The total charge for the month is given as follows:
$123.93.
How to obtain the total charge for the month?The total charge for the month is obtained applying the proportions in the context of the problem.
The costs are given as follows:
$19.99 per line for the first three lines.$15.99 per line for each additional line.For a customer with 7 lines, the charges are given as follows:
$19.99 for each of the first three lines.$15.99 for each of the last four lines.Hence the total charge is then calculated as follows:
3 x 19.99 + 4 x 15.99 = $123.93.
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This is a graph of y=x³.
How do we shift the graph of y=x^3 to get the graph of y=(x-2)³-4?
Answer:
2 right, 4 down
Step-by-step explanation:
By subtracting 2 inside the function, the graph is shifted 2 to the right and by subtracting 4, it is shifted 4 down.
To think of this more intuitively, in the original function, inputting 0 would yield the same output as plugging in a function with (x - 2) inside:
[tex]x^3=0^3=0\\(x-2)^3=(2-2)^3=0^3=0[/tex]
In addition, by subtracting -4, the value would always go down 4 from the original value of x^3:
[tex]x^3 = 0^3 = 0[/tex]
[tex]x^3-4 = 0^3-4=0-4=-4[/tex]
By putting these together we get the answer above.
need help getting my answer
There are a total of 2285 people in the given town.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given, fourteen percent of the town's population is above the age of 65.
Since there are 320 residents who are above the age of 65,
Thus,
14% of the population = 320
So,
1 % of the population = 320 /14
Thus,
Total population = 320/14 * 100
Total population of the town = 2285.71
Therefore, there are a total of 2285 people in the given town.
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The triangles on the grid below represent a translation. On a coordinate plane, triangle A B C is shifted 5 units up to form triangle A prime B prime C prime. Which translation is shown on the grid? a horizontal translation only a vertical translation only a horizontal translation followed by a vertical translation a vertical translation followed by a horizontal translation Mark this and return
The triangle ABC is vertically translated only. Then the correct option is B.
What is a transformation of geometry?A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.
We know that;
Reflection does not change the size and shape of the geometry.
Rotation does not change the size and shape of the geometry.
Translation does not change the size and shape of the geometry.
Here, On a coordinate plane, triangle ABC is shifted 5 units up to form triangle A'B'C'.
The diagram is given below.
From the diagram, we can clearly observe that the triangle ABC is vertically translated only.
Then, The correct option is B.
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Question 4 of 10
Which of the following graphs could represent a cubic function?
++++
B.
A.
OA. Graph A
OB. Graph B
OC. Graph C
OD. Graph D
D.
The graph of the cubic function [tex]f(x)=x^3[/tex] is plotted.
The correct answer is Option C.
Given data:
The graph of a cubic function is a type of polynomial graph that has the form [tex]f(x) = ax^3 + bx^2 + cx + d[/tex] , where 'a', 'b', 'c', and 'd' are constants.
The graph of the cubic function [tex]f(x) = x^3[/tex] is a smooth curve that passes through the origin (0,0) and extends into the four quadrants of the Cartesian coordinate system.
Y-Intercept:
The cubic function passes through the origin (0,0), so it has a y-intercept of (0,0).
X-Intercept:
The x-intercept occurs when f(x) = 0.
On solving for x:
[tex]x^3 = 0[/tex]
x = 0
So, the cubic function has an x-intercept of (0,0).
Hence, the cubic function is [tex]f(x)=x^3[/tex] and is plotted below.
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A recipe calls for cup
of chopped walnuts. You chop 4 walnuts
and get of the amount you need.
-
4
How much more of a cup of chopped
walnuts do you need? All your walnuts
are the same size. How many more
walnuts should you chop? Explain.
If you already chopped 4 walnuts and you have only gotten 1/4 cup of the chopped walnuts, it means that each walnut yields 1/4 cup / 4 walnuts = 1/16 cup of chopped walnuts.
To find out how much more chopped walnuts you need, we can subtract the amount you have from the total amount the recipe calls for:
1 cup - 1/4 cup = 3/4 cup
So you need 3/4 cup of chopped walnuts more.
To find out how many more walnuts you should chop, divide the amount you need by the amount each walnut yields:
3/4 cup / (1/16 cup/walnut) = 12 walnuts
So you should chop 12 more walnuts to get the desired amount.
A gardener wants to determine which of two brands of fertilizer is best for the plants in a garden. Before using one of the fertilizers on the entire garden, the gardener decides to conduct an experiment using 28 individual plants. Which of the two plans for randomly assigning the treatments should the gardener use? Explain.
Plan A: Choose the 14 unhealthiest-looking plants. Apply Brand X fertilizer to all 14 of those plants. Apply Brand Y fertilizer to the remaining 14 plants.
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
Plan A, because the unhealthy plants need the fertilizer the most and should be treated first
Plan B, because the sample of plants is randomly chosen
Plans A and B are equivalent because they both follow experimental design
Plans A and B are both poorly designed because there are not enough plants to test
The plans cannot be evaluated from the information given
Plan B: Choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
What is a sample and its types?A sample is only a small portion of the population.
Let's imagine you were interested in determining the average income for all Americans in your population.
Instead of knocking on every door in America because of time and money constraints, you decide to ask 1,000 random people. Your sample consists of these a thousand persons.
Given, A gardener wants to determine which of two brands of fertilizer is best for the plants.
And the gardener decides to conduct an experiment using 28 individual plants.
Plan A will be a biased sampling and the experiment would not yield
desired results.
Therefore, The gardener should choose 14 of the 28 plants at random. Apply Brand X fertilizer to those 14 plants and Brand Y fertilizer to the remaining 14 plants.
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With only a part-time job and the need for a
professional wardrobe, Rachel quickly
maxed out her credit card the summer after
graduation.
With her first full-time paycheck in August,
she vowed to pay $320 each month toward
paying down her $8,975 outstanding
balance and not to use the card.
The card has an annual interest rate of 17%.
How long will it take Rachel to pay for her
wardrobe? Should she shop for a new card?
Why or why not?
It will take Rachel 5 months to pay off her debt at her current monthly payment rate.
What do you mean by Interest rate?Interest rate is a percentage that represents the amount of interest charged by a lender to a borrower for the use of money. It is used to calculate the interest that will accrue on a loan or deposit over a specific period of time, and is usually expressed as an annual rate. It is a key component in determining the cost of borrowing money, and affects the amount that must be paid back to the lender, including the principal amount and any additional interest charges.
Rachel's monthly payment of $320 will only cover the interest on her debt and will not significantly reduce the outstanding balance. She would need to pay more each month or find a way to reduce the interest rate in order to pay off her debt in a reasonable amount of time.
To calculate the time it will take for Rachel to pay off her debt, we can use the following formula:
n = ceil(log(P/A) / log(1 + r))
where n is the number of payments, P is the initial balance, A is the monthly payment, and r is the monthly interest rate (expressed as a decimal).
In this case, P = $8,975, A = $320, and r = 17% / 12 = 0.17 / 12 = 0.01417.
So, n = ceil(log($8975 / $320) / log(1 + 0.01417)) = ceil(log(28.09375) / log(1.01417)) = ceil(4.3626) = 5.
It will take Rachel 5 months to pay off her debt at her current monthly payment rate. This means that it will take her just over 4 years to pay off the debt, assuming no additional purchases are made on the card and the interest rate does not change.
As for shopping for a new card, Rachel should consider a card with a lower interest rate. This will allow her to pay off her debt more quickly and save money in interest charges. She may also consider a balance transfer card with an introductory 0% interest rate, which would give her time to pay off the debt without accruing interest. However, she should be aware of any balance transfer fees that may apply. It is best for Rachel to compare options and read the fine print before making a decision.
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Enrollment in a school has grown exponentially since the school opened. A graph depicting this growth is shown. Determine the percentage rate of growth.
An exponential graph has Time in Years on the x axis and Enrollments on the y axis. A curve that rises from left to right begins at zero comma thirty and passes through twenty comma eighty.
0.6%
6%
0.06%
1.06%
Answer: 0.6
Step-by-step explanation:
Answer: I believe its 6%
Step-by-step explanation:
so sorry if i'm wrong
NSWERS
SALGTRIG4 1.3.005.
The equation of the horizontal line passing through (9, 2) is
Check the picture below.
Hakim needs to simplify the expression below.
(1.85 minus 0.3) divided by 8 + 4 times 3
Which operation should he perform first?
A. addition
B. subtraction
C. multiplication
D. division
The Answer is B because we use pemdas (parentheses)(exponents)(multiplication)(division)(addition)(subtraction)
so first is what is inside of the parentheses which is a subtracting equation number b is subtraction so the answer is b
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answer: A; The probability of landing on blue is greater than the probability of landing on purple.
Step-by-step explanation: This statement is true because you need to analyze the problem. Since there is a 3/6 or 1/2 chance of getting a blue, it is higher than getting a purple spot, which is 2/6 or 1/3. So, we can model our answer as:
3/6 > 2/6
or
1/2 > 1/3
I hope this helped!
In rectangle PQRS, the diagonals intersect each other at point T. If PR = 9 and PQ = 7 what is the area of PQR? Round to the nearest tenth.
On solving the provided question, we can say that In rectangle, the two diagonals are in congruence , the diagonals bisect each other. PT=TR=ST=TQ=1/2PR=1/2QS =1/2×22.8=11.4
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
Rectangle, two diagonals are in congruence
⇒PR=QS=22.8
The diagonals bisect each other.
⇒PT=TR=ST=TQ=1/2PR=1/2QS
=1/2×22.8=11.4
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1/4+ 2/5 ⭕️ 1/4+1/5
Compare using< >. =
We have compared the given expression using inequalities
[tex]1/4+2/5 > 1/4+1/5[/tex]
[tex]\frac{16}{20} > \frac{9}{20}[/tex].
What is the comparison of factor?
When evaluating a job, factor comparison is a systematic, scientific process that evaluates candidates according to a number of characteristics rather than grading the job as a whole.
Given:
[tex]1/4+2/5 \\ 1/4+1/5[/tex]
Cross multplying the fractions:
[tex]\frac{1}{4}+\frac{2}{5}[/tex] = [tex]\frac{4}{20}+ \frac{8}{20}[/tex]
= [tex]\frac{12}{20}[/tex]
=[tex]\frac{4}{5}[/tex]
Similarly ,
[tex]\frac{1}{4}+ \frac{1}{5}[/tex]=[tex]\frac{5}{20} +\frac{4}{20}[/tex]
=[tex]\frac{9}{20}[/tex]
Compare 4/5 and 9/20.
Find the LCD:
The multiples of 5 are 5, 10, 15, 20, 25, etc. The multiples of20 are 20, 40, 60, 80, etc. The lowest common multiple is 20 so we use that as the lowest common denominator.
Convert each fraction to its equivalent fraction using the LCD.
For 4/5, multiply numerator and denominator by 4 to have LCD = 20 in the denominator.
=[tex]\frac{4}{5} *\frac{4}{4}[/tex]=[tex]\frac{16}{20}[/tex]
For 9/20, 20 is the denominator.
Compare the fractions. Because there are like denominators you can compare the numerators.16 is larger and 9 is smaller so,
[tex]\frac{16}{20} > \frac{9}{20}[/tex]
so,
[tex]1/4+2/5 > 1/4+1/5[/tex]
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Camilla bought a duffel bag costing $10.73. If Camilla received $0.95 in change, how much money did she give to the cashier?
The amount of money Camilla gave the cashier is
$11.68
What is Word problem?A word problem is a math problem written out as a short story or scenario. Basically, it describes a realistic problem and asks you to imagine how you would solve it using math. If you've ever taken a math class, you've probably solved a word problem.
For example, if there are 20mangoes and 20 oranges are in a basket, the total number of fruit is 20+20 = 40 fruits
Camilla bought a duffel bag for $10.73 and he collected $0.95 as change.
Therefore the total money he gave to the cashier is $10.73+$0.95 = $11.68
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How much should you invest each month in order to have $800,000 if your rate of return is 2.8% compounded monthly and you want to achieve your goal in 40 years? How much interest will you earn? How much should you invest each month in order to have $800,000 if you want to achieve your goal in 20 years? If you deposit the amount you need to achieve your goal in 20 years, how much will your savings be worth after 10 years?
Answer:
if you want to achieve your goal in 20 year, you would have to invest 1879.790424 at the end of each month for 240 months. you will have 800,000 after 20 years.
Step-by-step explanation:
rate of return is 5.3% compounded monthly.
number of years = 40.
future value = 800,000
interest rate per month is 5.3% / 12 = .4416666....%
number of time periods if 40 * 12 = 480
payment required at the end of each month is equal to 484.5267545
your total payments are 480 * 484.5267545 = 232,572.8422
total interest earned would be 800,000 minus 232,572.8422 = 567,427.1578
if you want to achieve your goal in 20 year, you would have to invest 1879.790424 at the end of each month for 240 months.
you will have 800,000 after 20 years.
if you deposit that money for an additional 10 years at the same rate of interest per year compounded annually, then you will have 1,357,560.674.
you can use an online calculator to get the results similar to this.
they might not be right on because of possible rounding errors, but they'll be close.
How can you tell if someone has a growth mindset?
Answer:
Step-by-step explanation:
When someone has a growth mindset they believe that they can continue to learn and become more intelligent with effort.
Find the inverse of h(x)=2x^3+3
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
[tex]\stackrel{h(x)}{y}~~ = ~~2x^3+3\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^3 + 3} \\\\\\ x-3=2y^3\implies \cfrac{x-3}{2}=y^3\implies \sqrt[3]{\cfrac{x-3}{2}}=y=f^{-1}(x)[/tex]
Which sentence best explains how the author creates
excitement in the passage?
1. He includes foreshadowing to indicate events
to come.
O2. He employs flashback to reveal shocking
background information.
3. He emphasizes the anticipation of waiting in
order to build suspense.
4. He changes the setting in order to
help support the use of parallel plots.
Answer:
He includes foreshadowing to indicate events
to come
Sarah made 6 dozen cupcakes for a party at work. Some of her co-workers, c, each ate 3 cupcakes. Now, there are 45 cupcakes
left. Which equation represents this situation?
OA. (12 x 6)-(c x 3) = 45
OB. (cx 3)-12 = 45
OC. cx 3=45
OD. (12 x 6)- c = 45
Answer: A.
Step-by-step explanation:
Sarah made 6 dozen cupcakes which is (12 x 6)
Then if her co-workers or c ate 3 cupcakes EACH, it will be (c x 3)
and since they ate them it's subtraction with a left over of 45 cupcakes
the perimeter of a playing field for a certain sport is 308 ft the field is a rectangle and the length is 44ft longer than the width. find the dimensions
The dimensions of the playing field are a length is 99 ft, and a width is 55 ft.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
Given that the length is 44ft longer than the width.
This means L = W + 44 ....(i)
Since the perimeter of a playing field is 308 ft
So 2(L+W) = 308
Substitute the value of the equation (i), and we get
2(W + 44 + W) = 308
2(2W + 44) = 308
4W + 88 = 308
4W = 220
W = 55
Substitute the value of W = 55 in equation (i), and we get
L = 55 + 44 = 99
Thus, the length is 99 ft, and the width is 55 ft.
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Mrs. Larson May 12 pills from 16 yards of the same fabric how much fabric was used to make each pillow between what two whole numbers does your answer lie
The amount of the fabric is 4 / 3 yards.
How to determine the amount of the fabricLet's call the amount of fabric used to make each pillow "x".
Then, the total amount of fabric used was 12 * x = 16 yards.
Solving for x, we get x = 16 / 12 = 4 / 3 yards.
Since fabric is typically sold in whole yards, the answer lies between 1 and 2 yards.
The answer, 4 / 3 yards,
This can be rounded up to 1 yard or rounded down to 1 1/3 yards.
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The net for a cylindrical candy container is shown.
net of a cylinder with diameter of both circles labeled 1.6 inches and a rectangle with a height labeled 0.7 inches
The container was covered in plastic wrap during manufacturing. How many square inches of plastic wrap were used to wrap the container? Write the answer in terms of π.
1.84π square inches
2.4π square inches
5.68π square inches
6.24π square inches
The wrap has an area of 1.12π square inches.
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, The net of a cylinder with a diameter of both circles labeled 1.6 inches.
So, The complete circle or the circumference of the circle will be the length of the wrap which is,
= 2π×0.8.
= 1.6π and the height of the wrap is 0.7 inches.
Therefore, the area of the wrap is 1.6π×0.7 square inches.
= 1.12π square inches.
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Answer: The real answer is 2.4π square inches (B)
Step-by-step explanation:
(Get ready for a long explanation)
So, we are trying to find the Surface Area of the cylinder.
We need to use the formula (SA = 2πr^2 + 2πrh)
Looks like a very long formula, but let do it in parts.
So the first part is just finding the area of the circle and multiplying by 2 because there are two bases. The area formula for circles is (πr^2)
But this time put a 2 in there. (2πr^2)
Okay lets get started. The diameter is 1.6. The radius is half the diameter, so divide 1.6 by 2 and you will get 0.8 which is the radius.
Now times the radius by itself (0.8 * 0.8 = 0.64) Now times that by 2 (0.64 * 2 = 1.28) The answer should be in terms of pi so just put the pi symbol next to 1.28 (1.28π)
On to the next part, (2πrh) you are basically taking the circumference of either circle base, and multiplying that by the height, which is (0.7)
The formula for Circumference is (2πr)
We already have the diameter so we don't need times the radius by 2.
So take the diameter of the circle base (1.6) and multiply that by the height, which is (0.7)
(1.6 * 0.7 = 1.12π)
Now for the last part, we need to add the two values together to find the surface area.
The first value we found is (1.28π ) and the second is (1.12π)
Now add (1.28π + 1.12π = 2.4π)
Answer: 2.4π square inches
Sorry for the really long explanation. I took the same test and I got it right so here is proof that it is correct. Have a great day y'all.
please answer this question who ever gets the best answer gets the brainliest
Answer:
5, second choice
Step-by-step explanation:
When x is 3, the purple line's y-value is between 4 and 6, which is 5.
Answer:
B
Step-by-step explanation:
You have two black lines with the arrows at the end. The one going left and right is your X-Axis. The one going up and down is the Y-Axis.
What they want to know is what is f(x) when x = 3
f(x) is another term for y
So they want to know, what is the value of the y-axis when x is 3 on the x-axis.
So on the line going left and right you find the line 3, between 2 and 4, then going up until you hit the purple line. Once you hit the purple line, go left until you hit the up and down line. That will give you an answer of 5
A survey of 219 SPC students was taken at registration. Of those surveyed:
68 students had signed up for a Math course
40 students had signed up for a Humanities course
20 students had signed up for both a Math and Language Arts course
5 students had signed up for both a Math and Humanities course
10 students had signed up for both a Language Arts and Humanities course
2 students had signed up for all three courses
5 students did not sign up for any of these classes
How many students signed up for only Language Arts (of these three)?
The number of students that signed up for only language art is 116
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
n( of Math and language only) = 20-2 = 18
n( of Math and humanities only) = 5-2 = 3
n( of humanities and language only) = 10-2 = 8
n( math only) = 68-(18+2+3)
= 68 - 23 = 45
n( humanities only) = 40-( 8+3+2)
= 40-13 = 27
represent number of student Who signed up for language by x
n( of language only) = x-( 18+2+8)
=x- 28
219 = 45+27+18+2+3+8+x-28
219 = 75 +x
x = 219-75
x= 144
therefore number of students that signed from language art only = 144-28
= 116
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Write this number in words 627,391
Answer:
six hindered twenty seven thousand three hundred ninety one
Step-by-step explanation:
please follow me
What is the value of x? Enter your answer in the box. ___ units
Answer:
x = 28
Step-by-step explanation:
Consider the two triangles ΔAPR and ΔCDR
We see that AP ║ CD
Therefore m∠PAR = m∠CR, m∠APR= m∠CDR
Angle ∠R is common to both triangles
So the triangles are similar
Therefore the ratios of the sides must be the same ratio
[tex]\dfrac{AR}{CR} = \dfrac{PR}{DR}\\\\[/tex]
AR = x + 10
CR = x
PR = 42 + 15 = 57
DR = 42
PR = 42 + 15 = 57
Plugging in the values for these sides:
[tex]\dfrac{x + 10}{x} = \dfrac{57}{42}\\[/tex]
Cross-multiplying we get
[tex]42(x + 10) = 57x\\\\42x + 420 = 57x\\\\420 = 57x - 42x = 15x\\\\15x = 420\\\\x = 420/15\\\\= 28[/tex]
A 5 foot wide painting should be centered on a 15 foot wide wall. Type the left side of an equation that can be used to determine how many feet (x) should be on each side of the painting.
The total length on each side of the 5 foot painting is given by the equation A = 5 feet each
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total length on each side of the 5 foot painting be A
Now , the equation will be
The length of the painting = 5 feet
The length of the wall = 15 feet
So , when 5 foot wide painting is centered on a 15 foot wide wall , the remaining space will be
2A = length of the wall - length of the painting
Substituting the values in the equation , we get
2A = 15 - 5
2A = 10 feet
Now , total length on each side of the 5 foot painting A = 10 / 2
On simplifying the equation , we get
The total length on each side of the 5 foot painting A = 5 feet
Hence , the equation is A = 5 feet
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You want to buy a $204,000 home. You plan to pay 10% as a down payment, and take out a 30 year loan for the rest.
The monthly mortgage payment for a $204,000 home with a 10% down payment and a 30 year loan at an interest rate of 3.5% would be approximately $808.44.
Solution
To calculate the monthly mortgage payment for a $204,000 home with a 10% down payment and a 30 year loan.
We'll need to first calculate the amount of the loan and then use the following formula to calculate the monthly payment:
M = P * r * (1 + r)^n / ((1 + r)^n - 1)
where M is the monthly payment P is the principal (loan amount) r is the monthly interest rate n is the number of paymentsFirst, we'll calculate the down payment:
Down payment = 204,000 * 0.10 = $20,400
Next, we'll calculate the loan amount:
Loan amount = 204,000 - 20,400 = $183,600
Now, we'll need to convert the 30 year loan term into the number of payments (n) and the interest rate into the monthly interest rate (r):
n = 30 years * 12 months/year = 360 payments
r = (Annual interest rate) / 12 months/year
Assuming an annual interest rate of 3.5%, the monthly interest rate would be:
r = 0.035 / 12 = 0.002917
Finally, we can plug the values into the formula to calculate the monthly mortgage payment:
M = 183,600 * 0.002917 * (1 + 0.002917)^360 / ((1 + 0.002917)^360 - 1) = $808.44
Therefore, the monthly mortgage payment for a $204,000 home with a 10% down payment and a 30 year loan at an interest rate of 3.5% would be approximately $808.44.
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The passcode for a smartphone consists of 3 letters followed by 3 digits. How many of these passcodes contain vowels only?
The combination of the letters will be 60.
When an order or sequence of arrangement is required, permutations are used. Combinations are used when there are only a limited number of possible groups to find and there is no requirement for the order or sequence of arrangements. For different kinds of things, permutations are used. Combinations are employed for similar items.
Given that the passcode for a smartphone consists of 3 letters followed by 3 digits.
The number of the vowels is:-
Vowels = { A, E, I, O, U} = 5
Number of letters = 3
The arrangements of the vowels will be:-
Number = ⁵C₃
Number = ( 5 x 4 x 3 )
Number = 60
Hence, the vowels can be arranged in 60 ways.
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Why should you do research beyond an article you read?
A. It may be native advertising
B. The source of the article may not be impartial
C. To learn about the alternative solutions
D. All of the above
Answer:
D. All of the above
Step-by-step explanation:
Answer:
D. All of the above
Step-by-step explanation:
If you were to base your reading on one article and nothing else, your chances of possibly misinterpreting information and sending false narratives are more possible. That is why you should always do as much research as you can.