Evaluate the expression if s=6 t=5. (4s+t)
s=6 t=5. (4s+t)
4(6)+5
24+5
29
eduardo contributes 16% of his $82,400 annual salary to his 401(k) plan. what is his pre-tax income?
Eduardo's pre-tax income is calculated as: $69,216.
How to find the pre-tax income?To find Eduardo's pre-tax income, we need to first calculate how much he contributes to his 401(k) plan.
We know that he contributes 16% of his $82,400 annual salary, so:
16% of $82,400 = 0.16 * $82,400
= $13,184
This means that Eduardo contributes $13,184 to his 401(k) plan each year. To find his pre-tax income, we need to subtract this amount from his annual salary:
$82,400 - $13,184 = $69,216
Therefore, Eduardo's pre-tax income is $69,216.
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Final answer:
Eduardo's pre-tax income is his annual salary of $82,400. His 401(k) contribution is 16% of this amount, but it does not reduce his pre-tax income.
Explanation:
Eduardo’s pre-tax income is the total amount he earns before any deductions such as his 401(k) contributions. Since he contributes 16% of his $82,400 annual salary to his 401(k) plan, we calculate the contribution amount and then affirm that it is part of his pre-tax income, which is the full $82,400. To find the contribution amount, we use the formula:
Contribution = (Percentage / 100) × Salary
Contribution = (16 / 100) × $82,400
Contribution = 0.16 × $82,400
Contribution = $13,184
Hence, Eduardo’s pre-tax income remains $82,400 for the year, not the amount after the contribution is subtracted.
What is the percent increase from 13 to 14
Hello there. And welcome to brainly.
The answer to this question is ≈7.69%
Hope this helped! And have a great day. ♥~
Researchers find that there are 189 raccoons on an island. When they return a year later, they find that there are 473. What is the annual population growth rate for the raccoons?
Final answer:
The annual population growth rate for the raccoons is calculated using the formula which involves subtracting the initial population from the final population, dividing by the initial population, and then multiplying by 100%. The growth rate is approximately 150.26%.
Explanation:
To calculate the annual population growth rate for the raccoons, we use the following formula:
Growth Rate = (Final Population - Initial Population) ÷ Initial Population × 100%
Initial Population = 189 raccoons
Final Population = 473 raccoons
Plugging in the values we get:
Growth Rate = (473 - 189) ÷ 189 × 100%
Growth Rate = 284 ÷ 189 × 100%
Growth Rate ≈ 150.26%
Therefore, the annual population growth rate for the raccoons is approximately 150.26%.
Zoe has 2 ten-dollar bills, 4 one-dollar bills, 3 quarters, 5 dimes, and 8 pennies. How much money does she have?
This problem is essentially testing those how to read and how to pay attention to detail. The best way to approach this is to make a list.
If we break it down slowly, We see that we have 2 $10. This means $20. 4 $1 bills is equal to $4. 3 quarters is equal to $0.75. 5 dimes is equal to $0.50, and 8 pennies is equal to $0.08. If we make a list, we can easily add them together as so:
20+4+.75+.5+.08.
The total amount of money Zoe has is: $25.33
Find the product!!!!!!!
Hello there!
[tex]-\frac{2}{9}*\frac{1}{5}[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓
First you had to multiply by the fractions.
[tex]-\frac{2*1}{9*5}[/tex]
Then you had to multiply by the numbers.
[tex]2*1=2[/tex]
[tex]-\frac{2}{9*5}[/tex]
You can also multiply by the numbers again.
[tex]=-\frac{2}{45}[/tex]
Answer⇒⇒⇒⇒⇒⇒=-2/45
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Find the linear equations written in standard form. Select all that apply. x + y = –1 –3x = y
x + 4y = 0
y = 5x – 2
x = 3 – 0.1y
8x – 3y = 20
Answer:
Doing the assignment got all right answers x + y = –1, x + 4y = 0, 8x – 3y = 20
Step-by-step explanation:
The linear equations written in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Standard form of a linear equation is, Ax + By = C, where A, B and C are integers.
We have to select all the linear equations which are of the form as given above.
x + y = -1 is in standard form, where A = 1, B = 1 and C = -1
x + 4y = 0 is in standard form, where A = 1, B = 4 and C = 0
8x – 3y = 20 is in standard form, where A = 8, B = -3 and C = 20
Other equations –3x = y, y = 5x – 2 and x = 3 – 0.1y are not in the standard form.
Hence the equations in the standard form are x + y = -1, x + 4y = 0 and 8x – 3y = 20.
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A rotation is shown in the drawing:
Which statement best describes the rotation?
A) clockwise 90-degree rotation
B) clockwise 270-degree rotation
C) Counterclockwise 90-degree rotation
D) Counterclockwise 270-degree rotation
The answer is B
We are going from figure X to figure X', it is rotating more than 90 degrees so it must be 270, and it is rotating to the right so it is clockwise
Why hello there
Your answer will be B
In th epicture we can see that Figure X moved clockwise in a 270 degree angle.
If my answer helped please mark me as brainliest and have the best day ever!
What is the explicit formula for this sequence? −8, −3, 2, 7, …
It's an arithmetical sequence with [tex]a_1=-8,d=5[/tex]
So
[tex]a_n=a_1+(n-1)d\\\\a_n=-8+(n-1)\cdot5\\\\a_n=-8+5n-5\\\\\boxed{a_n=5n-13}[/tex]
Consider the algebraic expression:
-z-7y+18x+4
Which of the follow is a constant in this expression?
Which of the following lists all the coefficients in this expression?
Answer:
Which of the following is a constant in this expression?
✔ 4
Which of the following lists all the coefficients in this expression?
✔ -1, -7, 18
What is 1 7/8 times 5/6
[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]
Hope this helps!!!
plz answer this question
A.) 1.3968253968254
B.) 8.75
C.)1.94
D.)2.962962962963
help solve this algebra problem please!
Answer:
a) (1, 109)
Step-by-step explanation:
Step 1: We need to graph the function f(x) = 3x^2 +1 from the interval (-4 to 6) on the x-axis
Step 2: Graph the function f(x) = 6, which is a horizontal line. From the interval [6, 9)
The range is nothing but the y - values.
The y values start from 1 and ends 109 at the interval -4 to 9
Here with I have attached the graph. Please have a look at it.
Thank you.
Find the slope of each line. y–2x=3 HELP
Answer:
Step-by-step explanation:
First, you will add 2x for both sides.
y - 2x = 3
+2x +2x
Then, you will get y = 2x + 3
So the slope will be 2
An Uber fare in Columbus is $3.50 for the first ½ mile and additional mileage charged at a rate of $0.30 for each additional 0.1 mile. You plan to give the driver a $2 tip. How many miles can you ride for $15? Please show or explain your calculations.please i need help on this.
Answer:
[tex]\frac{11}{3}[/tex] miles
Step-by-step explanation:
Let the total miles traveled be x.
Now, for the first 0.5 miles total charge is = $3.50
Then, the remaining distance to be traveled[tex]=(x-0.5)[/tex] miles
For each additional 0.1 mile, the additional charge is $0.30
So, for [tex](x-0.5)[/tex] miles, the total additional charge will be[tex]=\frac{0.3}{0.1}(x-0.5) =3(x-0.5)[/tex]
Then, including the $2 tip, the total fare will be[tex]=3.50+3(x-0.5)+2[/tex]
Now, given that total fare is $15, so,
[tex]3.50+3(x-0.5)+2=15\\3.50+3x-1.5+2=15\\3x+4=15\\3x=11\\x=\frac{11}{3}[/tex]miles
Let's assume, total number of miles traveled after the first 0.5 mile are x.
For 0.1 mile, the cost is $0.30
[tex]0.1\times 10 = 1 mile[/tex]
Hence, for 10 miles, cost is
[tex]0.30\times 10 = 3[/tex] dollars
Total amount incurred = $ 3.50 (fixed cost) + 3x (cost per mile) + 2( tip)
He gave a total of $ 15, hence
[tex]15=3.50+3x+2[/tex]
[tex]9.5=3x[/tex]
[tex]x=\frac{95}{30} =\frac{19}{6}[/tex] miles
Total miles traveled = [tex]\frac{19}{6} +\frac{1}{2}[/tex] =[tex]\frac{11}{3}[/tex] miles
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before tip?
The answer is:
4.50*0.18= 0.81
$4.50 × 18% ≈ 0.81
Echy~
Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR
need help with this math
Hi,
Here is the solution.
3 years = 36 months
Leased amount for 3 years = $3000 + 36*350
= $3000 + $12600
Leased amount for 3 years = $15600
Residual value = $12000
Assume you didn't buy the car, you took it for lease, so your expense = $15600.
Now Assume you bought the car for $21,000.
After using 3 years, you can sell it for $12000.
Your expense = $21,000 - $12,000 = $9000.
Conclusion:
It is less expensive to buy the car.
The cost for buying the car and selling it after 3 years = $9000.
Hope you will understand the steps. Thank you :)
what is the equation of the following graph in vertex form? HELP PLS
Answer:
y = (x - 2)^2 + 1
Step-by-step explanation:
The general equation of a parabola in vertex form is y-k = (x-h)^2. Here, we can see immediately from the graph that the vertex is at (2, 1). Thus, the equation of this particular parabola takes the form y - 1 = a(x - 2)^2. We must still determine the value of a. Note that the graph goes through (0, 5). Thus, 5 - 1 = a(0 - 2)^2, or
4 = 4a. Thus, a = 1, and the equation of this parabola is y - 1 = (x - 2)^2, or, after simplification, y = (x - 2)^2 + 1.
What value of x makes the equation true?
12(4x−5)+52=10
Answer:
5
Step-by-step explanation:
took k12 test
I need to solve V=KT/P for K... Help!
Hello there!
[tex]V=KT/P[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓
First you had to switch sides of the equation.
[tex]k\frac{t}{p}=v[/tex]
Then you multiply by p from both sides of the equation.
[tex]k\frac{t}{p}p=VP; P\neq0[/tex]
Simplify
[tex]tk=vp; p\neq0[/tex]
Divide by t from both sides of the equation.
[tex]\frac{tk}{t}=\frac{vp}{t}; P\neq0, T\neq0[/tex]
Simplify it should be the correct answer.
[tex]K=\frac{VP}{T}; P\neq0, T\neq0[/tex]
Answer⇒⇒⇒⇒K=VP/T; P≠0, and T≠0
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
At 3:00 PM a man 138 cm tall casts a shadow 148 cm long. At the same time, a tall building nearby casts a shadow 199 m long. How tall is the building?
To find the height of the building, we can use the concept of similar triangles and set up a proportion. Substituting the given values and solving for x, we find the height of the building to be approximately 186.5 meters.
Explanation:To find the height of the building, we can use the concept of similar triangles. Let's set up a proportion using the man's height and shadow length, and the building's height and shadow length. We have:
(Man's Height)/(Man's Shadow Length) = Building's Height/(Building's Shadow Length)
Substituting the given values, we have:
(138 cm)/(148 cm) = x/(199 m)
Cross-multiplying and solving for x, we find the height of the building to be approximately 186.5 meters.
Please need help on this not even sure on this
This is a rotation of 180° so (x, y) → (-x, -y)
The signs of the coordinates changed.
Answer: B
Luis se comió 5/12 de los pasteles y Antonio 3/12 de los mismos. ¿Que fracción de los pasteles se comieron?
*(Respuesta)* = [tex]\frac{8}{12}[/tex]
* (Explicación) * = El motivo por el que necesita agregar [tex]\frac{5}{12}[/tex] a [tex]\frac{3}{12}[/tex].
Espero que esto ayude
Persona que respondió: BangtanBoyScouts
Identify the name for the pair of angles
Answer:
Alternate exterior angles
======================================================
Step-by-step explanation:
The parallel lines are like the metal parts of a train track, so I'll just refer to these lines as "train tracks" from now on. Note how x and y are on the outside or exterior of the train tracks. At the same time, they are on opposite or alternate sides of the transversal line.
Since x and y are on the alternate sides of the tranversal line, and they are on the exterior of the train tracks, we have alternate exterior angles
solve -3x+4= -(3x-14)
Answer:
There is no solution
Which linear system of equations does the matrix represent
M=[874]
[205]
The given matrix M = [874], [205] corresponds to the linear system of equations x = 874 and x = 205.
Explanation:The given matrix M = [874], [205] represents a linear system of equations with one variable. Since the matrix has two elements arranged in a column, it represents two equations, each with one unknown variable. The system of equations that the matrix represents is as follows:
x = 874
x = 205
Here, x represents the unknown variable.
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The midpoint of BC is (5, -2). One endpoint is B (3,4). What are the coordinates of endpoint C?
Let the midpoint of [tex]BC[/tex] be [tex]M(x_{_M};~y_{_M})[/tex].
Then [tex]x_{_M}=\dfrac{x_{_B}+x_{_C}}{2}[/tex] and [tex]y_{_M}=\dfrac{y_{_B}+y_{_C}}{2}[/tex].
We are given [tex]x_{_M}=5, y_{_M}=-2[/tex] and [tex]x_{_B}=3, y_{_B}=4[/tex].
[tex]5=\dfrac{3+x_{_C}}{2}\Rightarrow x_{_C}=7\medskip\\{-2}=\dfrac{4+y_{_C}}{2}\Rightarrow y_{_C}=-8[/tex]
[tex]C(7;-8)[/tex]
Answer:
The coordinates of endpoint C are (7,-8).
Step-by-step explanation:
Given information: Midpoint of BC is (5, -2) and B(3,4).
We need to find the coordinates of C.
Let the coordinate of C are (x,y).
If end points of a line segment are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the midpoint of that segment is
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Midpoint of BC is
[tex]Midpoint=(\frac{3+x}{2},\frac{4+y}{2})[/tex]
Midpoint of BC is (5,-2).
[tex](5,-2)=(\frac{3+x}{2},\frac{4+y}{2})[/tex]
On comparing both sides.
[tex]5=\frac{3+x}{2}[/tex]
[tex]10=3+x[/tex]
[tex]10-3=x[/tex]
[tex]7=x[/tex]
The value of x is 7.
[tex]-2=\frac{4+y}{2}[/tex]
[tex]-4=4+y[/tex]
[tex]-4-4=y[/tex]
[tex]-8=y[/tex]
The value of y is -8.
Therefore the coordinates of endpoint C are (7,-8).
if (6^0)^x=1 what are the possible values of x
Roberto has a sample of an unknown liquid. The label in the bottle of the sample indicates that the liquid has a mass of 117 grams and a volume of 15 cubic centimeters. What is the liquid in the bottle? gasoline milk water mercury
Answer:
It is Milk
Step-by-step explanation:
The liquid in the bottle has mass given in grams and the mass of that substance is 117 grams.
The volume of the substance is 15 cubic centimeters.
Now, using the formula of density we can estimate which substance could it be.
[tex]d=\frac{m}{v}[/tex], where 'd', is the density, 'm' is the mass, and 'v' is the volume of the substance.
Plugging the value of mass and volume we get:
[tex]d=\frac{117}{15} =7.8g/cm^3[/tex]
So the density of the substance is 7.8 grams per cubic centimeter.
It cannot be water since the density of water is 1 grams per cubic centimeter.
It cannot be gasoline because its density is 0.77 grams per cubic centimeter.
It cannot be mercury because the density of mercury is 13.56 grams per cubic centimeter.
Since, the density in this case matches the density of thick milk and hence,therefore, the liquid in the bottle is milk.