Answer:
1. $(x+0.03) - $x
2. $ 34.21
Step-by-step explanation:
Let the price of XYZ inc's share to be = $ x
On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)
New price of shares on Monday is = $ (x- 0.02)
On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)
New price on Tuesday = $( x+ 0.03)..............................................(a)
Change in price of one share of XYZ's stock= Price on Tuesday - price of share
= $(x+0.03) - $x..........................................(b)
2. Give that x= $34.18 solve equation (a) above
Price on Tuesday at close of business= $ (x+0.03)
= $ (34.18+0.03)
= $ 34.21
Miguel’s bank is offering savings accounts with 4% interest compounded continuously, If Miguel invests $500 how much will he have after 2 years
Answer:
After 2 years Miguel will have in his account $541.64
Step-by-step explanation:
The formula for calculating compound interest continuously is:
[tex]A=pe^{rt}[/tex]
Where A is the amount of money obtained after t years.
r is the compound interest rate and p is the initial amount
In this case we have that:
[tex]p=\$500\\\\t=2\ years\\\\r=0.04[/tex]
Then we must find the final amount A
[tex]A=500e^{0.04(2)}[/tex]
[tex]A=\$541.64[/tex]
If f(x)=0. 5(3-x), what is the value of f(-3)?
3
1. 5
0. 5
0
[tex]
f(x)=0.5(3-x) \\
f(-3)=0.5(3-(-3)) \\
f(-3)=0.5\cdot6 \\
f(-3)=3
[/tex]
Hope this helps.
r3t40
Kite DCFE is inscribed in circle A shown below: (the picture)
If the measure of arc DEF is 266°, what is the measure of ∠DEF? Only enter numeric answer. Do not enter any units.
Check the picture below.
let's recall that a circle has a total of 360°, so the arcDCF is 360 - 266 = 94, and is the intercepted arc by the inscribed ∡DEF.
What is the slope of a line that is perpendicular to the line represented by the equation y=-2/5x+4/5
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
recall for a line whose equation is
y = mx + b,
the slope of this line is m
the slope of a line that is perpendicular to this line is -[tex]\frac{1}{m}[/tex]
in this case,
m = -[tex]\frac{2}{5}[/tex]
hence -[tex]\frac{1}{m}[/tex]=[tex]\frac{5}{2}[/tex]
The slope of a line that is perpendicular to the line represented by the equation y = -2/5x + 4/5 is 5/2 .
What is the slope of a line perpendicular to a given line ?The slope of a line perpendicular to a given line is equal to the negative reciprocal of the slope of the given line.
Let the given line is y = mx + c , where the slope of the line is m and the y-intercept is c .
The slope of the line perpendicular to this given line is equal to -1/m .
How to find the slope of the given line ?Given equation of line is y = -2/5x + 4/5 .
The slope of the given line is -2/5 .
Thus, the slope of the line perpendicular to this given line is equal to
= -(-5/2) = 5/2 .
Therefore, the slope of a line that is perpendicular to the line represented by the equation y = -2/5x + 4/5 is 5/2 .
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Sally's total restaurant bill, including 10% tax and a $3 tip, came to $19.60. What percent tip did she leave the server? Round to nearest tenth
Step-by-step explanation:
[tex]19.60 - 3 = 16.60 \\ \frac{3}{16.60} = 0.2206 \\ 0.2206 \times 100 = 22.06\%[/tex]
What is the value of log^7343
Answer:
3.86 (or 3.9)
Step-by-step explanation:
There's a logarithm function on a graphing calculator
Samantha wants to use her savings of $1,150 to buy shirts and watches for her family. The total price of the shirts she bought was $84. The watches cost $99 each. Choose the inequality that would be used to solve for the maximum number of watches Samantha can buy with her savings.
A.99 + 84x ≤ 1,150
B. 99x + 84 ≥ 1,150
C.99x + 84 ≤ 1,150
D.99 + 84x ≥ 1,150
The required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality. Set of such values is called solution set to the considered equation or inequality.
Given;
The cost of the shirt she bought = $ 84,
And the cost of each watch she bought = $ 99,
Now Suppose she bought x watches,
So, the cost of x watches = 99x dollars,
Also, her total spending = 84 + 99x
Since she has a total budget of $1,150,
That is her spending can not be exceed $ 1,150, ( or spending must be less than or equal to $ 1150 )
⇒ 99x + 84 ≤ 1,150
Hence the required inequality would be 99x + 84 ≤ 1,150. so the correct option is C.
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Three times a number minus ten is equal to the sum of twice the same number and five. The equation below represents the situation. 3x - 10 = 2x + 5. What is the value of x? HELP FAST!!!!!!!!!!
write the expression in factored form. m^2-4
Answer:
(m-2)(m+2)
Step-by-step explanation:
a²-b²=(a-b)(a+b)
let m be a and 2 be b
m^2-2²=(m-2)(m+2)
For this case we must factor the following expression:
[tex]m ^ 2-4[/tex]
According to the formula of difference of squares we have:
[tex]a ^ 2-b ^ 2 = (a + b) (a-b)[/tex]
We have to:
[tex]a = m\\b = 2[/tex]
So, we have:
[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]
Answer:
The factored expression is:[tex]m ^ 2-4 = (m + 2) (m-2)[/tex]
In the literal equation below, what do C and F represent?
F = C + 32
Hi!
Let's take a look at the equation:
F = C + 32
What do we notice?
C and F are both variables.
Variables are unknown numbers represented by a letter.
In this case, C and F are the variables.
Hope this helps!
- Melanie
Need to find surface area please help
so the trapezoidal prism is really 4 rectangles and 2 isosceles trapezoids.
so we can simply get the area of each of those shapes and sum them up and that's the area of the prism.
[tex]\bf \stackrel{\stackrel{\textit{front and back}}{\textit{trapezoids}}}{2\left[ \cfrac{6(4+12)}{2} \right]}+\stackrel{\stackrel{\textit{left and right}}{\textit{rectangles}}}{2(6\cdot 6)}+\stackrel{\textit{top rectangle}}{(4\cdot 6)}+\stackrel{\textit{bottom rectangle}}{(6\cdot 12)} \\\\\\ 6(16)+72+24+72\implies 96+168\implies 264[/tex]
Samuel is in charge of ordering lunch..
Answer:
The correct answer is D.
The correct identity Samuel should use is: D. (20 x 6) + (4 x 6) = 24 x 6
To find the total cost of ordering 24 lunch specials at $6.00 each, Samuel needs to compute 24×6.
The distributive property states that:
a×(b+c) = (a×b)+(a×c)
In this problem, we can break down 24 into 20 and 4, and then apply the distributive property.
This gives us:
24×6 = (20+4)×6
= (20×6) + (4×6)
what is the explicit formula for this sequence? -7,-3,1,5
Answer:
[tex]a_{n}[/tex] = 4n - 11
Step-by-step explanation:
These are the terms of an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
d = - 3 - (- 7) = 1 - (- 3) = 5 - 1 = 4
and a₁ = - 7, hence
[tex]a_{n}[/tex] = - 7 + 4(n - 1) = - 7 + 4n - 4 = 4n - 11
The explicit formula for the arithmetic sequence -7,-3,1,5 is an = -7 + (n-1)(4), where n is the position of the term in the sequence.
The student is asking for the explicit formula of the sequence -7,-3,1,5. This is an arithmetic sequence, where each term increases by a constant difference. The common difference (d) can be found by subtracting any term from the following term; for instance, -3 - (-7) = 4. To find the explicit formula, we'll denote the first term of the sequence as a1 which is -7. The explicit formula for an arithmetic sequence is an = a1 + (n-1)d. Substituting our values in, we get an = -7 + (n-1)(4).
Write 60 as a product of prime factors in index form
Answer:
The prime factors of 60 are 2, 3, and 5.
NEED NOW!!!
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
Answer:
The first one: y - 2 = -5(x - 2)
Step-by-step explanation:
Answer:
the function y – 2 = –5(x – 2) is linear.
Step-by-step explanation:
We need to find the correct option from provided options which represents a linear function
Since, the linear equation is in the form of y=mx+c where m is slope of line.
In first part y – 2 = –5(x – 2)
Simplify, the function
[tex]y -2 = -5x + 10[/tex]
Add both the sides by 2, in above equation
[tex]y = -5x +12[/tex]
This function is in the form of y=mx+c
so, this is a linear function
In second part x + 7 = –4(x + 8)
Simplify, the function
[tex]x+7= -4x+32[/tex]
subtract both the sides by 7, in above expression
[tex]x= -4x+32-7[/tex]
[tex]x= -4x+25[/tex]
add both the sides by 4x,
[tex]x +4x= 25[/tex]
[tex]5x= 25[/tex]
divide both the sides by 5,
[tex]x =5[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In third part y – 3 = y(x + 4)
Simplify, the function
[tex]y-3= yx+4y[/tex]
add both the sides by 3,
[tex]y= yx+4y+3[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
In fourth part y + 9 = x(x - 1)
Simplify, the function
[tex]y+9= x^{2}-x[/tex]
subtract both the sides by 9,
[tex]y= x^{2}-x-9[/tex]
This is not in the form of y=mx+c
so, this is not a linear function
Therefore, the function y – 2 = –5(x – 2) is linear.
Find the area of a trapezoid with a height of 23, base 1 of 10 and base 2 of 18
please help me! asap thank you ill mark brainliest
8n + 12 +(-9) -(-6n)
12 + -9 = 12-9 = 3
8n - (-6n) = 8n + 6n = 14n
The equation becomes 14n + 3
Can someone please help me
Multiply by 28 for the ounces
1*28= 28
3*28=84
Divide by 28 for 140
140/28= 5
Answers:
84 grams
5 ounces
Alex, his two sisters, and his dad are going to a movie. Alex
and his sisters can get student tickets. Adult tickets are three
dollars more than student tickets. Which algebraic expression
represents how much Alex and his family will spend to go to
the movies?
What is the slope of the line graphed below ? (1,1) (3,2)
Answer:
[tex]m = \frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]\frac{2-1}{3-1}[/tex]
[tex]2-1 = 1\\ 3-1=2[/tex]
[tex]m = \frac{1}{2}[/tex]
For this case we have that by definition, the slope of a line is given by:
[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}[/tex]
We have two points through which the line passes:
[tex](x_ {1}, y_ {1}) :( 1,1)\\(x_ {2}, y_ {2}) :( 3,2)[/tex]
Substituting:
[tex]m = \frac {2-1} {3-1} = \frac {1} {2}[/tex]
Thus, the slope of the line is [tex]\frac {1} {2}[/tex]
Answer:
Option C
GIVING BRAINLIEST PLS HELP
Answer:
The first one: f(x) = 2
Step-by-step explanation:
In this case, we can see that for ALL values of 'x' the value of y=f(x) doesn't change, it's the same. That's why the function represented by the graph is f(x) = 2.
Answer:
f(x) =2
Step-by-step explanation:
Looking at the graph, the value of y does not change. y always equals 2
y=2
Since this is in function notation
f(x) =2
Question 1 of 10
Which of the following functions is graphed below?
The function that is graphed below is y = |x - 8| + 2.
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto-one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at the point (8, 2).
The function is defined as the absolute value of the difference between x and 8, plus 2.
When x is less than 8, the expression inside the absolute value bars, (x - 8), is negative, so the function becomes y = -(x - 8) + 2.
Simplifying this expression, we get y = -x + 10, which is the equation of a line with a slope of -1 and a y-intercept of 10.
This line goes downwards to the left of the vertex (8, 2).
When x is greater than 8, the expression inside the absolute value bars, (x - 8), is positive, so the function becomes y = (x - 8) + 2.
Simplifying this expression, we get y = x - 6, which is the equation of a line with a slope of 1 and a y-intercept of -6.
This line goes upwards to the right of the vertex (8, 2).
At the vertex (8, 2), the function takes the minimum value of 2.
Overall, the graph of the function y = |x - 8| + 2 is a V-shaped graph with the vertex at (8, 2), and two lines with slopes of -1 and 1 on either side of the vertex. The graph is symmetrical about the vertical line x = 8.
Thus,
The function that is graphed below is y = |x - 8| + 2.
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What is the value of x?
Answer:
139
Step-by-step explanation:
a pentagon has degrees that add up to 540 so considering youre given 401 degrees the remaining angle has to be 139
What is the y intercept of the line whose equation is y=1/x-3
Answer:
x-intercept: (1/3,0)
y-intercept: none
Answer:
-3
Hope this helps! Please mark as brainliest.
Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis
Answer:
A'(-2, -3) B'(0, -3) C'(-1, 1)
Step-by-step explanation:
change the signs for the Y coordinates because you are reflecting over the X-Axis. so 3 becomes -3, and -1 becomes 1. leave the X coordinates unchanged.
The reflection triangle ABC over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation
If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y).
The reflection of A(–2, 3), B(0, 3), and C(–1, –1) over the x axis is A'(–2, -3), B'(0, -3), and C'(–1, 1).
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Rational numbers are _____ natural numbers always sometimes never
Answer:
The correct answer would be B, Sometimes.
Step-by-step explanation:
Rational numbers are sometimes the natural numbers.
Rational numbers are the numbers that can be expressed as a quotient or fraction of two integers. Rational numbers can be in the form of decimals or natural numbers. Natural Numbers are the normal integers like 1, 2, 3, 4, etc. So the resulting numbers of any equation will give a rational number or a natural number. So it is so correct to say that rational numbers are sometimes the natural numbers.
Will mark brainiest, thank, and rate to the best answer!!
The table shows the number of blue marbles and red marbles that four friends have collected.
Which person has the lowest ratio of blue to red marbles?
Jasmine
Aaron
Lucian
Gretchen
Hola! My name is Zalgo and I am here to help you out today. So, let's observer everyone's ratio and if it can be simplified, we can simplify ti to make it easier. Jasmine has 12:10, Aaron has 3:2, Lucian has 10:10 and Gretchen has 14:2. If we simplify Jasmines, for every 6 blue, she has 5 red (6:5). Lucian has an equal ration if we simplify it (1:1) and Gretchen would have 7 blue for every 1 red (7:1). So, the person with the lowest ration would be Lucian.
I hope that this helps! :3
"Stay Brainly and stay proud!" - Zalgo
(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Gracias! XT)
Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have data shown in the table:
For Jasmine, the ratio of blue to red marbles:
12:10
6:5
For Aaron, the ratio of blue to red marbles:
3:2
For Lucian, the ratio of blue to red marbles:
10:10
1:1
For Gretchen, the ratio of blue to red marbles:
14:2
7:1
Thus, Lucian has the lowest ratio of blue to red marbles which is 1:1 option third "Lucian" is the correct choice.
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Find the length of the missing side. Round answers to the nearest tenth (one decimal).
Right triangle with base=6.3 mi and hypotenuse=15.4 mi
Answer:
14.1 mi
Step-by-step explanation:
Use pythagorean theorem (a^2 + b^2 = c^2)
a = base
b = side
c = hypontenuse
then just plug the numbers into the formula -----> 6.3^2 + b^2 = 15.4^2
then subtract 6.3^2 from both sides ----> b^2 = 15.4^2 - 6.3^2
solve ------> b^2 = 197.47
Square root both sides and you get b = 14.1 mi as your answer
Answer:
14.1
Step-by-step explanation:
What are the length and width of a rectangle if
the length is 10 meters longer than the width and the
area is 56 square meters?
Answer:
4 is the width, 14 is the length
State a true conclusion. 1) If a ● b = 0, then a = 0 or b = 0 2) 3x = 0 Conclusion:
Answer:
Conclusion: x = 0
Step-by-step explanation:
given: If a ● b = 0, then a = 0 or b = 0
then for 3x = 0, either 3 = 0 (not possible because 3 is obviously not zero) or x = 0 (answer)