The seller will owe the buyer an amount of $2,933.40.
How much will the seller owe the buyer?To be able to compute the owed amount, first, we have to compute the daily rate per day which is shown below:
= Rent received / number of days in a month
= $4,400 / 30 days
= 146.67 per day
Data:
Number of days in a month = 30 days
Landlord received a rent on December 10
The remaining days would be = 30 days - 10 days = 20 days
Now, the owed amount would be calculated as:
= Remaining days × per day rate
= 20 days × 146.67
= $2,933.40
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2. A set of 120 test scores are normally distributed
with a mean of 82 and a standard deviation of
5.
- The price of a gallon of regular gasoline at 75
a) What percent of the scores are between 72
and 872
b) What is the probability that a score is greater
than 77?
c) What is the probability that a score is less than
82 or greater than 92?
d) About how many students scored outside two
standard deviations of the mean?
a) What percent of gas stations sell a gallon of
It should be noted that 81.85% of the scores are between 72 and 87.
The probability that a score is greater than 77 is approximately 0.8413.
How to calculate the valuea) The z-score for 72 is calculated as:
z = (72 - 82) / 5 = -2
The z-score for 87 is calculated as:
z = (87 - 82) / 5 = 1
0.8413 - 0.0228 = 0.8185
So, approximately 81.85% of the scores are between 72 and 87.
b) The z-score for 77 is calculated as:
z = (77 - 82) / 5 = -1
1 - 0.1587 = 0.8413
Therefore, the probability that a score is greater than 77 is approximately 0.8413 (or 84.13%).
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can someone solve and graph it
f(x)=|x+1|+2
Answer:
d y x+1
----- = (l x+1 l + 2) x -----------------------
d x (l x+1 l + 2) x lx+1l
Hannah conducted a scientific experiment. For a certain time, the temperature of a compound rose 3 1/2 degrees every 2/3 of an hour. What was the rate, in degrees per hour, that the temperature of the compound rose? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
The rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.
To find the rate at which the temperature of the compound rose, we need to divide the change in temperature by the time interval during which the change occurred.
The temperature rose 3¹/₂ degrees every 2/3 of an hour. To write this as a fraction, we can first convert 3¹/₂ to an improper fraction:
3¹/₂= 7/2
Now, we can write the rate of change as a fraction:
Rate of change = (7/2) / (2/3)
To divide by a fraction, we can multiply by its reciprocal:
Rate of change = (7/2) x (3/2)
Simplifying, we get:
Rate of change = 21/4
Therefore, the rate at which the temperature of the compound rose was 5¹/₄ degrees per hour.
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Use the equation to find the number of correct answers Gilberto needs to buy a new shirt that costs 25$. Show your work
a) An equation that represents the amount of money that Gilberto
receives during a school year: y = 5 + (0.5) x
b) The number of correct answers Gilberto needs to buy a new shirt that costs $25 = 40
Let us assume that y represents the amount of money and x represents the number of correct answers.
We know that One dollar = 100 cents.
so, 50¢ = 0.5 dollars
From the described informtaion, we can write the equation that represents the amount of money that Gilberto receives during a school year as: y = 5 + (0.5) x
Now we need to find the number of correct answers Gilberto needs to buy a new shirt that costs $25
i.e., for y = 25, we need to find the value of x.
Substitute y = 25 in above equation.
25 = 5 + (0.5) x
We solve this equation for x
(0.5) x = 20
x = 20 / (0.5)
x = 40
This means that he needs to give 40 correct answers.
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The complete question is:
Gilberto's grandfather gives Gilberto $5 and then 50¢ for each math question he answers correctly on his math exams for the year.
a. Write an equation that represents the amount of money that Gilberto
receives during a school year. Explain what the variables and numbers mean.
b. Use the equation to find the number of correct answers Gilberto needs to buy a new shirt that costs $25. Show your work.
Need help fast I will rate
The formula for p(x) is p(x) = -0.1(x - 5)²(x + 3).
What is a polynomial graph?In Mathematics and Geometry, the graph of a polynomial function touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.
Also, the graph has a zero of multiplicity 2 at x = 5 and zero of multiplicity 1 at x = -3;
x = 5 ⇒ x - 5 = 0.
(x - 5)²
x = -3 ⇒ x + 3 = 0.
(x + 3)
In this context, an equation that represent the polynomial function is given by:
p(x) = a(x - 5)²(x + 3)
By evaluating and solving for the leading coefficient "a" in this polynomial function based on the y-intercept (0, -7.5), we have;
-7.5 = a(0 - 5)²(0 + 3)
-7.5 = a75
a = -7.5/75
a = -0.1.
Therefore, the required polynomial function is given by:
p(x) = -0.1(x - 5)²(x + 3)
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Solve the following for θ, in radians, where 0≤θ<2π.
5cos2(θ)−8cos(θ)+2=0
Select all that apply:
2.85
5.03
1.26
1.37
1.86
0.61
Answer:5.03
1.26 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
5u^2 - 8u + 2 = 0
We can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 5, b = -8, and c = 2. Substituting these values, we get:
u = (8 ± sqrt(64 - 40)) / 10
u = (8 ± 2sqrt(6)) / 10
Therefore, either:
What is the distance of X?
11/16"
3/4"
7/8"
23/32"
Answer:
C) 23/32
Step-by-step explanation:
count how many lines there are in all
32
Then count from beginning to X
23
The distance of X is 23/32
Express the following ratios in the form 1: n (a) 6:15 (b) 20:1160 (c) 30: 1500
Answer:
Step-by-step explanation:
(a)
16
36
=
4
9
36:16=9:4
(b)
144
324
=
4
9
324:144=9:4
(c)
1125
125
=
1125
125
=
45
5
=
9
1
∴125:1125=1:9
The volume of a rectangular prism is (x4 + 4x³ + 3x² + 8x + 4), and the area of its base is (x3 + 3x² + 8). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism? O X+1- Gere O X+1+ O X+1- 4 x4+4x³+3x²+8x+4 O X+1+ 4 X*+4x²+3x+8x+4 4 +³+3x²+8 4 +³+3x²+8
The Height of the given rectangular prism is: (x + 1) - 4/(x³ + 3x² + 8)
How to carry out polynomial division?In algebra, polynomial long division is defined as an algorithm used in dividing a polynomial by another particular polynomial of the same or even lower degree, which is a generalized version of the common arithmetic technique called long division. It can be done easily by hand, because it separates a supposedly complex division problem into smaller ones.
We are given:
Volume of a rectangular prism = (x⁴ + 4x³ + 3x² + 8x + 4), and the area of its base is (x³ + 3x² + 8)
Thus, height is:
x + 1
x³ + 3x² + 8|x⁴ + 4x³ + 3x² + 8x + 4
- x⁴ + 3x³ + 0 + 8x
x³ + 3x² + 4
- x³ + 3x² + 8
-4
Thus:
Height = (x + 1) - 4/(x³ + 3x² + 8)
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A school is constructing a rectangular play area against an exterior wall of the school building. It uses 120 feet of fencing material to enclose three sides of the play area.
Write an equation to represent l, the length of the play area in feet, as a function of w, the width in feet.
An equation to represent A, the area in square feet, as a function of w, the width in feet is A = 120W -2W²
Here, we have,
According to the question, the school uses 120 feet of fencing material to enclose three sides of the play area. This means there are 3 sides.
Substitute into the perimeter of the rectangle will give:
120 = L + 2W
Area = LW
We know that the area of a rectangle is l × w
When w =10, length = 120 - 20 = 100, area = 100 x 10 = 1000
When w = 20, length = 120 - 40 = 80, area = 80 x 20 = 1600
When w = 40, length = 120 - 80 = 40. area = 40 x 40 = 1600.
So, the completed table will be
Width Length Area
10 100 1000
20 80 1600
40 40 1600
w 120 - 2w (120 - 2w) w
In order to maximize the area with the given fencing, from the equation written above, then w = 30 feet and l = 60
On substituting, we have;
A = LW = (120 - 2W) W
L = 120 - 2W,
On simplification, we have
A = 120W -2W²
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A circular patio has diameter of 4 yards . What is the area of the patio?
The area of the circular pateo is 50.24 square yards.
What is the area of the patio?Remember that for a circle of radius R, the area is given by the formula:
A = pi*R²
Where pi = 3.14
Here we know that the patio is circular, and it has a diameter of 4 yards, then the radius is:
R = 4yd/2
R = 2 yd
Replacing that in the area formula we will get:
A = 3.14*(2yd)²
A = 50.24 yd²
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A music festival sold two types of tickets, day passes and weekend passes. The day passes were $61, and the weekend pass was $110. The total ticket sales for the festival were $307,745. They sold 257 more day passes than weekend passes. How many day passes and how many weekend passes were sold?
Answer:
day passes: 1965weekend passes: 1708Step-by-step explanation:
You want the number of day passes sold for $61 and weekend passes sold for $110 if 257 more day passes were sold, and sales totaled $307745.
SetupLet w represent the number of weekend passes sold. Then w+257 is the number of day passes sold. The total revenue is ...
61(w+257) +110(w) = 307745
SolutionSimplifying the equation, we have ...
171w +15677 = 307745
171w = 292068 . . . . . . . . subtract 15677
w = 1708 . . . . . . . . . . . divide by 171
w+257 = 1965 . . . day passes sold
1965 day passes and 1708 weekend passes were sold.
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Area of triangles
Look at the image below.
6
What is the area of the triangle?
units²
3
Answer:
Please help me by marking me the brainliest.
The area of the triangle is 9 units^2
Step-by-step explanation:
Area of triangle = 1/2(6*3)
=1/2(18)
=9
Find the value of
n so that the line that goes through the points
(8,n) and
(2,−2) is perpendicular to
y=2x+4.
Answer:
n = -5
Step-by-step explanation:
We know that when two lines are perpendicular, the slopes of the two lines are negative reciprocals as
[tex]m_{2}=-\frac{1}{m_{1} }[/tex], where m2 is the slope of the line we're usually not given, and m1 is the slope of the line we're given
Thus, we know that m2 must equal -1/2 from the formula since m1 is 2:
[tex]m_{2}=-\frac{1}{2}[/tex]
Of course, -1/2 is already simplified so m2 is the slope of the line passing through (8, n) and (2, -2)
To find n, we must use our knowledge of the slope formula that gives us the slope, m:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], where x1 and y1 are one point on the line and x2 and y2 are another point on the line:
If we allow (8, n) to be our x1 and y1 point and allow (2, -2) to be our x1 and y2 point and -1/2 to be our m, we can now solve for m by plugging everything into the slope formula and solving for n (aka y1 in the formula:
[tex]-1/2=\frac{-2-n}{2-8}\\ \\-1/2=\frac{-2-n}{-6}\\ \\3=-2-n\\\\5=-n\\\\-5=n[/tex]
We can even check that we get -1/2 when we plug in -5 into the slope formula:
[tex]-1/2=(-2-(-5))/(2-8)\\-1/2=(-2+5)/(-6)\\-1/2=3/-6\\-1/2=-1/2[/tex]
Is anyone good with Math or History
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
0
Determine whether the curve is the graph of a function of x.
OYes, it is a function.
O No, it is not a function.
If it is, state the domain and range of the function. (Enter your answers in interval notation. If the curve is not the graph of a function of x, enter DNE.)
domain
range
The correct statement regarding whether the graph represents a function is given as follows:
No, it is not a function.
When does a graph represents a function?A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y. Vertically aligned points mean that a value of x is mapped to multiple values of y, that is, a single input is mapped to multiple outputs which disqualify the relation as a function.
In the graph, we have that at x = 0 = y-axis, the function has three numeric values, which is a case of vertically aligned points, hence the graph does not represent a function.
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The point J is a centroid for the triangle SZU. What is SV?
1. 21
2. 9
3. 6
4. 12
The value of SV, given that point J is the centroid, would be A. 9.
How to find the value of SV?Seeing as we have point J as the centroid for triangle SZU, we can then tell that JV would be:
JV = 1 / 3 x SV
Knowing this, we can make SV the subject of the formula to become:
(JV = 1 / 3 x SV ) / 1 / 3
3 x JV = SV
SV = 3 JV
SV would then be:
SV = 3 x JV
SV = 3 x 3
SV = 9
In conclusion, SV would be 9.
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Answer:
answer is B. 9 :)
Step-by-step explanation:
John paid $270 for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a 10% discount but still make 30% of the price he paid for. At what price should the bike be marked $?
John should mark the bike at $390 to offer a 10% discount and still make a 30% profit on the price he paid for.
If John wants to make a 30% profit on the price he paid for the bike, he needs to sell it for:
$270 + 30% of $270 = $270 + $81 = $351
To offer a 10% discount on the marked price, he needs to calculate the price that includes the discount. Let's call this price "x".
90% of the marked price "x" is the same as the price he wants to sell the bike for ($351):
0.9x = $351
x = $390
Therefore, John should mark the bike at $390 to offer a 10% discount and still make a 30% profit on the price he paid for.
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Select all of the values of x that make the inequality 100 - 3x ≥ -50 true.
A: 50
B: -50
C: 49.9
D: 50.1
E: 0
Graph the line with slope 2/3 and y-intercept -6.
A line on the graph which could represent this scenario is shown in the image attached below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided about this line, it can be modeled by this equation:
y = mx + c
y = 2x/3 + (-6)
y = 2x/3 - 6
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For question number 5
Answer: A' will be at (-2,0)
Step-by-step explanation:
Reflecting things over a line can be done in several different ways, I will try to explain the one I use and the easiest one. What I use is to look at it and find the shortest distance between the line and A, in this case, the shortest distance is at (-.5,1.5), since A is at (1,3) the distance between them is (-1.5,-1.5) If you double this change you will find how far away the new point A is from the Old point, so its a change of (-3,-3). (1,3)+(-3,-3) gets you to the final points of (-2,0)
Another, probably easier, method is to go down from point A until you hit the line, and then go over that many points. In this case, you go down 3 from A to hit the line, and then go 3 to the left which reflects it over the line. Either way you do it, you get (-2,0)
1) m2 x m2
2) w3 x w2
3) 5k3 x 4k4 x k
4) A rectangle and square have the same area.
The rectangle has length 27x and width 3x.
Find the length of each side of the square.
Find the length of each side of the square.
5) Fully simplify the following expression
28x3 ÷ 4x
6) Simplify fully:
To multiply letters e.g., xy you must include the multiplication symbol. E.g., xy should be typed as x*y
fraction numerator 12 c to the power of 8 g to the power of 9 over denominator 4 c to the power of 4 g to the power of 4 end fraction
m² × m² is equal to m⁴.
w³ × w² is equal to w⁵.
5k³ × 4k⁴ × k is equal to 20k⁸.
The length of each side of the square is 9x.
A simplification of the expression 28x³ ÷ 4x is 7x².
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LB
Where:
A represent the area of a rectangle.B represent the breadth of a rectangle.L represent the length of a rectangle.By substituting the given parameters into the formula for the area of a rectangle, we have the following;
Area of rectangle = (27x) × (3x)
Area of rectangle = 81x²
Note: Area of square = Area of rectangle
Area of square = (side length)²
81x² = (side length)²
Side length = √(81x²)
Side length = 9x
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What is the length of BC?
Answer:
18
Step-by-step explanation:
AC=AB
BC^2=AB^2+AC^2
162+162=324
Square root of 324 is 18.
I need these pages done quick! Can anyone give the answers?
Answer:
Step-by-step explanation:
Determine if the two expressions are equivalent and explain your reasoning. 8m+4-3m and 3+ m+2m+1+2m
The two expressions "8m+4-3m" and "3+ m+2m+1+2m" are equivalent because they simplify to the same-value.
To determine if the two expressions are equivalent, we can simplify each expression and then compare them.
Simplifying the first -expression,
We have,
⇒ 8m + 4 - 3m can be simplified by combining like terms;
⇒ 8m - 3m + 4 = 5m + 4
Next, Simplifying the second-expression,
we have,
⇒ 3 + m + 2m + 1 + 2m can also be simplified by combining like-terms:
⇒ (1 + 3) + (m + 2m + 2m) = 4 + 5m
So we have:
(i) 8m + 4 - 3m = 5m + 4
(ii) 3 + m + 2m + 1 + 2m = 4 + 5m
Since both simplified expressions are equal to "5m + 4", we can conclude that the two original expressions are equivalent.
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The ratio for the split is entered in cells B2 and C2. For example, the ratio of 2-for-1 would be entered as a 2 in B2 and a 1 in C2. The number of pre-split shares is entered in B3 and the pre-split price is entered in B4, Write the spreadsheet formula that will calculate the post-split number of outstanding shares in C3
The spreadsheet formula that will calculate the post-split number of outstanding shares in C3 will be C3*(B2/C2).
How to calculate the formulaAssuming the split ratio has been inputted in cells B2 and C2, one can easily ascertain the post-split number of outstanding shares in cell C3 by simply using the following formula:
=C3 × (B2/C2).
In this case, the equation multiplies the pre-split quantity of outstanding shares by the ratio written down in cells B2/C2 for the determination of resulting post-split number of outstanding shares that are in cell C3.
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For questions 18-19, describe the end behavior of the graph for each function.
18. f(x) = x³ +2x² - 5x+1
19. g(x) = -2x³-8x2 +18x+72
Answer:
18. The end behavior of the graph of f(x) = x³ + 2x² - 5x + 1 is as follows: as x approaches negative infinity, the function f(x) approaches negative infinity, and as x approaches positive infinity, the function f(x) approaches positive infinity. This is because the leading term of the polynomial is x³, which has a positive coefficient, so the graph of the function will have a "smile" shape, with the ends of the graph pointing upwards.
19. The end behavior of the graph of g(x) = -2x³ - 8x² + 18x + 72 is as follows: as x approaches negative infinity, the function g(x) approaches negative infinity, and as x approaches positive infinity, the function g(x) approaches negative infinity. This is because the leading term of the polynomial is -2x³, which has a negative coefficient, so the graph of the function will have a "frown" shape, with the ends of the graph pointing downwards.
Step-by-step explanation:
In this figure, the two angles are complementary.
(2x + 6)°
(1/2x )°
What is the value of x?
Answer:
Step-by-step explanation:
Complementary means angles that add up to 90°
Based on that you can write and equation by adding the 2 angles and making equal to 90
2x+6+1/2x=90 combine like terms on left
5/2x+6=90 subtract both sides by 6
5/2x=84 multiply by the reciprocal of 5/2 => 2/5
x=168/5 or 33.6
After paying a 20% deposit on a $300,000 home, David and Kennah finance the rest of the home cost and the closing fees for their home purchase with a 30-year loan for
$247,249 that charges an annual percentage rate of 3.94%. Calculate the total sum (NOT A SINGLE MONTHLY PAYMENT) of all monthly payments required to pay off this loan.
Round to the nearest whole number.
Answer: The total sum of all monthly payments required to pay off this loan is $410,932.
To calculate this, we need to first find the amount of the loan that is not covered by the deposit. The deposit is 20% of $300,000, or $60,000, so the remaining amount of the loan is $300,000 - $60,000 = $240,000.
Next, we need to calculate the monthly payment on the loan. We can use the formula for a fixed-payment loan to do this:
Payment = (Loan amount x Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Number of months))
The monthly interest rate is the annual interest rate divided by 12, or 0.0394 / 12 = 0.003283.
The number of months is the number of years times 12, or 30 x 12 = 360.
Plugging these values into the formula gives:
Payment = ($247,249 x 0.003283) / (1 - (1 + 0.003283)^(-360)) = $1,151.80
Finally, we can find the total sum of all monthly payments by multiplying the monthly payment by the number of months:
Total payments = $1,151.80 x 360 = $410,932 (rounded to the nearest whole number).
Step-by-step explanation:
will give brainliest!!!!!! Find the measure of each angle indicated.
Round to the nearest tenth.
6)
7)
A
0
C
A
0
12
()
6
5
B
B
10
C
Using trigonometric relations we can see that:
6) θ = 30°
7) θ = 60°
How to find the measure of the angle?We can see a right triangle where we want to find the value of θ, we know the hypotenuse and the opposite cathetus, then we can use the trigonometric relation:
sin(θ) = (opp cath)/hyp
Replacing what we know:
sin(θ) = 6/12 = 1/2
Then we know that θ = 30°
For the second one we know the adjacent cathetus and the hypotenuse, here we need to use the cosine relation:
cos(θ) = 5/10
cos(θ) = 1/2
then θ = 60°
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