Answer:776
Step-by-step explanation:
77
Brianna earned a total of approximately $400,652 over the 5 years.
What is an expression?A grouping of variables, symbols, and/or numbers used to represent a mathematical quantity or relationship is known as an expression in mathematics. Expressions might be straightforward with just one number or variable or complex with many terms, operations, and functions.
To find the total amount of money Brianna earned over 5 years, we need to calculate her salary for each of the 5 years and add them up.
In the first year, Brianna's salary was $77,000.
In the second year, her salary increased by 2%, so it became:
$77,000 + 0.02 x $77,000 = $78,540
In the third year, her salary increased by another 2%, so it became:
$78,540 + 0.02 x $78,540 = $80,106.80
In the fourth year, her salary increased by 2% again, so it became:
$80,106.80 + 0.02 x $80,106.80 = $81,700.94
In the fifth and final year, her salary increased by 2% once again, so it became:
$81,700.94 + 0.02 x $81,700.94 = $83,303.11
To find the total amount of money Brianna earned over the 5 years, we just need to add up her salaries from each year:
$77,000 + $78,540 + $80,106.80 + $81,700.94 + $83,303.11 = $400,651.85
Therefore, Brianna earned a total of approximately $400,652 over the 5 years.
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a sector of a circle with radius 21cm has an area of 280cm², find the perimeter of the sector.
Answer:
26.67 cm
Step-by-step explanation:
Area of a sector
A = πr² x θ/360°280 = 22/7 x 21 x 21 x θ/360°280 = 22 x 3 x 21 x θ/360°40 = 22 x 9 x θ/360°40 = 22 x θ/40°1600 = 22 x θθ = 1600/22 = 800/11 = 72.7°Finding Perimeter (Arc Length)
2πr x θ/360°2 x 22/7 x 21 x 800/11 x 1/3602 x 22 x 3 x 800 x 1/11 x 1/360132/11 x 800/36012 x 20/912/9 x 204/3 x 2080/326.67 cmSelect the two values of x that are roots of this equation.
x2 - 5x+ 3 = 0
-
A. X
5+ 13
=
N
IB=
B. x = 5+y87
37
2
O
C.
5 - 13
X =
2
D. X =
5 - 37
N
Answer:
A. and C.
Step-by-step explanation:
1. Plug in the values of a, b, and c into the quadratic formula:
[tex]x= \frac{-(-5)+-\sqrt{(-5)^{2}-4(1)(3) } }{2(1)}[/tex]
2. Solve the sqaure root:
[tex]x= \frac{-(-5)+-\sqrt{25-12} }{2(1)} \\\\x =\frac{-(-5)+-\sqrt{13} }{2(1)}[/tex]
3. Simplify the rest:
[tex]x=\frac{5+-\sqrt{13} }{2}[/tex]
4. Separate the solutions:
[tex]x= \frac{5+\sqrt{13} }{2} , x= \frac{5-\sqrt{13} }{2}[/tex]
A and C represent these solutions, therefore they are the anwsers.
hope this helps!
The median value is what?
Answer:
Median = 45
Step-by-step explanation:
It's the 5 number summary.
[tex]min = 23[/tex]
[tex]q1 = 32[/tex]
[tex]median = 45[/tex]
[tex]q3 = 66[/tex]
[tex]max = 77[/tex]
what is the y-intercept of the line given by the equation y=8x +75?
Answer:
(0, 75)
Step-by-step explanation:
The y-intercept is the y-coordinate of a function when x is equal to 0. In other words, it is the point at which the function crosses the y-axis.
For the equation y = 8x + 75, you plug in x = 0 to get:
y = 8(0) + 75 = 75, meaning that y = 75 when x = 0.
This gives you the y-intercept (0, 75).
Work out the circumference of this circle with radius 7.5cm
Answer:
47.12 cm
Step-by-step explanation:
C=2πr
2·π·7.5≈47.12389cm
Round: 47.12
Answer: 47.1
Step-by-step explanation:
The formula is 2*[tex]\pi[/tex]*7.5.
so it would be 2*3.14*7.5 witch equals to 47.1
what does x equal
18 ÷ x = -2
-9
9
-6
-8
x=-9
Solution:18÷x=-2Multiply both sides by x18=-2x-2x=18Now, divide both sides by -2:x=-9Hope it helps.
Do comment if you have any query.
Answer:
The answer is -9
Step-by-step explanation:
I hope this helps!
18/-9=-2
ILL GIVE BRAINIEST FOR THE RIGHT ANSWER!!! PLS HELP
Answer:
Your answer would be 96vw^7/x
Step-by-step explanation:
0.96w^7v/x
I'm pretty sure this is the right anwser I hope this helps.
What is the initial y-value of the function that models the relationship
between the points (3, 0) and (8, 35)
A: -21
B: -11
C: -3/7
D: -2/7
The solution is Option A.
The equation of line is y = 7x - 21 and the initial y value of the function is given by y = -21
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P = P ( 3 , 0 )
Let the second point be Q = Q ( 8 , 35 )
Now , the slope of the line between the points is given by the formula
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 35 - 0 ) / ( 8 - 3 )
Slope m = 35/5
Slope m = 7
Now , the equation of line is given by the formula ,
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 0 = 7 ( x - 3 )
y = 7x - 21
Now , the initial value of y is calculated when x = 0
So , substituting the value of x = 0 in the equation , we get
y = 7 ( 0 ) - 21
y = -21
Therefore , the initial value of y = -21
Hence , the equation of line is y = 7x - 21
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x is 50% more than y. Write down a ratio in the form of y:x .
Answer:
2 : 3
Step-by-step explanation:
if x = 3, y = 2
The difference : x - y = 3 - 2 = 1
represents for "y":
[tex]\frac{1}{y}(100) =\frac{1}{2} (100)=50[/tex]%
Hope this helps
A cell phone company expects that every 2 out of 25 cell phones will have some form of defect. At this rate, how many cell phones out of 500 will be expected to have a defect?
Answer:
40 phones
Step-by-step explanation:
The company expects that every 2 out of 25 phones will have some form of defect.
In percentage terms, this is:= 2 / 25 * 100%= 8%If there are 500 phones therefore,
the defected phones would still be the same percentage and the actual number would be:= 8 % * 500= 40 phones
Find the zeros of the function p(x) = -9x^2 + 1
Step-by-step explanation:
zeroes = x intercept.
to find the x intercept we let y or in this case p(x) = 0
Hence,
-9x^2 + 1 = 0
-9x^2 = -1
x^2 = 1/9
x = 1/3
x = -1/3
John has a bag of different colored marbles. He has 6 red marbles, 3 blue marbles, 7 yellow marbles, and 5 green marbles. If John reaches into the bag and randomly pulls out a marble, what is the probability that the marble will be blue? (If necessary, round to the nearest tenth.) (as a percent please!!)
Answer:
P(blue) ≈ 14.3%
Step-by-step explanation:
probability P is calculated as
P = ( favourable outcome ) ÷ ( total number of possible outcomes )
here favourable outcome is blue of which there are 3
number of possible outcomes is the total = 6 + 3 + 7 + 5 = 21
P(blue) = [tex]\frac{3}{21}[/tex] = [tex]\frac{1}{7}[/tex]
to convert to a percentage multiply the fraction by 100%
P (blue) = [tex]\frac{1}{7}[/tex] × 100% = 100% ÷ 7 ≈ 14.3% ( to the nearest tenth )
Answer:
14.3%
Step-by-step explanation:
What is the value of x so that the mean is 5. 7, x, 5, 3, 2
Answer:
8
Step-by-step explanation:
The 'mean' is the same as the 'average'
( 7 + x + 5 + 3 + 2) / 5 = 5
7+x+5+3+2 = 25
x = 8
Help please I need help with 15,16,17,18
Struggling with this (Also hoping my school doesnt find this since they know some of us are using brainly)
Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
The parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
(d) opens the same; wider
Step-by-step explanation:
Multiplying a function by a constant has the effect of vertically scaling the graph of the function by a factor equal to that constant.
__
Here, you're multiplying by 2/3, so each y-value is 2/3 of its previous distance from the x-axis. The effect on the graph of a parabola is to make it "flatter", hence wider in appearance. This does not change the direction in which it opens.
The attachment shows an example.
A triangle with side lengths of 200 meters, 300 meters, and 250 meters is shown. a surveyor measures the lengths of the sides of a triangular plot of land. what is the measure of the angle of the triangular plot at which the surveyor stands? approximate to the nearest degree. cos–1(0.75) = 41° cos–1(0.125) = 83° cos–1(0.563) = 56° cos–1(0.15) = 89°
The angle of the triangular plot at which the surveyor stands is 83°
What is a triangle?A triangle is a shape with three sides and three angles. From the information given, the sides of the three angles are different, we can say the triangle is a scalene triangle since no sides are equal.
To determine the angle of the triangular plot at which the surveyor stands, we need to use the cosine formula.
Given that:
a = 300 mb = 250 mc = 200 mLet's assume that the angle at which the surveyor stands is ∠A, then:
[tex]\mathbf{a^2= b^2+c^2-2 bc \times Cos A}[/tex]
Making cos A the subject, we have:
[tex]\mathbf{cos \ A = \dfrac{ b^2+c^2-a^2}{2bc}}[/tex]
[tex]\mathbf{cos \ A = \dfrac{ 250^2+200^2-300^2}{2(250 \times 200)}}[/tex]
[tex]\mathbf{cos \ A = 0.125}[/tex]
A = cos⁻¹ (0.125) ≅ 83°
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Answer:
cos–1(0.125) = 83°
Step-by-step explanation:
Points and their residual values are shown in the table. a 3-column table with 5 rows. the first column is labeled x with entries 1, 2, 3, 4, 5. the second column is labeled y with entries 2, 3.5, 5, 6.1, 8. the third column is labeled residual value with entries negative 0.4, 0.7, negative 0.2, negative 0.6. which residual value is the farthest from the line of best fit? 0.19 0.7 2 8
The residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
What is residual value?The residual value is the estimated value which is calculated for the end of the lease terms for a fixed asset.
Points and their residual values are shown in the table. A 3-column table with 5 rows.
x 1, 2, 3, 4, 5. y 2, 3.5, 5, 6.1, 8.Residual Value -0.4, 0.7, -0.2, -0.6 0The simple regression line can be represented as,
[tex]\hat y=\alpha +\beta X+\hat e[/tex]
Here α is the constant, β is the slope and e is the residue.
The point which is farthest from the best fit of the line is 3.5. At y=3.5, the value of residue is 0.7.
Thus, the residual value, which is the farthest from the line of best fit for the table which shows points and their residual values, is 0.7.
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Answer:
0.7
Step-by-step explanation:
edge
Find an angle θ coterminal to -575∘, where 0∘≤,θ,<360∘
What is the area, in square inches, of the figure shown here?
A 15 in2
B 22 in2
C 24 in2
D 30 in2
I need help with this, all answers please?
What is the value of x?
Х
6
8
Answer:
10
Step-by-step explanation:
This is a right triangle. To find the hypotenuse in this right triangle, we can use the pythagorean theorem.
The Pythagorean Theorem states a^2+b^2=c^2.
In this case, we would plug this in and get 6^2+8^2=x^2
Solve, and get 100=x^2, x=10
Instruction. Read the situation below and answer the following questions.
You have noticed that because of the pandemic, cycling became popular again
as it became one of the means of transportation for many especially those who
lost their jobs and it became a hobby for some. You became a fan of cycling due
to its influence, so you decided to build your own Mountain bike. You have many
choices to make. First, you must choose the color of your bike from 4 colors (red,
blue, orange, black), second is the seat either normal or with extra cushion and
the last is the handlebar if you want to have a straight one or a curve.
Using the fundamental counting principle, count the number of choices you have
in building your mountain bike?
Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the color, there are 4 outcomes, hence [tex]n_1 = 4[/tex].For the seat, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the handebar, there are 2 outcomes, hence [tex]n_3 = 2[/tex].Thus, the total number of choices is given by:
N = 4 x 2 x 2 = 16.
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Find the value of x.
x = 10
x = 25
x = 11
x = 21
Answer:
[tex]21[/tex]
Step-by-step explanation:
the answer is 21 because the chords of the circle are both equal.Please do help with my math problem.
Answer:
y = (1/4)x + 20
Step-by-step explanation:
The general equation of a line is
y = mx+ b , where m is the slope of the line and b is the y-intercept of the line ( where the line intersects the vertical y-axis)
From the graph we can see that the line intersects the y-axis at 20, so our y- intercept is b = 20
Now will find the slope of the line, and for that we need any two points from the line.
For example let's pick points ( x1= 0, y1 = 20) and ( x2 = 4, y2 = 21)
the slope m = (y2-y1)/(x2-x1) = (21-20)/ (4-0) = 1/4
slope of the line is m = 1/4
The equation of the graph shown in the graph is
y = (1/4)x + 20
The surface area S of a cylinder is S = 2πr² + 2πrh where r is the base radius and h is the height. What is h, in inches, when S is 175 square inches and r is 6 inches?
Answer:
h = -1.356
Step-by-step explanation:
Remark
This is one of those questions where you could solve for h in the formula and then just put values in for all the other variables. Since you have posted this on Brainly, I'll just use the formula given and my last step will be one of division
Formula
S = 2 * pi * r^2 + 2 * pi * r * h Put the givens into the formula
Givens
S = 175 in^2
pi = 3.14
r = 6
h = ?
Solution
175 = 2 * 3.14 * 6^2 + 2 * 3.14 * 6 * h Combine
175 = 226.08 + 37.68*h Subtract 226.08 from both sides
175-226.08 = 37.68*h Combine
-51.08 = 37,68*h Divide by 37.68
h = - 51.08/37.68
h = -1.356
Comment
This is impossible. No value of measurement can be negative. But it is what you get when using the numbers given
Vladimir rolls a six-sided number cube 36 times. if getting a 3 is a success, what is the probability of a success? one-sixth one-third two-thirds five-sixths
Answer: A
Step-by-step explanation:
which of the segments below is a radius?
Answer:
OZ
Step-by-step explanation:
radius goes from the circle center point, outward.
Answer: OZ, OK, OG
Step-by-step explanation: each of these segments have a connection directly from the center of the circle to the edge of the circle
What is the length of the diagonal of the rectangle?
Answer:
Length of diagonal of the rectangle is 21.25 units.Step-by-step explanation:
Here we are given Length of the rectangle 17 and Width 12.75. To find length of the diagonal of the rectangle we will substitute the value of length and width in required formula:
We know that,
[tex] \\ \: \: \dashrightarrow \: \: { \underline{ \boxed{ \pink{ \pmb{\mathfrak {Diagonal = \sqrt {(Length)^2 + (Width)^2 }}}}}}} \\ \\ [/tex]
Substituting the required values:
[tex] \\ \: \: \dashrightarrow\sf \: \: Diagonal = {\sqrt{(17)^2 + (12.75)^2}} \\ \\ [/tex]
[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{289 + 162.5625} \\ \\ [/tex]
[tex]\: \: \dashrightarrow\sf \: \: Diagonal = \sqrt{451.5625} \\ \\ [/tex]
[tex]\: \: \dashrightarrow \: \: \pink {\underline{ \boxed{ \pmb{\frak {Diagonal = 21.25}}}}} \\ \\ [/tex]
Hence,
Length of diagonal of the rectangle is 21.25 units.Step-by-step explanation:
Given :-
Length of rectangle = 17 unit width of rectangle = 12.75 unitTo find :-
⇝ Diagonal of rectangle
Solution :-
Formula for finding length of rectangle =
[tex] \sqrt{(length) {}^{2} + (width) {}^{2} } [/tex]
putting the known values ,
[tex] \sqrt{(17) {}^{2} + (12.75) {}^{2} } [/tex]
[tex] \sqrt{289 + 162.5625} [/tex]
[tex] \sqrt{451.5625} [/tex]
[tex]21.25 \: unit[/tex]
A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound. which equation represents the cost, in dollars, of shipping a package that weighs x pounds?
The equation is 6(2x-1), where X is more than 0. When a shipping company charges $6 to ship a package that weighs up to 1 pound.
What is the equation?
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A shipping company charges $6 to ship a package that weighs up to 1 pound and $2 for each additional pound or portion of a pound.
lets make an assumption that the total weight of the shipment is x pound and cost for shipping is y.
the shipping company charges $6 for the first pound.
Up to now, the charge is y=6
After 1 pound, i.e for the remaining (x-1) pounds, they charge $2 per pound.
So, the total charge will be, y=6+2(x-1)
weight is always starting from zero as there is no negative weight.so X>0
so the equation is 6(2x-1), where X is more than 0
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Which statement is not true about the data set shown?