Answer:
i believe the answer is 13,250
Step-by-step explanation:
all i did was divide the 5400/0.40 because i thiink its correct, maybe not
The employer contribute to her retirement plan is $2120.
What is 401(k) plan?Many American firms provide 401(k) plans, which are retirement savings plans with favourable tax treatment for the saver. It bears a section number from the United States Internal Revenue Code (IRC).
When a worker enrols in a 401(k), they consent to have a portion of each paycheck put directly into an investing account. A portion or the entire contribution may be matched by the employer. The employee has a variety of investing alternatives, most often mutual funds.
Given:
Jayne contributes $5,300
Now, the contribution of $0.40 for each dollar
So, employer contribute to her retirement plan
= 5300 x 0.40
= $2120
Hence, The employer contribute to her retirement plan is $2120.
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A children’s pool contains 17,500 milliliters. How many liters are in the pool. Please help?!?!
Answer:
17.5 Liters
Step-by-step explanation:
I got it right on a test so I hope this helps you!
Answer:
17.5 l
Step-by-step explanation:
Find the polar coordinates of rectangular coordinates (-√2,1). Limit θ to the interval [0,2pi) and round 2 dceimal places if needed
The point (-√2,1) can also be represented as (√3, 5.18) in polar coordinates.
To find the polar coordinates of the rectangular coordinates (-√2,1), we can use the following formulas:
r = √(x² + y²)
θ = tan^⁻1(y/x)
Plugging in the given values of (-√2,1), we get:
r = √((-√2)² + 1²) = √(2 + 1) = √3
θ = tan^⁻1(1/(-√2)) ≈ 2.0344 radians
Note that since the point (-√2,1) is in the second quadrant, we need to add π to the value of θ obtained from the inverse tangent in order to obtain an angle in the interval [0,2π). Thus, we have:
θ ≈ 2.0344 + π ≈ 5.1779 radians
Rounding to 2 decimal places as needed, we get the polar coordinates of (-√2,1) as (r,θ) ≈ (√3, 5.18).
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Which angles are vertical angles and, therefore, congruent?
A and D
A and G
A and E
A and F
Answer:
A and F
Step-by-step explanation:
In the expression below, a is an integer.
12x2 + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?
Answer:a=1
Step-by-step explanation:
A car with 15 gallons of gasoline drives 420 miles until the tank is empty. Write a linear equation that describes the amount of gas left in the car, y, after driving x miles.
Answer:
\( y = -\dfrac{1}{28}x + 15 \)
Step-by-step explanation:
The car uses 15 gallons of gasoline to drive 420 miles.
(15 gal)/(420 mi) = 1/28 gal/mi
The car uses 1/28 gallon of gasoline per mile.
y = mx + b
When x = 0, at the start of the drive, the car has 15 gallons of gasoline.
y = mx + 15
Then for every mile it travels, the amount of gasoline goes down by 1/28 gal. For x miles of travel, it uses 1/28 * x gallons of gasoline.
\( y = -\dfrac{1}{28}x + 15 \)
Hannah took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.90 plus $3.75 per mile. The total fare was $80.65, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Answer: y=3.75x+1.9
Step-by-step explanation: the pick up fee would be the y-intercept and the per mile cost would be the slope.
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Pick up fee charges = $1.90
Charges per mile = $3.75
Total fare = $80.65
The number of miles traveled = x
We can write an equation as:
1.90 + 3.75x = 80.65
The number of miles traveled:
1.90 + 3.75x = 80.65
Subtract 1.90 on both sides.
1.90 + 3.75x - 1.90 = 80.65 - 1.90
3.75x = 78.75
Divide both sides by 3.75.
x = 21.
Thus,
The equation that can be used to determine the number of miles in the taxi ride is 1.90 + 3.75x = 80.65.
The number of miles traveled is 21 miles.
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find the x-intercept of the function f(x)=log(x-5)
as you'd know, to get the x-intercept, we simply start off by setting y = 0 and then solving for "x".
\(\begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{ \textit{we'll use this one} }{a^{log_a (x)}=x} \end{array} \\\\[-0.35em] ~\dotfill\\\\ f(x)=\log(x-5)\implies f(x)=\log_{10}(x-5)\implies 0=\log_{10}(x-5) \\\\\\ 10^0=10^{\log_{10}(x-5)}\implies 10^0=x-5\implies 1=x-5\implies 6=x \\\\[-0.35em] ~\dotfill\\\\ ~\hfill~(6~~,~~0)~\hfill~\)
Alan earns $530 in gross wages. How much is deducted from Alan’s paycheck for Social Security (6.2%) taxes?
Answer:
$32.86 maybe ?
Step-by-step explanation:
Answer:
530-6.2% = 32.86
Step-by-step explanation:
5. What is the value of x?
х
4 in.
3 in.
6 in.
Answer:
13in
Step-by-step explanation:
13in because if you add all
hi please help im giving full points and brainliest:) Let y = 2(x – 3)2 – 6.
Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one-to-one. (5 points)
Part B: Determine y–1. Show all necessary calculations. (5 points)
Part C: Prove algebraically that y and y–1 are inverse functions. (5 points)
Answer/Step-by-step explanation:
Part A:
Yes, the given relation is a function
No, the given is not one-to-one.
The given relation is a function: True
The given one-to-one function: False
For the domain (3, + ∝) or the domain (- ∝,3)
the relation is one-to-one.
Part B:
\(y=2(x-3)^2-6\)
\(y+6=2(x-3)\)
\((x-2)^1=\frac{y}{2}+3\)
\(x-2=\) ±\(\sqrt{\frac{y}{2}+3}\)
\(x=\) ± \(\sqrt{\frac{y}{2}+2+2}\)
So, \(y^-^1=\) ± \(\sqrt{\frac{x}{2}+3}+3\)
Part C:
\(y(y^-^1)=2(\)±\(\sqrt{\frac{x}{1}+3+3-3)^2-6}\)
\(=2(\frac{x}{2}+3)-6\)
\(x+6-6=x\)
So y and y^-^1 are inverse function.
[RevyBreeze]
Explain your answer to the question in the picture with steps please, thank you.
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
I’ll give you a brainliest to whoever gets these done in 5 minutes Solve and check your answer :
X+6=10
Solve the linear equation and check your answer:
3X+4=2X+6
Answer:
x=2
Step-by-step explanation:
Answer:
1. x=4
2. x=2
Step-by-step explanation:
1. 10-6=4
2. 6-4=2
3x-2x=1x
2 Divided by 1 is 2
1) The price of oranges went from $.50 per Ib to $1.80 per lb in four years. Find
the rate of change of the price of oranges.
a) What are the two points, (* y) given in the question?
b) What is the independent variable?
c) How do you find the rate of change?
d) Show your calculations for rate of change.
Answer:
It is C sorry if im wrong :)
Step-by-step explanation:
Given that a=3,b=-5 and c=6.Evaluate the following expression. a(3c-b)
79
or
69
or
96
Answer:
79?
Step-by-step explanation:
Answer:
69 is the right answer
Step-by-step explanation:
By putting the values
The cost of DVDs will grow at a rate of $1.40 each year. In 2013, a new DVD cost $17.99. Let z be the number of years since 2013.
Which function models the price of a new DVD 2 years after 2013?
O f (z) - 17.99 + 1.0147
O f (2) - 17.99 +1.42
f (x) – 17.99(1.4)
O f(z) – 17.99(1.014)
Answer:
A, because A is the answer(I have my reasons) so A.
What is the answer?? 3(b-5)<-2b
Answer:
b < 3
Step-by-step explanation:
3 ( b - 5 ) < - 2b
3 ( b ) - 3 ( 5 ) < - 2b
3b - 15 < - 2b
3b + 2b < 15
5b < 15
b < 15/5
b < 3
Help please
Condense to a single logarithm is possible
In(6x^9)-In(x^2)
The logarithm expression can be simplified to:
In(6x^9)-In(x^2) =7·ln(6x)
How to write this as a single logarithm?There are some logarithm properties we can use here.
log(a) - log(b) = log(a/b)
log(a^n) = n*log(a)
(these obviously also apply to the natural logarithm)
Now let's look at our expression, it says that:
In(6x^9)-In(x^2)
Using the first rule, we can rewrite this as.
In(6x^9)-In(x^2) = ln(6x^9/x^2)
Now solving the quotient in the argument:
ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)
That is the expresison simplified.
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a computer that normally cost 500 dolars was on sale for 200 dollars. what is the percent decrease. please show work for brainlist
Answer:
(100/500) *200 =40%
Step-by-step explanation:
Please help me with this proof.
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?
hmm let's do that with synthetic division, Check the picture below.
A full can of paint contains 4/5 of a gallon. Brandon used 3/4 of a can of paint to paint a doghouse. He then used 2/3 of what remained in the can to paint a door. How much paint is left in the can,in gallons?
Answer:
1/60 gallon
Step-by-step explanation:
You want to know what is left of 4/5 gallon of paint if 3/4 gallon was used to paint a doghouse, and 2/3 of the remaining amount was used to paint a door.
Amount remainingTo find the amount remaining we subtract the amount used for the doghouse from the original amount:
4/5 -3/4 = (16 -15)/20 = 1/20 . . . . . gallon
2/3 of that was used, so 1/3 of it remains:
(1/3)(1/20 gallon) = 1/60 gallon
There is 1/60 of a gallon of paint left in the can.
__
Additional comment
In a standard size gallon paint can, that's about 0.11 inches of paint in the bottom.
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what is the variable "d" equal to in the equation 2d + 13
Answer:
d=-6.5
Step-by-step explanation:
2d+13=0
2d=-13
d= -13/2
d=-6.5
Marvin has a bag that contains 3 red marbles and 9 blue marbles he will randomly select a marble from the bag what is the probability that Marvin will select a red marble
Answer:
now how
Step-by-step explanation:
because he likes red marbles
i dont know
Can you prove that the quadrilateral is a parallelogram based on the information given?
Answer:
No
Step-by-step explanation:
The photo provided doesn't necessarily prove that the diagonals bisect each other. It could be proven as a quadrilateral is the other line inside the shape had lines showing this as well.
Answer:the answer is no
Step-by-step explanation:
it dosent give enough info
Help with all these? pls
1. 76.56.
2. 96
3. The largest solution to the equation x²+16x+28=138 is 6.71.
4. The smallest solution to the equation x²+14x+14=145 is 5.96.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.
2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.
3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).
4. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).
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1. For the given equation, c need to be 90.25 to complete the square.
2. 225
3. The largest solution to the equation x²+16x+28=138 is 6.
4. The smallest solution to the equation x²+14x+14=145 is -14.
What is an equation?Equations are used to express relationships between variables and solve mathematical problems.
1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result
(19/2)² = 90.25.
2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result
(30/2)² = 225.
3. The largest solution to the equation x²+16x+28=138 is 6.
This can be calculated by using the quadratic formula to solve the equation.
(a=1, b=16, c=28)
x = -8 ± √((16)² - 4(1)(28))/2(1).
x = -8 ± √(240)/2
x = 6 or -14.
Since 6 is the larger solution, it is the largest solution to the equation.
4. The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.
a=1, b=14, and c=14
x = [-14 ± √(142-4(1)(14))]/(2(1))
x = [-14 ± √(196)]/2
x = [-28/2] or [14/2]
x = -14 or 7
Therefore, the smallest solution for x2+14x+14=145 is x=-14.
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A vehicle purchased for $ 29800 depreciates at a rate of 6 % per year. Determine the approximate value of the vehicle 13 years after purchase.
The value of the vehicle 13 years after purchase is $13,695.24.
What is exponential decay?
Exponential decay is a mathematical process in which a quantity decreases over time in a manner proportional to its current value. This means that the rate of decay is proportional to the amount of the substance remaining, and as the amount of the substance decreases, the rate of decay also decreases.
We can use the formula for exponential decay to find the approximate value of the vehicle 13 years after the purchase:
\($V = V_0 e^{-rt}$\)
where V0 is the initial value of the vehicle, r is the annual depreciation rate (as a decimal), t is the number of years since purchase, and e is the mathematical constant approximately equal to 2.71828.
Substituting the given values, we get:
\($V \approx 29800 e^{-0.06*13}$\)
\($V \approx 29800 e^{-0.78}$\)
V ≈ 29800 x 0.4593
V ≈ 13695.24
Therefore, the approximate value of the vehicle 13 years after purchase is $13,695.24.
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Select the correct answer.
Libby bought 250 stocks of a company named Xylet last year. Xylet's total earning for the year is $ 4million and it has 1,000,000 outstanding
stocks. What is Xylet's Earning per share (EPS)?
OA. 4
OB. 0.04
C. 40
OD
400
Stocks = 250
Net income = $4,000,000
Outstanding Shares = $1,000,000
Earnings Per Share = ?
Formula: EPS = Net Income / Outstanding Shares
Solution: EPS = Net Income / Outstanding Shares
= $4,000,000 / $1,000,000
= 4
Answer: Earnings Per Share = 4
Answer:
4
Step-by-step explanation:
PLATO correct answer
Please help!!! Will mark brainliest to the correct answer!! Please!!
Answer:
\(\large \begin{array}{| c | c | c | c | c | c | c | c | c | c |}\cline{1-10} \sf Big & 17 & 10 & 10 & 3 & 3 & 0 & 17 & 13 & 13\\\cline{1-10} \sf Small & 0 & 7 & 0 & 7 & 0 & 3 & 3 & 7 & 0\\\cline{1-10}\end{array}\)
Step-by-step explanation:
Given:
Big bucket = 17 gallonsSmall bucket = 7 gallonsStep 1
Fill the Big bucket from the stream:
Big bucket = 17
Small bucket = 0
Step 2
Fill the Small bucket from the big bucket:
Big bucket = 17 - 7 = 10
Small bucket = 7
Step 3
Empty the contents of the small bucket into the stream:
Big bucket = 10
Small bucket = 0
Step 4
Fill the small bucket from the big bucket:
Big bucket = 10 - 7 = 3
Small bucket = 7
Step 5
Empty the contents of the small bucket into the stream:
Big bucket = 3
Small bucket = 0
Step 6
Empty the contents of the big bucket into the small bucket:
Big bucket = 0
Small bucket = 3
Step 7
Fill the large bucket from the stream:
Big bucket = 17
Small bucket = 3
Step 8
Fill the small bucket from the big bucket:
Big bucket = 17 - 4 = 13
Small bucket = 3 + 4 = 7
Step 9
Empty the contents of the small bucket into the stream:
Big bucket = 13
Small bucket = 0
PLEASE HELP WOULD BE APPRECIATED!!!
Mary is saving money for college expenses. She saves the same amount each month.
The table shows the amount of money Mary has saved after 4 and 7 months.
Answer: a, c, and d
Step-by-step explanation: hard to explain
hope this helped :)
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0