Answer:
[tex]\$7,770.81[/tex]
Step-by-step explanation:
we know that
The formula to calculate the depreciated value is equal to
[tex]V=P(1-r)^{x}[/tex]
where
V is the depreciated value
P is the original value
r is the rate of depreciation in decimal
x is Number of Time Periods
in this problem we have
[tex]P=\$8,599\\r=2.5\%=0.025\\x=4\ years[/tex]
substitute
[tex]V=\$8,599(1-0.025)^{4}=\$7,770.81[/tex]
Final answer:
After 4 years, Mariah's car will depreciate to approximately $7,761.66, following a 2.5% annual depreciation rate.
Explanation:
To calculate the depreciated value of a car, we can use the formula for exponential decay, which is:
V = P[tex](1 - r)^t[/tex]
where V is the final value of the car after time t, P is the initial purchase price of the car, r is the rate of depreciation per year, and t is the number of years.
For Mariah's car, the initial purchase price (P) is $8,599, the rate of depreciation (r) is 2.5%, or 0.025 when expressed as a decimal, and the time period in question (t) is 4 years.
Now we can perform the calculation:
V = $8,599[tex](1 - 0.025)^4[/tex]
V = $8,599[tex](0.975)^4[/tex]
V = $8,599(0.9025)
V ≈ $7,761.66
So, after 4 years, the value of the car will approximately be $7,761.66, when rounded to the nearest hundredth.
(6x^2-x+8)-(x^2+2) NEED HELP FOR GRADUATION ASAP THX***
I recommend this app called photomath it is unlimited and you just take a picture of the questions
Answer:
A
Step-by-step explanation:
given
6x² - x + 8 - (x² + 2) ← distribute parenthesis by - 1 )
= 6x² - x + 8 - x² - 2 ← collect like terms
= 5x² - x + 6 → A
Path a for every 36 meters of horizontal distance , the vertical change is 14 meters
Path B for every 4.27 meters of horizontal distance , the vertical change is 2 meters
The grade of path a is _%
The grade of path b is _ %
Answer:
The grade for path a is 257.1428571%
The grade for path b is 213.5%
Step-by-step explanation:
To find the grade of a slope, you take the rise over run then you multiply by 100.
Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?
To calculate how much more Lynn owes in taxes, we need to subtract her deductions from her total income to find her taxable income, then apply the tax rate from the provided table (which is missing in this case) to determine her tax liability. Unfortunately, without the tax table, we cannot accurately compute her tax obligation or the additional amount owed beyond the $3,150 withheld.
Explanation:The question involves calculating how much more in taxes Lynn will owe after her deductions. Lynn's total income before deductions is $38,900. After subtracting her total deductions of $11,450, her taxable income becomes $27,450. Without the tax table provided in the question, we cannot determine the exact tax rate applicable to Lynn's taxable income nor can we calculate the precise amount of taxes she owes or how much more she will have to pay on top of the $3,150 already withheld by her employer. Typically, to find out how much more Lynn owes, we would apply the appropriate tax rate to her taxable income and then subtract the amount already withheld.
Without specific tax rates and brackets from the tax table, we can only outline the steps to calculate Lynn's tax liability. This scenario underlines the importance of having complete information to accurately determine tax obligations.
The amount Lynn owe in taxes is determined as $399. (Option D).
How to calculate the amount Lynn owe in taxes?
The amount Lynn owe in taxes is calculated by applying the following method as shown below.
Lynn income before tax = $38,900
the total deduction in Lynn income = $11,450
amount withheld for taxes = $3,150
Lynn total income after tax is calculated as;
total income after tax = $38,900 - $11,450
total income after tax = $27,450
From the tax table attached, the tax payable for a head of household earing an income between $27,450 and $27,500 is $3,549.
So if the employer withheld $3,150 for tax, the remaining amount to be paid for tax is;
remaining amount for be paid for tax is calculated as;
= total tax - amount withheld
= $3,549 - $3,150
= $399
Thus, the amount Lynn owe in taxes is $399.
The complete question is below:
Lynn is a single mother with two children. She qualifies to file as head of household. Her total income before deductions was $38,900 last year. Her total deductions were $11,450. Her employer withheld $3,150 from her pay for tax. Use the tax table below. How much more will Lynn owe in taxes?
A. $570
B. $563
C. $407
D. $399
Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
Answer:
The dog needs eat 4.6 meals
Step-by-step explanation:
Due to:
7/8 lb ----> 4 meals
1 lb --------> X meals
X = [(1 lb)*(4 meals)] / [7/8 meals]
X = 4.6 meals
Best regards
What is the domain of the function y= sqrt3/x ? plese help
Answer:
all reals, except at x=0
Step-by-step explanation:
because x is in the denominator, x cannot equal 0
For this case we have a function of the form [tex]y = f (x),[/tex]where:
[tex]f (x) = \sqrt {\frac {3} {x}}[/tex]
we must find the domain of the function.
The domain is given by all the values for which the function is defined.
Note that "x" is not defined for negative numbers or for zero. Then x can only take strict higher values to zero.
Domain: {x | x> 0}
Answer:
Domain: {x | x> 0}
(4, 3) is a solution to the following system of equations:
True or false
Answer:
True
Step-by-step explanation:
2(4)+(3)=11
8+3=11
11=11
(3)=(4)-1
3=4-1
3=3
all you have to do is substitute 4 for you x-values, and substitute 3 for your y-values, and then solve the equations.
True. X= 4 and Y= 3.
2(4) + 3 = 11
Your job is to sort and sack marbles for sale. A bag contains 90 marbles, some red and some blue. If there are 60 blue marbles, what is the ratio of blue to red marbles?
Answer:
2:1
Step-by-step explanation:
90-60 = 30 red marbles
blue:red → 60:30 → 2:1
Helaine graphed the equation 12x – 4y = 3. What was the slope of Helaine’s line?\
Answer:
[tex]\large\boxed{\text{The slope}\ m=3}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line in the standard form:
[tex]12x-4y=3[/tex]
Convert to the slope-intercept form:
[tex]12x-4y=3[/tex] subtract 12x from both sides
[tex]-4y=-12x+3[/tex] divide both sides by (-4)
[tex]y=\dfrac{-12}{-4}x+\dfrac{3}{-4}\\\\y=3x-\dfrac{3}{4}[/tex]
Answer: The required slope of the given line is 3.
Step-by-step explanation: Given that Helaine graphed the following equation :
[tex]12x-4y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We are to find the slope of the line.
We know that
the slope-intercept form of a straight line is given by
[tex]y=mx+c,[/tex] where m is the slope of the line.
From equation (i), we have
[tex]12x-4y=3\\\\\Rightarrow 4y=12x-3\\\\\Rightarrow y=\dfrac{12x-3}{4}\\\\\\\Rightarrow y=3x-\dfrac{3}{4}.[/tex]
Comparing with the slope-intercept form, we get
slope, m = 3.
Thus, the required slope of the given line is 3.
the price of a climbing trip to mount kilimanjaro includes an initial fee plus a constant fee per meter. the table compares the total distance of a trip (in meters) and the price of the trip (in dollars).
Answer:
[tex]200\ m[/tex]
Step-by-step explanation:
Let
x------> total distance of a trip
y-------> the price of a trip
step 1
Find the slope
Let
[tex]A(70,114.1),B(100,118)[/tex]
[tex]m=\frac{(118-114.1)}{100-70}=0.13\frac{\$}{m}[/tex]
step 2
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=0.13[/tex]
[tex]A(70,114.1)[/tex]
substitute
[tex]y-114.1=0.13(x-70)[/tex]
[tex]y=0.13x-9.1+114.1[/tex]
[tex]y=0.13x+105[/tex]
step 3
For [tex]y=\$131[/tex]
Find the value of x
substitute in the linear equation and solve for x
[tex]131=0.13x+105[/tex]
[tex]0.13x=131-105[/tex]
[tex]x=26/0.13=200\ m[/tex]
Answer:
$0.13
Step-by-step explanation:
Please help! On part B!
Answer:
80.73 each month
Step-by-step explanation:
The original price of the computer is $598. It is offered for 25% off. This means you pay 75% of the original price or 0.75(598) = 448.5. The sales price is $448.50. You will pay 8% tax on this price. This means you'll pay 100% of the price plus 8% more. So this is 1.08(448.5) = 484.38.
In total you pay 484.38 over 6 months. This means each month you pay 484.38/6 = 80.73.
Solve the following: 5x -1oy -6y +8x +4=
What is the volume of this rectangular prism.
Answer:
Volume of Rectangular Prism:
V = lwh thus: V = 5 cm³
Step-by-step explanation:
Answer:
l = 2.5 cm
w = 4 cm
h = 0.5 cm
d = 4.74342 cm
S = 26.5 cm²
Agenda:
l = length
w = width
h = height
d = diagonal
S = surface area
V = volume
Answer:
The answer is 5 cm cubed.
Step-by-step explanation:
First, use the formula for solving rectangular prisms, l*w*h(length times width times height). If you do that, 4*1/2 is 2. 2*5/2 is 5. Thus, the answer is 5.
Hope this helps!
three times the sum of a number and eight is forty-five. what equation represents this?
3(n+8)=45
3*n+8=45
24n=45
Answer:
3(n+8)=45
Step-by-step explanation:
Don't pick the 2nd one because that would have been PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Hope this helps!
Option (A) The correct equation that represents 'three times the sum of a number and eight is forty-five' is 3(n+8)=45.
The equation representing "three times the sum of a number and eight is forty-five" is 3(n+8)=45. This is derived by translating the sentence into a mathematical expression: 'three times' corresponds to multiplication by 3, 'the sum of a number and eight' translates to the expression (n+8), where 'n' is the unknown number. Lastly, 'is forty-five' establishes the equality to 45.
The estimate using front end rounding to get the answer to 18.3 x 1.6
Answer:
36
Step-by-step explanation:
18.3 = 18
1.6 = 2
18 x 2 = 36
Answer:
36
Step-by-step explanation:
hope it helps! x
A petroleum laboratory technician is working at a petroleum storage depot in the oil-analysis laboratory. The lab tech is running tests on a sample from a 45-gallon oil-solvent mixture that contains 18 gallons of oil.
What is the ratio of the number of gallons of oil to the number of gallons of solvent?
The ratio of the number of gallons of oil to the number of gallons of solvent is 2:3.
Explanation:The ratio of the number of gallons of oil to the number of gallons of solvent can be determined by subtracting the number of gallons of oil from the total volume of the mixture and then dividing by the number of gallons of solvent. In this case, the total volume of the mixture is 45 gallons and the number of gallons of oil is 18. So, the number of gallons of solvent is 45 - 18 = 27. Therefore, the ratio of the number of gallons of oil to the number of gallons of solvent is 18:27, which can be simplified to 2:3.
Which statement about rhombuses and parallelograms is true?
A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.
B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
The correct statement about rhombuses and parallelograms is that rhombuses always have four equal sides while parallelograms sometimes do not. The other options are not true for rhombuses and parallelograms.
Explanation:The correct statement about rhombuses and parallelograms is option A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not. A rhombus, by definition, is a four-sided figure with all sides having equal length while a parallelogram is a four-sided figure with only opposite sides being equal.
Options B, C, and D are incorrect. Rhombuses do not always have four right angles; that is characteristic of a rectangle. Parallelograms always have opposite sides equal and parallel, so C and D are not true.
Learn more about rhombuses and parallelograms here:
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The correct answer is option (A).The true statement is that rhombuses always have four equal sides, while parallelograms sometimes do not. This characteristic is a key distinction between rhombuses and general parallelograms. The other statements about angles and sides are incorrect regarding rhombuses and parallelograms.
To determine which statement about rhombuses and parallelograms is true, we need to understand their definitions and properties:
Parallelogram: A quadrilateral with opposite sides that are both parallel and equal in length. Opposite angles are equal, and adjacent angles are supplementary.Rhombus: A type of parallelogram where all four sides are of equal length. Additionally, the diagonals of a rhombus are perpendicular and bisect each other at right angles.Given these definitions, let's evaluate each statement:
A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.Option A) is the true statement as rhombuses always have four equal sides and parallelograms sometimes do not.
The slope of the line passing through the points (-3, 4) and (-5, -6) is -1 5 1/4
Answer:
5Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:
[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]
Please give me the answer
Answer:
Could be (1,-1) or (1,3) depending where is UP
Best regards
Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)
ANSWER
[tex]x + y = 6[/tex]
EXPLANATION
Given the x- intercept: (a,0)
and the y-intercept : (0,b)
The equation in standard form is given by:
[tex] \frac{x}{a} + \frac{y}{b} = 1[/tex]
The given x-intercept is N(6,0) and y-intercept is M(0,6).
This implies that:
a=6, and b=6.
We substitute into the formula to obtain:
[tex]\frac{x}{6} + \frac{y}{6} = 1[/tex]
Multiply through by 6 to get the standard form of the equation as:
[tex]x + y = 6[/tex]
Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?
multiply
[tex]330 \times 2 \\ 660 \times 4 \\ then \: the \: answer \: plus \\ \: 330 \div 2 \\ 165 \times 2[/tex]
that will be the answe
2964 calories
Answer: He burned 3.300 calories.
Step-by-step explanation: 330 (calories he burns per hour)× 2.5 (hours he exercised)= 825
825 (calories he burns per day)× 4 (days)= 3.300 (calories he burned by exercising)
I hope this helped you!!
i need help with this question fast!!!
I agree with the one above.
The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:
Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6
In which step did the student first make an error and what is the correct step?
step 2 and it was to be 8x-16=8+8+2x
Step 2 it would be 8x-16=8+2x+8
What I need to know from this equation is the answer and the way you got it
Answer:
see explanation
Step-by-step explanation:
given
2x² - 5x - 3 = 0 ← in standard form
To factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 3 = - 6 and sum = - 5
The factors are - 6 and + 1
Use these factors to split the x- term
2x² - 6x + x - 3 = 0 ( factor the first/second and third/fourth terms )
2x(x - 3) + 1(x - 3) = 0 ← factor out (x - 3)
(x - 3)(2x + 1) = 0
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.
Answer:
There is a formula for this:
[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]
[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5
= 0.8571428571 Hours =
51.43 minutes
Both Jenna and Juan are INCORRECT.
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 job / 2 hours + 1 job / 1.5 hours = 1 job / x When they work together.
1/2 + 1/1.5 = 1/x Basic Equation. Change to decimal form
0.5 + 0.6666 = 1/x Add like terms on the left
1.1666666 = 1/x Multiply by x on both sides.
1.1666667 x = 1 Divide by 1.16666667
x = 1 / 1.166667 Do the division.
x = 0.8571428
x = 6/7 of an hour.
This kind of question will always produce an answer that is less than the smallest number.
So the answer must be smaller than 2 hours or 1.5 hours.
what percent is 18 out of 30?
Answer:
60%
Step-by-step explanation:
p/100 = 18/30
Multiply each side by 100
p/100 *100 = 18/30 *100
p = 60
18 is 60 percent of 30
The number 18 out of the number 30 is 60 percent.
We need to find what percent is 18 out of 30.
Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Here, 18/30
= 9/15
= 3/5
= 0.6
In percentage 0.6×100
= 60%
Therefore, the number 18 out of the number 30 is 60 percent.
To learn more about the percentage visit:
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Can someone help me with matching? Will mark brainliest for the correct answer
Answer:
nails are cleavage rocks are luster flash light is color and hammer is hardness
Step-by-step explanation:
the flash light is color because if you refleact it off of some thing it whould make light whitch is basically color. rocks l is luster because rocks can gentle sheen or soft glow, especially that of a partly reflective surfacehammer is hardness because i bang it it is hard and nails are cleavage because a sharp division; a split hope i get brainlist witch will never happen will hope this help and let me know if you got it right..
What is 1.06x2.29? I really need help with this problem.
2.4274 that is the answer
Answer:
2.4274
Step-by-step explanation: just multiply
What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft
Answer:
49 cubic feet
Step-by-step explanation:
ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST
1.The graph shows two lines, M and N.
How many solutions are there for the pair of equations for lines M and N? Explain your answer.
2.Consider the following pair of equations:
y = x + 4
y = −2x − 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
THE GRAPH IS FOR QUESTION 1.
Answer:
{y,x} = {-6,-2}
Step-by-step explanation:
/ Solve equation [2] for the variable y
[2] y = 2x - 2
// Plug this in for variable y in equation [1]
[1] (2x-2) - x = -4
[1] x = -2
// Solve equation [1] for the variable x
[1] x = - 2
// By now we know this much :
y = 2x-2
x = -2
// Use the x value to solve for y
y = 2(-2)-2 = -6
subtract -5x+7 from 3x-2 set up your expression show your work
3x-2
-(-5x+7)
☝️this is your equation
distribute your subtraction sign to -5x+7 and you get
3x-2
+5x-7
add everything together and you end up with
8x-9
Answer:
[tex]\large\boxed{(3x-2)-(-5x+7)=8x-9}[/tex]
Step-by-step explanation:
[tex](3x-2)-(-5x+7)\\\\=3x-2-(-5x)-7\\\\=3x-2+5x-7\qquad\text{combine like terms}\\\\=(3x+5x)+(-2-7)\\\\=8x-9[/tex]