After 5 years, Offer A will offer a higher total salary.
What is arithmetic mean?The result of adding together and dividing by the total number of numbers or variables is the arithmetic mean, which is also known as the average or average value.
What is geometric mean?The Geometric Mean (GM) in mathematics is the average value or mean that, by calculating the product of the values of the set of numbers, denotes the central tendency of the numbers. In essence, we multiply the numbers together and calculate their nth root, where n is the total number of data values.
Given
a) that a candidate receives job offers from two different companies, with Offer A offering a starting salary of $ 55,000 and a 5% increase for 5 years and Offer B offering a starting salary of $ 56,000 and an increase of $ 2,000 per year, it is necessary to perform the following calculation to determine which offer will result in a higher total income after 5 years:
b) Offer A -> Arithmetic
=>55000 x 1.05 ^ 5 = X
=>55000 x 1.2762 = X
70,195.48 = X
Offer B -> Geometric
=>56000 + (5 x 2000) = X
=>56000 + 10000 = X
66,000 = X
c) Hence comparing the above 2, Offer A will provide a greater total income after 5 years.
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A baseball player makes an annual salary of 3,200,000.
A charitable organization states that for $120 it can send 1 child to school in a developing country for 1 year. The baseball player decides to donate 10% of his annual salary to this organization. Calculating it would be 320,000,
About how many children could his donation send to school for 1 year?
Answer: 2,666 children
Step-by-step explanation:
This player makes $3.2 M per year. 10% of his salary is $320,000
($320,000) / ($120/child) = 2,666 children
Find the equation of the quadratic with a vertex of ( -1, -5) and the point (2,13)
The quadratic equation with a vertex at (-1, -5) that passes through (2, 13) is:
y = 2*(x + 1)^2 - 5
How to find the quadratic equation?A quadratic equation with a leading coefficient a and a vertex (h, k) is written as:
y = a*(x - h)^2 + k
Here we know that the vertex is (-1, -5), then our parabola is something like:
y = a*(x + 1)^2 - 5
Now we also know that the quadratic equation contains the point (2, 13), then we can replace the values to get:
13 = a*(2 + 1)^2 - 5
13 = a*3^2 - 5
13 = a*9 - 5
13 + 5 = a*9
18/9 = a
2 = a
Then the quadratic equation is:
y = 2*(x + 1)^2 - 5
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4. What is my number?
Clue 1. My number is a multiple of 2 and 5.
Clus 2. My number is greater than 10 but less than 50.
Clue 3. The number 3 is a factor of my number.
Answer:
30
Step-by-step explanation:
A number that is a multiple of 2 and 5 is a multiple of 10.
A multiple of 10 between 10 and 50 can only be 20, 30, 40.
3 is not a factor of 20 or 40, but it is a factor of 30.
Answer: 30
All changes save . What is the next term of the arithmetic sequence 24, 16, 8, 0, ...? Show the explicit equation
32 is the next term in the arithmetic sequence of 24,16,8,0,...
To find out what is the next term of the arithmetic sequence
24, 16, 8, 0, ...
To show the explicit equation:
We have an arithmetic sequence because the difference between the terms is constant:
0 → 8: Δ → 8
8 → 16: Δ → 8
16 → 24: Δ → 8
From this the next term is simply:
24 + 8 = 32
And this sequence can be explicitly written as:
[tex]a_{n} = a_{1}(n-1)d[/tex]
Where:
[tex]a_{n}[/tex] = nth term
[tex]a_{1}[/tex] = first term
d = distance between the terms
n = any index number
Therefore we have:
[tex]a_{n} = 1.(n-1)8 = 8.(n-1)\\\\a_{n} = 8. (n-1)[/tex]
Hence the answer is 32 is the next term in the arithmetic sequence of 24,16,8,0,...
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PLS HELP I GIVE BRAINLIEST
Answer:
(-12, 10)
Step-by-step explanation:
2x + 4y = 16
-2x - 3y = -6
Add the equations to eliminate x.
y = 10
2x + 4y = 16
2x + 4(10) = 16
2x = -24
x = -12
Solution:
x = -12; y = 10
(-12, 10)
It would make my day if you helped me with this!! :D
Find the coordinates of the image of a point (x, y) after a reflection in the y-axis, and after the composition when the first reflection is followed by a reflection in the x-axis.
The coordinates of the first image are (_ , _) and of the second image are (_ , _).
What type of rotation results in the same image as a reflection in the y-axis followed by a reflection in the x-axis?
45° rotation
90° rotation
135° rotation
180° rotation
270° rotation
360°rotation
The image after the first reflection is (-x, y)
The image after the second reflection is (-x, -y)
This is equivalent to a rotation of 180°.
What are the coordinates after the reflections?
First, we start with a reflection across the y-axis. This type of reflection only changes the sign of the x-value of our point.
So, if we start with the point (x, y), the image after the reflection is:
(-x, y)
Now we apply a reflection across the x-axis, this one changes the sign of the y-value, then the image after the reflection is:
(-x, -y)
Notice that a change in both signs is equivalent to a 2 quadrant motion, which is equivalent to a rotation of 180°.
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Geometry need help gina wilson
The value of x in the polygon is 9
What is a Heptagon?A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.
In Geometry, the shape that is bounded by at least three straight lines or at least three interior angles is called polygon. The most common examples of polygons are
Triangle ( 3 sided polygon)
Quadrilateral ( 4 sided polygon)
Pentagon ( 5 sided polygon)
The polygon is a heptagon with number of sides n = 7
sum of interior angles of a polygon = (n - 2) x 180
if n = 7,
Sum of the interior angles = (7 -2) x 180
= 5 x 180
= 900
summing all the angles in the given polygon, we have
135 + 3x + 31 + 4x + 15 + 6x - 8 = 120 + 7x - 64 + 5x - 4 = 25x + 675
25x + 675 = 900
25x = 900 - 675
25x = 225
x = 225/25
x = 9
In conclusion, the value of x for the given polygon is 9
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Which of the points shown below are on the line given by the equation
y = x-5? Check all that apply.
B
A. Point A: (-3,2)
B. Point B: (1,6)
C. Point C: (3,-2)
D. Point D: (-2,-3)
By using slope intercept form of equation of line, it can be inferred that Point C is on the line y = x - 5
What is equation of line in slope intercept form?
The most general form of equation of line in slope intercept form is given by y = mx + c
Where m is the slope of the line and c is the y intercept of the line.
Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.
If [tex]\theta[/tex] is the angle that the line makes with the positive direction of x axis, then slope (m) is given by
m = [tex]tan\theta[/tex]
The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.
The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.
Here, the given slope intercept form is y = x - 5
For Point A
Putting x = -3
y = -3 -5 = -8 which is not equal to 2
Point A is not on the line y = x - 5
For Point B
Putting x = 1
y = 1 -5 = -4 which is not equal to 6
Point B is not on the line y = x - 5
For Point C
Putting x = 3
y = 3 -5 = -2
Point C is on the line y = x - 5
For Point D
Putting x = -2
y = -2 -5 = -7 which is not equal to -3
Point D is not on the line y = x - 5
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Which describes the slope of this line?
The slope of the line in the image is a zero slope.
What is the Slope of a Line?The slope of a line can be defined as the ratio of a line's vertical change to the line's horizontal change, which is rise/run or change in y / change in x.
What is the Slope of Horizontal Line?An horizontal line has horizontal change but no vertical change. Therefore, no matter the horizontal change of the line, the slope of a horizontal line would always be zero. Therefore, horizontal lines have zero slope.
The line in the image is a horizontal line, therefore, the slope is neither positive nor negative, but a zero slope.
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help , i’ll mark brainliest <333
Since the triangles are congruent, their angles are the same
2x = x + 10
x = 10
Angle A = x + 10 = 10 + 10 = 20
los pasos de juan miden 50cm de su cas a su colegio llega con 180pasos. ¿cuantos kilómetros distan la casa y el colegio de juan?
The distance from the house to the school is 0.09km
How to calculate the distance?It should be noted that from the information, Just measures 50 cm from his house to school and arrives at 180 steps.
Therefore, the total distance will be:
= 50 × 180
= 9000 cm
1 kilometer = 100000 cm
Therefore, 9000 cm will be:
= 9000 / 100000
= 0.09km
The distance is 0.09km.
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The mass of an adult North Pacific right whale is about 70,000 kg, or 7 x 104
kg.
The mass of a male polar bear is about 700 kg, or 7 x 10² kg.
About how many times more massive is the right whale than the polar bear?
Answer:
The right whale is 100 times more massive that the polar bear
Step-by-step explanation:
7 x 10^2 = 700 kg
7 x 10^4 = 70,000kg.
70,000 / 700 = 100Check: 700 x 100 = 70,000
(the equivalent mass of 10 polar bears equals that of one whale)
:)
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 75 type K batteries and a sample of 46 type Q batteries. The type K batteries have a mean voltage of 8.51, and the population standard deviation is known to be 0.344. The type Q batteries have a mean voltage of 8.87, and the population standard deviation is known to be 0.644. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries is different. Let μ1 be the true mean voltage for type K batteries and μ2 be the true mean voltage for type Q batteries. Use a 0.05 level of significance.
Step 3 of 4 : Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to two decimal places.
The decision rule for rejecting the null hypothesis, considering the t-distribution, is of:
|t| < 1.9801 -> do not reject the null hypothesis.|t| > 1.9801 -> reject the null hypothesis.What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means is of zero, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the mean voltage for these two types of batteries is different, that is, the subtraction of the sample means different of zero, hence:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
We have a two-tailed test, as we are testing if the mean is different of a value.
Considering the significance level of 0.05, with 75 + 46 - 2 = 119 df, the critical value for the test is given as follows:
|t| = 1.9801.
Hence the decision rule is:
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How many adults bought movie tickets if 3/5 of the 2,750 tickets sold were purchased by adults?
Answer:
3/5= 60%
60% of 2,750= 1650 tickets sold
40% of 2,750 = 1100 tickets left
Jaden and Emilia biked
88 miles from Daytona Beach to Jacksonville in
2 days. They spent 4 hours biking the first day and
6 hours biking the second day. They biked at one speed the
first day and a different speed the next day. At what speed
(miles per hour) could they have biked each day? Explain.
They could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.
According to the question,
We have the following information:
Jaden and Emilia biked 88 miles from Daytona Beach to Jacksonville in 2 days. They spent 4 hours biking the first day and 6 hours biking the second day. They biked at one speed the first day and a different speed the next day.
Now, let's take the distance covered on first day to be x miles.
Distance covered on second day = 88-x miles
Following formula is used to find the speed of an object:
Speed = distance/time
Speed of first day = x/4 miles per hour
Speed of the second day = (88-x)/6 miles per hour
Hence, they could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.
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Divide 7200 in ratio 1/3,1/6,1/4
Answer:
The correct Answer is 4:2:3
Step-by-step explanation:
ABC in the ratio 1 by 3 1/2 1/4 money is distributed ABC is equal to 2 by 3 egg be caused by a and c equal to 1 by 4 BC value a + b + c will be 7200
36 X + 1 by 4 X equal to 7203 B12 for dual is right down here now divide 12343 12 and 4 x is 144 Avenger 4 Hindi 2020 worldwide 6 then it will be 2 and 2 X 1 will be 2 + 12 and 72 value will be 9 x 12 equal to make a call to 7212 989 and
n7200 will be divided by 3 and answer will be 2424 4 will be 9696 amount of a 1 by X equal to 1 by 3 X 9600 equal to 3200 amount of the one my c equal to 1 by 6 multiply 9600 be 1602 14 x 9600 will be 2400
solution of this question
Claire’s mom is 4 years older than twice Claire’s age. The sum of their ages is 58 years. Claire’s age is ___ years, and her mothers age is ____ years
Claire is 18 years old and her mother is 40 years old.
Answer with explanation:
Let Claire's age = x years
Age of Claire's mother =(2 x +4 ) years
Sum of the ages of Claire and her mother =58 years
If we write the above statement in terms of equation , it will be
⇒ x + 2 x +4=58
⇒3 x +4=58
⇒3 x =58 -4
⇒3 x =54
Dividing both side by , 3 , we get
→x=18
Claire's age = 18 years
Age of Claire's mother =(2 x +4 )=2×18+4=36+4= 40 years
The sum of their ages is 58. The "sum of their ages" includes:
Claire's age + 2(Claire's Gage) + 4 = 58
3(Claire's age) + 4 = 58
3 x Claire's age = 58 -4 = 54
Claire's age= 54/3 = 18
Claire is 18 years old.
Since Claire's mom is 4 years older than twice clears age, her age is (18 x 2) + 4 = 40
So Claire is 18 and her mother is 40
I hope this helps!
The half-life of radium is 1690 years. If 30 grams are present now, how much will be present in 720 years?
Using the properties of half-life we calculate that approximately 22.33 grams of radium will be present after 720 years.
The half-life of radioactive element radium = 1690 years.
Time = 720 years
the formula for calculating half life is given by:
[tex]N(t)&=N_{0}\left({\frac {1}{2}}\right)^{\frac {t}{t_{1/2}}[/tex]
Now we substitute the values to find the N(t) which is the amount of radium left after 720 years.
t = 720
half life = 1690
N₀ (initial mass) = 30gm
[tex]N(t)&=30\left({\frac {1}{2}}\right)^{\frac {720}{1690}[/tex]
N(t) = 22.329 gm
N(t) ≈ 22.33 gm
The half-life of a substance is the amount of time required for it to reach that point. The phrase is widely used in nuclear physics to describe how quickly unstable atoms decay radioactively or how long stable atoms remain.
Additionally, a broader definition of the term is used to characterize any exponential decay (or, very infrequently, nonexponential decay). For instance, a term used in the medical sciences is the biological half-life of drugs and other compounds in the human body.
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Evaluate the following algebraic expression: 64-9p when p=4
Answer:
28
Step-by-step explanation:
64 - 9(4)
64 - 36
28
a driver charges $3 per mile for the first 2 miles, then $2 for each additional mile. if you traveled 8 miles, what would the total fee be? and if you traveled 50 miles, what would the total fee be?
PLEASE HURRY AND ANSWER!!!!! THIS PAPER IS DUE TOMORROW MORNING! AND ITS FOR A GRADE!!!!
Hey there! I would be glad to help you out.
For the first two miles, the price would be six dollars total.
For every mile after that, you would be charged two dollars.
Assuming that you travel 8 miles, you would have to pay six dollars for the first two miles (3*2), and twelve dollars for the last six miles, totaling eighteen dollars.
So the price of an eight mile ride would be eighteen dollars.
You can use this logic for the 50 miles trip too. After traveling 2 miles ($6), there will be 48 more miles.
For these 48 miles, it'll only charge you two dollars each, which would total 96 dollars.
So the price of a fifty mile ride would total $102.
I wish you luck on your homework!
IXL Please Help Fast!
The equation of a line is y = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The slope of the line t:
M = 1/6
The slope of the line which is perpendicular to the line t
m = -6
The equation of the line:
y + 4 = -6(x - 2)
y = -6x + 12 - 4
y = -6x + 8
Thus, the equation of a line is y = -6x + 8 if the line is perpendicular to the line t and passes through (2, -4).
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Rock singer and writer Beep Blair is paid 11.5% on her CD sales and music downloads. Last year, she sold 1.22 million CDs and 2.1 million music downloads. The CDs were sold to music stores for $5 each, and the music downloads were $1 each. How much did Beep Blair receive in royalties last year?
$943,000 Beep Blair receive in royalties last year.
Given,
In the question:
Rock singer and writer Beep Blair is paid 11.5% on her CD sales and music downloads.
and, She sold 1.22 million CDs and 2.1 million music downloads. The CDs were sold to music stores for $5 each, and the music downloads were $1 each.
To find the how much did Beep Blair receive in royalties last year?
Now, According to the question:
The total amount involved in the sells and downloads are:
1.22 x 5 + 2.1 x 1 = 8.2 million.
She was paid 11.5% of that, hence:
0.115 x 8.2 = 0.943 million = $943,000.
She earned $943,000 from CD sales.
Hence, $943,000 Beep Blair receive in royalties last year.
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Two angles whose sum is 180°are supplementary angles. find the measure of the supplementary angle shown in the figure. The smaller angle measures.
Answer:
8x+7+11x+2=180
11x_8x +7+11=180
3x+18=180
3x=180_18
3x=168
x=168÷3
x=56
for what value of x does the function have an output of -7, given that g(x)=-3x+8
Answer:
-5
Step-by-step explanation:
-7=3x+8-7-8=3x-15=3x divide two sides by 3x= -5Two cubes have sides of length 5 cm and 6cm. What is the ratio of their respective surface areas?
If two cubes have sides of length 5 cm and 6cm. The ratio of their respective surface areas is 36 : 25.
How to find the ratio of the surface area?Using this formula to find the ratio
Ratio of their surface area = a /a'
Where:
a = 6
a' =5
Let plug in the formula
Ratio of their surface area = 6a² /6a'²
Ratio of their surface area = 6(6)² / 6(5)²
Ratio of their surface area = 36 / 25
Ratio of their surface area = 36 : 25
Therefore the ratio is 36 : 25.
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A traffic circle is a round intersection. The first one built in the United
States is the Columbus Circle in New York City, and has a circular monument in
the center covering approximately 148,000 square feet. What is the radius of the
monument, to the nearest hundredth?
From the given data of traffic circle, the center of the circular monument is covering approximately 148,000 square feet then the radius of the monument is equal to 217.10 feet.
As given in the question,
Given that traffic circle is a round intersection.
It has circular monument in the center.
Area covered by circular monument is equal to 148,000 square feet.
Let us consider radius of the circular monument be 'r'
Area of circular monument = 148,000
⇒ πr² = 148,000
⇒r² = 148,000 / π
⇒ r² = 148,000/ 3.14
⇒ r = √148,000/ 3.14
⇒ r = 217. 103... feet
⇒ r = 217.10 feet ( nearest hundredth)
Therefore, from the given data of traffic circle, the center of the circular monument is covering approximately 148,000 square feet then the radius of the monument is equal to 217.10 feet.
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There is a population of 377 bacteria in a colony. If the number of bacteria doubles every 332 minutes, what will the population be 996 minutes from now?
Answer: 2656 bacteria after 996 minutes
Step-by-step explanation:
This has to do with exponential growth-
996/332=3, which means we must think about it in terms of doubling the bacteria numbers three times over the course of 996 minutes.
1st: 332*2=664
2nd: 664*2=1328
3rd: 1328*2=2656 bacteria after 996 minutes
Answer:3016
Step-by-step explanation:
A 3.5 - ounce bag of crackers for $ 1.61
The cost per ounce when a 3.5 ounce bag of crackers for $1.61 is $0.46.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Addition, subtraction, multiplication, and division are all possible mathematical operations.
From the information, the 3.5 ounce bag of crackers is $ 1.61, the cost per ounce will be:
= Total amount / Number of ounce
= $1.61 / 3.5
= $0.46
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Complete question
A 3.5 - ounce bag of crackers cost $ 1.61. Fund the cost per ounce.
Please help! (Will give a good amount of points)
The two way table to display the relative frequency by row is:
Lasagna orders
veggie meat total
Tomato sauce 44.871% 55.128% 100%
cream sauce 76.67% 23.33% 100%
Given:
Tomato sauce = 35 veggie + 43 meat
= 78
cream sauce = 46 veggie + 14 meat
= 60
veggie % in tomato sauce = 35 * 100/78 = 3500/75 = 44.871%
meat % in tomato sauce = 43 * 100 / 78 = 4300/78 = 55.128%
veggie % in cream sauce = 46 * 100 / 60 = 4600/60 = 76.67%
meat % in cream sauce = 14 * 100 / 60 = 1400/60 = 23.33%
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10. A building has a height of 130 meters and a
length of 75 meters. On a scale drawing of
the building, the length of the building is 15
cm. What is the height of scale building in
centimeters?
Answer: