Mathematics High School
Answers
Answer 1
Of the functions listed in the options the ones that are linear are:
a. y = -2x
b. -4y = 3x
d. 2x - 3y = 12
Linear equations are equations of the first order. These equations are defined for lines in the coordinate system.
Related Questions
Please help ASAP! Select all rational numbers.
Answers
The rational numbers are √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49
What is a rational number?
A rational number can simply be described as a number that is expressed as the ratio of two even or odd integers.
The denominator of the fraction or ratio must be greater than zero.
Rational numbers are represented mathematically as a quotient, say x/y of two integers such that y ≠ 0, that is, the denominator is not equal r equivalent to zero.
It is formed from dividing on integer(whether odd or even) by another integer.
The numbers; √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49 are all rational numbers
Hence, the numbers are √75, 2. √7, √0. 36, √0. 0144, √3/77, -√36/49
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Given: angle CDE congruent to angle CED,
Angle A = angle B
Prove: DE || AB
Please explain the statement and reasoning
Ex: AB is congruent (the sign) to DE. Given
Ill reward brainliest to the one who explains it best ty
Answers
1) [tex]\angle CDE \cong \angle CED, \angle A \cong \angle B[/tex] (given)
2) [tex]m\angle CDE=m\angle CED, m\angle A=m\angle B[/tex] (definition of congruent angles)
3) [tex]m\angle C+m\angle CDE+m\angle CED=180^{\circ}, m\angle C+m\angle A+m\angle B=180^{\circ}[/tex] (sum of angles in a triangle)
4) [tex]m\angle C+2m\angle CDE=180^{\circ}, m\angle C+2m\angle A=180^{\circ}[/tex] (substitution)
5) [tex]m\angle C=180^{\circ}-2m \angle CDE, m\angle C=180^{\circ}-2m\angle A[/tex] (subtraction)
6) [tex]180^{\circ}-2m \angle CDE=180^{\circ}-2m \angle A[/tex] (transitive)
7) [tex]-2m\angle CDE=-2m\angle A[/tex] (subtraction)
8) [tex]m\angle CDE=m\angle A[/tex] (division)
9) [tex]\angle CDE \cong \angle A[/tex] (definition of congruent angles)
10) [tex]\overline{DE} \parallel \overline{AB}[/tex] (converse of corresponding angles theorem)
Model Real Life A healthcare worker
has 3 shifts each week. The route from
her house to the hospital is 9.9 miles
and the route back to her house is
10.5 miles. About how far does she
travel for work each week?
Answers
She travels 61.2 miles for work each week.
What is addition?
Addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
We have been given that the healthcare worker has 3 shifts each week. The route from her house to the hospital is 9.9 miles and the route back to her house is 10.5 miles.
The distance from her house to the hospital = 9.9 miles
The distance back to her house = 10.5 miles.
The total distance travel in one shift = 9.9 + 10.5 = 20.4 miles
The total distance travel in 3 shift = 3 x 20.4 = 61.2 miles
Hence, She travels 61.2 miles for work each week.
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Use the figure to find the measures of the numbered angles. The problem number 2. I’m just trying to make sure I’m doing these correctly.
Answers
Angle 2 and angle of 34° are vertical angles, then they are congruent, that is,
[tex]m\angle2=34\degree[/tex]
Angle 6 and angle of 34° are corresponding angles, then they are congruent, that is,
[tex]m\angle6=34\degree[/tex]
Angle 4 and angle of 34° are alternate interior angles, then they are congruent, that is,
[tex]m\angle4=34\degree[/tex]
Angle 7 and angle of 34° are same-side interior angles, then they are supplementary, that is,
[tex]\begin{gathered} m\angle7+34\degree=180\degree \\ m\angle7=180\degree-34\degree \\ m\angle7=146\degree \end{gathered}[/tex]
Angles 4 and 3 are same-side interior angles, then they are supplementary, that is,
[tex]\begin{gathered} m\angle4+m\angle3=180\degree \\ 34\degree+m\angle3=180\degree \\ m\angle3=180\degree-34\degree \\ m\angle3=146\degree \end{gathered}[/tex]
Angles 7 and 5 are vertical angles, then they are congruent, that is,
[tex]\begin{gathered} m\angle5=m\angle7 \\ m\angle5=146\degree \end{gathered}[/tex]
Angles 1 and 3 are vertical angles, then they are congruent, that is,
[tex]\begin{gathered} m\angle1=m\angle3 \\ m\angle1=146\degree \end{gathered}[/tex]
The sizes of two matrices A and B are given. Find the sizes of the product AB and BA, whenever these products exist.A=3*2, B=2*3
Answers
Let's begin by identifying key information given to us:
A is a 3 x 2 matrix
B is a 2 x 3 matrix
AB is the product of 3 x 2 matrix & 2 x 3 matrix. We obtain a 3 x 3 matrix
Therefore, the size of the product of A & B (that is AB) is a 3 x 3 matrix whenever these products exist
Rewrite x4y2 − 3x3y3 using a common factor. 3xy(x3y − x2y) 3xy2(x2 − x2y) x2y(xy − 3xy2) x2y2(x2 − 3xy)
Answers
Answer:
(d) x²y²(x² − 3xy)
Step-by-step explanation:
You want to identify a rewrite of x⁴y² − 3x³y³ using a common factor among ...
3xy(x³y − x²y) 3xy²(x² − x²y) x²y(xy − 3xy²) x²y²(x² − 3xy)
Simplified
Here, we write the expanded form of the answer choices to see if any is a fit for the given expression.
3xy(x³y − x²y) = 3x⁴y² -3x³y²3xy²(x² − x²y) = 3x³y² -3x³y³x²y(xy − 3xy²) = x³y² -3x³y³x²y²(x² − 3xy) = x⁴y² -3x³y³ . . . . . . . matches the given expression
__
Additional comment
The relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
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URGENT HELP!!
Approximate the correlation of the data shown below?
Answers
The approximate correlation of the data shown on the diagram above is: C. -0.5.
The question says we should approximate the correlation using the given scatter plot. Below shows a detailed explanation on how to do a rough estimation of the possible value of the correlation.
What is the Approximate Correlation of a Data?
Correlation Coefficient, r, is a numerical value of -1 to 1, which tells how strongly related two variables are. If the points on a scatter plot form a trendline that slopes upwards, it is a positive correlation. If it slopes downwards, it is a negative correlation.
The magnitude of the correlation coefficient is dependent on how father apart the points are from each other along a trend line. If they are much farther apart from each other, the correlation coefficient would far from 1 and -1, and close to zero. If they are closer, it would be close to 1 or -1, and far from 0.
The scatter plot shows the data points are moderately spaced from each other and the trendline slopes downwards. Therefore, the best estimate for the correlation is: C. -0.5.
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a large industrial firm purchases several new word processors at the end of each year, the exact num- ber depending on the frequency of repairs in the previ- ous year. suppose that the number of word processors, x, purchased each year has the following probability distribution: x 0 1 23 f(x) 1/10 3/10 2/5 1/5 if the cost of the desired model is $1200 per unit and at the end of the year a refund of 50x2 dollars will be issued, how much can this firm expect to spend on new word processors during this year?
Answers
The money which is expected to spend on new word processors during this year is
The probability distribution is
x: 0 1 2 3
f(x) [tex]\frac{1}{10}[/tex] [tex]\frac{3}{10}[/tex] [tex]\frac{2}{5}[/tex] [tex]\frac{1}{5}[/tex]
If the cost of the desired model is $1200 per unit and at the end of the year a refund of 50x2 dollars
So total money spent in this year is [tex]1200x-50x^2[/tex]
Then the equation of expenses will be
[tex]\text{Expenses}=E(1200x-50x^2)[/tex]
We can rewrite it as
[tex]\text{Expenses}=E(1200x)-E(50x^2)[/tex]
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex] -----------------(1)
Now the mean of the probability distribution is ,
[tex]E(x)=\sum_{ }^{ }((x_i)(f(x_i))\\=(0\times\frac{1}{10})+(1\times\frac{3}{10})+(2\times\frac{2}{5})+(3\times\frac{1}{5})\\=\frac{3}{10}+\frac{4}{5}+\frac{3}{5}\\\\=\frac{3+8+6}{10}\\\\=\frac{17}{10}\\\\=1.7[/tex]
The variance of the function is
[tex]E(x)=\sum_{ }^{ }(x_i^2)(f(x_i)[/tex]
[tex]=(0^2\times\frac{1}{10})+(1^2\times\frac{3}{10})+(2^2\times\frac{2}{5})+(3^2\times\frac{1}{5})[/tex]
[tex]=\frac{3}{10}+\frac{8}{5}+\frac{9}{5}[/tex]
[tex]=\frac{37}{10}[/tex]
[tex]=3.7[/tex]
On substituting the values in equation (1)
[tex]\text{Expenses}=1200E(x)-50E(x^2)[/tex]
[tex]=1200(1.7)-50(3.7)^2[/tex]
[tex]=2040-684[/tex]
[tex]=1855[/tex]
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This question has two parts. First, answer Part A. Then, answer Part B.
part A:
Answers
The length of the incline of the ramp will be [h] = 12.0415 ft
What is Pythagoras theorem?
According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -
h² = p² + b²
Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.
From the data given, we can consider the ramp construction as right angled triangle. We can write -
base [b] = 12 ft
height [p] = 1 ft
Using the Pythagoras theorem -
h² = (12 x 12) + (1 x 1)
h² = 144 + 1
h = √145
h = 12.0415
Therefore, the length of the incline of the ramp will be [h] = 12.0415 ft
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[This question also has part B. Visit the following link for part B -
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A model of a ship is made to a scale of 3:400
The surface area of the model is 7200 cm²
Calculate, in m², the surface area of the ship.
Answers
Answer:
Given:
Model : Ship = 3 : 400
The surface area of the model = 7200 cm²
To Find:
The surface area of the actual ship in m²
Let's start with the map scale given:
Model : Ship = 3 : 400
We start by adding in a unit. Usually, we choose the units associated with the model:
Model : Ship = 3 cm : 400 cm
Now, according to tot the question, we know that the actual ship is in m:
Model : Ship = 3 cm : 400 ÷ 100 m
Model : Ship = 3 cm : 4 m
The question asked for surface area, so the units have to be in squares:
Model : Ship = (3 cm)² : (4 m)
Model : Ship = 9 cm² : 16 m²
Now, that we have the units set correctly according to the question requirement, we will find 1 branch of the model:
Model : Ship = 9 cm² : 16 m²
Model : Ship = 9÷9 cm² : 16÷9 m²
Model : Ship = 1 cm² : 16/9 m²
Finally, we can find the required units by multiplying both sides with the required units:
Model : Ship = 1 cm² : 16/9 m²
Model : Ship = 1 x 7200 cm² : 16/9 x 7200 m²
Model : Ship = 7200 cm² : 12800 m²
Answer: The surface area of the ship is 12800 m²
(by the way, this was copied from the same website)
hope this helps :)
The quantities xxx and yyy are proportional.
xxx yyy
222 222222
777 777777
999 999999
Answers
The value of y when x is 9 for the proportional relationship between is 31.5.
What is constant of proportionality?
The constant of proportionality is used to show the proportional relationship between the numbers given.
In this case, when x is 2, y is 7. This will be illustrated thus:
y = kx
7 = 2k
Divide
k = 7/2
k = 3.5
Therefore, when x is 9, the value of y will be:
y = kx
y = 3.5 × 9
y = 31.5
Therefore, y is 31.5.
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Consider the data set displayed on the following box plot. -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12 © 2018 StrongMind. Created using GeoGebra. Which of the following statements about the data set are true? Select all that apply. There are no outliers. There is one outlier The interquartile range is 8. O The data is skewed. The data is symmetric. The interquartile range is 10. There are two outliers.
Answers
The first one is TRUE since there are not outliers
The second one is FALSE
The interquartile range is 10, so the third one is FALSE
The data is skewed since the median is not in the middle,so the fourth is TRUE and the fifth is FALSE
The sixth one is TRUE
The last one is FALSE.
Summirizing, we have
True
False
False
True
False
True
False
Charlie graphs the equation y = -1/2x + 2.
Select all statements about Charlie's graph that are true.
-The line does not pass through the origin.
-The graph is a straight line.
-The slope of the line is 1/2
-The line passes through the point (0, -2).
-The y-intercept of the line is 2.
Answers
The True statements are: the graph is a straight line and the line does not pass through the origin. The y-intercept of the line is 2.
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
The equation is given as y = -1/2 x + 2
Then Formula of the linear equation ( in slope-intercept form ):
y = m x + b
m = -1/2, b = 2
0 = - 1/2 ( 0 )+ 2
0 ≠ 2 ( it does not pass through the origin )
- 2 ≠ 2
Therefore, the True statements are:
The graph is a straight line.
The line does not pass through the origin.
The y-intercept of the line is 2.
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quick Sarah is walking diagonally across a park as modeled by the equation y = x − 1. Suppose Marcus starts walking at the point (0, 9) so his path is perpendicular to Sarah's. At what point will Sarah's path and Marcus's path intersect?
Answers
The Sarah's path and Marcus path will intersect at the point (5,4) .
In the question ,
it is given that
the park is modeled by the equation y = x − 1 .
On comparing with the slope intercept form ,
we get
the slope as 1 .
Since both the paths are perpendicular ,
the slope for Marcus path is -1 .
hence the equation of line with slope -1 and passing through the point (0,9) is y = (-1)x + c
9 = (-1)0 + c
9 = c
so equation is y = (-1)x + 9
So to find the point of intersection , we solve both the equations .
Substituting y = x − 1 in y = (-1)x + 9 ,
we get
x − 1 = (-1)x + 9
x - 1 = -x + 9
x + x = 9 + 1
2x = 10
x = 5
So, y = 5 - 1 = 4
the point of intersection is (5,4) .
Therefore , The Sarah's path and Marcus path will intersect at the point (5,4) .
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I need help with the question below please:A painter must thin some paint for use in a sprayer. If the recommended rate is 1/9 pint of water per gallon of paint, how many total gallons will there be after thinning 36 gallons of paint?
Answers
[tex]\begin{gathered} 1pt=0.125gal \\ \\ \\ \text{If }\frac{1}{9}pt\text{ of water is add to 1 gal of paint.} \\ \\ \\ 36\text{gal paint}\cdot\frac{1/9\text{ pt water}}{1gal\text{ paint}}=36\cdot\frac{1}{9}\text{pt water}=4pt\text{ water} \\ \\ \\ 4\text{ pints of water are added to 36 gallons of paint.} \\ \\ \text{Total gallons of paint:} \\ \text{Turn the pints to gallons:} \\ 4pt\cdot\frac{0.125\text{gal}}{1pt}=0.5gal \\ \\ \text{Total gallons of final paint:} \\ 36\text{gal}+0.5\text{gal}=36.5gal \end{gathered}[/tex]
A parabola can be drawn given a focus of (7,-3) and a directrix of y=-7. Write
the equation of the parabola in any form.
Answers
Y=8 and there it what is you are looking for your welcome
a newsletter publisher believes that more than 79y% of their readers own a laptop. is there sufficient evidence at the 0.020.02 level to substantiate the publisher's claim? state the null and alternative hypotheses for the above scenario.
Answers
The Null hypothesis will be expressed as u = 0.79 whereas the Alternative hypothesis will be expressed as. u > 0.79
The null hypothesis (H0) may be used to show that there exists no significant variation between variables or that a single variable is not different than its mean. While an alternative Hypothesis (Ha) is a theory that attempts to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. According to the question we can say that the
Null hypothesis (H0): u = 0.79
Alternative hypothesis (Ha): u > 0.79
Where u may be called as the proportion of their reader that owns a personal computer.
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Jane is selling handmade hair bows for $5.25 each. A woman came by to buy some for the girls in her daughter's girl scout troop. She spent $84. How many hairbows did she buy? Show Your Work
Answers
We know that each bow cost $5.25.
We also know that the woman spent a total of $84.
Lets call x the number of bows she bought.
Then, we can write:
[tex]\begin{gathered} 5.25\cdot x=84 \\ x=\frac{84}{5.25}=16 \end{gathered}[/tex]
The woman bought 16 bows.
Which brand of granola typically weighs more?
Brand A bags typically weigh more because the median of brand A is higher than that of brand B.
Brand B bags typically weigh more than brand A bags because there is a high outlier at 52.5.
Brand A bags typically weigh more than brand B bags because there are no outliers in the distribution.
Brand B bags typically weigh more because the range of weights is higher than that of brand A.
Answers
Brand A bags typically weigh more because the median of brand A is higher than that of brand B and is denoted as option A.
What is Median?
This is referred to as the middle value which separates the higher half from the lower half of a data or distribution. This is calculated by first ordering the numbers which could be from the lowest to highest or vice versa.
A data sample which has a higher figure as the median means that it has higher values present in the data distribution. This term provides an insight on certain properties of the values of the data which are given.
In this scenario, the median of brand A is higher than that of brand B which means that it has more weight and is therefore the reason why option A was chosen as the correct choice.
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A poster is
than
25 cm taller
it is wide. It is
mounted on a piece
of cardboard so
that there is a 5
cm border on all
sides.
If the
area of the border
alone is 1350 cm²,
what are the
dimensions of the
poster
Answers
The dimension are 75 * 50 i.e, Width = 50 cm , Length = 75 cm
Define Dimension
A measurable extent of a particular kind, such as length, breadth, depth, or height.
Let,
T = how taller the poster is
W = how wide the poster is
According to question given,
T = W + 25 ---eq(i)
The total height is calculated by multiplying the top border by 5 and the bottom border by 5. The entire height is then multiplied by the border's width, 5, times 2, so there are two tall sides. then multiplying by 5 times 2 widths.The equation looks like that,
5 * (2 (T + 10)) + 5 * (2 * W) = 1350
Now substitute the eq(i) value,
5 * (2 ((W + 25) + 10)) + 5 * (2 * W) = 1350
Now, solve for W,
5 * (2W +50 + 20) + 10W = 1350
10W + 5(70)+ 10W = 1350
20W + 350 = 1350
20W = 1350 - 350
20W = 1000
W = 1000/20
W = 50
Now, put the W value in eq(i)
T = 50 + 25
T = 75
Therefore, The dimension are 75 * 50 i.e, Width = 50 cm , Length = 75 cm
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Which set of points would NOT define a function? A) {(-2,-2), (-1,-1), (0, 0), (1, 1), (2, 2)} B) {(-2,9), (0, 1), (1,0), (3, 4), (4,9)} C) {(-1,0), (0, 1), (0, -1), (3, 2), (3,-2)} D) {(-6, 2), (-5, 1), (-4,0), (-3, 1), (-2, 2)}
Answers
In order to a set o points define a function, a value of x can't have two different values of y.
Looking at every option, we have in the option C that the value of x = 0 has two different values of y (1 and -1), therefore this set of points do not define a function.
So the answer is C.
Can anyone solve this, tommorow is my exam
Answers
Answer:
∠L = 113°∠O = 67°
Step-by-step explanation:
Given a transversal crossing parallel lines and supplementary angles (x+8°) and (2x-5°), you want to find the measures of angles L and O, supplementary to each of these.
Consecutive interior angles
Where a transversal crosses parallel lines, consecutive interior angles are supplementary. Using the given expressions, this means ...
(x +8°) +(2x -5°) = 180°
3x +3° = 180° . . . . . . . . . simplify
x +1° = 60° . . . . . . . divide by 3
x = 59° . . . . . . subtract 1°
Then the acute angle is ...
x+8° = 59° +8° = 67°
and the obtuse angle is ...
2x -5° = 2(59°) -5° = 113°
Relation to other angles
Angle L corresponds to angle (2x-5°), so is congruent:
∠L = 113°
Angle O is an alternate interior angle with respect to angle (x+8°), so is congruent:
∠O = 67°
There's still more, there's 3 parts I just can't see them until I have my answer
Answers
The cost of endless chicken wings at Restaurant X is $5. So cost equation for n chicken wings at Restaurant X is,
[tex]c=5[/tex]
The cost of chicken wings at Restaurant Z is 20 cents and $1.40 for sauce. So cost equation for Restaurant Z is,
[tex]\begin{gathered} c=\frac{20}{100}\cdot n+1.40 \\ =0.20n+1.40 \end{gathered}[/tex]
So answer is,
Restaurant X: c = 5
Restaurant Z: 0.20n + 1.40
(b)
Plot the system of equation on the graph.
(c)
The lines of two restaurant X and restaurant Z intersect each other at point (18,5). This means that restaurant X and restaurant Z has same cost 5 at n = 18. So both restanurant has same cost for 18 chicken wings.
Answer: 18
What values of x and y make △QRS≅△FDE?
Answers
2x = 2y + 8
X=y +4 (simplify)
6x = 10y - 20
6(y + 4) = 10y -20(substitute)
6y + 24 = 10y -20 (simplify)
44 = 4y
Y = 11
X = 15
The area of Eh Kri's rectangular backyard, in square feet, can be found using the expression 2(4x + 5y). Use the distributive property to write an equivalent expression for the area of Eh Kri's backyard.
Answers
The area of a rectangular backyard = 2(4x - 5y)
The algebraic expression has a equivalent expression as = 2 x 4x + 2 x 5y
= 8x + 10y
someone include steps if you can
Answers
Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,
No
Yes
Yes
How to check whether the value of x satisfies the equation?
To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.
Now solving the first part, x/4=20;x=5
So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.
Therefore, this is the incorrect value of x.
Now solving the second part, 1.5x-8=7;x=10
So, putting x=10 in equation 1.5*10-8= 15-8=7
It matches with the resultant.
Therefore, this is the correct value of x.
Now solving the third part, 4x+6=58; x=13
So, putting x=13 in equation 4(13)+6= 52+6=58
It matches with the resultant.
Therefore, this is the correct value of x.
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all you need is in the photo please answer fastplease
Answers
Answer:
The cost of cupcakes and cookies are;
[tex]\begin{gathered} \text{cupcakes = \$2.75} \\ \text{cookies = \$3.00} \end{gathered}[/tex]
Explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.
[tex]5x+2y=19.75-------1[/tex]
Two cupcakes and four cookies cost $17.50.
[tex]2x+4y=17.50-------2[/tex]
Let's solve the simultaneous equation by elimination;
multiply equation 1 by 2;
[tex]10x+4y=39.50-------3[/tex]
subtract equation 2 from equation 3;
[tex]\begin{gathered} 10x-2x+4y-4y=39.50-17.50 \\ 8x=22 \\ \text{divide both sides by 8;} \\ \frac{8x}{8}=\frac{22}{8} \\ x=2.75 \end{gathered}[/tex]
since we have the value of x, let substitute into equation 1 to get y;
[tex]\begin{gathered} 5x+2y=19.75 \\ 5(2.75)+2y=19.75 \\ 13.75+2y=19.75 \\ 2y=19.75-13.75 \\ 2y=6 \\ y=\frac{6}{2} \\ y=3.00 \end{gathered}[/tex]
Therefore, the cost of cupcakes and cookies are;
[tex]\begin{gathered} \text{cupcakes = \$2.75} \\ \text{cookies = \$3.00} \end{gathered}[/tex]
Use the appropriate compound interest formula to compute the balance in the account after the stated period of time
$19,000 is invested for 2 years with an APR of 4% and daily compounding.
Answers
Compound interest exists as the interest you gain on interest. The balance in the account after 2 years is $42266.
What is meant by compound interest?
Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.
'Compound interest' simply indicates earning interest on your savings, and also, eventually, on the interest that those savings earn.
The appropriate formula is
A = P(1 +r/n[tex])^{(nt)[/tex]
where P = 19,000, r = 0.4, n = 365, t = 2.
substitute the values in the above equation, we get
A = 19,000(1 +0.4/365[tex])^{(365 \times2)[/tex]
simplifying the above equation, we get
A = 42266.7592
The balance in the account after 2 years is $42266.
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What is the midpoint between (-3,-2) and (4-7)
Answers
The midpoint between the given figures are -2.5 and 5.5 respectively.
What is a midpoint ?
A midpoint is defined as that particular point that divides two separate figures into two equal halves or the centre of two endpoints on a number line.
That is;
point a + point b/2
The figures given are :
Point a = -3
Point b = -2
= -3 + -2/ 2
= -5/2
= -2.5
For points 4 and 7 ;
= 4 + 7 / 2
= 11/2
= 5.5
Therefore, the middle or midpoint of -3 and -2 is -2.5 and the midpoint for 4 and 7 is 5.5.
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what is the size of the angle between north west and south east?
Answers
Answer:
180°
Step-by-step explanation:Size of the angle between:North and South: 180°East and West: 180°North East and South West: 180°North West and South East: 180°North West and North East: 90°South West and South East: 90°