What happened when the stock decreased by $123?
16. Mrs. Hunneycutt makes dog sweaters. Her profit each month is a function of the
price she charges for each sweater. Her total profits, y (in hundreds of dollars), based
on the sales price, x, can be modeled by the function y=-3x2 + 39x - 108.
Identify any zeros of the function, and interpret what the zeros mean in terms of the
situation
Answer:
The total profits will be zero at sales prices of $4 and $9
Step-by-step explanation:
∵ The function is y = -3x² + 39x - 108, where
y is the total profits of hundreds of dollars x is the sales priceThe zeroes of the function are the values of x at y = 0
→ To find the zeroes of the function above equate y by 0
∵ 0 = -3x² + 39x - 108
→ Switch the two sides
∴ -3x² + 39x - 108 = 0
→ Divide all terms by -3 to simplify the equation
∴ x² - 13x + 36 = 0
→ Let us factor the trinominal into two brackets
∵ The last term is +ve and the middle term is -ve
∴ The two brackets have (-) sign in the middle ⇒ (... - ...)(... - ...)
∵ x² = (x)(x)
∵ 36 = (4)(9)
∵ (4)(x) + (9)(x) = 4x + 9x = 13x ⇒ the value of the middel term
→ That means the factors of the trinomial are (x - 4) and (x - 9)
∴ x² - 13x + 36 = (x - 4)(x - 9)
→ Replace the trinomial by its factors
∴ (x - 4)(x - 9) = 0
→ Equate each bracket by 0 to find x
∵ x - 4 = 0
→ Add 4 to both sides
∴ x = 4
∵ x - 9 = 0
→ Add 4 to both sides
∴ x = 9
∴ The zeroes of the functions are 4 and 9
∵ x represents the sales price in dollars
∴ The sales prices which make zero profit are $4 and $9
∴ The total profits will be zero at sales prices of $4 and $9
What is 465,211 rounded to the nearest hundred thousand?
Answer:465000
Step-by-step explanation:
Tim had $150 to spend on 3 pairs of pants. After buying them, he had $30 left over. What equation expresses how much each pair of pants cost?
Answer:
Step-by-step explanation:
3x+30=150
its 120 then divide by 3 which is 40
What is
1
,
318
×
27
?
Answer:
1,8586
Step-by-step explanation:
28. Simplity
a) 4x + 2x
Find the distance between the two points in simplest radical form.
5,9 and -4,-3
Answer:
gg
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
15
help with question 8 please
Answer:
the answer is G I believe
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for
maximum taxable earnings.
a. Social Security tax: $1,459.67, Medicare tax: $341.37
b. Social Security tax: $14,596.66, Medicare tax: $3,413.70
c. Social Security tax: $662.16, Medicare tax: $341.37
d. Social Security tax: $6,621.60, Medicare tax: $3,413.70
Answer:
D Social Security tax: $6,621.60, Medicare tax: $3,413.70
Step-by-step explanation:
Following are the calculation to the Social Security and Medicare tax value:
This Social Security tax is a percent to which both workers and employers must pay [tex]6.2\%[/tex] of employee wages, for a total of [tex]12.4\%[/tex].The state pension, which would be applied to a [tex]\$235,430[/tex] annual wage with a maximum tax liability:[tex]\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20[/tex]
Its payroll tax for Medicare is [tex]2.9\%[/tex].This only applies to earned income, which includes salaries and tips from an employer. We are liable for [tex]1.45\%[/tex] of a tax, which would be immediately withheld from your paycheck. The other [tex]1.45\%[/tex] is paid by your company. This Medicare tax would be charged to a [tex]\$235,430[/tex] annual salary with a maximum taxable income:[tex]\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20[/tex]
Therefore, the final answer is "$13,243.20 and $3,097.20".
Learn more:
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Label following study as either an observational study, an experiment, or neither.
Many parents have expressed concerns that pertussis vaccinations will cause wheezing disorders or asthma in later life. In 2009 the Journal of the American Academy of Pediatrics published research by the Institute of Social and Preventive Medicine in Bern, Switzerland. The researchers wanted to determine if routine childhood vaccination against pertussis (whooping cough) was associated with subsequent development of childhood wheezing disorders and asthma. The researchers studied 6811 children from the general population born between 1993 and 1997 in Leicestershire, UK. From birth through 2003, they conducted repeated questionnaire surveys about wheeze and asthma and then linked the respiratory symptom data to independently collected vaccination data from the National Health Service database. Then the researchers compared wheeze and asthma incidents for children of three different levels of vaccination (complete, partial, and no vaccination). The analyses were based on 6,048 children with available vaccination records.
a. observational study
b. an experiment
c. neither
Answer:
a. observational study
Step-by-step explanation:
An observational study is one in which the researcher seeks to discover the effect of a disease or treatment without interference on those who are affected or not affected by it. Observational studies could be of two types namely; the case-control, and the cohort study. The research given above is a cohort study because it compares a group of people born in the same time period and checks for the presence of a disease that could be linked to the vaccinations administered at birth.
A case-control study compares those affected by the disease to those not affected by it. An experimental study assigns the participants to groups and there is a control or placebo group. After this, the results from the groups are compared.
Isabella types 423 words in 9 minutes. What is Isabella's typing rate in words per minute? HELP
Answer:
47 words per minute
triangles EFG and JKL are congruent then which two segments must be congruent?
EF = JK
FG = KL
LJ = GE
Here you go.
Jordan earns $15.35 per hour. on Tuesday , Jordan clocked in at 7:45 Am then clocked out for a break at 12:15 am and working until 6:00 pm a.How many hours did Jordan work b.what was his total pay for day
12:45Answer:
Part A: 9 hours 45 minutes
Part B: $126.1575
Step-by-step explanation:
Part A,
From 7:45 to 12:15 is 4 hours and 30 minutes
From 12:45 which he clocked back in to 6:00 is 5 hours and 15 minutes.
4 hours and 30 minutes plus 5 hours and 15 minutes = 9 hours and 45 minutes.
Part B, 9 hours and 45 minutes can be represented as 9.45
And since he gets 15.35 "per" hour shows we can multiply.
15.35 x 9.45 = 126.1575
Therefor he earned 126.15.
One endpoint of a line segment has coordinates represented by (x+4,1/2y). The midpoint of the line segment is (3,−2).
How are the coordinates of the other endpoint expressed in terms of x and y?
Answer:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Step-by-step explanation:
We are given that one of the endpoints of the line segment is:
[tex]\displaystyle \left( x + 4, \frac{1}{2}y\right)[/tex]
And that the midpoint of the line segment is (3, -2).
And we want to find the other coordinates in terms of x and y.
We can consider using the midpoint formula:
[tex]\displaystyle M = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We are given that the midpoint is (3,-2). Substitute:
[tex]\displaystyle (3, -2) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex]
We can solve for each coordinate independently.
x-coordinate:
We have:
[tex]\displaystyle 3=\frac{x_1+x_2}{2}[/tex]
One of the two endpoints is (x + 4, 1/2y). Hence, we can substitute x + 4 for x₁:
[tex]\displaystyle 3=\frac{(x+4)+x_2}{2}[/tex]
Solve for the second x-coordinate x₂:
[tex]\displaystyle \begin{aligned} 6 & = x+4 + x_2 \\ \\ x_2 + x & = 2 \\ \\ x_2 & = -x +2 \end{aligned}[/tex]
Hence, the x-coordinate of the second point is -x + 2.
y-coordinate:
We have:
[tex]\displaystyle -2=\frac{y_1+y_2}{2}[/tex]
We can substitute 1/2y for y₁. This yields:
[tex]\displaystyle -2=\frac{\dfrac{1}{2}y+y_2}{2}[/tex]
Solve for y₂:
[tex]\displaystyle \begin{aligned} -4 & = \frac{1}{2}y + y_2 \\ \\ y_2 & = -\frac{1}{2}y - 4\end{aligned}[/tex]
In conclusion, the other coordinate expressed in terms of x and y is:
[tex]\displaystyle \left(-x+2, -\frac{1}{2}y-4}\right)[/tex]
Answer:
This is for a different question the answer above is correct because I used it steps. Now the question below is similar and is on the test.
Step-by-step explanation:
Can someone answer this question with the right answer
Answer:
Option 4: Triangle DBC is congruent to triangle RQP
Solve for x and y in the diagrams below.
1. x = 13, y = 11.5
2. x = 39, y = 123
Step-By-Step Explanation: For the first diagram, you can see that 10x - 42 = 6x + 10 by way of vertical angles. Vertical angles are two opposite angles created by the same two lines, meaning that they will ALWAYS be congruent. Solving for x, you get that 4x = 52, or that x = 13. There is another thing. Both of the diagrams have a total angle measurement of 360, since they both go all the way around. Knowing that, 6x + 10 + 8y must be equal to half of that, or 180. Solving for 88 + 8y = 180 (since you know the value of x), you know that 8y = 92, or x = 11.5.
For number two, the concept is very similar, but this time there's more angles. You can immediately see that there are 3 pairs of vertical angles. The value of the angle squishes between the x - 10 and the 3x + 6 is x - 11; again, vertical angles. The angle squished between 3x + 6 and x - 11 is x - 10 (vertical angles!). Last, you know that 3 x + 6 = y, since they are vertical angles. Combining 2(x-11) and 2(x-10) and 2(3x+6) [remember, y = 3x + 6!!], you get that 10 x = 390, and x = 39. Plug that in for the value of y, which is 3x + 6, giving you 123 degrees.
18/7 divided by 6/9 and how to get there
Answer:
27/7 or 3 6/7
Step-by-step explanation:
18/7 ÷ 6/9
~Copy dot flip
18/7 × 9/6
~Multiply both numerators and denominators
162/42
~Simplify
27/7 or 3 6/7
Best of Luck!
P.
9
Letters x, y, and z are angle measures. Which
equations would guarantee that lines p and q are
parallel? Check all that apply.
x= Z
O x + y = 180°
X+ z = 180°
y 2
Ox=y
z = 180°
Answer:
x = z
x + y = 180
Step-by-step explanation:
Multiply. Write the answer in simplest form.
1/2 x 3/5 x 4/9
Answer:
4/75
Step-by-step explanation:
The required simplified form of the expression 1/2 x 3/5 x 4/9 is 12/90.
Given that, to determine the simplified form of the expression 1/2 x 3/5 x 4/9.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 1/2 x 3/5 x 4/9
Simplifying,
= [1×3×4] / [2×5×9]
= [12]/[90]
= 12 / 90
Thus, the required simplified form of the expression 1/2 x 3/5 x 4/9 is 12/90.
Learn more about simplification here:
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#SPJ2
find each sum.
17+(-28)
12+(-9)
-2+7
-14+(-10)
Answer:
-11
3
5
-24
Step-by-step explanation:
Answer:
1.-11
2.3
3.5
4.-24
Step-by-step explanation:
Hope this helps! :)
What the tenth place in 50,445
Answer:
50, 445
Step-by-step explanation:
Find the value of x:
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. And there ya have it mate.
Mary paid $12.24 for a 6.35-kg bag of dog food. A few weeks later, she paid $13.99 for a 7.48-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg
The second bag is the better deal
Step-by-step explanation:
Divide the price by the weight to get the unit price per kg
The lowest number is the better buy
Answer: First bag's unit price=$1.92 per kg Second bag's unit price=$1.87 per kg
Step-by-step explanation:
look into the sky and how many stars do u see
Answer:
its day time rn
Step-by-step explanation:
step by step explanation
If (X-Y,X+Y )= (6,10 ) , find x and y!!
Answer:
Step-by-step explanation:
adding both,
x-y=6 ------------------(1)
x+y=10 -------------------------(2)
Cutting y, we get
2x=16
∴x=8
Eq. in (2)
y=10-8
=2
Pls mark me brainliest
6x +3 = 7x-3
Solve this eqation plss
Answer:
6
Step-by-step explanation:
Step 1:
6x + 3 = 7x - 3 Equation
Step 2:
3 = x - 3 Subtract 6x on both sides
Step 3:
x = 3 + 3 Add
Answer:
x = 6
Hope This Helps :)
If the length is 4 and the width is 6, what’s the height?
Answer:
The answer to this is: 24
Step-by-step explanation:
What is the relationship between the constant propprtionality of 50 and 0.02
Answer:
Inverse Proportionality
Step-by-step explanation:
Given
Constants 50 and 0.02
Required
Determine the relationship
Let y = 0.02
Convert 0.02 to fraction
y = 2/100
Simplify to lowest form
y = 1/50
Recall that y = 0.02
0.02 = 1/50
From the above expression, we can conclude that the relationship between both is inverse.
In other words, 50 and 0.02 are inversely proportional
¿Cuánto es $ 3.57 redondeado al dólar más cercano?
Kadyn rode his bicycle in a marathon for
176 miles. He took a rest stop every 22
miles. How many rest stops did Kadyn
take?
Answer:
8
Step-by-step explanation:
Is this correct, you don’t have to look at my work just check to see if it’s correct please and thank you
Answer:
[tex] y = 4x + 32 [/tex].
Step-by-step explanation:
Here's a solution to the problem.
Given:
Point = (-5, 12)
Slope (m) = 4
Required:
Equation of the line
SOLUTION:
Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].
We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.
Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.
[tex] 12 = 4(-5) + b [/tex]
[tex] 12 = -20 + b [/tex]
Add 20 to both sides
[tex] 12 + 20 = b [/tex]
[tex] 32 = b [/tex]
[tex] b = 32 [/tex]
Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].
[tex] y = 4x + 32 [/tex].
The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].
Obviously, your calculations are wrong. The above is the right way to solve the problem given.