Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.
What is the explanation?Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple
The commission that Cindy received can be determined by:
= Commission % x Price of booked trip
= 9% x 9,300
= $837
Consequently, the following is her hourly wage:
= Commission received / Hours worked
= 837 / 8
= $104.62
The bottom line is that made $104.62 per hour plus $837 in commission.
Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.
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what is the slope of -3 up to positive 3
The line or points has a slope value of -1
How to determine the slope of the point?From the question, we have the following statement that can be used in our computation:
The slope of -3 up to positive 3
For a start, we represent the above parameters using an ordered pair
The ordered pair is represented as
(x, y) = (-3, 3)
The slope of the point is then calculated using the following slope formula
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (-3, 3) and (0, 0)
The coordinate (0, 0) represents the origin
Substitute the known values in the above equation
So, we have the following equation
Slope = (3 - 0)/(-3 - 0)
Evaluate the difference
So, we have the following equation
Slope = (3)/(-3)
Evaluate the quotient
So, we have the following equation
Slope = -1
Hence, the slope is -1
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What is the area of the hexagon?
6m
5m
10 m
5m
6m
Find the value of y.
Answer:
y = \(\sqrt{55}\)
Step-by-step explanation:
using the Altitude- on- Hypotenuse theorem
(altitude)² = product of parts of hypotenuse
then
y² = 11 × 5 = 55 ( take square root of both sides )
y = \(\sqrt{55}\)
what are all of the multiples of 69,420??
Answer: 69 and 420
Step-by-step explanation:
Calculate the price of a zero-coupon bond that matures in five years if the market interest rate is 7.50 percent. (Assume semiannual
compounding and $1,000 par value.)
Multiple Choice
Based on the information given, the price of the zero coupon bond is $692.04.
How to solveTo calculate the price of a zero coupon bond, we need to use the following formula:
\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)
Where:
P = price of the bondF = face value of the bondr = annual interest raten = number of compounding periods per yeart = time to maturity in yearsAlso, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.
Plugging in the values into the formula, we get:
\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)
\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)
\(\sf P = \dfrac{1000}{1.4450}\)
\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)
Therefore, the price of the zero coupon bond is $692.04.
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Greatest common factor of 30 and 40 explained please help!
Answer: it's 10
Step-by-step explanation:
30 = 1 2 3 4 5 6 10 15 30 (all the factors of 30)
40 = 1 2 3 4 5 8 10 20 40 (all the factors of 40)
Ok you'll find the same numbers but the highest and it's 10.
Can someone please explain to me how to solve the problem? I need to know how to complete it more than just the answer. Thanks!
A plane is flying at an altitude of 13,000 ft, where the temperature is -2 degrees F. The nearby airport, at an altitude of 2,000ft, is reporting precipitation. If the temperature increases 2.1 degrees F for every 1000-ft decrease in altitude, will the precipitation at the airport be rain or snow? Assume that rain changes to snow at 32 degrees F.
Is the precipitation at the airport rain or snow?
9514 1404 393
Answer:
snow
Step-by-step explanation:
The relationship between temperature and altitude is given as ...
T = -2 +((13000 -a)/1000)×2.1
We can put a=2000 into this equation to find the temperature at that altitude.
T = -2 +((13000 -2000)/1000)×2.1 = -2 +11(2.1) = -2 +23.1 = 21.1
The airport temperature of 21.1 °F is below 32 °F, so we expect the precipitation to be snow.
Select the correct texts in the passage.
Sara is having some trouble choosing insurance coverage, so she is discussing her possible choices with a friend.
Which of Sarah's reasons for rejecting insurance are reasonable?
All this insurance is so expensive! I'm not getting vision insurance because I don't have any problems with my glasses. Life Insurance doesn't
seem worth it because I take good care of myself. As for car insurance, I'm going with the minimum coverage because I drive an old car, and
accidents aren't very common on my commute.
Answer:
"Because I don't have any problems with my glasses"
Step-by-step explanation:
Just because someone takes good care of themselves doesn't mean that something can happen, and having an older car is a higher reason as for why you should get insurance
We can conclude that the reasonable reason for rejecting Sarah's insurance is given in option - {1} : I'm not getting vision insurance because I don't have any problems with my glasses.
What is passage?A passage is usually is a specific portion of a given written text.
Given is the text passage as -
Sara is having some trouble choosing insurance coverage, so she is discussing her possible choices with a friend
Given is to find which of the mentioned Sarah's reasons for rejecting insurance are reasonable.
The reasonable reason for rejecting Sarah's insurance is given in
option - {1} : I'm not getting vision insurance because I don't have any
problems with my glasses
Therefore, we can conclude that the reasonable reason for rejecting Sarah's insurance is given in option - {1} : I'm not getting vision insurance because I don't have any problems with my glasses.
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If Isabella has 1809 and Leah takes 27 how many will Isabella have left
1809/27=
Answer:
1809/27=67 is your answer........
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Si cada metro cuesta $5.60, ¿cuanto pago por todo el encaje que necesitaba?
Answer:
Costo total= $86.6
Step-by-step explanation:
Dada la siguiente información:
Guadalupe Fue a la mercería a comprar 15.5 m de encaje blanco que necesitaba para la clase de costura. Cada metro cuesta $5.60.
Si y= costo total, y x= cost por metro, entonces:
y= 5.6x
Para 15.5 metros:
y= 5.6*15.5= $86.8
What is the value of x in x + 129 = 237?
Answer:
108
Step-by-step explanation:
237-129= 108
hope it helps
Answer:
x= 108
Step-by-step explanation:
use inverse operations to subtract 129 from both sides
x+129=237
-129 -129
x=108
Grace has a segment with endpoints A(3, 2) and B(6, 11) that is partitioned by a point C such that AC and BC form a 2:3 ratio. She knows that the distance between the x-coordinates is
units. Which of the following fractions will let her find the x-coordinate for point C?
A.3/5
B.3/2
C.2/3
D.2/5
The fractions will let her find the x-coordinate for point C is 2/5
How to calculate the midpoint of coordinatesThe formula for calculating the midpoint of coordinates is expressed as:
\(M(x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)
Substitute the given coordinate into the formulas:
\(M(x,y) = (\frac{3(2)+3(6)}{2+3},\frac{2(2)+3(11)}{2+3}) \\M(x,y) = (\frac{24}{5},\frac{37}{5}) \\M(x,y) = (4.8,7.4)\)
From the calculation, we can see that the fractions will let her find the x-coordinate for point C is 2/5
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Hi help please quick
Answer:
Initial amount: 934 g
After 80 years: 147 g
Step-by-step explanation:
\( A(t) = 934 (\dfrac{1}{2})^\frac{t}{30} \)
The initial amount occurs at t = 0.
\( A(0) = 934 (\dfrac{1}{2})^\frac{0}{30} \)
\( A(0) = 934 (\dfrac{1}{2})^0 \)
\( A(0) = 934 \times 1 \)
\( A(0) = 934 \)
After 80 years, t = 80.
\( A(80) = 934 (\dfrac{1}{2})^\frac{80}{30} \)
\( A(80) = 934 (\dfrac{1}{2})^\frac{8}{3} \)
\( A(80) = 934 (0.15749) \)
\( A(80) = 147 \)
number 4. and 5.
What is the unit rate for each size?
Which size is a better buy? why?
Answer:
Step-by-step explanation:
4)
Regular $4 / 8 cups = $0.50 / cup
Large $6 / 15 cups = $0.40 / cup
5)
most people would consider the Large to be the better buy because the price per cup is lower.
Evaluate (n-0) for n=4 and r= 1.
(n-r)!=[] for n=4 and r= 1
(Simplify your answer.)
Question:
Evaluate n!/r!(n-r)!=[ ] for n=4 and r= 1 (Simplify your answer.)
Answer:
\(\frac{n!}{r!(n-r)!} = 4\)
Step-by-step explanation:
Given
\(n = 4\) \(r = 1\)
Required
Evaluate \(\frac{n!}{r!(n-r)!}\)
The solution is as follows:
\(\frac{n!}{r!(n-r)!} = \frac{4!}{1!(4-1)!}\)
\(\frac{n!}{r!(n-r)!} = \frac{4!}{1!*3!}\)
Evaluate each factorial
\(\frac{n!}{r!(n-r)!} = \frac{4*3*2*1}{1*3*2*1}\)
\(\frac{n!}{r!(n-r)!} = \frac{4}{1}\)
\(\frac{n!}{r!(n-r)!} = 4\)
Eleven students were surveyed on the number of hours of TV they watch each week. The results are shown below:
10, 11, 12, 12, 12, 15, 15, 16, 16, 17, 18
What is the mode of the data set?
O 15
08
14
12
Dr. Toliver has 6 fossils.
Dr. Cook has 5 times as many fossils as Dr. Maranan.
They have 90 fossils altogether. How many fossils does Dr. Maranan have?
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(hp
Answer:
dude 30 fossils are left
Step-by-step explanation:
the graph of g(x) is shown below. determine which of the following is false
ANSWER :
b.
EXPLANATION :
From the given, the graph intersects the x-axis at points (-7, 0) and (1, 0).
These points are called the roots.
One of the option states that the roots are (0, -7) and (0, -1).
Therefore, this is the only option that is false.
Need helpppppppppppppppp
Answer:
\(46\%\)
Step-by-step explanation:
let the percentage be x
\( 37 \times x\% = 17\\ 37 \times \frac{x}{100} = 17 \\ \frac{37x}{100} = 17 \\ x = \frac{17 \times 100}{37} \\ x = 45.94\%\)
Here is Takeshi's work determining a third point on the graph of an exponential function, `h(x)`.
Explain why the work is incorrect.
Answer:
Step-by-step explanation:
Let h(x) = y
The exponentail function is of the form :
\(y = ab^x\)
We have :
\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)
Given points : (4, 9) and (5, 34.2)
We have:
\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)
Writing the equation with x, y and b:
\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)
a = 0.043
b = 3.8
When x = 6, y will be:
\(y = (0.043)(3.8^6)\\\\y = 128.47\)
This is not the y value in the question y = 59.4
Therefore (6, 59.4) does not lie on the graph h(x)
0) Multiply (5 x 10567 x 10), express in scientific notation
Answer:
3.8×10^8
hope it's helpful
solve 2y+7>15.2 pls help
Answer:
\(y>4.1\)
Step-by-step explanation:
[Shown in image]
The Solution of the Inequality is y> 2.1.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
We have,
Inequality: 2y + 7 > 15.2
Now, simplifying the inequality
2y > 15.2-7
2y > 8.2
y> 8.2 /2
y> 2.1
So, the solution is y>2.1
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Solve for z.
6z+ 3 - 4z = 9
Answer:
z = 3
Step-by-step explanation:
What is the slope of line p?
ty
4
DONE
===========================================================
Explanation:
Start at the point (0,0) which is the origin. Move up 2 units then to the right 3 units to arrive at the next blue point (3,2). We see that
rise = 2
run = 3
slope = rise/run = 2/3
----------
If you want to use the slope formula, then you would say
m = (y2 - y1)/(x2 - x1)
m = (2 - 0)/(3 - 0)
m = 2/3
I used the two points (0,0) and (3,2). You could use any two points you like on this line.
Side note: The slope is positive because we are moving uphill as you move from left to right along this orange line.
The slope of the line p is given by 2/3.
What is Slope of a Straight line?The tangent value of the angle which the straight line makes with the positive X axis is called the slope of that particular straight line.
If s line passes through two points (a,b) and (c,d) then the slope of the line (m) is given by,
m = (d-b)/(c-a)
Here in the given figure we can see that the given line p passes through (3,2), (-3,-2) and the origin (0,0)
then taking any two points out of that three (3,2), (0,0) we get, the slope of p is given by,
m = (2-0)/(3-0) = 2/3
Hence slope of line p is given by 2/3.
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15 POINTSS! Please work it out completely and answer! :)
How many solutions does the system have?
x=3y+16
x+4y=5
The solution of the system is y = -11/7 and x = 79/7
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.
Given:
A system of equations,
x = 3y + 16 {equation 1}
x + 4y = 5 {equation 2}
The value of x from the equation substituted to equation 2,
we get,
3y + 16 + 4y = 5
7y = -11
y = -11/7 and x = 79/7
Therefore, the solution is y = -11/7 and x = 79/7.
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The Combinatorial Creamery features 10 flavors of ice cream. Their waffle cone special has four scoops of different flavors stacked on top of each other on a waffle cone. You can decide the order in which the scoops are stacked. How many different waffle cone specials could you possibly order from the Combinatorial Creamery?
Using the Fundamental Counting Theorem, it is found that you could order 240 different waffle cone specials could you possibly order from the Combinatorial Creamery.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with \(n_1, n_2, \cdots, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
For this problem, we have that the parameters are found as follows:
10 flavors, hence \(n_1 = 10\).The order of the scoops can be chosen, with 4! possible orderings, hence \(n_2 = 4! = 24\).Thus, the number of cones is given by:
N = 10 x 24 = 240.
240 different waffle cone specials could you possibly order from the Combinatorial Creamery.
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Help PLS ASAP!!!!!!!!!!!!
Answer:
The answer is
" THe middle triangle is scalene"
and "the right and left triangle are isosceles"
Step-by-step explanation:
This is because B, and D are wrong.
B is wrong because all three sides are different lengths
D is wrong because the right and left triangles are not equalateral
give brainliest please!
hope this helps :)
Drawing a number divisible by 3 then drawing a 1
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
I need help please
Step-by-step explanation:
To help, but not give the answer so you can learn to do this:
To find the slope, choose any two points on the graph (no really IT DOESN'T MATTER WHICH ONE). Use the equation y-y/x-x to get the slope.
Ex. 8-3/5-1=4/3
(NOTE: Always write your answer as either an improper fraction or a whole number!)
To find the distance, go across the x-axis, however many units away the closest point is to your chosen point. Then, go across the y-axis for the required # of units. Next, find the total number of the x and y units. You can also subtract the smallest coordinate from the greatest if the two ordered pairs are in the same quadrant. If not in the same quadrant, add the coordinates together. If the value of x or y happens to be the same as your chosen coordinate, find the sum of the two numbers that are equal, or subtract if in the same quadrant.
Also, in case you have another question relating to the same line, the given line is NOT proportional. Just in case, though!
I hope this helps you with your question!
(Happy Halloween! )
Use properties to simplify the algebraic expression of (4 + x) + 2
A. 4x + 2
B. 2 + (4 + x)
C. X+ 6
D. 6x
Answer:
A. 4x + 2
Step-by-step explanation:
it's simple you combine the number with the variable in this case x and you leave the 2 as it is so your result is 4x+2