Prior to the current period, Benjamin Rubinek, whose tax return filing status is single, had earnings subject to Medicare tax of $199,500. During the current week, Benjamin has gross earnings of $2,900, and he requests that 7% of gross earnings be contributed to a 403(b) plan. Benjamin's employer will withhold $ in Additional Medicare Tax for this period.
Benjamin's employer will withhold $42.05 in Additional Medicare Tax for this period.
How much will be withheld by the Medicare Tax?To calculate the amount withheld by Benjamin's employer in Medicare tax, we apply the proportion of the Medicare tax to his total earnings.
The parameters for this problem are given as follows:
Medicare Rate: 2.9%, however, only 1.45% of this is withheld by the employee.Benjamin's weekly earnings: $2,900.Then the amount withheld by the employee for the Medicare Tax is calculated with the multiplication of the decimal equivalent of 1.45%, which is of 0.0145, by Benjamin's gross earnings of $2,900 as follows:
Amount = 0.0145 x 2900 = $42.05.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
In the United States about 7% of the male population and about 0.4% of the female population is red-green color blind ( that is they cannot distinguish red from green, or see red and green differently from how others do). The population in the United States consist of about 49% males and 51% females. A person is randomly selected.
Let M be the event that the person is male, let F be the event that the person is female, let CB be the event that the person is red-green color blind, and let NC be the event that the person is not red-green color blind
A. Find P(CB \mid M)
B. Find P(CB \cap M)
C. Find P(CB)
Find P(M \mid CB)
Ans (A) P(CB/M) is 0.07
Ans (B) P(CB ∩ M) is 0.0343
Ans (C) P(CB) is 0.03634
Ans (D) P(M/CB) is 0.94386
Let the population be 100.
Therefore,
No. of males (M) = 49
No. of females (F) = 51
No. of colourblind males =
[tex]\frac{7}{100} * 49 = \frac{343}{100} = 3.43[/tex]
No. of colourblind females =
[tex]\frac{0.4}{51} * 100 = 0.204[/tex]
Total colourblind people (CB) = 3.43 + 0.204 = 3.634
Ans (A)
P(CB/M) = P(CB ∩ M)/P(M) = 3.43/49 = 0.07
Ans (B)
P (CB ∩ M) = 3.43/100 = 0.0343
Ans (C)
P(CB) = 3.634/100 = 0.03634
Ans (D)
P (M/CB) = P(M ∩ CB)/P(CB) = 3.43/3.634 = 0.94386
These are the answers.
To learn more about conditional probability,
brainly.com/question/27684587
#SPJ4
Let Y1 and Y2 be independent random variables, both uniformly distributed on (0, 1). Find the probability density function for U = Y1Y2.
The probability density function as calculated from the given data is fₙ (u)=−ln(u).
Y1 and Y2 are independent random variables and both have uniform distribution over the interval (0,1)(0,1).
We need to find out the density function of U = Y1Y2 using the method of transformations.
Density function of Y1
= 0 or 1
Density function of Y2
= 0 or 1
Therefore joint density function is,
( 0 , 1) where, 0≤y 1 ≤1,0≤y 2 ≤1
There are 3 steps to find joint density function of Y and U using methods of transformations
Hence, the required probability density function is :
fₙ (u)=−ln(u)
An independent random variable is one that has no effect on the other random variables in your experiment. In other words, it has no bearing on the likelihood of another occurrence occurring.
To learn more about independent random variables
https://brainly.com/question/28464931
#SPJ4
I’ve been struggling on this question please help ASAP <333
PLEASE HELP !!!!!! The time between a flash of lightning and the sound of its thunder can be used to estimate the distance from a lightning strike. The distance from the strike is the number of seconds between seeing the flash and hearing the thunder divided by 5. Suppose you are 17 miles from a lightning strike. Write and solve an equation to find how many seconds there would be between the flash and thunder.
Answer:
Step-by-step explanation:
12.5663706144
the median is defined as: multiple choice question. the value of the observation that occurs most frequently the arithmetic mean of the values of a set of data the midpoint of the values after they have been arranged in rank order the average of the largest and the smallest value in a data set
The median is defined as the midpoint of the values after they have been arranged in rank. Option B
What is median?Median is simply defined as the middle value of a given sorted list of numbers or data set.
It is seen as the value that separates the higher half from the lower half of a given data sample, a probability distribution or a population.
For a data set, it is also called "the middle" value.
It also involves ordering the data set or a group of numbers in an ascending order, that is, from least to greater number.
The media is selected from picking the number in the midpoint for an even set of data which does not always occur.
In an odd group of data, after ordering the number from the least to the greatest, the two mid-numbers are taken, added and divided by half to determine the median.
Hence, the median is the midpoint of a set of ordered data.
Learn more about median here:
https://brainly.com/question/14532771
#SPJ1
HW9.4. Algebraic and geometric multiplicity of eigenvalues Observe that -1 is an eigenvalue of A= [-1.00 0.00 1.00 1.00 0.00 0.00 0.00 1.00 -2.00 Determine the algebraic and geometric multiplicity of this eigenvalue of A. Algebraic multiplicity integer Geometric multiplicity integer
The value of algebraic multiplicity will be 1 and geometric multiplicity will be 1
[tex]$$\begin{aligned}& A=\left[\begin{array}{ccc}3 & -2 & 0 \\-2 & 4 & 4 \\1 & 0 & 2\end{array}\right] \\& \Rightarrow A=\left[\begin{array}{ccc}-1 & 1 & 0 \\0 & 0 & 0 \\1 & 1 & -2\end{array}\right]\end{aligned}$$[/tex]
[tex]$$Det(A-\lambda I) = Det A=\left[\begin{array}{ccc}(-1-\lambda) & 1 & 0 \\0 & -\lambda & 0 \\1 & 1 & (-2-\lambda)\end{array}\right]$$[/tex]
[tex]$$-(1+\lambda)\left|\begin{array}{cc}-\lambda & 0 \\1 & -2-\lambda\end{array}\right|-1\left|\begin{array}{cc}0 & 0 \\1 & -2-\lambda\end{array}\right|$$[/tex]
[tex]$$\begin{aligned}& =-(1+\lambda)\left(\lambda^2+2 \lambda\right) . \\& =-\lambda(1+\lambda)(\lambda+2) .\end{aligned}$$[/tex]
So, for [tex]\lambda=-1[/tex], eigen values are [tex]\lambda[/tex]=0,-1,-2.
Hence, the value of algebraic multiplicity=1
[tex]AV=\lambda v \\& \Rightarrow A V=-V\\ \Rightarrow-V_1+V_2=-V_1\\ \Rightarrow V_2=0 \\& v_1+v_2-2 v_3=-v_3\\ \Rightarrow v_1+v_2-v_3=0\\ \Rightarrow v_1=v_3 \\[/tex]
[tex]$$\begin{aligned}& \Rightarrow \quad\left[\begin{array}{l}v_1 \\0 \\v_1\end{array}\right] \\& =v_1\left[\begin{array}{l}1 \\0 \\1\end{array}\right]\end{aligned}$$[/tex]
So, the value of eigen vectors are: [tex]& =\left[\begin{array}{l}1 \\ 0 \\ 1\end{array}\right] \\[/tex]
And the value of geometric multiplicity =1
For more questions on Geometric and algebraic multiplicity:
https://brainly.com/question/29584270
#SPJ4
Your family ate a delicious meal at Jimmies of Savin Rock. The meal itself cost $147.25, you want to leave 20% tip and there was 7.35% tax added
Answer:
27.29 honestly this is a wild guess
Step-by-step explanation:
7.35% of 147.25 = 10.82
147.25-10.82=136.43
20% of 136.43 = 27.286(27.29)
URGENT! Please help with the image attached!
The missing angle in the parallel lines is as follows;
m∠STW = 125 degreesHow to find the angles when parallel line are cut by a transversal?When parallel lines are cut by a transversal, angle relationships are formed such as corresponding angles, alternate interior angles, alternate exterior angles, linear angles, vertically opposite angles etc.
Therefore, let find angle m∠STW .
VX and SU are parallel lines. RY is the transversal line.
Hence,
m∠VWY = 125 degrees
m∠VWY = m∠STW (corresponding angles)
Corresponding angles are congruent to each other.
Therefore.
m∠STW = 125 degrees
learn more on angles here: https://brainly.com/question/18359073
#SPJ1
The cost of a plumber consists of two parts: the fixed costs and the hourly rate.
One piece of work takes the plumber 5 hours and costs £155.
Another piece of work takes the plumber 8 hours and costs £230.
(a) i) What is the fixed cost of the plumber?
ii) What is the hourly rate for the plumber?
The fixed cost of the plumber is £30 and the hourly rate for the plumber is £25.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given information in the question,
Let the fixed cost of a plumber is y.
Let the number of hours of work done be x.
As per the first condition, that one piece of work takes the plumber 5 hours and costs £155.
Then, the equation according to the statement will be,
y + 5x = £155 (i)
In the second condition, another piece of work takes the plumber 8 hours and costs £230.
Then, the equation according to the statement will be,
y + 8x = £230 (ii)
Now, subtract equation (ii) from the equation for the value of x,
y + 5x = £155
y + 8x = £230
-3x = -75
x = £25
Put x = £25 in equation (i)
y + 5x = £155
y + 5(25) = 155
y = 155 - 125
y = £30.
To know more about equation:
https://brainly.com/question/29657983
#SPJ1
Choose the number that is greater than:
4.526 x 10^6
OA) 5.79 x 105
OB) 9.99 x 105
OC) 4.123 x 106
OD) 55,264,900
Answer: C) 4.123 x 106
Step-by-step explanation:
Please help will mark Brainly
Answer:
Below
Step-by-step explanation:
The first set of graphs is the correct one....it shows Y = constant 18
and shows Z as starting at 10 (deposit) THEN INCREASING 2 per hour....
where they cross is 4 hours and charges are the same
To find the slope of a curve at a given point, we simply differentiate the equation of the curve and find the first derivative of the curve, i.e., dy/dx.
To find the slope of the curve, first differentiate the equation of the curve and substitute the value of x in the result
The slope of the curve is the change in y coordinates with respect to the change in x coordinates of the line
To find the slope of the curve at a given point
First differentiate the given equation of the curve with respect to x
That is dy / dx.
The derivative of the equation of the curve is the slope of the curve.
In next step substitute the value of x in the slope of the curve
The result will be the slope of the curve at a given point
Therefore, these are the steps to find the slope of the curve
I have answered the question in general, as the given question is incomplete
The complete question is:
How to find the slope of a curve at a given point?
Learn more about slope of the curve here
brainly.com/question/4748565
#SPJ4
Which functions have a vertex with a x-value of 0? Select three options.
Of(x) = |x|
f(x) = x + 3
f(x) = 1x + 31
f(x) = 1x1-6
Of(x) = x + 31-6
The functions that have a vertex at x = 0 are (a) f(x) = |x| and (d) f(x) = |x| - 6
How to determine the function from the vertexFrom the question, we have the following parameters that can be used in our computation:
The absolute functions in the options
As a general rule;
A absolute functions can be represented as
f(x) = a|x - h| + k
Where
Vertex = (h, k)
A vertex that has x value of 0 means
(h, k) = (0, k)
So, we have
f(x) = a|x - 0| + k
Evaluate
f(x) = a|x| + k
Looking at the options, we have
f(x) = |x| and f(x) = |x| - 6
Read more about absolute functions at
https://brainly.com/question/10538556
#SPJ1
Which of the following statements are always true? A) If f(t) is increasing, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt. B) If f(t) is concave up, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
(A) If f(t) is increasing, it's not true that the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
(B) f(t) is concave up, its' not true that the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
Left-Hand Sums and Right-Hand Sums give us different approximations of the area under a curve. If one sum gives us an overestimate and the other an underestimate, then we can hone in on what the actual area under the curve might be. Any left-hand sum will be an under-estimate of the area of R. Since f is increasing, a left-hand sum will use the smallest value of f on each sub-interval. This means any left-hand sum will fail to cover all of R and any right-hand sum will be an over-estimate of the area of R. Since f is increasing, a right-hand sum will use the largest value of f on each sub-interval. This means any right-hand sum will cover R and then some.
A) If f(t) is increasing then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt, if the graph is increasing then the left-hand sum gives an overestimated value of the actual value.
B) If f(t) is concave up, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt, if the graph is concave up then the trapezoid approximation is an overestimate, and the midpoint is underestimated.
So, If f(t) is increasing, it's not true that the left-hand sum gives an overestimate of the integral from a to b of f(t)dt. and if f(t) is concave up, its' not true that the left-hand sum gives an overestimate of the integral from a to b of f(t)dt.
To learn more about right and left-hand sums visit: brainly.com/question/29673931
#SPJ4
Parallel and Perpendicular lines Block
By observing the figure we can make the pairs as
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
What are opposite angles and Alternate angles?
Opposite angles are angles that are located opposite each other, with respect to a straight line or a transversal. They are also called vertically opposite angles.
Alternate angles are angles that are located on opposite sides of the transversal and on the same side of the straight line or the transversal. They are also called corresponding angles.
In the given figure,
By observing the opposite angles and alternate angles we can fill the blocks,
∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)
Hence, we have found the opposite angles and alternate angles from the figure.
To learn more about opposite angles and alternate angles, visit:
https://brainly.com/question/26167358
#SPJ1
Consider the drawing and information below. The drawing is NOT to scale.
1.What is m < 2 show work and calculations.
2. What is m < 4 show your work and calculations.
Answer:
m∠2 = 110°
m∠4 = 110°
Step-by-step explanation:
Corresponding Angles Postulate
When a straight line intersects two parallel straight lines, the resulting corresponding angles are congruent.
Vertical Angles Theorem
When two straight lines intersect, the opposite vertical angles are congruent.
Transitive Property of Equality
If any angles are congruent to the same angle, then they are congruent to each other.
--------------------------------------------------------------------------------------
As line p is parallel to line q, according to the Corresponding Angles Postulate:
⇒ m∠2 = m∠10
According to the Vertical Angles Theorem:
⇒ m∠10 = m∠13
According to the Transitive Property of Equality:
⇒ m∠2 = m∠13
Therefore:
⇒ 8x + 14 = 10x - 10
⇒ 8x + 14 - 8x = 10x - 10 - 8x
⇒ 14 = 2x - 10
⇒ 14 + 10 = 2x - 10 + 10
⇒ 24 = 2x
⇒ 2x = 24
⇒ 2x ÷ 2 = 24 ÷ 2
⇒ x = 12
Substitute the found value of x into the expression for the measure of angle 2:
⇒ m∠2 = 8(12) + 14
⇒ m∠2 = 96 + 14
⇒ m∠2 = 110°
--------------------------------------------------------------------------------------
As line p is parallel to line q, according to the Corresponding Angles Postulate:
⇒ m∠12 = m∠4
⇒ 15y + 5 = 13y + 19
⇒ 15y + 5 - 13y = 13y + 19 - 13y
⇒ 2y + 5 = 19
⇒ 2y + 5 - 5 = 19 - 5
⇒ 2y = 14
⇒ 2y ÷ 2 = 14 ÷ 2
⇒ y = 7
Substitute the found value of y into the expression for the measure of angle 4:
⇒ m∠4 = 13(7) + 19
⇒ m∠4 = 91 + 19
⇒ m∠4 = 110°
A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the model:
Salary = β0 +β1 Service + ε. The following ANOVA table below shows a portion of the regression results.
df SS MS F
Regression 1 555,420 555,420 7.64
Residual 27 1,962,873 72,699 Total 28 2,518,293 Coefficients Standard Error t-stat p-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
Which of the following is the monthly salary of an employee that has worked for 48 months at the bank?
rev: 11_17_2017_QC_CS-109762
$441.
$785.
$1,050.
$1,226.
The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.
The given table is:
Df SS MS F
Regression 1 555,420 555,420 7.64
Residual 27 1,962,873 72,699
Total 28 2,518,293
Coefficients Standard Error t-stat p-value
Intercept 784.92 322.25 2.44 0.02
Service 9.19 3.20 2.87 0.01
We have to find the monthly salary of an employee that has worked for 48 months at the bank.
Salary = β(0)+ β(1) Service
y = β(0)+ β(1)x
where, Service = x(in months)
Service = y(in $)
From the table
y = 784.92+9.19x
If x=48 months
Then, y = 784.92+9.19(48)
y = 784.92+441.12
y = 1226.04
Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.
To learn more about t statistic link is here
brainly.com/question/15236063
#SPJ4
A recipe uses 1 1/4 cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?
Answer:
what we cookin ma boi
Step-by-step explanation:
A set of data items is normally distributed with a mean of 300 and a standard deviation of 60. Why’d the data item in this distribution that corresponds to the given z-score
Z= 2.5
The data item that corresponds to the z-score of 2.5 is 450.
What is Standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.
A random variable, sample, statistical population, data set, or probability distribution's standard deviation is equal to the square root of its variance. Although less robust in practice, it is algebraically easier than the average absolute deviation. The fact that the standard deviation is expressed in the same unit as the data, as opposed to the variance, makes it a valuable statistic.
As, x = z×s + u, where z=2.5, s=60, u=300
⇒ x = 2.5×60 + 300
⇒ x = 150 + 300
⇒ x = 450
The data item that corresponds to the given z-score is 450.
To know more about standard deviation visit:
brainly.com/question/23907081
#SPJ1
order the following pair of numbers using <,>or=:-12 _-|12|
Answer:
-12 _ -|12|
(-12) = (-12)
Thus, Both are equal
Evaluate the function when x = 3, x = 0, and x = -4. (Lesson 4.8)
14. f(x) = -4x + 3
12. h(x) = − 8x
13. g(x) = 5x - 9
16. h(x) = 1.4x
15. g(x)=-3x - 12
17. f(x) = 1/4x
12-17 please
Information for Questions 5-7: The Annual Survey of Colleges in the U.S. also reports on the average amount of student loan debt by state. The most recent data by state showed an approximately normal shape with a minimum average amount of
$19,000
and a maximum average amount of
$38,000
. Use the minimum and maximum value and the normal shape to estimate the mean and standard deviation of the data for the 50 states. (Mean and standard deviation have been rounded to the nearest
$100
.) a. mean
=$25,000;
standard deviation
=$3,500
b. mean
=$26,800;
standard deviation
=$2,100
c. mean
=$26,800;
standard deviation
=$3,700
d. mean
=$28.500;
standard deviation
=$1,800
e. mean
=$28,500;
standard deviation
=$3,200
A federal study of student loan debt plans to focus on those states with the highest amounts of student loan debt. The study plans on targeting those states that fall in the top
2.5%
in terms of average student loan amounts. What is the cutoff point that would place a state in the top
2.5%
based on student loan debt? (Use the mean and standard deviation estimates from Question #5.) a.
$38,100
b.
$34,900
c.
$31,700
d.
$32,500
e.
$22,100
The correct answer is $34900.
X : Average amount of loan of student debt by state .
X = N ( μ = $28500 , σ² = ( 3200 )² )
To find : What is the cutoff point that would place a state in top 2.5%
Let it be X
P( X > x ) = 0.025
P(X-μ/σ > X - 28500/3200) = 0.025
P(z >Z ) = 0.025
1 - P(z<Z ) = 0.025
P(z<Z ) = 0.975
φ(z) = 0.975
Z = φ⁻¹(0.975)
X - 28500/3200 = 1.96
X = 34772
i.e; P(X > 34772) = 0.025
Since, it is nearly equal to $34900 option b is correct.
To learn more about cutoff point click here:
brainly.com/question/29031557
#SPJ4
. Cell Phone Models A particular cell phone company
offers 4 models of phones, each in 6 different colors and
each available with any one of 5 calling plans. Howy
many combinations are possible?
:C
120 many combinations are possible.
What is combination formula?The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.
Consider a collection of three integers P, Q, and R. The number of ways that we may choose two numbers from each group is thus determined by combination.
It is represented as: [tex]^nC_r[/tex]
where, n = total number of objects in the set
r = number of choosing objects from the set
Given that,
Cell Phone Models A particular cell phone company offers:
4 models of phones
each in 6 different colors
each available with any one of 5 calling plans
Thus, possible combination numbers are:
= (No. of models) × (No. of colors) × (No. of calling plans)
= (4)× (6)× (5)
= 120 possibilities
To know more about combinations refer to:
https://brainly.com/question/28065038
#SPJ1
you are designing a rectangular wooden box with width 4 inches greater than its height, and length 3 times its height. the box has wood that is 1 inch thick on each side of the four sides on the top and bottom. a. write a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.
O (x) = [tex]3x^{3} + 12x^{2}[/tex] is a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box
what is polynomial function ?Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable)
calculation
outside length are height = x
width = x +4 , length = 3x
volume = l *b * h
o(x) = 3x ( x+ 4 )x
= 3[tex]x^{2}[/tex](x+4 )
= O (x) = [tex]3x^{3} + 12x^{2}[/tex]
there is 1 inch of wood , so lengths of inner sides 2 inch less than outer sides as 1 inch from reduced
length = 3x-2
width = x +4-2 = x+2
height = x -2
volume = l*b*h
=[tex]3x^{3} - 2x^{2} - 12x + 8[/tex]
w(x) = [tex]14(6^{2}) + 12(6) -8\\ 504 + 72 -8 \\568inch^{3}[/tex]
so volume of wood = [tex]568inch^{3}[/tex] for x =6
O (x) = [tex]3x^{3} + 12x^{2}[/tex] is a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.
To know more about polynomial function visit :-
https://brainly.com/question/12976257
#SPJ4
subtract and reduce to lowest terms
Answer:
Below
Step-by-step explanation:
To add or subtract fractions ( or numbers with fractions in them) you HAVE to put the fractions into a common denominator form .....
Common denominator for 5 and 7 is 35
3 3/7 = 120/35
2 1/5 = 77/35
120/35 - 77/35 = ( 120 - 77) / 35 = 43/35 = 1 8/35
geometry midterm coming up and i need help on similar figures.
A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
By Pythagoras' theorem,
(20)²+(48)²=x²
400+2304=x²
2704=x²
x=52
As we know, area of a triangle = 1/2 × b×h
480= 1/2× 52 ×h
h=2×480/52
h= 18.46 = BD
What is geometry?
Geometry with arithmetic is one of the oldest branches of mathematics. It deals with spatial properties such as distance, shape, size, and relative position of shapes. Mathematicians working in the field of geometry are called geometers.
Until the 19th century, geometry was mostly devoted to Euclidean geometry, which included the concepts of point, line, plane, distance, angle, area, and curve as basic concepts.
In the 19th century, several discoveries dramatically expanded the scope of geometry. One of the oldest discoveries of this kind is Carl Friedrich Gauss's Theorem Egregium ("Remarkable Theorem"), which loosely asserts that the Gaussian curvature of a surface is independent of any particular embedding in Euclidean space. I'm here. This meant that surfaces could be studied intrinsically, i.e., as spaces themselves, and extended to manifold theory and Riemannian geometry.
Therefore, A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted triangle ABC.
To know more about geometry, visit:
https://brainly.com/question/24375372
#SPJ1
Katy has 5 white flowers, x red flowers and (2x+1) yellow flowers.
She picks a flower at random.
The probability that it is white is 1/12
Find the probability that it is yellow.
Answer:
5/12
Step-by-step explanation:
Total 12 flowers
5 are white
12-5=7
red + yellow = 7
x+2x+1 = 7
3x+1=7
3x=6
x=2
white : 5
red : 2
yellow : 5
12 flowers in total, 5 yellow flowers, probability that yellow is picked is 5/12
Need answers for all parts.
(a) The balance be at the end of the year is $502.53.
(b) The Effective annual interest rate is 0.5%.
(c) The Effective annual interest rate must be less than 6%.
What is effective annual interest rate?
The percentage of interest on a loan or financial product that would apply if compound interest built up over a year without any payments would be called the effective interest rate, also known as the effective annual interest rate, annual equivalent rate, or simply effective rate.
Given:
P = $500, n = 12, r = 0.5% = 0.005, t = 1
So, the balance be at the end of year is,
[tex]A = P(1+\frac{r}{n})^n^t \\A = 500(1+\frac{0.005}{12})^1^2^*^1 \\A = 500(1.00042)^1^2\\A = 502.53[/tex]
Now to find the effective annual interest rate,
Effective annual interest rate = [tex]= (1+\frac{r}{n})^n-1 = (1+\frac{0.005}{12})^1^2 - 1= 0.005[/tex]
Effective annual interest rate = 0.5%
So, the Effective annual interest rate must be less than 6%.
Hence,
(a) The balance be at the end of the year is $502.53.
(b) The Effective annual interest rate is 0.5%.
(c) The Effective annual interest rate must be less than 6%.
To know more about the Effective annual interest rate, click on the link
https://brainly.com/question/18234486
#SPJ1
HELPP!!!!! HURRY!!!! Function g(x) = |x − 9| is a transformation of function f(x) = |x|. What effect does the value 9 have on the graph of function f? A. It translates the graph 9 units to the left. B. It translates the graph 9 units to the right. C. It vertically compresses the graph by a factor of 9. D. It vertically stretches the graph by a factor of 9.
Answer:
C
Step-by-step explanation:
Answer:
B: It translates the graph 9 units to the right.
Step-by-step explanation:
The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.
Therefore, the correct answer is B: It translates the graph 9 units to the right.
