If Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
What is percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.
It is given that, Yuva works in a computer store, where she earns a commission of 8 percent of her sales. On Monday, her sales were $2,500.
Commission = 8 % of sales
Commission =($2,500)(0. 08)
Commission =$ 200
If yuvia also earns a base salary of $45 per day,
Total salary = base pay + commission].
Total salary =45 +200
Total salary =$245
f Yuvia also earns a base salary of $45 per day. The total amount she earned that day will be $245.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ1
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: 19.6 feet
Step-by-step explanation:
Using the Pythagorean theorem,
[tex]x^2 +(x+6)^2 =48^2\\\\x^2 +x^2 +12x+36=2304\\\\2x^2 +12x-2268=0\\\\x^2 +6x-1134=0\\\\x=\frac{-6 \pm \sqrt{6^2 -4(1)(-1134)}}{2(1)}\\\\x \approx 30.8 \text{ } (x > 0)\\\\\implies x+(x+6) \approx 67.6\\\\\therefore (x+(x+6))-48 \approx 19.6[/tex]
At a sale this week, a suit is being sold for $145.60. This is a 74% discount from the original price. What is the original price?
$145.60 ---> 74%
x -------------> 100%
[tex]\begin{gathered} x\times74=145.60\times100 \\ 74x=14560 \\ \frac{74x}{74}=\frac{14560}{74} \\ x=196.76 \end{gathered}[/tex]answer: $196.76 is the orginal price
Which equation represents the total commission (c) a sales associate receives if he sells laptop computers (l) with a commission of $39.95 for each sold laptop? What's the total commission if he sells 15 laptops?
A)
l = 39.95c; $599.25
B)
c = 39.95l; $2.66
C)
l = 39.95c; $2.66
D)
c = 39.95l; $599.25
Answer:
D
Step-by-step explanation:
The total commission is the number of laptops times the commission per laptop. Thus, [tex]c=39.95l[/tex].
Setting [tex]l=15[/tex], [tex]c=39.95(15)=599.25[/tex].
Harper learned to play a total of 4 pieces over the course of 2 weeks of piano lessons. After 4 weeks of piano lessons, how many total pieces will Harper be able to play? Assume the relationship is directly proportional.
Step-by-step explanation:
Harper learned to play a total of 4 pieces over the course of 2 weeks of piano lessons. After 4 weeks of piano lessons, how many total pieces will Harper be able to play? Assume the relationship is directly proportional.
4 pieces / 2 weeks = 2 pieces per week
after 4 weeks:
4 weeks * 2 pieces per week = 8 pieces after 4 weeks
Answer:
8 pieces will be learnt in 4 weeks
Step-by-step explanation:
please mark as brainliestThe radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank? Use the value 3.14 for T, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer. Continue 6.5 ft 12 ft 0 K ft X ft² 5 ft3 ?
Solution:
The volume of a cylinder is expressed as
[tex]\begin{gathered} volume=\pi r^2h \\ where \\ r\Rightarrow radius\text{ of its circular end} \\ h\Rightarrow height\text{ of the cylinder} \end{gathered}[/tex]Given the cylindrical water tank below:
where
[tex]\begin{gathered} r=6.5\text{ ft} \\ h=12\text{ ft} \\ \pi=3.14 \end{gathered}[/tex]By substitution, we have
[tex]\begin{gathered} volume\text{ = 3.14}\times(6.5)^2\times12 \\ =1591.98 \\ \Rightarrow volume\approx1592\text{ ft}^3\text{ \lparen nearest whole number\rparen} \end{gathered}[/tex]Hence, the volume of the cylindrical water tank, to the nearest whole number, is
[tex]1592\text{ ft}^3[/tex]Juan had $3.50. Julian had 2 1/2 times as much as juan how much money did julian have
HELPPPP PLSSSS I NEED A STEP BY STEP
Answer:
see explanation
Step-by-step explanation:
If the ratios of two pairs of corresponding sides of the 2 triangles are equal and the included angles are congruent then the triangles are similar by the
SAS postulate.
[tex]\frac{AC}{DF}[/tex] = [tex]\frac{5.1}{1.7}[/tex] = 3
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{3.3}{1.1}[/tex] = 3
∠ C = 180° - (36 + 67)° = 180° - 103° = 77° , then the included angles
∠ C and ∠ F = 77° are congruent
Then
Δ ABC and Δ DEF are similar by the SAS postulate
9.3 divided by 3.8 HELP ME
Answer:
Step-by-step explanation:
0 0. 4 0
9 3 3 8. 0 0
− 0
3 8
− 0
3 8 0
− 3 7 2
8 0
− 0
8 0
0.40
2.45 is the answer to 9.3 divided by 3.8
solve the quadratic equation 3x^2+x-5=0 give your answer to 2 significant figures
The resultant answer of the given quadratic equation is x₁,₂ = -1 ± √61/6.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a, and b are the coefficients, and c is the constant term.So, solve 3x²+x-5=0 as follows:
Quadratic formula: x = -b ± √b²-4ac/2aNow, evaluate as follows:
x = -b ± √b²-4ac/2ax₁,₂ = -1 ± √1² - 4×3(-5)/2×3x₁,₂ = -1 ± √61/2×3x₁,₂ = -1 ± √61/6Therefore, the resultant answer of the given quadratic equation is x₁,₂ = -1 ± √61/6.
Know more about quadratic equations here:
https://brainly.com/question/1214333
#SPJ1
In a proof what is the reason that justifies this statement:
Segment BP is congruent to segment BP.
Answer: I believe that the BP segment is equal to BP segment because of the reflexive property.
Step-by-step explanation:
The required reason is that segment BP is congruent to segment BP that Segment BP is the common side among both triangles.
In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
The necessary explanation is that segment BP and segment BP are congruent because segment BP is the common side of both triangles BPS and BPY, as shown in the figure.
Thus, the required reason is that segment BP is congruent to segment BP and that Segment BP is the common side among both triangles.
Learn more about congruent geometry here. https://brainly.com/question/12413243
#SPJ2
Divide £350 in the ratio
3:11
£350 is divided in the ratio 3:11 is £75 and £275.
The given ratio is 3:11.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
We need to divide £350 in the given ratio
Now, 3+11=14
3/14 × 350
= £75
11/14 × 350
= £275
Hence, £350 is divided in the ratio 3:11 is £75 and £275.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ1
PLS HELP ILL MATK BRAINLIEST
the area of a square garden is
84 square
feet what is the best estimate of the sidelenght of the garden
21
11
7
9
Answer:
40q7572928254949262618394938282920420
x/0.6= 9/0.5 Solve for x please
The solution of the equation given as x/0.6= 9/0.5 is x= 10.8
How to determine the solution of the equation?The equation is given as
x/0.6= 9/0.5
There are no constants to add or subtract in the equation
So, we have
x/0.6= 9/0.5
Multiply through the equation by 0.6
This gives
0.6 * x/0.6= 9/0.5 * 0.6
Evaluate the products
0.6 * x/0.6= 10.8
Evaluate the products, again
x= 10.8
Hence, the solution is 10.8
Read more about equations at
https://brainly.com/question/2476251
#SPJ1
the diagram shows a sector of a circle, center O. The radius of the circle is 6cm. angle AOB is 120. work about the perimeter of the sector.
picture below:
The perimeter of the sector is 2cm
The diagram shows a sector of a circle, center O.
The radius of the circle is 6cm.
The angle AOB is 120
We need to find the perimeter of the sector
s = r∅
Where ∅ is the angle subtended by the arc
r is the radius of the circle
s = 6 (120/360)
s = 6 (1/3)
s = 2
Therefore, the perimeter of the sector is 2cm
To learn more about sector refer here
https://brainly.com/question/28108430
#SPJ1
In a college there are 16 times as many students as professors. If together the students and professors number 42,500, how many students are there in the collego?The number of students in the college is
Let the number of professors be x.
If there are 16 times as many students as professors, then the number of students will be:
[tex]x\times16=16x[/tex]If the number of students and professors is 42,500, then we have that:
[tex]\begin{gathered} x+16x=42500 \\ 17x=42500 \end{gathered}[/tex]Solving by dividing both sides by 17, we have:
[tex]\begin{gathered} x=\frac{42500}{17} \\ x=2500 \end{gathered}[/tex]Hence, we can calculate the number of students in the college to be:
[tex]\Rightarrow2500\times16=40000[/tex]Therefore, there are 40,000 students in the college.
A. "Describe the trend in vehicle sales over time" - Should I use a regression model or just a linear model?
Regression
A) We can see the graph and through the data that the most indicated form is to find the regression model since there is not much uniformity among the data to describe it as a purely linear model.
Plotting that scatterplot, and generating the equation we know that the equation is:
[tex][/tex]Write an equation in slope-intercept form for the line with a slope of -1 and a y-intercept of -2.
Answer:
y = -x - 2
Step-by-step explanation:
Write an equation in slope-intercept form for the line with a slope of -1 and a y-intercept of -2.
slope-intercept form: y = mx + b where m = slope and b = y-intercept
when:
slope of -1
y-intercept of -2
then:
y = -1x + (-2)
y = -x - 2
Answer:
y= -x-2
Step-by-step explanation:
y=mx+b
slope=m
y intercept=b
m= -1
b= -2
input values of m and b to get equation:
y=(-1)x+(-2)
y= -1x-2
y = -x-2
y= -x-2
pls mark as brainliest
can someone please help me i don't understand this
Answer:
Step-by-step explanation:
equation of finding a midpoint is (x2+x1)/2 and (y1+y2)/2
7) (4+12)/2 = 8 and (9+-4)/2= 2.5
hence midpoint is (8,2.5)
8) we are told the midpoint so we can now find the co-ordinates of the other endpoint:
(5+x)/2= -3
rearrange to find x--> 5+x =-6, so x=-11
(-7+y)/2=2
rearrange to find y--> -7+y=4, so y=11
other endpoint: (-11,11)
5) the gradient of the new equation is parallel to y=3x+7 so it will stay the same
y=3x+c
we know that the points this line passes through is: (-4,-8) so we substitute this into our new equation to find c
-8= (3 x -4) +c
-8=-12 +c
so c= 4
Hence our new equation is y=3x+4
6) perpendicular gradient means that our existing gradient needs to be reciprocated (turned into negative and then flipped)
new gradient is -1/3
y=-1/3x+c
we know the value for x and y so we can substitute into our new equation to find c
9=(-1/3 x -6) +c
9=2 + c
c= 7
Hence our new equation is y=-1/3x+7
Hope this helps!
make a tree diagram to show the sample space. then, give the total number of outcomes. question 1. making a meal with chicken or steak and broccoli, carrots, potatoes,or green beans.
The sample space which is the total possibilities is 4
The number of murders and robberies per 100,000 population for a random selection of states is shown.
The equation of the regression line has the following shape:
[tex]y=mx+b[/tex]Where m is calculated through the following equation:
[tex]m=\frac{N\sum^{}_{}xy-\sum^{}_{}x\sum^{}_{}y}{N\sum^{}_{}x^2-(\sum^{}_{}x)^2}[/tex]And b is calculated through the following equation:
[tex]b=\frac{\sum^{}_{}y-m\sum^{}_{}x}{N}[/tex]N is the number of samples. 8 for this case.
The values of all the sums present in the above equation are reported in the last row of the table:
[tex]\begin{gathered} \sum ^{}_{}x=31 \\ \sum ^{}_{}y=680.1 \\ \sum ^{}_{}xy=3202.71 \\ \sum ^{}_{}x^2=142.52 \\ \sum ^{}_{}y^2=80033.99 \end{gathered}[/tex]Now, we can begin calculating m by replacing the values:
[tex]\begin{gathered} m=\frac{8\cdot3202.71-31\cdot680.1}{8\cdot142.52-31^2} \\ m=25.333 \end{gathered}[/tex]The slope of the equation is m = 25.333.
Now, we can calculate b:
[tex]\begin{gathered} b=\frac{680.1-25.333\cdot31}{8} \\ b=-13.153 \end{gathered}[/tex]Now that we know the parameters m and b for the linear regression, we can build the equation:
[tex]\begin{gathered} y=mx+b \\ y=25.333x-13.153 \end{gathered}[/tex]Where x represents the murders and y the robberies per 100,000 population.
Then, (a): the equation of the regression line is y = 25.333x - 13.153.
To predict the robberies per 100,000 population when x = 4.5 murders, we just need to replace that 4.5 in the equation that we just found:
[tex]y=25.333\cdot4.5-13.153=100,85[/tex]Finally, (b): according to the linear regression, the number of robberies per 100,000 population when x = 4.5 murders is approximately 100,85.
Which of the following ratios are equivalent to 8:2?
A 16:4
B 40:10
C 2:8
D 10:4
E 1:6
F 4:1
Answer:
A, B, F
Step-by-step explanation:
Well, to do this let's start by simplifying each of the ratios! If they can be simplified to 8:2 then they are a match
A: 16:4
Divide both sides by 2: 8:2 (This is an answer)
B: 40:10
Divide both sides by 5: 8:2 (This is also an answer)
C: 2:8
This one is not possible, because you would have to multiply the 2 by a whole number, and the 8 by a number less than one. Both have to be multiplied/divided by the same number.
D: 10:4
To get the 4 into a 2, we divide by 2. If we divide the 10 by 2 we get 5. Thus, this is not an answer.
E: 1:6
To get the 6 into a 2, we must divide it by 3. If we divide 1 by 3, we get a decimal, not 8.
F: 4:1
Multiply both sides by 2: 8:2 (This is our final answer)
select the correct location on the graph PICTURE OF PROBLEM AND GRAPH BELOW
Given the graphed equation:
[tex]0.01x^3-3=|x|-5[/tex]Let's determine the point that represents a negative solution for x.
The solutions are the points where both lines meet.
From the graph, the solution which has a negative solution for x is:
(-2, -3)
In this point of intersection, the value of the x-coordinate is -3 (which is a negative value).
Therefore, the point which represents a negative solution for x is:
(-2, -3)
ANSWER:
(-2, -3)
2A professional pyro technician shoots fireworks vertically into the air from the ground with an initial velocity of 192
feet per second. The height in feet of the fireworks is given by h(t) = -16t² + 192t.
a. How long does it take for the fireworks to reach the maximum height?
b. What is the maximum height reached by the firework?
Answer:
See below
Step-by-step explanation:
Maximum height will be found at the t value = - b/2a
b = 192 a = -16
so max height will be at t = - 192/(2 * -16) = 6 s
Max height will be h = -16(6^2) + 192(6) = 576 ft
10 Daphne is making bows for extra money. For every 3 feet of ribbon she has, she can make 5 bows. Which table shows the possible values of the number of bows she can make and the amount of ribbon she will use? 3 15 33 5 15 20 55 В. 3 18 27 36 5 60 45 50 3 6 15 30 5 10 25 50 11 3 18 27 5 10 30 40
Daphne makes 5 bows for every 3 feet of ribbon, this means that for every 3 feet increase in length of ribbon the bows increases by five. So,
For 3 feet, bows are 5,
For 6 feet bows are 10,
For 9 feet bows are 15,
For 12 feet bows are 20
For 15 feet bows are 25,
for 18 feet bows are 30,
For 21 feet bows are 35,
For 24 feet bows are 40.
For 27 feet bows are 45
For 30 feet bows are 50.
Thus option C is correct.
How many deciliters are in 1 milliliter?100100.10.01
We are asked to find how many deciliters can be found in 1 mililiter.
To get the solution we have to find the conversion factor. All we need to do is divide the volume by 100.
Here is a formula
[tex]\text{Value in deciliters =}\frac{Value\text{ in mililiters}}{100}[/tex]This implies,
[tex]\begin{gathered} \text{Value in deciliters=}\frac{1}{100} \\ \text{Value in deciliters}=0.01 \end{gathered}[/tex]ANSWER: 0.01
[{12 - 6 (5 - 3) + 2} + 5 (6-71]
Here, we want to evaluate the expression
We use the order of operations here PEDMAS ( parentheses, exponents (roots and powers) , division, multiplication, addition and subtraction)
We start out with the parentheses, then move on with the terms outside by multiplication
We have this as follows;
[tex]\begin{gathered} ((12\text{ -6(2)+2)) + 5(-65))} \\ =\text{ ((12-12+2)-325)} \\ =\text{ 2-325 = -323} \end{gathered}[/tex]Graph the function by first finding the relative extrema. f(x) = x3 + 4x2 - X - 4 $ HI 4 M 2 4 a 2 4 2 WHATS
The relative extrema of the function f(x) = x³ + 4x² - x - 4 is at
( [tex]-\frac{4+\sqrt{19}}{3} ,\frac{56+38\sqrt19}{27}[/tex] )and the graph of the function is attached below.
The given function is f(x) = x³ + 4x² - x - 4
For the relative extrema we will first have to find the first derivative of the function:
f'(x) = 3x² + 8x - 1
Now for4 the function to have an extremum, f'(x) = 0
3x² + 8x - 1 = 0
Solving we get :
the values of x using the quadratic formula are [tex](-\frac{4-\sqrt{19}}{3} , -\frac{4+\sqrt{19}}{3} )[/tex] .
Now we will substitute the values of x in the function f(x) to get the local extremum.
The maximum value of f(x) is [tex]\frac{56+38\sqrt19}{27}[/tex].
The minimum value of f(x) is [tex]\frac{56-38\sqrt19}{27}[/tex] .
Now we will use various points to find the values of f in the function.
At x = -3 , y = 8
At x = 0 , y = -4
At x =-1 , y = 0
Hence the relative extremum of the function is at [tex](-\frac{4+\sqrt{19}}{3} ,\frac{56+38\sqrt19}{27})[/tex] .
To learn more about function visit :
https://brainly.com/question/9554035
#SPJ9
Factor the expression 36a + 42b - 18a + 6
+10 points=brainliest
Answer:
6(3a+7b+1)
Step-by-step explanation:
36a+42v-18a+6
18a+42b+6
GCF=6
6(3a+7b+1)
The factor of the given expression is 6(3a+7b+1).
What are factors?A factor is a number that divides another number, leaving no remainder.
Given an expression, 36a + 42b - 18a + 6
On factoring, we get,
36a + 42b - 18a + 6
= 18a+42b+6
= 6(3a+7b+1)
Hence, The factor of the given expression is 6(3a+7b+1).
For more references on factors, click;
https://brainly.com/question/24182713
#SPJ2
Finding the final amount in a world power problem on a compound interest
Using the compound interest formula, we have:
[tex]FV=2000(1+\frac{0.12}{2})^{6\cdot2}[/tex][tex]FV=2000(1.06)^{12}[/tex][tex]FV\approx4024.39[/tex]What is the answer we need the answer
To earn exactly $252, madison needs to work for 21 hours.
Time money
worked earned
5 60
8 96
12 144
15 180
We need to find how many hours should madison work to earn exactly $252
For 5 hours she earns $60
So in 1 hour she earns $ 60/5 = 12
For $1 she needs to work for 1/12 hour
For 252 she need to work for (1/12) 252
For 252 she need to work for 21
Therefore, to earn exactly $252, madison needs to work for 21 hours.
To learn more about unitary method refer here
https://brainly.com/question/24587372
#SPJ1