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2 years ago

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Havel and Petra are married and will file a joint tax return. Havel has W-2 income of $40,000, and Petra has W-2 income of $41,6

65.Use the appropriate Tax Tables and Tax Rate Schedules.Required:What is their tax liability using the Tax Tables?What is their tax liability using the Tax Rate Schedule?

1 answer:

STatiana [176]2 years ago

7 0

Answer:

a. Tax liability using Tax Tables $8,579

b. Tax liability using Tax Rate Schedule $8,576.80

Step-by-step explanation:

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Several ordered pairs from a continuous exponential function are shown in the table.

Sunny_sXe [5.5K]

Answer:

The domain is {x : x ∈ R} , the range is {y : y > 0}

Step-by-step explanation:

* Lets explain how to solve the problem

- The general form of the continuous exponential function is

$y=a(e)^{kx}$ where a is the initial value and k is the growth factor

- We have some ordered pairs from the continuous exponential

function

- The ordered pairs are:

(0 , 4) , (1 , 5) , (2 , 6.25) , (3 , 7.8125)

- Lets substitute the values of x and y in the equation to find a , $e^{k}$

∵ $y=a(e)^{kx}$

∵ x = 0 and y = 4 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $4=a(e)^{k(0)}$

∴ $4=a(e)^{0}$

- The value of $e^{0}$ = 1

∴ a = 4

- Substitute the value of a in the equation

∴ $y=4(e)^{kx}$

∵ x = 1 and y = 5 ⇒ 1st ordered pair

- Substitute x and y in the equation

∴ $5=4(e)^{k(1)}$

∴ $5=4(e)^{k}$

- Divide both sides by 4

∴ $e^{k}$ = 1.25

- Substitute the value of $e^{k}$ in the equation

∴ $y=4(1.25)^{x}$

- The domain of the function is all the values of x which make the

function defines

- The range is the values of y corresponding to x

∵ There is no value of x makes the function undefined

∴ <u><em>The domain is all real numbers</em></u>

∵ y never takes a negative value

∴ <u><em>The range is all the real positive numbers</em></u>

* <em>The domain is {x : x ∈ R} , the range is {y : y > 0}</em>

4 0

2 years ago

Read 2 more answers

Solve the following equation for x.<br> 15x^2 – 46x + 16 = 0

goldfiish [28.3K]

Answer:

X=2/5,8/3

Step-by-step explanation:

Look on Tiger Algebra for step by step. JUst put the problem into g-oogle.

3 0

3 years ago

The slope of the line below is -1. write the point-slope equation of the line using the coordinates of the labeled point.

omeli [17]

Answer:

y+9=-1(x-4)

Step-by-step explanation:

Point Slope Form is:

$y-y_1=m(x-x_1)$

When:

'm' is the slope.

$(x_1,y_1)$ is the coordinate.

We are given the slope of -1 and the coordinate of (4,-9).

So:

$m=-1\\x_1=4\\y_1=-9$

Using the information and replacing the values we get:

$y+9=-1(x-4)$

So, the line equation in point slope form should be: y+9=-1(x-4)

<em>Brainilest Appreciated. </em>

5 0

3 years ago

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In your home you can make and paint 17 small planters in 5 days or 12 large planters in five days. You received an order for 50

Radda [10]

Answer:

25

Step-by-step explanation:

so you can use proportions for this. Since 17 small planters can be made in 5 days you would put 5 Days under 17 SP (Sp = small planters) Then you would do 17 times x which equals 17x and 5 times 50 which equals 250. you would then divide them by each other . 250 divided by 17 is a bunch of numbers but to shorten it you can just put 14.705 or 15 if you round it.

17sp 50

----------------- 250/17 = x =14.705

5D x

you would then do the same to the other Large planters.

12LP 24. 120/12 = x = 10

-------------

5D. x

the question is how many days to make them ALL. so you would then add 10 + 14.705 which equals 24.705. then you can round that to 25 DAYS.

8 0

3 years ago

Read 2 more answers

Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit

Phantasy [73]

Answer:

$y=-2.95836 x +234.56159$

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479$

$\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694$

$\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897$

$\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226$

$\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22$

And the slope would be:

$m=-\frac{-4152.222}{1403.556}=-2.95836$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222$

$\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111$

And we can find the intercept using this:

$b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159$

So the line would be given by:

$y=-2.95836 x +234.56159$

7 0

3 years ago