficient of m , which is 4 , divide by two, giving 2 , and finally square it giving 4
Add 4 to both sides of the equation :
On the right hand side we have :
9 + 4 or, (9/1)+(4/1)
The common denominator of the two fractions is 1 Adding (9/1)+(4/1) gives 13/1
So adding to both sides we finally get :
m2-4m+4 = 13
Adding 4 has completed the left hand side into a perfect square :
m2-4m+4 =
(m-2) • (m-2) =
(m-2)2
Things which are equal to the same thing are also equal to one another. Since
m2-4m+4 = 13 and
m2-4m+4 = (m-2)2
then, according to the law of transitivity,
(m-2)2 = 13
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(m-2)2 is
(m-2)2/2 =
(m-2)1 =
m-2
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
m-2 = √ 13
Add 2 to both sides to obtain:
m = 2 + √ 13
Since a square root has two values, one positive and the other negative
m2 - 4m - 9 = 0
has two solutions:
m = 2 + √ 13
or
m = 2 - √ 13
Solving m2-4m-9 = 0 by the Quadratic Formula .
According to the Quadratic Formula, m , the solution for Am2+Bm+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
m = ————————
2A
In our case, A = 1
B = -4
C = -9
Accordingly, B2 - 4AC =
16 - (-36) =
52
Applying the quadratic formula :
4 ± √ 52
m = —————
2
Can √ 52 be simplified ?
Yes! The prime factorization of 52 is
2•2•13
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 52 = √ 2•2•13 =
± 2 • √ 13
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
m = ( 4 ± 2 • 3.606 ) / 2
Two real solutions:
m =(4+√52)/2=2+√ 13 = 5.606
or:
m =(4-√52)/2=2-√ 13 = -1.606
I need help ASAP, marking brainliest!
A tutoring agency charges $20 for study materials, plus $40 an hour for tutoring. Which function can be used to find the total cost T(h) hours of tutoring?
Answer:
T(h)=40h+20
Step-by-step explanation:
Please mark me brainliest if helpful :)
Question 5
Calculate the percentage rounded to a whole number. 140 is what percentage of 206?
PLEASE HELP DUE IN 5 MIN
Raul is performing an experiment. He pours water into a glass and measures the temperature of the water at 72.3°F. Then he adds a few ice cubes to the glass of water. He measures the temperature of the water again and finds that it has changed by -39.1°F.
Complete the steps below to learn more about the temperature change of the water.
Part A
Write an expression that represents the temperature (in degrees Fahrenheit) of the water after Raul added the ice cubes. Write the expression as the sum of two numbers.
The expression that represents the temperature of water after Raul added the ice cubes would be = x°F = 72.3°F + 39.1°F
What is temperature?Temperature is defined as the quantity that is used to measure the degree of hotness or coldness of a body which can be measured in degree fahrenheit or degree celsius.
The original temperature of the water in the glass before the addition of ice cube = 72.3 °F.
The temperature of water after the addition of ice cube = -39.1°F.
The temperature of ice cube = x°F
Therefore the expression that would represent the temperature of water after addition of ice cube =
-39.1°F = x°F - 72.3°F
make x°F the subject of formula;
x°F = 72.3°F + 39.1°F
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This is worth half of my grade
Answer:
\(y = 8 - 8\sin(2x) \)
Which graph displays points that correspond to the x and y values in the table?
hm this is weird, i thought i answered the question. or maybe they're two different questions? line graph because i said so. i know im so helpful
PLEASE ANSWER THIS NOW !!!!!!!!!!!!!!!!!!1
NEED HELP SO BAD
The length of the real life plane is 8000 centimetres.
The scale model as a ratio is 1:2000.
How to find the scale of a model?A model of a plane has a length of 4 cm. The real life plane has a model of 80 m.
The length of the real life plane in centimetres is as follows:
1 metre = 100 centimetres
80 metres = ?
cross multiply
length of the real life plane in cm = 80 × 100
length of the real life plane in cm = 8000 centimetres
The scale model can be calculated as follows;
scale model = 4 / 8000
scale model = 1 / 2000 = 1:2000
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2. Higher Order Thinking A pound of guinea-pig pellets is about 3 cups of food. Each guinea pig eats cup of pellets a day. How many days will the pellets last? Explain. Poul DATA Food for Heidi's Guinea Pigs Food Weight Grass or hay Vegetables Pellets 40 ounces 15 ounces 5 pounds
Answer:
Step-by-step explanation:
noun
verb
preposition
adjective
interjection
adverb
A box below needs to be painted.
How many square inches of paint will be needed to cover the entire surface?
A
80/12 in2
B
61/9 in2
C
49/5 in2
D
77/55 in2
Answer: c
Step-by-step explanation:
Answer:B
Step-by-step explanation:
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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What is the range of the function graphed below?
Answer:
-3<y<=3 or B
Step-by-step explanation:
first we find the smallest y value which is -3
then we find the largest y vlaue which is three
so since there is an open circle at negative three we do not include it while at three we do.
so the answer would be -3<x<=3
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The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.
sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98
Subtract 43 on both sides.
z=29.98
---
hope it helps
Answer:
43 + z = 72.98
Step-by-step explanation:
Sum meaning add the two (or more numbers together) we get 43+ z = 72.98
If you're trying to find "z" simply subtract 43 from 72.98 to get 29.98 as z
pls answer this for me i would really appreciate it! i have a few minutes
-(8/24)^{2} ÷ -(8/24)^{0}
Answer: 1/9
Step-by-step explanation:
-(8/24)^2 / -(8/24)^0
cancel the negatives and simplify 8/24 to 1/3
(1/3)^2 / (1/3)^0
(1/3)^0 = 1
so,
(1/3)^2 = 1/9