Answer:
Interest of £45
Step-by-step explanation:
£300×.05×3=£45
Audrey does babysitting on the weekends and receives $15 for 6 hours. At this rate, how much will she get for 8 hours?
Answer:
She makes 2.50 $ a hour and she will make 20 $ at 8 hours
WHAT DO I PUT NO LINKS WILL BE REPORTED!! JUST GIVE ME THE NUMBERS AS A RATIO
Answer:
33
Step-by-step explanation:
48 - 15 = 33
Answer:
33??
Step-by-step explanation:
Latonya earns a gross annual salary of 61,870. If she is paid weekly, how much is her weekly gross paycheck?
A) 5,155.83
B) 2,577.92
C) 1 ,189.81
D) 1 ,237.40
Answer: C
Step-by-step explanation: 52 weeks in a year. 61870/52 is 1,189.81.
Find the profit-maximizing price.
80
For a monopolist's product, the demand equation is p = 22 - 2q and the average-cost function is c=2+
q
The profit-maximizing price is $
Answer: [tex]\$11.5[/tex]
Step-by-step explanation:
Given
Demand function is [tex]p=22-2q[/tex]
The average cost function is [tex]c=2+q[/tex]
Total revenue is the product of demand and the price per unit.
[tex]r=\left(22-2q\right)q[/tex]
Profit is given by the difference of the total revenue and the cost
[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]
Find the derivative of profit to get the maximum profit
[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]
Put q in the equation of demand to get the price
[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]
Pls help! Step by step:)
Answer:
x = 15
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = 9b = 12c = xSubstitute the given values into Pythagoras Theorem and solve for x:
[tex]\implies 9^2+12^2=x^2[/tex]
[tex]\implies 81+144=x^2[/tex]
[tex]\implies 225=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]
[tex]\implies x=15[/tex]
14 more than 5 times a number is equal to 20. find the number
Answer:
6/5
Step-by-step explanation:
5x + 14 = 20
Subtract 14 from 20
5x = 6
Divide both sides by 5
x = 6/5
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
Required:
Do the data provide statistically significant evidence at the 0.06 kevel that the average teaching stay in the metro Atlanta area is greater than the state average?
Answer:
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Step-by-step explanation:
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more.
At the null hypothesis, we test if they pay the average, that is:
[tex]H_0: \mu = 48553[/tex]
At the alternate hypothesis, we test if they pay more, that is:
[tex]H_1: \mu > 48553[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
48553 is tested at the null hypothesis:
This means that [tex]\mu = 48553[/tex]
Sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
This means that [tex]n = 228, X = 49021, \sigma = 3127[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{49021 - 48553}{\frac{3127}{\sqrt{228}}}[/tex]
[tex]z = 2.26[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 49021, which is 1 subtracted by the p-value of z = 2.26.
Looking at the z-table, z = 2.26 has a p-value of 0.9881
1 - 0.9881 = 0.0119
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Answer:
it's D
Step-by-step explanation:
3. If 2(x + 3) = x + 10, then x equals
Your answer
Answer:
x = 4
Step-by-step explanation:
Distribute 2 to the parentheses:
2(x + 3) = x + 10
2x + 6 = x + 10
Subtract x from both sides:
x + 6 = 10
Subtract 6 from both sides:
x = 4
So, x = 4
Answer: x = 4
Step-by-step explanation:
Find the 7th term of the geometric sequence whose common ratio is
and whose first term is 4.
Answer:
your answer is 36 counting by 4s
Step-by-step explanation:
4
16
20
24
28
32
36
Answer:
28
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28
help me plss about seasons and stuff
A rectangular prism is shown below. What is the volume of the prism?
1/2yd
1/4yd
5/6yd
Answer:
Option B, 5/48 yd³
Step-by-step explanation:
[tex] \frac{5}{6} \times \frac{1}{4} \times \frac{1}{2} [/tex]
[tex] = \frac{5}{4} [/tex]
Edet took sixth at the end of term test and each test was marked out of 80. If his marks were 48, 52, 46, 46, 44 and 52. What percentage of the total marks did he get?
The percentage of the total marks that Edet gets is 60%
How to calculate the percentage?The percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
In this situation, the score of Edet will be:
= 48 + 52 + 46 + 46 + 44 + 52
= 288
Total score = 80 × 6
= 480
The percentage will be:
= 288 / 480 × 100
= 60%
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h(0)=
evaluate the function please!!
a wall is 500sq. feet a gallon of paint covers 160sq feet. what is an appropriate conversion factor to help determine how many gallons will be needed to paint the wall
Answer:
Given:
-> Area of the wall: 500sq. feet
-> 1 gallon of paint covers 160sq. feet of area
-> By unitary method:
-> 1 ft. square of wall requires 1/160 gallon of paint
Thus,
-> 500 ft. square of wall will require = 500 x 1/160 gallons of paint
= 3.0125 gallons
Hope it helps :)
Though my answer may be wrong :(
Have a great day!
If a number is doubled then which of
the following is a correct statement?
Select one:
A. Its cube is eight times the
cube of the given number.
B. Its cube is three times the
cube of the given number.
C. Its cube is two times the
cube of the given number.
D. Its cube is six times the
cube of the given number.
Answer: Its cube is six times the
cube of the given number.
Step-by-step explanation:
Let's assume we have a number which is 2. The cube will be:
= 2³
= 2 × 2 × 2
= 8
Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:
= 4³
= 4 × 4 × 4
= 64
Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.
what is 92,572 rounded to the nearest ten thousand
Answer: it is 90,000 i believe
Answer: 90,000
Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down
(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)
Dana's survey showed that 3 out of 8 students preferred pepperoni pizza and
1 out of 8 preferred cheese pizza. How many more of the 72 students surveyed by
Dana preferred pepperoni pizza than preferred cheese pizza?
Answer:
18 more students preferred pepperoni pizza over cheese pizza in the survey.
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten
[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27 I cross canceled the 8 and 72. They have a common factor of 8. 8 goes into 8 once and 8 goes into 72 9 times.
27 students preferred pepperoni pizza.
[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9
9 students preferred cheese pizza.
27 - 9 = 18
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Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A sample of 300 students taken from this year's student body showed the following number of students in each classification. Freshmen 83 Sophomores 68 Juniors 85 Seniors 64 We are interested in determining whether or not there has been a significant change in the classifications between the last school year and this school year. The calculated value for the test statistic equals a. 6.66. b. 1.66. c. .54. d. .65. Icon Key
Answer:
1.66
Step-by-step explanation:
Using the Chi square statistic (χ²) test :
χ² = Σ(Oi - Ei)² / Ei
Expected, Ei :
Freshmen = 30% * 300 = 90
Sophomore =24% * 300 = 72
Junior = 26% * 300 = 78
Senior = 20% * 300 = 60
Observed, Oi :
Freshmen = 83
Sophomore = 68
Junior = 85
Senior = 64
χ² = ((83 - 90)²/90) + ((68 - 72)²/72) + ((85 - 78)²/78) + (64 - 60)²/60)
χ² = 49/90 + 16/72 + 49/78 + 16/60
χ² = 0.544 + 0.222 + 0.628 + 0.267
χ² = 1.661
The test statistic = 1.66
a kite string is 50 feet long, and you are able to measure the angle of elevation to be 25 degrees. You are holding the kite from 5 feet above the ground.
Show all your work to find the total height (h) of the kite.
9514 1404 393
Answer:
26.1 ft
Step-by-step explanation:
The height of the kite above your position is the opposite side of a right triangle whose hypotenuse is 50 ft. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
Filling in the known values, we have ...
sin(25°) = height/(50 ft)
height = (50 ft)sin(25°) ≈ 21.1 ft
Added to the height at which you are holding the string, this becomes the total height of the kite.
h = 5 ft + 21.1 ft = 26.1 ft . . . . total height of the kite
Does perpendicular lines have something same to intersecting lines
Answer:
They are similar in a way. Perpendicular lines can intersect, but they must make a 90 degree angle to be prerpendicular lines. A cross is an example of this.
Step-by-step explanation:
Divide the polynomials. If there is a remainder, enter the remainder in fraction form. x^4+3x^3-x-2/x+1
The polynomial x⁴ + 3x³ - x - 2 will have a remainder of 1 when divided by x + 1 and the result can be written in the form (x³ + 2x² + 2x - 3) + 1/(x + 1).
How to divide the polynomialUsing the long division method will require us to; divide, multiply, subtract, bring down the next number and repeat the process to end at zero or arrive at a remainder
We shall divide the polynomial x⁴ + 3x³ - x - 2 by x + 1. as follows;
x⁴ divided by x equals x³
x + 1 multiplied by x³ equals x⁴ + x³
subtract x⁴ + x³ from x⁴ + 3x³ - x - 2 will result to 2x³ - x - 2
2x³ divided by x equals 2x²
x + 1 multiplied by 2x² equals 2x³ + 2x²
subtract 2x³ + 2x² from 2x³ - x - 2 will result to 2x² - x - 2
2x² divided by x equals 2x
x + 1 multiplied by 2x equals 2x² + 2x
subtract 2x² + 2x from 2x² - x - 2 will result to -3x - 2
-3x divided by x equals -3
x + 1 multiplied by -3 equals -3x - 3
subtract -3x - 3 from -3x - 2 will result to a remainder of 1.
Therefore, the polynomial x⁴ + 3x³ - x - 2 divided by x + 1 gives a quotient x³ + 2x² + 2x - 3 and a remainder of 1 and can be written as (x³ + 2x² + 2x - 3) + 1/(x + 1).
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Write the equation of the line. (please help will mark brainlist)
Answer:
y = 2/3x - 2
Step-by-step explanation:
Lines on the graph: (0, -2) and (3, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0+2)/(3-0)
m= 2/3
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 2/3(x - 0)
y + 2 = 2/3x
y = 2/3x - 2
Choose 3 desserts from a menu of 6
Answer:
yes
Step-by-step explanation:
yes
A triangular prism has a height of 6 meters and a triangular base with the following dimensions. What is the value of B ? 54 m 2 48 m 2 96 m 2 30 m 2
Answer:
96m
Step-by-step explanation:
Answer:
The correct answer is 48 m.
Step-by-step explanation:
To find our answer we will first multiply the base times height. 16 is the base and 6 is the height. Therefore, 16 x 6 = 96. Now we are going to multiply 1/2 or 0.5 by 96 and we get 48m.
I also had a quiz on this and I got it correct after I checked my work. Have a good one mate
Please help answer question
Answer: x = 9
Step-by-step explanation: To find the value of x, we must understand a few things:
- whatever is in lines like | 2x + 4 | means it's the absolute value or positive value of the number.
Now, with that out of the way, I have one more thing to explain.
- whenever trying to find the value of a variable, you need to do inverse operations, so the opposite of adding is subtracting, and the opposite of multiplication is division. Now, let's solve:
22 - 4 = ?
? = 18
18 / 2 = ?
?(x) = 9
Therefore, x = 9
We can check our answer by doing:
| 2(9) + 4 | = 22
2 x 9 = 18
18 + 4 = 22
22 = 22
So, both answers add up, so x = 9
I hope this helps!
A new ride being built at an amusement park includes a vertical drop of 71.6 meters. Starting from rest, the ride vertically drops that distance before the track curves forward. If the velocity at the bottom of the drop is 10.0 m/s and the mass of the cart and passengers is 3.5 x 104 kg, how much potential energy was converted into thermal energy (heat)? (2 points)
answers:
2.3 x 107 J
2.6 x 107 J
4.3 x 107 J
6.7 x 107 J
Step-by-step explanation:
2.3 x 107 J is your correct AnswerPlot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.
A.
36 square units
B.
72 square units
C.
4 square units
D.
12.5 square units
Customary American Units of Capacity
1 cup = 8 ounces
1 pint = 2 cups or 16 ounces
1 quart = 2 pints, 4 cups, or 32 ounces
1 gallon = 4 quarts, 8 pints, 16 cups, or 128 ounces
5 quarts 4 pints =____ pints
Answer:
14
Step-by-step explanation:
5 quarts = 10 pints
10 pints + 4 pints = 14 pints
what is 2/9s of 630
Answer: its 18.27
Step-by-step explanation:
Answer:
140
Step-by-step explanation: