Josh made $35,000 in taxable income last year.
Suppose the income tax rate is 15% for the first $8500 plus 17% for the amount over $8500.
How much must Josh pay in income tax for last year?

Answer:

x is approximately 20.89

Step-by-step explanation:

cos(40°) = 16/x

x cos(40°) = 16

x = 16 / cos(40°) = 16/.766 = 20.89

The approximate value of x in the diagram is,

⇒ x = 20.77

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, We can formulate by the given figure;

⇒ sin 50° = 16 / x

⇒ 0.77 = 16 / x

⇒ x = 16 / 0.77

⇒ x = 20.77

Thus, The approximate value of x in the diagram is,

⇒ x = 20.77

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y=[tex]\frac{1}{2}[/tex]x+0.5

Hope it helps!

Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

The change of amplitude of a sound wave's amplitude is linked to the change in pressure that occurs due to the wave measured at a given location.

Frequency tells the number of waves that  pass a fixed location in a specific time frame.

Sound engineers uses the basic laws of trigonometry via sine and cosine graphs.

Note that all sounds can be broken down into a lot of sine waves, as sine waves comes together to form sounds.

Therefore, Trigonometry functions is often employed in taking the measurement of the level or the pitch of a sound wave or musical note.

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The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

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Step-by-step explanation:

there must be no confusion just put x= 0 u get y=0.5 which is true according to graph and also put x=2 you get y = 1.5 which is again satisfy by the graph so it is 1/2x+0.5

Answer:

y = 1/2 x + 1/2

Step-by-step explanation:

I think your answer is not wrong but if the math program won't accept it, check these two things:

Make sure the x is beside the 1/2 and is not interpreting it as the x on the bottom with the 2 which is wrong.

Also, usually we don't put a mix of decimals and fractions. So change that .5 to a 1/2. I know what you have is equivalent, but just the norms dictate how to write it. Maybe it is just some tiny detail as these two details. Please don't be confused, you aren't wrong.

Answer:

3x+4=79

Step-by-step explanation:

3x+4=79

3x=79-4

3x=75

Divide both sides by three

3x/3 = 75/3

x=25

Therefore the original number is 25.

Hope it helps.✨✨

The expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n). D

Given the expression:

(4m - 5) - (6m - 7 + 2n)

Note that  - * - = +

+ * - = -

So in finding the difference, we have

(4m - 5) - ( 6m + 7 - 2n )

It could as be written as

(4m - 5) + ( -6m + 7 - 2n)

Therefore, the expression that can be used to find the difference of the polynomials is (4m - 5) + ( -6m + 7 - 2n) . D

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Answer:

52

Step-by-step explanation:

Answer:

Z = sin(xy)

[tex]\frac{1}{y} \times \frac{\partial Z}{\partial x} =\cos \left( xy\right) =\frac{1}{x} \times \frac{\partial Z}{\partial y}[/tex]

Option B is correct, the function f(x) = -7x² - x + 2  represents a quadratic function

A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.

f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.

Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).

The other three functions do not have a quadratic term and thus are not quadratic functions.

f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).

f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).

f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).

Hence, the function f(x) = -7x² - x + 2  represents a quadratic function

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Answer:

$14.4

Step-by-step explanation:

there are 2 adults so 2 children will get the discount

4.50 + 4.50 + 1.375 + 1.375 + 2.75 = $14.5

Answer:

Step-by-step explanation:

Answer:

180 cm squared

Step-by-step explanation:

Area Of A Rectangle is Length times Width, so 20 times 9, which equals 180.

Answer: 3

Step-by-step explanation:

The sine of an angle is equal to the cosine of its complement, so

[tex]4x+10=2x+16\\\\2x+10=16\\\\2x=6\\ \\ x=3[/tex]

The horizontal distance from the point where it was launched is 7.143.

We have given that,

The path of the marshmallow can be modeled by the quadratic y=−0.07x^2+x+2.2,

x represents the horizontal distance from the point it is launched, in feet.

Horizontal distance means the distance between two points measured at a zero percent slope.

(1) Put x = 7.143 in given equation

y= -0.07(7.143)^2+7.143+2.2

y= 2.2

y= 5.771

We have to determine the what is its horizontal distance from the point where it was launched.

The value of x is called horizontal distance.

Therefore the horizontal distance from the point where it was launched is 7.143.

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Answer:

The answer is 1/42 as you take reciprocal of 6=(1/6) and reciprocal of 7=(1/7) and multiply.

Answer:

[tex]\boxed {\frac{1}{42}}[/tex]

Step-by-step explanation:

Reciprocal of 6 : 1/6

Reciprocal of 7 : 1/7

Their product :

The simplified form of the expression 2/5 x (-7)x 5/2 would be -7.

When two fractions are multiplying each other, the numerator of both fractions multiplies each other, likewise the denominator of both fractions respectively.

Use the property of real numbers to write the expression

[tex]\dfrac{2}{5} \times (-7) \times \dfrac{ 5}{2}\\\\\dfrac{10}{10} \times (-7) \\\\-7 \times 1\\\\= -7[/tex]

Therefore, The simplified form of the expression would be -7.

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Answer:

C

C

B

8 abd 9-11

236.4 million

66.9%

Answer:

Look at the pic for answer.

Step-by-step explanation:

The correct option will be Option D:      [tex]P_{10} =30000(1+0.079)^{10[/tex]

The compounds interest can be estimated by using the following formula

[tex]A =P(1+r/n)^{nt[/tex]

where

A: the final amount

P: the initial investment

r: the interest rate (in decimal)

n: the number of times the interest will be compounded per year

t: the time (in year)

Given in the problem that

the initial investment is $30,000 and the time period is 10 years,

so P=30000 and

t=10  

As we know The interest will be compounded one time per year

n=1.

now for converting the interest rate into decimal form, we will divide the rate of interest by 100.

r=7.9/100

⇒r=0.079

putting above values in the above formula

[tex]A =P(1+r/n)^{nt[/tex]

⇒ [tex]A =30000(1+0.079/1)^{(1)(10)[/tex]

⇒  [tex]A =30000(1+0.079)^{10[/tex]

⇒[tex]P_{10} =30000(1+0.079)^{10[/tex]

Therefore correct option is Option D:  [tex]P_{10} =30000(1+0.079)^{10[/tex]

By completing the above equation to find the total amount

[tex]P_{10} =30000(1+0.079)^{10[/tex]

⇒[tex]P_{10} =30000(1.079)^{10[/tex]

⇒[tex]P_{10} =64170.54[/tex]

Yolanda will have to pay $64,170.54 in her account after ten years.

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Answer: C

Explanation:i got it right on my test

Answer:

D

Step-by-step explanation:

Passes through the x-axis at r and k

using elimination method

2x + 3y = 6 -----(1)

-

x + 3y = 12-------(2)

———————

x = 12

substitute x as 12 into equation (1) or (2), let's choose equation (1)

2(12) + 3y = 6

24 + 3y = 6

collect like terms

3y = 6 - 24

3y = 18

divide both sides by 3 ( to make y the subject of formula )

3y = 18

— —

3 3

y = 6

therefore X = 12 and y = 6

Hope this helps eh

Good luck ✅.

The curved surface area of the cone is 144 cm².

A cone is a three-dimensional object that consists of a circular base and an vertex.

curved surface area = πrl

Where:

3.14 x 3 x 23 = 144 cm²

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Answer:

-26

Step-by-step explanation:

Multiply -4 by 7

1-20-7

Subtract 20 from 1

-19-7

Subtract 7 from -19

-26

Answer:  31.792.5 cu. ft.   (choice B)

=================================================

Work Shown:

[tex]V = \pi*r^2*h\\\\V \approx 3.14*15^2*45\\\\V \approx 31,792.5 \text{ cubic feet}\\\\[/tex]

The result is approximate since [tex]\pi \approx 3.14[/tex] is approximate.

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]

Step-by-step explanation:

Radius (r) = 15 feet

Height (h) = 45 feet

Volume = ?

Taking π ≈ 3.14..

V = 3.14 × 15² × 45

V = 31,792.5 cu. feet

So, the cylindrical tank can hold upto 31,792.5 cu. feet of water..

Answer:

The condantrnirte will be 3x if x is 0 (underfined)

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

37.5×144/100=54 the number is 37.5

The total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

The soup recipe gives 20 gallons.

As we know one gallon produces 128 fluid ounces.

There are 20 gallons produced.

So the number of fluid ounces produced will be 20*128= 2560

Given in the question each portion contains 5 fluid ounces.

Then there is a total of 2560 numbers of fluid ounces.

So the number of portions will be = number of fluid ounces/ number of fluid ounces in each portion=  2560/5= 512

Therefore the total number of 512 portions will be made the recipe that contains 5 fluid ounces each.

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Answer:

Interpretation: A cube with sides of 4 units each has a volume of 64 units³.

Explanation:

As v(s) represents the volume of the cube, s represents the length of the sides.

∴ v(4) represents the volume of a cube with sides of  units, and the volume is 64 units³

Answer: the fourth one

Step-by-step explanation:

Answer:

D.) 8x¹²y³

Step-by-step explanation:

When an expression is raised to a power, you have to raise everything in the expression to the power when simplifying. This includes the coefficients and variables. When a variable already raised to a power is raised to another power, the powers are multiplied.

Therefore,

2³ = 8

(x⁴)³ = x⁴*³ = x¹²

(y)³ = y³

Combined, the final answer is 8x¹²y³.