Given a table with variables SELF-WORTH and FINANCIAL SATISFACTION and the corresponding responses: SELF-WORTH:
1. I take a positive attitude toward myself
2. I am a person of worth
3. I am able to do things as well as other people
4. As a whole, I am satisfied with myself FINANCIAL SATISFACTION. I am ….1. satisfied with savings level 2. satisfied with debt level 3. satisfied with current financial situation4. satisfied with the ability to meet long-term goals5. satisfied with preparedness to meet emergencies 6. satisfied with financial management skills For the SPSS, calculate the total score for both variables separately. Explore the data for each variable to determine the descriptive (including the skewness and kurtosis), outliers, and percentiles statistics. Display the total scores in the form of stem-and-leaf and histogram plots (check (✓) also the normality plots with test box to determine the normality of the total score). Mean is one of the measures of central tendency, which is calculated by summing up all the observations and dividing the sum by the total number of observations. The formula is given below: Mean = Σx / N Where Σx = Sum of all observations; N = Total number of observations For SELF-WORTH: The stem-and-leaf plot for the SELF-WORTH variable is given below:11 2 | 2233 | 30 4 | 04 5 | 5 6 77 | 7 7The histogram plot for SELF-WORTH variable: Descriptive Statistics are as follows: Descriptive Statistics | SELF-WORTH Mean | 3.60Standard Deviation | 0.729Variance | 0.531Skewness | 0.040Kurtosis | -1.403The Interquartile Range (IQR) is the distance between the 75th percentile (Q3) and the 25th percentile (Q1) of the data set. It is used to identify how data is spread out from the median value. The formula for IQR is given below: IQR = Q3 – Q1For SELF-WORTH:IQR = Q3 – Q1 = 4 – 3 = 1. The percentiles and extreme values are given in the following table: Percentiles | SELF-WORTH | FINANCIAL SATISFACTION25% | 3 | 130% | 4 | 160% | 4 | 175% | 4 | 190% | 4 | 1100% | 5 | 7
The above graph and statistical measures suggest that the SELF-WORTH variable is normally distributed because the skewness is close to zero and the kurtosis value is less than three. For FINANCIAL SATISFACTION: The stem-and-leaf plot for FINANCIAL SATISFACTION variable is given below:1 | 177 | 04 5 | 5 6 7 The histogram plot for FINANCIAL SATISFACTION variable: Descriptive Statistics are as follows: Descriptive Statistics | FINANCIAL SATISFACTION Mean | 3.50 Standard Deviation | 1.965Variance | 3.862Skewness | 0.000Kurtosis | -1.514 The Interquartile Range (IQR) is the distance between the 75th percentile (Q3) and the 25th percentile (Q1) of the data set. The formula for IQR is given below: IQR = Q3 – Q1For FINANCIAL SATISFACTION:IQR = Q3 – Q1 = 5 – 3 = 2The percentiles and extreme values are given in the following table: Percentiles | SELF-WORTH | FINANCIAL SATISFACTION25% | 1 | 150% | 2 | 275% | 4 | 390% | 4 | 5100% | 7 | 7The above graph and statistical measures suggest that the FINANCIAL SATISFACTION variable is not normally distributed because the skewness is equal to zero but the kurtosis value is less than three.
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for geometry:(
will give brainist
Answer:
Clearly show i can't see ur answer
Answer:
x = 60
Step-by-step explanation:
These angles are alternate exterior angles because they are on the opposite side of the transversal line and on the outside of a set of two non-transversal lines.
The alternate exterior angles theorem explains that if a pair of non-transversal lines are parallel, then the alternate exterior angles are congruent.
We can use the following equation to solve:
46 = 3x-14
Simplify.
60 = 3x
x= 60
Please help me I’m not good at math ❤️
0.78= 78%
13/20=0.65
7/25=28%
17/50=34%
Please check the attached picture, please answer thoroughly!
The selection depends on individual needs, preferences, and the intended use of the tiny house.
a) To find the amount of space inside each house, we need to calculate the volume for each design.
House on the left:
Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³
Triangular house:
Volume of a triangular prism = (base area x height) / 2
Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²
Volume = (20 m² x 7 m) / 2 = 70 m³
b) When comparing the environmental impacts of each house, several factors need to be considered:
Positive impacts:
1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.
2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.
3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.
Negative impacts:
1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.
2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.
3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.
c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:
The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.
The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.
Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.
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help would be greatly appreciated (also could u please show work) ty :)
Answer:
90°
Step-by-step explanation:
The total angle (KLM) is 110°. We know that angle ULM is 20°. So, 110-20=90, angle KLU = 90°. Hope this helps! :)
Find the unit rate. Round to the nearest hundredth, if necessary.
$5.99 for 15 lb
Answer:
5.99 round up to 6
15lbs ÷6 = 2.50 per pound
Answer:
2.50 dollars per every 1 lb
Step-by-step explanation:
I just divided 5.99 by 15 to get the amount per pound. I then rounded that number to the hundredth as it was necessary in this problem!
An SRS of 16 items is taken from Population 1 and yields an average = 253 and standard deviation s1 = 32. An SRS of 20 items is taken (independently of the first sample) from Population 2 and yields an average = 248 and a standard deviation s2 = 36. Assuming the two populations have the same variance σ2 and the pooled variance estimator of σ2 is used, the standard error of is:
The standard error of the difference between the means is 8.45.
The standard error is a measure of the variability of a sample statistic, such as the mean, compared to the population parameter it estimates.
In this case, we are interested in the standard error of the difference between the means of two independent samples, which is calculated using the pooled variance estimator assuming equal population variances. The formula for the standard error of the difference between two sample means is:
SE = √[ (s1^2/n1) + (s2^2/n2) ]
Where s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sample sizes, and SE is the standard error of the difference between the sample means. Substituting the given values, we get:
SE = √[ (32^2/16) + (36^2/20) ] = 8.45
This means that if we were to take repeated random samples from the same population using the same sample sizes, the standard deviation of the sampling distribution of the difference between the means would be approximately 8.45.
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The standard error of the pooled sample means is approximately 7.15.
The standard error of the pooled sample means is calculated using the formula:
Standard Error = √[(s1^2 / n1) + (s2^2 / n2)]
Where s1 and s2 are the standard deviations of the two samples, n1 and n2 are the sizes of the samples.
In this case, s1 = 32, s2 = 36, n1 = 16, and n2 = 20. Substituting these values into the formula, we have:
Standard Error = √[(32^2 / 16) + (36^2 / 20)]
Standard Error = √[1024 / 16 + 1296 / 20]
Standard Error = √[64 + 64.8]
Standard Error = √128.8
Standard Error ≈ 7.15
Therefore, the standard error of the pooled sample means is approximately 7.15. The standard error represents the variability or uncertainty in estimating the population means based on the sample means. A smaller standard error indicates a more precise estimation of the population means, while a larger standard error indicates more variability and less precise estimation.
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given the function f(x,y)=2x3+xy2+5x2+y2 use the determinant test to classify the critical point (0,0) .
To classify the critical point (0,0) using the determinant test, we need to compute the Hessian matrix. The Hessian matrix is a matrix of second partial derivatives of the function with respect to x and y. The Hessian matrix for f(x,y) is given by:
H = [[12x + 2y, 2x], [2x, 2y]]
Evaluating the Hessian matrix at (0,0), we get:
H(0,0) = [[0, 0], [0, 0]]
The determinant of the Hessian matrix is zero, which indicates that the test is inconclusive. In this case, we need to use another method to classify the critical point (0,0). One possible method is to examine the signs of the second partial derivatives of f(x,y) at (0,0).
The second partial derivatives of f(x,y) are:
f(x)x = 12x + 2y = 0
fxy = 2x = 0
fyy = 2y = 0
Since all the second partial derivatives of f(x,y) are zero at (0,0), we cannot determine the nature of the critical point using this method either. We would need to use additional methods, such as the Taylor series expansion or graphing, to classify the critical point.
The critical point (0,0) is a local minimum.
To classify the critical point (0,0) of the function \(f(x, y) = 2x^3 + xy^2 + 5x^2 + y^2\) using the determinant test, we need to compute the Hessian matrix and evaluate its determinant at the critical point.
The Hessian matrix of f(x, y) is given by:
\(H = | f_{xx} f_{xy} |\)
\(| f_{yx} f_{yy} |\)
Where f_xx represents the second partial derivative of f with respect to x, \(f_{xy}\) represents the mixed partial derivative of f with respect to x and y, \(f_{yx}\) represents the mixed partial derivative of f with respect to y and x, and \(f_{yy}\) represents the second partial derivative of f with respect to y.
Taking the partial derivatives of f(x, y), we have:
\(f_x = 6x^2 + y^2 + 10x\\f_y = 2xy + 2y\)
Calculating the second partial derivatives:
\(f_{xx} = 12x + 10\\f_{xy} = 2y\\f_{yx} = 2y\\f_{yy} = 2x + 2\)
Now, evaluating the Hessian matrix at the critical point (0,0):
\(H(0,0) = | f_{xx}(0,0) f_{xy}(0,0) |\)
\(| f_{yx}(0,0) f_{yy}(0,0) |\)
H(0,0) = | 10 0 |
| 0 2 |
The determinant of the Hessian matrix at (0,0) is:
Det[H(0,0)] = det | 10 0 |
| 0 2 |
Det[H(0,0)] = (10)(2) - (0)(0) = 20
Therefore, the determinant (Det[H(0,0)]) is positive (20 > 0), we can conclude that the critical point (0,0) is a local minimum.
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begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
5. A map's key shows that every of 5 inches on the
map represents 200 miles of actual distance.
Suppose the distance between two cities on
the map is 7 inches. What is the actual distance
between the two cities? Write the rule you used
to find the actual distance.
The actual distance between the two cities is 280 miles.
A map's key shows that every of 5 inches on the map represents 200 miles of actual distance. Suppose the distance between two cities on the map is 7 inches. What is the actual distance between the two cities? Write the rule you used to find the actual distance.
The rule used to find the actual distance between the two cities is multiplying the scale factor by the distance on the map.
The scale factor is given as 200 miles for every 5 inches, which means that for every 1 inch on the map, the actual distance is 40 miles. Hence, the actual distance for 7 inches on the map is calculated as follows:
Actual distance = Scale factor × Distance on the map Scale factor = 200 miles / 5 inches = 40 miles per inch distance on the map = 7 inches Actual distance = 40 miles per inch × 7 inches Actual distance = 280 miles
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How many cubic feet is the volume of a room with dimensions
10% ft x 102ft x 8ft?
Answer:
882 cubic ft.
Step-by-step explanation:
10.5 x 10.5 = 110.25
110.25 x 8 = 882 ft
Answer:
the volume of a room = 882 ft³
Step-by-step explanation:
given;
dimensions of a room 10 1/2 ft. x 10 1/2 ft. x 8 ft.
find:
volume
volume = L x W x H
let L = 10 1/2 ft.
W = 10 1/2 ft.
H = 8 ft.
plugin values into the formula:
V = 10.5 x 10.5 x 8
V = 882 ft³
therefore,
the volume of a room = 882 ft³
At one school, the average amount of time that spend watching television each week is The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased from the previous mean of
Answer:
21.6 hours
Step-by-step explanation:
Hypothesis testing allows to identify a event test. The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The principal tests the hypothesis with a mean of 21.6 hours for the determination of average amount of time spent watching television.
can someone please help
instructions: y - intercept from each equation. make sure that equation is antelope intercept form!! you may leave any fractions as simplified and proper fractions.
Answer:
Slope: -5
Y-intercept: 20 or (0, 20)
Step-by-step explanation:
-5y = 25x - 100
y = -5x + 20
y= mx + b
m = slope
b = y intercept
Write in slope-intercept form.
write an equation in slope-intercept form of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)
Answer: y=5x-11
Step-by-step explanation:
y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given equation of line is y= -1/5x + 1/4
The slope of the perpendicular line is 5.
We need to find line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4)
4=5(3)+b
-11=b
Hence, y=5x-11 is the equation of the line perpendicular to y= -1/5x + 1/4 that passes through the point (3,4).
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M/6;m=18 please will rate 5 stars and right answers will be brainilest
Answer:
3
Step-by-step explanation:
m= 18
m/6 --> 18/6 = 3
Mrs. Collado is buying a refrigerator that sells for $590. After a 10% discount is taken, 6% sales tax is added to the price. A $50 delivery charge is added on after the tax is computed. What will be the final cost of the refrigerator?
Answer:
I think the final cost would be:
562.86
Step-by-step explanation:
:))
is 9/9 a whole number? because when simplified it equls 1 and 1 is a whole number, but since its in fractiom form does that count?
Answer:
Even though it's in fraction form it's still a whole number.
Step-by-step explanation:
Here's an example to make this easier-
If you cut an orange into 8 slices and count all the parts it's 8/8, but you still have 1 whole orange. I hope this makes sense! have a great day! ^^
After w weeks, a student has saved 25 + 8w dollars. How much money has the student saved after 15 weeks?
Answer:
145
Step-by-step explanation:
plugin 15 for w then solve it
Someone plz help me I’m on my last question for delta math. I added a screenshot below
Answer:
f(x) = -2x – 7 ; if x < -5
-(x + 2)² + 6 ; if -5 ≤ x < 0
√(x) – 1 ; if x ≥ 0
Um guys… this is very weird why isn’t 2/99 a 20 digit that repeats and what’s the new number? It’s counted it wrong :(
Ashanti has been acting for a years, and Diana has been acting for d years.
If Ashanti has been acting for 1.5 times as long as Diana has, which is also
4 years longer than Diana has been acting, which of the following systems
of equations correctly models this situation?
Therefore, the correct system of equations that models this situation is:
a = 1.5d
a = d + 4
What do you mean by the equation?An equation is a mathematical statement that shows that two expressions are equal. It typically contains variables, numbers, and mathematical symbols such as + (addition), - (subtraction), * (multiplication), / (division), and = (equal). Equations are used to solve problems and find unknown values of variables by manipulating the expressions on both sides of the equation. For example, the equation "x + 5 = 9" shows that the sum of x and 5 is equal to 9. By subtracting 5 from both sides of the equation, we can solve for x and find that x = 4.
by the question.
Let's start by setting up two equations, one for each piece of information given in the problem:
1.5d = a (Ashanti has been acting for 1.5 times as long as Diana has)
a = d + 4 (Ashanti has been acting for 4 years longer than Diana has)
We can then simplify the second equation by substituting the first equation for a:
1.5d = d + 4
Now we can solve for d:
0.5d = 4
d = 8
We can then use the first equation to solve for a:
a = 1.5d = 1.5(8) = 12
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Please help me
I give points and have a a explication
Answer:on all of them?
Step-by-step explanation:
let x and y be two continuous random variables, with the same joint probability density function as in exercise 9.10. find the probability p(x < y) that x is smaller than y.
The probability that x is smaller than y is 1.
In Exercise 9.10, we are given the joint probability density function of two continuous random variables as:
f(x,y) = 2, for 0 ≤ x ≤ y ≤ 1
f(x,y) = 0, otherwise
To find the probability that x is smaller than y, we need to integrate the joint probability density function over the region where x is less than y:
p(x < y) = ∫∫R f(x,y) dA
where R is the region where x is less than y, which is the triangular region with vertices at (0,0), (1,0), and (1,1).
Therefore, the probability can be computed as:
p(x < y) = ∫∫R f(x,y) dA
= ∫0^1 ∫x^1 2 dy dx (using the limits of integration for R)
= ∫0^1 (2-2x) dx
= 2x - x^2 |0^1
= 1 - 0 - (2(0) - 0^2)
= 1
Hence, the probability that x is smaller than y is 1.
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Let f be a function such that StartFraction x squared minus x Superscript 4 Baseline Over x squared EndFraction ≤ f(x) ≤ One-fourth x cubed for all –2 ≤ x ≤ 2. What is Limit of f (x) as x approaches 0?
The limit is 0.
The limit is 1.
The limit does not exist.
The limit cannot be found because f(x) is unknown.
commercial photographer
portrait photographer
nature photographer
education photographer
Answer:
limit = 1
Step-by-step explanation:
A work breakdown structure (wbs) shows tasks, dates, and dependencies. true false
A work breakdown structure (wbs) shows tasks, dates, and dependencies. The given statement is false.
In project management and systems engineering, a work-breakdown structure is a deliverable-focused division of a project into more manageable parts. A essential project deliverable that divides the team's work into digestible chunks is a work breakdown structure.
A project's tasks are organized hierarchically in a work breakdown structure (WBS). The WBS "breaks down" a project's structure into doable deliverables. A project's tasks are organized hierarchically in a work breakdown structure (WBS).
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Sylvie needs $110.75 for a concert ticket. She already has $16 and she can earn the rest by working 10.5 hours at her job. Write an equation that can be solved to find h, Sylvie′s hourly earnings.
Answer:
110.75 = 16 + 10.5h
Step-by-step explanation:
the Bears won 40 games and lost 24 while the Bulls won 32 games and lost eighteen which team has the higher wins?
Answer:
It looks like the Bears have the higher wins, as they won 40 games while the Bulls won only 32 games.
You work in the admissions department for a college and are asked to recommend the minimum SAT scores that the college will accept for a position as a full-time student. Here are the SAT scores for a sample of 50 applicants.
1760 1502 1375 1310 1601 1942
1380 2211 1622 1771 1150 1351
1682 1618 2051 1742 1463 1395
1860 1918 1882 1996 1525 1510
2120 1700 1818 1869 1440 1235
976 1513 1790 2250 2102 1905
1979 1588 1420 1730 2175 1930
1965 1658 2005. 2125 1260 1560
1635 1620
(a) Construct a relative frequency histogram for the data using 10 classes.
(b) If you set the minimum score at 1616, what percent of the applicants will meet this requirement? Explain your reasoning.
(c) If you want to accept the top 88% of the applicants, what should the minimum score be? Explain your reasoning.
Answer:
Step-by-step explanation:
Answer:
m
Step-by-step explanation:
10. Given that∢DAB and∢DCB are right angles and m∢ABD = 42°, what is the measure of ACB? (show work)
If ∡DAB and ∡DCB are right angles and m∡ABD = 42°, then the measure of arc ACB is 264°.
What is an arc?
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve's arc is a component.
The angles ∡DAB and ∡DCB are right angles.
The measure of ∡ABD = 42°
It can be seen that ∠ABD is inscribed angle of arc AD, so the measure of arc AD is two times the measure of ∠ABD.
AD = 42° × 2 = 84°
It can also be seen that segment DB is diameter of given circle as inscribed angle of diameter is a right angle.
Since segment DB is diameter of given circle, so measure of arc DCB would be equal to half the measure of 360 degrees.
DAB = 360°/2
DAB = 180°
ACB = AD + DCB
ACB = 84° + 180°
ACB = 264°
Therefore, the measure of arc ACB is 264°.
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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.
y=-x^2+90x-454
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.