Recognition Optics pays Betty Hernandez a $600 monthly salary plus 3% commission on merchandise she sells each month. Assume Betty sales were $57,300 for last month. What was the amount of Commission? What was the gross pay?
Answers
according to the question Betty's gross pay for the last month was $2,319.
what is amount ?Utilize an aggregate to determine the duration, overall count, or quantity. The quantity in front of your or on your mind is quite active. the result, its importance, or its import. Principal, interest, and third accounting make up the total. Amounted, amounting, and amounts are examples of word formations. flexible noun Its quantity is how much it is, how much can have, the number you need, and how much you receive. He depends on that sum of money to get by.
given,
To find the amount of commission earned by Betty Hernandez, we need to calculate 3% of her total sales:
Commission = 0.03 x $57,300 = $1,719
So Betty earned a commission of $1,719.
To find Betty's gross pay, we need to add her monthly salary to her commission:
Gross pay = Monthly salary + Commission
Gross pay = $600 + $1,719
Gross pay = $2,319
So Betty's gross pay for the last month was $2,319.
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Related Questions
Donald was trying to figure out why certain basketball players got more rebounds in a basketball game. He decided to model the number of rebounds with the heights
of the players. The correlation coefficient is calculated to be r = 0.91.
What conclusion can Donald make about the strength of a relationship?
o It completely explains why some players get more rebounds than others.
That height has a lot to do with how many rebounds a person gets.
That height doesn't explain very well which players get more rebounds.
This coefficient does not give us any information about the strength of the relationship.
Answers
What is the meaning of "\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\)"?
![What is the meaning of "[tex] \mathbb{N}=\bigcap \left \{X:X inductive \right \}[/tex]"?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/MNBWazTJH6rrqRMGv9XGZlF09a3XoahD.png)
Answers
The meaning of \(\( \mathbb{N}=\bigcap \left \{X:X inductive \right \}\) is that the set of natural numbers is the intersection of all inductive sets.
What does the set show ?The set of natural numbers is inductive because it satisfies both of these conditions. The set is non-empty because it contains the number 1. And if x is a natural number, then x+1 is also a natural number.
In other words, a set is inductive if it satisfies the following two conditions:
The set is non-empty.If x is an element of the set, then x+1 is also an element of the set.The concept of an inductive set is important in mathematics because it allows us to define the set of natural numbers.
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Help pleaseeeeeerreeeeeeeeeeeeeeeee
Answers
A coefficient is the number attached to a variable (k). In front of k is an implied 1 because k*1=k. So the coefficient of the third terms is 1
What is the solution of the equation (x - 5)2 +3(x-5)+9 = 0? Use u substitution and the quadratic formula to solve.
Answers
Answer:
x= \(\frac{7+3i\sqrt{3} }{2}\) and \(\frac{7-3i\sqrt{3} }{2}\)
Step-by-step explanation:
(x - 5)^(2) +3(x-5)+9
(x - 5)^(2)= x2−10x+25
3(x-5)= 3x-15
x^2-10x+25+3x-15+9
x^2-7x+19=0
a=1 b=-7 c=19
use quadratic formula
\(\frac{-b+\sqrt{b^{2} -4ac} }{2a}\)
\(\frac{-(-7)+\sqrt{-7^{2}-4(1)(19) } }{2}\)
\(\frac{7+\sqrt{49{}-4(19) } }{2}\)
\(\frac{7+\sqrt{49{}-76 } }{2}\)
\(\frac{7+\sqrt{-27{} } }{2}\)
\(\sqrt{-27} =3i\sqrt{3}\)
\(\frac{7+3i\sqrt{3} }{2}\)
Part A: Given the function g(x) = |× + 31, describe the graph of the function, including the vertex, domain, and range. (5 points) Part B: If the parent function f(x) - |×] is transformed to h(x) = |× - 2, what transformation occurs from f(x) to h(x)? How are the vertex and range of h(x) affected?
Answers
A. The graph of the absolute value function is V-shaped, with the features given as follows:
Vertex: (-3,0).Domain: All real values.Range: [0, ∞).B. The transformation is that the function was shifted right two units, hence the features are given as follows:
Vertex: (2,0).Domain: All real values.Range: [0, ∞).What is the absolute value function?The absolute value function, with vertex (h,k), is defined as follows:
y = |x - h| + k.
The features of the function are given as follows:
Vertex: (h,k).Domain: All real values.Range: [k, ∞).For the first item, the function is |x + 3|, hence we just have to identify the features.
For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.
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Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.
Answers
Answer:
a. y = 6
b. RS = 44
ST = 37
RT = 81
Step-by-step explanation:
RS = 7y + 2
ST = 5y + 7
RT = 14y - 3
find:
a. y
b. RS, ST, RT
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
12y + 9 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
-----------------------------------
b.
RS = 7(6) + 2
RS = 44
ST = 5(6) + 7
ST = 37
RT = 14(6) - 3
RT = 81
Answer:
a. y = 6
b. RS = 44; ST = 37; RT = 81
Step-by-step explanation:
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
plug in values to solve RS, ST, RT
RS = 7(6) + 2 = 44
ST = 5(6) + 7 = 37
RT = 14(6) - 3 = 81
Pls help me fast rapidly:
Answers
Answer:
\(\huge\boxed{\sf 1.8 \times 10^3}\)
Step-by-step explanation:
Quotient means "to divide".
Solution:\(\displaystyle = \frac{4.68 \times 10^6}{2.6 \times 10^3} \\\\\underline{\sf Exponent \ rule:}\frac{a^m}{a^n} = a^{m-n}\\\\= 1.8 \times 10^{6-3}\\\\= 1.8 \times 10^3\\\\\rule[225]{225}{2}\)
Simplify the expression:
2b – 5b + 7 + 3b
Answers
Answer:
7
Step-by-step explanation:
2b - 5b is -3b so it leaves the equation with -3b + 7 + 3b
-3b + 3b cancells out to 0 so it leaves the final answer to 7
2)
A high school basketball team won exactly 65 percent
of the games it played during last season. Which of
the following could be the total number of games the
team played last season?
A) 22
B) 20
C) 18
D) 14
Answers
Answer:
To find the answer, we can use the formula:
number of won games / total number of games played = percentage won
Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:
number of won games / x = 0.65
To solve for x, we can cross-multiply:
number of won games = 0.65x
We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:
If the team played 22 games, then the number of won games is:
number of won games = 0.65 * 22 = 14.3
This is not a whole number value, so we can rule out choice A.
We can repeat this process for each answer choice. When we try choice C, we get:
number of won games = 0.65 * 18 = 11.7
This is also not a whole number value, so we can rule out choice C.
When we try choice D, we get:
number of won games = 0.65 * 14 = 9.1
This is also not a whole number value, so we can rule out choice D.
Therefore, the only remaining answer choice is B, which gives us:
number of won games = 0.65 * 20 = 13
This is a whole number value, so the team could have played 20 games in total last season.
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answers
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
cindy got 5gifts snd 6 from friends 4 from grandma,,,,if this happens every year how many gifts in 6 years
Answers
Answer:
90
Step-by-step explanation:
5+6+4=15
15 x 6=9
what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7, 2) and (-1,-6)
Answers
The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.
To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.
Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)
= (-8/2, -4/2)
= (-4, -2)
The midpoint of the line segment is (-4, -2).
Next, we need to find the slope of the line segment using the slope formula:
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 2)/(-1 - (-7))
= (-6 - 2)/(-1 + 7)
= (-8)/(6)
= -4/3
The slope of the line segment is -4/3.
Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.
Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4)
y + 2 = (3/4)x + 3
y = (3/4)x + 1.
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A student measures the mass of a sample is 2.7 grams. What is the percent error, given that the correct mass is 2.58 grams? Round to the nearest hundredth of a percent.
Answers
Answer:
the percent error in the student's measurement is 4.65%.
Step-by-step explanation:
The percent error can be calculated using the formula:
| (measured value - actual value) / actual value | * 100%
In this case, the measured value is 2.7 grams and the actual value is 2.58 grams. Substituting these values into the formula, we get:
| (2.7 - 2.58) / 2.58 | * 100% = 4.65%
Rounding this to the nearest hundredth of a percent, we get a percent error of 4.65%.
Therefore, the percent error in the student's measurement is 4.65%.
2.) 3(10x + 9) - 9(3x - 5)
SHOW WORK PLEASE
Answers
Answer:
3x+72
Step-by-step explanation:
Let's first simplify the equation 3(10x+9)−9(3x−5)
You want to distribute first
=(3)(10x)+(3)(9)+(−9)(3x)+(−9)(−5)
=30x+27+−27x+45
And then combine like terms:
=30x+27+−27x+45
=(30x+−27x)+(27+45)
=3x+72 (answer)
Answer:
Let's simplify step-by-step.
3(10x+9)−9(3x−5)
Distribute:
=(3)(10x)+(3)(9)+(−9)(3x)+(−9)(−5)
=30x+27+−27x+45
Combine Like Terms:
=30x+27+−27x+45
=(30x+−27x)+(27+45)
=3x+72
the following are the populations for the top twelve largest cities in the u. s. New York city, NY: 8,336,817 Los Angeles ca: 979.576 Chicago, il:2,693,976 Houston, Tx: 2,320,268 phoenix Az: 1,680,992 Philadelphia pa: 1,584,064 San Antonio Tx: 1, 547,253 San Diego ca: 1,423,851 Dallas Tx: 1,343,573 San Jose ca: 1,021,795 Austyn tx:978,908 Jacksonville Fl: 911,507. what is the mean population?, what is the median population?, what is the mode?, what is range?, what is the standard deviation?I need the standard deviation, I already did mode, mean, range, take the value of the population of each city, subtract the mode raised to 2, it does not give me the result
Answers
The mean is 2,071,798.33
The Median is 1,485,552
The range is 7,425,310
The standard deviation is given as 1961105.68
The mean population can be computed as:Mean = (Sum of all populations) / (Number of cities)
= (8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507) / 12
= 24,861,580 / 12
= 2,071,798.33
To find the median, we need to arrange the populations in increasing order and find the middle value. If we arrange these values, we get:
911,507, 978,908, 979,576, 1,021,795, 1,343,573, 1,423,851, 1,547,253, 1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817
Since there are 12 cities (an even number), the median would be the average of the 6th and 7th values:
Median = (1,423,851 + 1,547,253) / 2
= 1,485,552
The mode isn't applicable here as no city population repeats.
The range is the highest population minus the lowest population:
Range = 8,336,817 - 911,507
= 7,425,310
Standard deviation = (911507- 2068548.3333333)² + (978908 - 2068548.3333333)² + (979576 - 2068548.3333333)² + ( 1021795 - 2068548.3333333)² + (1343573- 2068548.3333333)² +( 1423851- 2068548.3333333)² + (1547253- 2068548.3333333)² +( 1584064- 2068548.3333333)² + (1680992- 2068548.3333333)² + ( 2320268- 2068548.3333333)² +(2693976- 2068548.3333333)² +( 8336817 - 2068548.3333333)² / 12
= 46151226311869 / 12
= 3845935525989.1
\(standard deviation = \sqrt{ 3845935525989.1}\)
= 1961105.6896529
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add 3 3/5 + 6 3/10 tyyyyy
Answers
\( = 9 \frac{9}{10} \\ \\ in \: \: alternate \: \: forms \\ \\ \frac{99}{10} \: \: \: and \: \: 9.9 \\ \\ hope \: it \: \: helps\)
see the attachment!
The scale on a map uses 1 cm to represent 10 km which proportion could be used to determine the number of kilometers represented by 8
Answers
The number of kilometers represented by 8cm is 80km.
According tot he question we have been the proportion of scaling on the map which is as follows:
1 cm : 10 km or it is also written as 1cm/10km
We need to find the number of kilometers represented by 8 cm
Let the number of kilometers that we need to find be x km. Mathematically the proportion can be written as
8 cm : x km or it is written as 8cm / x km
Also both the proportion will be equivalent. Therefore, the proportion is equal to
1/10 = 8/x
we will solve this for x, we get
x = 8*10
x = 80 km
Hence the number of kilometers represented by 8cm is 80 km
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1. Desde el pie de un edificio se observa la parte superior de una torre con un ángulo de elevación de 45°. Desde la azotea del mismo edificio se observa la cúspide de la torre con un ángulo de depresión de 60°. El edificio es 20 m. más alto que la torre. Determinar ambas alturas.
Answers
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
¿Cómo determinar la altura de dos edificios?
En esta pregunta debemos utilizar conceptos de trigonometría para determinar la altura de los dos edificios. A continuación, tenemos las siguientes expresiones trigonométricas:
Diferencia entre las alturas del edificio y el torre
20 = r₁ · sin 60°
r₁ ≈ 23.094 m
Ahora determinamos el valor de r₂ mediante identidades trigonométricas:
r₂ = r₁ · (cos 60°/cos 45°)
r₂ = (23.094 m) · (cos 60°/cos 45°)
r₂ ≈ 16.330 m
Finalmente, obtenemos las alturas de cada edificio:
Torre
h = (16.330 m) · sin 45°
h ≈ 11.548 m
Edificio
h' = h + 20 m
h' = 11.548 m + 20 m
h' = 31.548 m
Por razones trigonométricas, encontramos que las alturas de la torre y el edificio son de aproximadamente 11.548 metros y 31.548 metros, respectivamente.
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Can the angle measures of a triangle be 46°, 82°and 50°
Answers
Answer:Explanation:
No
The sum of the interior angles of a triangle is always 180°. in this case, the sum is:
Then,
46 + 82 + 50 = 178
Since 178 and 180 are distinct, 46°, 82°and 50° can't be the angle measures of a triangle.
The volume of smaller rectangular prism V = 512 cm3,
the volume of larger rectangular prism V= 4,096 cm3.
What is the ratio of the height of the smaller rectangular prism to the height of the larger rectangular prism?
Write an answer as the ratio of two whole numbers separated by colon. (example: 2:3)
Answers
1:8
please type the write answer
Answers
Step-by-step explanation:
the only thing that I can tell you about it
Question 9 of 10
Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's
account after 14 years?
A. $2940
B. $19,740
C. $11,340
D. $8610
SUBMIT
Answers
Answer:$11,340
Step-by-step explanation:
If Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
Using this formula
Future value=Principal+[(Principal ×Rate ×Time)÷100]
Where:
Principal=$8,400
Rate=2.5%
Time=14 years
Let plug in the formula
Future valve=$8,400+[($8,400×2.5%×14)÷100]
Future valve=$8,400+($294,000÷100)
Future valve=$8,400+$2,940
Future valve=$11,340
Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
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Find the value of x. Round the length to the nearest tenth.
Answers
Answer:
done it step by step
Step-by-step explanation:
The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answers
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Note one gallon of water equals 231 cubic inches. If Anna is going to clean the fish tank which measures 48 inches long by 11 inches wide by 35 inches high, how many gallons of water will it take to fill the fish tank?
If any one sees this question please help me answer it because I am having a lot of trouble.
Answers
It will take 80 gallons of water to fill the fish tank.
What is volume?The amount of space occupied by a three-dimensional object or region of space.
Given that, Anna is going to clean the fish tank, which measures 48 inches long by 11 inches wide by 35 inches high
The fish tank is cuboidal,
Volume of cuboid = length*width*height
Therefore, volume of fish tank = 48*11*35 = 18,480 in³
1 gallon = 231 in³
So, 18,480 in³ = 18,480/231 gallons = 80 gallons
Hence, Volume of tank = 80 gallons
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Find the surface area of the rectangular prism
Answers
PLEASEE HELP FASTT Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
StartFraction 17 over 4 EndFraction divided by StartFraction 36 over 2 EndFraction
StartFraction 36 over 2 EndFraction divided by StartFraction 17 over 4 EndFraction
StartFraction 17 over 4 EndFraction divided by StartFraction 37 over 2 EndFraction
StartFraction 37 over 2 EndFraction divided by StartFraction 17 over 4 EndFraction
Answers
Answer:
The answer would be D, 37/2 divided by 17/4
Explanation:
I did the test.
Answer: The answer would be D, 37/2 divided by 17/4
Step-by-step explanation:
Yes I admit I did copy and paste the answer above I did this because other people would copy it and would not give credit. Credit Goes to raydenhallstar
It is reported that the wild tiger population has declined by 97%
over the last 20 years.
There are now 3200 tigers left in the wild.
To the nearest thousand, how many wild tigers were there 20 years ago?
Answers
The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
Determine Percentage decrease theory.The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.
This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.
For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.
This question is using the percentage decrease theory. According to this theory,
you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.
Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).
Original - Current = Change
120,000 - 3200 = 116,800
Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)
Change / Original = Percentage Change
116,800 / 120,000 = 97%
Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)
Percentage Change x Original = Estimated Original
97% x 120,000 = 116,400
Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.
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Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1
Answers
Find the volume of each composite figure to the nearest whole number.
Answers
The volume of the composite figure in this problem is given as follows:
76 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
2 ft, 6 ft and 3 ft.2 ft, 4 ft and 8 - 3 = 5 ft.Hence the volume is given as follows:
2 x 6 x 3 + 2 x 4 x 5 = 76 ft³.
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