Answer:
The answer would be $184,274.23.
Step-by-step explanation:
After a 4% annual decrease in value over five years, a house that was bought for $226,000 would be worth around $183,896.7.
Explanation:The student's question pertains to a situation where a house's value depreciates, in this case, at a rate of 4% per year for five years. To find out how much the house would be worth now, we need to employ the formula for depreciations, that is P = P0 (1 - r)^n, where P is the final value, P0 the initial value, r the rate of decrease and n the number of periods the decrease has occurred over.
In this case, P0 would be the initial value of the house $226,000, r would be 4% (or 0.04 as a decimal), and n would be the number of years, which is 5. Substituting these values into the formula gives us and calculated we get P = $226,000 * (1 - 0.04)^5 = $183,896.7.
So after a 4% annual decrease in value over five years, the house that was bought for $226,000 would now be worth around $183,896.7.
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Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
a. Write and solve an equation to find the number of hours Sylvia worked to earn $91.
b. The greatest number of hours Sylvia can work in any week is 15. Write an inequality to represent this statement.
c. What is the greatest amount of money Sylvia can earn in one week?
please help
Answer:
a.) [tex]hours=13[/tex]
b.) [tex]h\leq 15[/tex]
c.) $[tex]$105[/tex]
Step-by-step explanation:
a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let h be the unknown number of hours:
[tex]7h=91[/tex]
Solve for h. Divide both sides by 7:
[tex]\frac{7h}{7}=\frac{91}{7}\\\\h=13[/tex]
Sylvia worked 13 hours at a rate of $7 an hour.
b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let h be hours:
[tex]h\leq 15[/tex]
Sylvia can work less than or equal to 15 hours per week.
c.) If Sylvia can work 15 hours, plug in this value for h into an equation when she earns $7 per hour. Let the product of the hours and money equal t for total:
[tex]t=7(15)\\t=105[/tex]
The most money Sylvia can earn in a week is $105.
Finito.
In addition to the congruent supplements theorem and cpctc, what else is needed to justify the conclusion that ∠ptq ≅ ∠rtq by sas? given: ∆pst ≅ ∆rst the reflexive property of congruence the vertical angles theorem aas theorem sss postulate description
To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS, the congruent supplements theorem and CPCTC are needed.
Explanation:To justify the conclusion that ∠PTQ ≅ ∠RTQ by SAS (Side-Angle-Side) in the given triangles PST and RST, we need to use the following:
The congruent supplements theorem, which states that if two angles are supplements of congruent angles (in this case, the angles ∠PTS and ∠RTS) then the two angles are congruent.The CPCTC (Corresponding Parts of Congruent Triangles are Congruent) theorem, which states that if two triangles are congruent, then their corresponding parts (in this case, the angles ∠PTQ and ∠RTQ) are congruent.Therefore, by using the congruent supplements theorem and the CPCTC theorem, we can conclude that ∠PTQ and ∠RTQ are congruent.
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AKS 18/19 A travel agent is arranging a private cruise. The agent can arrange for, at most, 40 people to go on the trip. The trip cannot be finalized unless there are at least 12 men and 15 women committed to the cruise. The agent will make $26 profit per man and $14 profit per woman. What are the constraints for this situation?
Answer:
M + W <= 40
M >= 12
M >= 15
Total profit = $26 * M + $14 * W
Step-by-step explanation:
Let the number of men be denoted by M
number of women be denoted by W
Maximum no of people that can go one trip = 40
Therefore representing it mathematically we have
M + W <= 40 -------------- CONSTRAINT 1
Minimum number of men needed on trip = 12
Therefore representing it mathematically we have
M >= 12 CONSTRAINT 2
Minimum number of women needed on trip = 15
Therefore representing it mathematically we have
M >= 15 CONSTRAINT 3
profit on 1 man = $26
profit on M men = $26 * M
profit on 1 woman = $14
profit on M men = $14 * W
Total profit combining for men and women =
$26 * M + $14 * W -------------CONSTRAINT 4
___________________________________________
writing together all the constraint
M + W <= 40
M >= 12
M >= 15
Total profit = $26 * M + $14 * W
A wheel whose diameter is 3 feet rolls a distance of 45 feet without slipping. Through what radian angle did the wheel rotate? 1) 30 2) 25 3 30 pi 4) 12 pi
Answer:
1) 30
Step-by-step explanation:
We need the radius of the wheel, we know that the radius is half the diameter, therefore:
r = d / 2 = 3/2 = 1.5
the angle is equal to the distance traveled (s) divided by the radius, thus:
° A = s / r =
° A = 45 / 1.5
° A = 30 radians
Through the radiation angle of 30 radians the wheel turned
therefore the answer is 1) 30
The radian angle at which the wheel rotated is; 1: 30
What is the angle of rotation?
We are given;
Diameter of wheel; d = 3 ft
Radius; r = d/2 = 3/2 = 1.5 ft
Now, the formula for the radian angle at which the wheel rotated is;
θ = s/r =
where;
s is distance
r is radius
Thus;
θ = 45/1.5
θ = 30 radians
Thus the angle at which the wheel rotated is 30 radians
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I need help with this ASAP please!!! Also, please EXPLAIN how to do it instead of just saying the answer. Thanks!
can someone help me with this
Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
_____
Comment on the triangle
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
olve these story problems.
Mr. Wilcox drove 459 miles at the aver-
age speed of 51 miles per hour. How
many hours did it take him to reach his
destination?
Step-by-step explanation:
Simple
Speed of 1 hour = 51 miles
Total miles = 459
459 ÷ 51 = 9
It will take 9 hours for him to reach his destination
whole numbers greater than 15 but less than 16
Answer:
There are no whole numbers greater than 15 but less than 16... I am pretty sure it cant be 15 1/2 or something like that...
Step-by-step explanation:
Enter values for x and y in the table to plot points in the graph. Please help
Answer:
Step-by-step explanation:
To plot points on a graph, assign x-values to the x-coordinate and calculate the corresponding y-values using the equation y = x² + 2. Connect the points to graphically represent the dependence of y on x.
Explanation:The given table contains the following points: (1,5), (2,10), (3,7), and (4,14). These points represent the values of x and y in the equation y = x² + 2. To plot these points on a graph, you can assign x-values to the x-coordinate and calculate the corresponding y-values using the equation. For example, when x=1, y = 1² + 2 = 3, so the point (1,3) can be plotted on the graph. By connecting all the points, you can graphically represent the dependence of y on x.
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can someone help me with this question please
Answer:
C. the vertical scale does not start at zero.
Step-by-step explanation:
The bars should be longer than they are drawn because the scale does not start at zero. As it is visual comparisons of the different months is misleading.
For example, it looks like the sales for February are about twice the March sales but that is not true.
Maria has 14 pencils, Ted has 9 pencils, Tom has 12, pencils, Lucinda has 13 pencils, so that they all have the same amount? How many pencils should each person have?
Answer:
"If they add all of the pencils together and then divided by how many of them there, which is 60/5, we can that there will be 12 pencils given to each person."
"Sample Response: Maria should give away 2 pencils. Ted should get 3 pencils. Lucinda should give away 1 pencil. Everyone should have 12 pencils. "
Check all that you included in your response.
Maria should give away 2 pencils.
Ted should get 3 pencils.
Lucinda should give away 1 pencil.
Everyone should have 12 pencils.
Step-by-step explanation:
Which transformations are needed to change the parent cosine function to the cosine function below?
vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up
vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down
vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down
vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Question:
1. vertical stretch of 2, horizontal stretch to a period of 2 pi, phase shift of StartFraction pi Over 2 EndFraction units to the right, vertical shift of 1 unit up
2. vertical compression of 2, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the left, vertical shift of 2 units down
3. vertical compression of 2, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 3 EndFraction units to the left, vertical shift of 1 unit down
4. vertical stretch of 2, horizontal compression to a period of StartFraction pi Over 2 EndFraction, phase shift of Pi units to the right, vertical shift of 1 unit down
Answer:
The correct option is;
4. Vertical stretch of 2, horizontal compression to a period of π/2, phase shift of π units to the right, vertical shift of 1 unit down
Step-by-step explanation:
Here, we have the parent cosine function given by y = cos(x)
A plot of the above function is attached
By comparison, it is observed that the transformation required to change the parent function includes;
1. Vertical stretch from the parent function of amplitude 1 to amplitude 2
2. A horizontal compression so that the period of one complete revolution is π/2 rather than 2·π in the parent cosine function
3. Phase shift of pi units to the right such that cos(π) = 1 rather than cos(2π) = 1 as it applies to the parent function
4. Shift of the y values from the symmetrical x-axis origin downwards by 1 unit such that the maximum y value of the doubly stretched transformation is 1 rather than 2
Which relation is NOT a function?
Help ASAP
Answer:b
b
Step-by-step explanation:
tell me if you got it right.
A three-dimensional model of Lucia’s apartment is shown. To cool the whole apartment, an air conditioner must provide 2.5 BTUs per cubic foot. How many BTUs are needed to cool Lucia’s apartment? 19,600 BTUs 19,800 BTUs 20,400 BTUs 24,000 BTUs
Answer: c
Step-by-step explanation:
20,400
120 inch board is cut into two pieces one piece is two times the length of the other find the length of the shorter piece
Answer: 30(short piece) 90(long piece)
Step-by-step explanation:
!! Algebra 2, please help
Plot the zeros of the polynomial y = x4 + 3x3 − 27x2 + 13x + 42.
If you help me get this right i will give you brainly, and 5 stars!
Answer:
all 3 statements are true
Step-by-step explanation:
domain is the x value or the first number in the parentheses
range is the y value or the second number in the parentheses
Answer:
1. True.
2. True.
3. True.
Step-by-step explanation:
The domain contains X coordinates, and the range contains Y coordinates. From the given list of coordinates, the domain contains numbers 2, 3, 5, and 6.
The range contains numbers 1, 4, 5, and 7, making questions 1 and 2 true.
Both the domain and range contain the number 5, so question 3 is also true.
A small university enrolls in-state and out-of-state students. Enrolled in their most recent freshman class was 243. The school reported that it enrolled seven in-state students for every two out-of-state students. How many of each type of student was enrolled in the freshman class?
There were 189 in-state students and 54 out of state students.
Total number of students = 243
Number of In-state students will be:
= 7/(7+2) × 243
= 7/9 × 243
= 189
Number of Out of states students will be:
= 2/(7+2) × 243
= 2/9 × 243
= 54
Therefore, there were 189 in-state students and 54 out of state students.
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Mrs. Brown gives two tests to her class. 30% of the class passed both tests and 45% of the class passed the first test. What percent passed the second test given that they passed the first test?
66.67% of the students who passed the first test also passed the second test.
To find the percent of students who passed the second test given that they passed the first test, we need to calculate a conditional probability. Let's define the events:
A: Passing the first testB: Passing the second testWe are given:
Probability of both events happening (passing both tests), P(A ∩ B) = 30% or 0.30Probability of passing the first test, P(A) = 45% or 0.45The conditional probability P(B|A) can be calculated using the formula:
P(B|A) = P(A ∩ B) / P(A)
Substitute the given values into the formula:
P(B|A) = 0.30 / 0.45
When we divide 0.30 by 0.45, we get 0.6667 or approximately 66.67%.
Therefore, 66.67% of the students who passed the first test also passed the second test.
The Smiths spend 7% of their budget on entertainment. Their total budget this year is $1,000 more than
last year, and this year they plan to spend $3,150 on entertainment. What was their total budget last year?
Their total budget last year was
Answer:
Their total budget last year = $44,000
Step-by-step explanation:
Let last year's budget be x
let total budget this year be y
we are given the following information
y = 1000 + x - - - (1) (Their total budget this year is $1,000 more than last year)
7% of y = $3,150
7/100 × y = 3,150
0.07y = 3,150
y = 3,150 ÷ 0.07 = $45,000
Therefore, budget this year = $45,000
from equation 1
y = 1000 + x - - - (1)
∴ x = y - 1000
x = 45,000 - 1000 = $44,000
Therefore their total budget last year = $44,000
Final answer:
To find the Smiths' total budget last year, divide the amount they plan to spend on entertainment this year ($3,150) by 7% to calculate this year's budget ($45,000), then subtract the $1,000 increase from last year to reach the total budget for last year ($44,000).
Explanation:
To determine the Smiths' total budget last year, we need to work backwards from the amount they plan to spend on entertainment this year, which is $3,150. Given that entertainment costs represent 7% of their total budget, we can calculate their total budget for this year by dividing the entertainment expenditure by 7% (or 0.07). Once we have their budget for this year, we can subtract the $1,000 increase to find their budget for last year.
Let's calculate the total budget for this year:
Total budget this year = $3,150 / 0.07 = $45,000
Now, to find last year's budget, we subtract the $1,000 increase:
Total budget last year = $45,000 - $1,000 = $44,000
Therefore, the Smiths' total budget last year was $44,000.
A cube has an edge length of 2/3 inch . What is the volume of the cube ?
Answer:
The volume would be eight inches. I hope this helps.
Brainliest welcome
Step-by-step explanation:
Final answer:
The volume of a cube with an edge length of 2/3 inch is found by cubing the edge length, which results in a volume of 8/27 cubic inches.
Explanation:
To find the volume of a cube with an edge length of 2/3 inch, we use the formula for the volume of a cube, which is the edge length cubed (V = [tex]s^3[/tex]). Thus, the volume V is:
V = (2/3 inch) * (2/3 inch) * (2/3 inch)V = ([tex]2^3[/tex])/([tex]3^3[/tex]) cubic inchesV = 8/27 cubic inchesTherefore, the volume of the cube is 8/27 cubic inches.
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value. At this rate, what can Dan expect the approximate value of the computer to be after 7 years?
Answer:
$120.14
Step-by-step explanation:
This question is an example of a compound percentage decrease.
To work this out you would first need to convert the percentage of 25 into a decimal. You can do this by dividing the percentage of 25 by 100, this gives you 0.25. This is because percentages are out of 100.
The next step is to minus 0.25 from 1, this gives you 0.75. This is because we are working out the percentage decrease.
The final step is to multiply the amount of 900 by 0.75 to the power of 7, this gives you $120.14.
1) Divide 25 by 100.
[tex]25/100=0.25[/tex]
2) Minus 0.25 from 1.
[tex]1-025=0.75[/tex]
3) Multiply 900 by 0.75 to the power of 7.
[tex]900*0.75^7=120.14[/tex]
Answer:
If you’re looking for the vale after 8 years, I got $90 but I’m not sure if I’m right .
Step-by-step explanation:
A sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to double? Round your answer up to the nearest whole number and do not include units
Answer:
The sample would double in 9 hours
Step-by-step explanation
The number of hours it will take for the sample to double can be found using the 72 rule.
The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:
number of hours =72/8=9 hours
The number of hours it would take the sample to double is 9 hours as computed above.
78 is what percent of 450
Answer:
17.33
Step-by-step explanation:
plug 78/450 into your calculator
78 is 17.33% of percent of 450.
78 is what percent of 450?A percentage is defined as the ratio that can be expressed as a fraction of 100.
To calculate what percent of 450 is 78, we can use the following formula:
percent = (part / whole) * 100
In this case, the part is 78 and the whole is 450. Thus, we have:
percent = (78 / 450) * 100
percent = 17.33%
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Ulissa is making a birthday card and wants to put a border made of pink ribbon all the way around the front of the card. The card is a rectangle 7 inches long and 4 inches wide. How long will the pink border be?
Answer:
22 inches
Step-by-step explanation:
7 + 7 = 14
4 + 4 = 8
14 + 8 = 22
Kayla’s work to find the surface area of a composite solid formed when a rectangular prism and rectangular pyramid are joined at their bases is shown below. SA = 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) = 255.7 square units What statement best describes Kayla’s error? She used the wrong expression for the lateral faces of the solid. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)). She left out one of faces of the solid. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6). She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6). She included the face where the pyramid and prism are joined together. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) minus 2((5) (6)). SA = 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) = 255.7 square units
What statement best describes Kayla’s error?
She used the wrong expression for the lateral faces of the solid. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)).
She left out one of faces of the solid. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6).
She used the wrong expression for the lateral faces of the solid and left out the base of the figure. She should have simplified 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) + (5) (6).
She included the face where the pyramid and prism are joined together. She should have simplified 2 ((5) (7)) + 2 ((6) (7)) + 2 (one-half (5) (9.3)) + 2 (one-half (6) (9.2)) minus 2((5) (6))
Answer:
Option B
Step-by-step explanation:
The reason is because the surface area is not including the base of the pyramid and the top of the prism.
Option b. she left out one of the faces of the solid she should have simplified 2((5)(7))+2((6)(7))+2[1/2(5)(9.3)]+2[1/2(6)(9.2)]+(5)(6)
Step-by-step explanation:
we know that
The surface area of the composite figure is equal to the surface area of the pyramid not including the base plus the surface area of the prism not including the top
so
SA= 285.7 units squared
Answer:
B
Step-by-step explanation:
which statement is true about the potential solutions to log3(2x^4 +8x^3) -3log3x =2log3x please help!
Answer:B
Step-by-step explanation:
Answer:
b. Only x = –2 is an extraneous solution.
Step-by-step explanation:
edge 2021
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Tyler borrowed $2,000 at an 11.5% simple interest rate. What is the total amount Tyler will pay back at the end of 5 years?
Answer: $3,150.00
Step-by-step explanation:
[tex]Formula: A=P(1+rt)[/tex]
Where;
A = amount
P = principal ($2,000)
r = rate (11.5% or 0.115)
t = time (5 years)
Plug this into the formula
[tex]A=(2000)(1+(0.115)(5))\\A=(2000)(1+0.575)\\A=(2000)(1.575)\\A=3150[/tex]
If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?
[tex]\sin \theta = \dfrac 2 3[/tex]
[tex]\tan \theta < 0[/tex]
Positive sine, negative tangent, means we have a negative cosine. We're talking about the second quadrant.
[tex]\cos^2 \theta + \sin ^2 \theta = 1[/tex]
[tex]\cos^2 \theta = 1 - \sin ^2\theta[/tex]
[tex]\cos \theta = \pm \sqrt{1 - \sin ^2\theta}[/tex]
We know it's negative,
[tex]\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}[/tex]
Answer: -(1/3)√5
The scores on a mathematics college-entry exam are normally distributed with a mean of 68 and standard deviation 7.2. Students scoring higher than one standard deviation above the mean will not be enrolled in the mathematics tutoring program. How many of the 750 incoming students can be expected to be enrolled in the tutoring program?
631 is the answer-I’m taking this castle learning rn
Using the normal distribution, it is found that 631 of the 750 incoming students can be expected to be enrolled in the tutoring program.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The proportion of students who score one standard deviation below the mean is the p-value of Z = 1, hence it is of 0.8413.
Hence, out of 750 students, the number is given by:
0.8413 x 750 = 631 students can be expected to be enrolled in the tutoring program.
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