He had a taxable income of $-748.01 last year, which means he did not owe any federal income tax for the period.
What is simple interest?
The simple interest method, which always adds interest to the starting principal amount at the same rate for each time cycle, is a quick and easy way to calculate interest on money. Any bank where we deposit money will return our investment with interest. Simple interest is one of the several forms of interest that banks charge. Now, before going into any detail on the concept of fundamental curiosity,
The formula for simple interest is:
S = p*t*r/100
The part-time receptionist's taxable income would be calculated by deducting their exemptions and standard deduction from their gross income. The person's gross income was $9101.99. A $3650 exemption was requested by the person. They also qualified for a $5700 standard deduction.
We can figure out their taxable income by deducting the exemption and standard deduction from their gross income. $9101.99 - $3650 - $5700 = $-748.01 would be used to compute the taxable income.
Hence He had a taxable income of $-748.01 last year, which means he did not owe any federal income tax for the period.
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Pls find parallel and perpendicular skew
Answer:
parallel: CE and BF
perpendicular skew:CA
Step-by-step explanation:
Andi bought 1 hot dog and 2 sodas. The hotdog cost 1.99 and the total cost was $6.49. How much did each soda cost?
2. along the route of a bicycle race, water stations are evenly spaced between the start and finish lines, as shown in the figure below. there are also repair stations evenly spaced between the start and finish lines. the rd water station is located miles after the st repair station. how long is the race in miles?
The race is 40 miles long, since there are two repair and two water stations evenly spaced between the start and finish lines, and the third water station is located 8 miles after the first repair station.
The race is 40 miles long because the start and finish lines are 20 miles apart, and there are evenly spaced water and repair stations between them. The figure indicates that the first repair station is located at the start line, and the second repair station is 20 miles after the start line. The first water station is located 8 miles after the first repair station, and the second water station is located 16 miles after the second repair station. Therefore, the third water station is located 8 miles after the first repair station. Since there are two repair and two water stations evenly spaced between the start and finish lines, the race is 40 miles long.
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what percent of $90,000 is equal to $45,000
Answer:
50%
Step-by-step explanation:
50% = 0.5
$90000 times 0.5 = $45000
So, 50% of $90000 is equal to $45000
Answer: 50%
Hope this helps :)
Step-by-step explanation:
45,000 / 90,000 = .5 (50 out of 100)
45 * 2 = 90
find the difference using column method
a. 240040 - 67952
The difference using the column method is: 172,088.
What is the difference with the column method?The column method of subtraction simply deals with the arrangement of the figures in a column format. This can be done as follows:
240040
- 67952
172, 088
The above method employs the same logic of subtracting numbers but the only difference is the fact that the larger number is placed above the smaller number and the subtraction sign is placed somewhere besides the arrangement. When the subtraction is done, the number obtained is 172,088.
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Mr. Evans is giving a 28-question test that is made up of 2-point questions and 4-point questions. The entire test is worth 100 points. Let t represent the number of 2-point questions, and let f represent the number of 4-point questions.
The system of equations to find the number of each type of test is t + f = 28 and 2t + 4f = 100
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.
The slope intercept form of the linear equation is:
y = mx + b
where m is the slope and b is the initial value.
Let t represent the number of 2 point questions and f represent the number of 4 point question.
Mr. Evans is giving a 28-question test, hence
t + f = 28 (1)
The entire test is worth 100 points., therefore:
2t + 4f = 100 (2)
From both equations:
t = 6, f = 22
The test had 6 number of 2 point questions and 22 number of 4 point question.
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My answer is coming 84.. But actual answer will be 42 how.. Pls help
Answer:
that answer should be wrong?
Answer:
-84
Step-by-step explanation:
To simplify the expression 20^2 - 22^2, we'll first square both 20 and 22:
20^2 = 20 * 20 = 400
22^2 = 22 * 22 = 484
Now, we can substitute these values back into the original expression:
400 - 484 = -84
So 20^2 - 22^2 = -84.
Simplify——-
D.) 3/4 x 1/2
[tex] = \frac{3}{4} \times \frac{1}{2} \\ [/tex]
[tex] = \frac{3}{8} \\ [/tex]
The acties director of the Community Center is planning a skaiing event for all the students at the local middle school. There are several skating rinks in the area, but the director does not know which one to use. Skate Fest charges a fee of $200 plus $3 per skater, while Roller Rama charges $5 per skater.
The cost of the event at Skate Fest can be represented as 200 + 3x. The cost of the event at Roller Rama can be represented as 5x.
The cost of the event at Skate Fest can be represented by the mathematical expression 200 + 3x, where x is the number of students attending the event. This represents the fixed fee of $200 plus an additional $3 for each skater.
The cost of the event at Roller Rama can be represented by the mathematical expression 5x, where x is the number of students attending the event. This represents $5 per skater.
By comparing these two expressions, the director can determine which skating rink is more cost-effective based on the number of students attending the event.
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according to an article in a business publication, the average tenure of a u.s. worker is 4.6 years. formulate an appropriate one-sample test of hypothesis to test this belief
The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.
Hypothesis: The average tenure of U.S. workers is 4.6 years
Null Hypothesis: The average tenure of U.S. workers is not 4.6 years
Alternative Hypothesis: The average tenure of U.S. workers is 4.6 years
Test Statistic: One-sample t-test
Significance Level: α = 0.05
The purpose of this one-sample t-test is to determine whether the average tenure of U.S. workers is 4.6 years. The null hypothesis states that the average tenure of U.S. workers is not 4.6 years, while the alternative hypothesis states that the average is 4.6 years. The significance level for this test will be set at α = 0.05. The test statistic is a one-sample t-test, which is used to compare the mean of a sample to a known population mean. The results of this test will be used to determine if the average tenure of U.S. workers is significantly different from the stated 4.6 years. If the results are statistically significant, then we can reject the null hypothesis and conclude that the average tenure of U.S. workers is 4.6 years.
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PLS HELP
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation
the answer is
Pls help me with this w/ work (explanation)
Tysm!
Answer:
1. 62.8
2. 3.14
Step-by-step explanation:
It is important to note that the circumference formula is pi times 2 times radius. Radius for bigger circle is 10 so its circumference would be 62.8 (3.14 times 2 times 10) where was the radius for small circle is 31.4 (3.14 times 2 times 5) so subtract 31.4 from 62.8 and you get your answer.
if there's 20 students but only 14 cookies how can every student get one equally?
PLEASE HELP FAST
Since there are 20 students, and only 14 cookies, it is practically impossible for each student to get one whole cookie.
Further explanation on the cookie sharingIf there are 20 students and only 14 cookies, it is not possible for every student to get one cookie equally.
Dividing 14 cookies equally among 20 students means each student would get only 0.7 cookies, which is not possible since cookies are discrete objects.
In this scenario, the best solution would be to divide the 14 cookies as equally as possible among the 20 students, with some students getting one cookie and others getting none. This is known as an unequal distribution and is the fairest solution in such a scenario.
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A boy scored 60 marks for a science test and 75 marks for a mathematics test. What is the ratio of his science marks to his mathematics marks
The ratio of his science marks to his mathematics marks is 4/5 or 4:5
What are equivalent ratios?
The ratios that are same when compared are called equivalent ratios. The equivalentity of two or more ratios can be determined by comparing them to one another. For instance, 1:2 and 2:4 have the same ratio.
In general, the ratio of a to b is a/b
So,
The ratio of his science marks to his mathematics marks
=60/75
Divide both terms by 5
= 12/15
Divide both terms by 3
= 4/5
The ratio of his science marks to his mathematics marks is 4/5 or 4:5
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need help with this urgently
The quadratic function from the given graph is g(x)= -1/2 x². Therefore, option A is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given function is f(x)=x².
From the given figure, graph of f(x) is
Direction: Opens Up
Vertex: (0, 0)
Focus: (0, 1/4)
Axis of symmetry: x=0
Directrix: y= -1/4
Direction: Opens Up
Vertex: (0, 0)
Focus: (0, -1/2)
Axis of symmetry: x=0
Directrix: y=1/2
So, the function is g(x)= -1/2 x²
Therefore, option A is the correct answer.
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Given h(x) = -x+4, solve for x when h(x) =0
Answer:
When h(x)=0, x=4
Step-by-step explanation:
If: h(x)=-x+4
And: h(x)=0
—> We set the equation equal to 0
—> -x+4=0
X=4
Answer:
When h(x) = 0, x would equal 4.
Step-by-step explanation:
Since we know the h(x) function is h(x) = -x + 4, when we're looking for a specific value for the function, we can replace the h(x) with the value we are setting the function equal to. In this case, 0 would replace h(x), and we would have a simple algebraic equation: -x + 4 = 0. Now we can solve for x, which will be equal to -x + 4 = 0 ⇒ -x = -4 ⇒ x = 4. Therefore, when h(x) equals 0, x would be equivalent to 4.
Have a great day! Feel free to let me know if you have any more questions :)
what piece of information would have to be marked on the triangle to show congruence by the hl theorem
The piece of information which would have to be marked on the triangle to show congruence by the HL theorem is ac = dc which is denoted as option C.
What is HL theorem?It states that 'if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.'
In triangle ABC and triangle EDC, hypotenuses of triangles are AB and DE respectively.To use HL hypotenuse and one leg of triangles must be equal which means that :
AB = DE (hypotenuse)
AC = DC (leg)
This means that the additional information which will allow you to prove the triangles congruent by the HL Theorem is AC = DC.
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The full question is:
What additional information will allow you to prove the triangles congruent by the HL Theorem?
choices
A = E
bce= 90
ac = dc
ac=bd
Answer as you go through
1. Luis walks 5 km due cast and 8 km due north. How far is he from the
starting point?
a 89imo b. 164 kra c. 39 km
d. 25 km
de of a mihe given its surface area of 72 m2
Luis is 9.43 km from the starting point.
Let us assume that x represents the distance between the starting point and end point.
Let m be the east side distance and n be the northside diatnce.
Using Pythagoras theorem we find the distance between the starting point and end point i.e., the value of x.
x² = m² + n²
x = [tex]\sqrt{m^2+n^2}[/tex]
x = [tex]\sqrt{5^2+8^2}[/tex]
x = 9.43 km
Therefore, he is 9.43 km from the starting point.
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The complete question is:
Luis walks 5 kilometer due to east and 8 kilometer due to north. How far is he from the starting point?
How many different triangles can you make if you are given the measurements for 2 sides and a angle that is not between those sides?
Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
To specify the triangle, atleast one of the sides must be known and any other two property like side-angle, side-side, and angle-angle.
Th different triangles that can you make if three property of the triangle is known and one side must be known, will be one.
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In Emma's biology class, there are three tests, a project, and a final. Each test is worth 15% of her grade, the project is worth 10%, and the final is worth 20%. The rest of her grade is her homework score. Each grade is based on a 100-point scale.
Emma's scores:
Test 1: 71
Test 2: 75
Test 3: 79
Project: 85
Final: 80
Homework: 87
What is Emma's total score for the class?
(please show work, i need help figuring it out)
Emma's total test score for the class is 156.5 out of 100.
We can calculate Emma's total score by considering the weight of each component of her grade and adding them up.
First, we can find the total score from the three tests:
(71 + 75 + 79) * 0.15 * 3 = 101.55
Next, we can find the score from the project:
85 * 0.10 = 8.5
Next, we can find the score from the final:
80 * 0.20 = 16
Finally, we can find the score from the homework:
87 * 0.35 = 30.45
The total score is the sum of all these components:
101.55 + 8.5 + 16 + 30.45 = 156.5
So, Emma's total score for the class is 156.5 out of 100.
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in 2012 the number of graduating seniors taking the act exam was 1666809 in 1995 the total of 945477 graduating seniors took the exam. by what percent did the number increase over this period of time
The number increase by a percentage of 76.29 over the given period of time.
To calculate the percent increase, we need to find the difference between the two values and divide that by the original value, then multiply by 100 to express the answer as a percentage:
If in 1995, a total of 945477 graduating seniors took the exam, and in 2012, the number of graduating seniors taking the ACT exam was 1666809, then the percent increase from 1995 to 2012 is:
(1666809 - 945477) / 945477 = 0.7629 x 100 = 76.29%
Therefore, the number of graduating seniors taking the ACT exam increased by 76.29% between 1995 and 2012.
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yonni has a 5 gallon fish tank. he needs to change the water in the fish tank. how many cups of water will yonni need to replace all the water in the fish tank?
In linear equation, 80 cups of water will yonni need to replace all the water in the fish tank.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Now, as we know:
1 quart = 0.25 gallons
⇒ 4 pints = 1 gallons
⇒ 8 pints = 2 gallons
Also, 1 pint = 0.5 quart
⇒ 2 pints = 1 quarts
⇒ 8 pints = 4 quarts
⇒ 16 pints = 8 quarts
Again, 1 cup = 0.5 pint
⇒ 2 cup = 1 pint
⇒ 32 cup = 16 pints
so 16 * 5 = 80 cups
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What are the solutions to the equation cosine of the quantity x plus 3 times pi over 2 end quantity equals radical 2 over 2 on the interval [0, 2π]?
pi/4 , 3pi/4
5pi/4, 7pi/4
-pi/4, 3pi/4
3pi/4, 5pi.4
The solution to equation is sinx.
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
Given;
The equation cosine of the quantity x plus 3 times pi over 2
Using the expression for the cosine of a sum of angles:
cos(a + B): = cos a cos B - sin a sin ß
we have:
cos(x+3pi/2)
=cos(3pi/2)cosx- sin(3pi/2)sinx
=sinx
Therefore, the solution of trigonometric equation will be sinx
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Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall, in feet, is the other tree?
Answer:
4 feet
Step-by-step explanation:
I'll use ratios:
10 feet tall is to 5 foot shadow as x feet tall is to 2 foot shadow
or
10 / 5 = x /2 Multiply both sides of the equation by 2
20 / 5 = x = 4 feet tall
The height of other tree is 4 foot.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
10 feet tall cats a shadow of 5 foot.
let x feet casts a shadow of 2 foot.
Using proportion
10/ 5 = x / 2
2 = x/2
x = 4 feet.
Thus, the 4 feet tall tree casts a shadow of 2 foot.
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114 is what percent of 475?
Answer:
The answer is 24%
Step-by-step explanation:
Your welcome have a nice day!
Three equal cubes are placed adjacent to each other in a row. If side of a cube is 2 , then find the total surface area of the cuboid thus formed.
Total surface area of cuboid is 56 sq.units.
What is Total Surface Area?Total surface area is the total space covered by an object. It includes both top and bottom of an objects.
Let a be the side of the cube, a=2.
The cube with 2 units are placed adjacent to each other it forms cuboid.
The dimensions of cuboid are,
length, l = a + a + a ⇒ 2+2+2=6 units.
breadth, b = a=2 units.
height, h =a=2 units.
Total surface area of cuboid = 2(lb+bh+hl) sq. units
= 2(6*2+2*2+2*6)
= 56 sq.units.
Hence, the total surface area of the cuboid thus formed is 56 sq.units.
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Luke is 6 ft tall. He shoots a squirt gun through Alex's penthouse suite window which is 30 ft from the
ground (it must not be much of a penthouse!!). Luke is standing a horizontal distance of 50 feet from Alex's
building. What is the angle of elevation at which Luke shoots the squirt gun? Round to the nearest degree.
The angle of elevation at which Luke shoots the squirt gun is 25.641°
What is the angle of elevation?A frequently used idea in relation to height and distance is the angle of elevation, particularly in trigonometry. It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.
Given that, the height of Luke is 6 ft .
the height of squirt gun from the ground is 30ft.
So, the height of squirt gun from the Luke's eye is 30-6 = 24 ft
The horizontal distance of Luke from Alex's building is 50 feet .
Let the angle of elevation is θ.
tan θ = the height of squirt gun from the Luke's eye / The horizontal distance of Luke from Alex's building
tan θ = 24/50
tan θ = 0.48
θ = tan⁻¹ 0.48
θ = 25.641°
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think-large. Find AL,RA,RG, and KN.
Al=Blank
RA=Blank, RG=blank, KN=blank
KN is 6 units long, AL is 6 units long, AR is 10 units long, and RG is 4 units long.
What is line segment?A line segment is a section of a straight line that is bounded by two different end points and contains every point on the line between them. The Euclidean distance between the ends of a line segment determines its length. A line segment has endpoints, but a line can be extended forever on both ends. A line segment is a section of a line that links two places known as the line's endpoints. It is possible to measure the distance between two places. Because line segments have a fixed length, they may be used to create the sides of any polygon.
Here,
They are equal in ratio.
4/8=x/12
x=6 units
4/8=3/y
y=6 units
4/8=5/z
z=10 units
4/8=2/p
p=4 units
The length of line segment KN is 6 units, AL is 6 units, AR is 10 units and RG is 4 units.
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What rule would you allow to test weather (x,y) is on line l
Just evaluate the line in the values of the point and check if the equation is true or not.
What rule would you allow to test weather (x,y) is on line l?So let's say line l has an equaiton known:
y = a*x +b
To check if a point is on the line, just replace the values of the point on the line equation, if the equation is true, then that point belongs to the line, if don't, then the point does not belong to the line.
That is the only way to check that.
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some one solve this equation for me please 2x -1 < x + 2
Answer:
X < 3
Step-by-step explanation:
2x-1<x+2
2x - x < 2 + 1
X < 3