Identify the measure of angle x please show work because I have too !!

The total amount of interest that Maria will owe on her unsubsidized loan = $113.63

In this question we have been given Maria received a $5,000 subsidized loan and a $4,500 unsubsidized loan with an apr of 5.05%

We need to find the total amount of interest that Maria will owe on her unsubsidized loan.

Using simple interest formula,

I = P * t * r

where P - the principal

r - the interest rate,

and t - time period

Maria  begins making payments 6 months after graduation, this means there are 12 - 6 = 6 months between graduation and the start of payments.

so, t = 6 months

i.e., t = 0.5 year

Here, R = 5.05%, P = $4500

Now we convert R percent to r a decimal

r = R/100

 = 5.05%/100

 = 0.0505 per year,

Using the formula of simple interest,

I = 4500 * 0.0505 * 0.5

I = $113.63

Therefore, the interest amount is $113.625

Learn more about the simple interest here:

https://brainly.com/question/25845758

#SPJ4

The complete question is:

At the beginning of her senior year maria received a $5,000 subsidized loan and a $4,500 unsubsidized loan with an apr of 5.05%. if maria begins making payments on her loans 6 months after graduation, how much interest will she owe to the nearest dollar?

The value of x we get from the equation is [tex]\frac{- 10 ±\sqrt{208}}{18}\\[/tex]

The given equation is [tex]9x^{2} + 10x -3=0[/tex]

We know, the quadratic formula is [tex]x=\frac{-b ± \sqrt{b^{2}-4ac}}{2a}[/tex] where [tex]a\neq 0[/tex]

Using the Quadratic Formula where

a = 9, b = 10, and c = -3

We get,

[tex]x=\frac{-b ± \sqrt{b^{2}-4ac}}{2a}[/tex]

[tex]x=\frac{- 10± \sqrt{10^{2}-4(9)(-3) }}{2(9)}\\[/tex]

[tex]x=\frac{- 10± \sqrt{100--108 }}{18}\\[/tex]

[tex]x=\frac{- 10± \sqrt{208}}{18}\\[/tex]

The discriminant [tex]b^{2} -4ac[/tex]>0 so, there are two real roots

From this, we get 2 values of x

[tex]x=0.245678[/tex]

[tex]x= -1.35679[/tex]

Read more similar questions about Quadratic equations from:

https://brainly.com/question/1863222

Answer:-10±√208÷18

Step-by-step explanation

1) so, there is a formula that is  x= -b±√b²-4ac÷2a, we can use this to solve this equation.

2) put these value in the formula, then we will get

  here, a=9

            b=10

            c=-3

  x=-10±√100-4*9*-3÷2*9

  x=-10±√208÷18

The elevation of this mountain in feet is 28,169 feet. This gives us the original number of 9,417 yards, confirming that our answer is correct.

To convert yards to feet, we simply need to multiply the number of yards by 3. There are 3 feet in a yard, so to convert 9,417 yards to feet, we multiply 9,417 by 3.

This gives us the total of 28,169 feet as the elevation of this mountain. To check our answer, we can also convert 28,169 feet back to yards by dividing 28,169 by 3.

This gives us the original number of 9,417 yards, confirming that our answer is correct.

Learn more about number here

https://brainly.com/question/10547079

#SPJ4

Answer:

Step-by-step explanation:

in x intercepts y is equals to 0

10x = 8

x = 8/10

x = 4/5

in y intercepts x is equals to 0

y = 8

Answer:

x = [tex]\frac{36}{5}[/tex]

Step-by-step explanation:

7 + [tex]\frac{x}{3}[/tex] = 2x - 5 ( subtract 7 from both sides )

[tex]\frac{x}{3}[/tex] = 2x - 12 ( multiply through by 3 to clear the fraction )

x = 6x - 36 ( subtract 6x from both sides )

- 5x = - 36 ( divide both sides by - 5 )

x = [tex]\frac{-36}{-5}[/tex] = [tex]\frac{36}{5}[/tex] = 7.2 ( in decimal form )

The value of the discriminant of f is 0.

There is one distinct real number of zeroes.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = 3x² + 24x + 48

This is in the form of ax² + bx + c

a = 3

b = 24

c = 48

The discriminant is given by b² - 4ac.

There are two real solutions when it is greater than 0.

There is one real solution when it is equal to 0.

There are two imaginary solutions when it is less than 0.

Now,

= 24² - 4 x 3 x 48

= 576 - 576

= 0

So,

There is one real solution.

Thus,

The value of the discriminant of f is 0.

There is one distinct real number of zeroes since the discriminant is zero.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

The option that provides the best description of the relationship between a quadratic parent function and a square root parent function is A. The square root function is the quadratic function reflected across the line y = x, with a limited domain.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range.

The square root function is the quadratic function reflected across the line y = x, with a limited domain. The graph y=x² and y=√x and y=x. The graph is attached.

In conclusion, the correct option is A.

Learn more about functions on:

https://brainly.com/question/25638609

#SPJ1

Answer: (x - 6)(x + 6)

Step-by-step explanation:

To factor this, recall the difference of squares

[tex]a^{2} - b^{2} = (a-b)(a+b)[/tex]

And because 36 is [tex]6^{2}[/tex], that means

[tex]x^{2} - 36 = x^{2} - 6^{2} = (x-6)(x+6)[/tex]

[tex] \bold{(x-6)(x+6)}[/tex]

To simplify this equation, quadratic factoring patterns should be used. These patterns are the following:

[tex] \bold{a^2-b^2=(a-b)(a+b)}[/tex]

This pattern works because if one distributes the terms in the parentheses by multiplying each term in one of the parentheses by each term in the other, the result is the original equation:

[tex] \bold{36=6^2}[/tex]

So it can be applied to the given equation:

[tex] \bold{x^2-36}[/tex]

[tex] \bold{ \bold{\boxed{(x-6)(x+6)}}}[/tex]

The factored form of the expression is [tex]\bold{(x-6)(x+6)}[/tex]

g sio2 is always 0.4 mg too high regardless of the weight of the sample taken for analysis. The relative error in parts per thousand would be 400.

This is because the relative error is calculated by taking the difference between the actual value and the measured value, and dividing this by the actual value.

In this case, the actual value is 0.4 mg and the measured value is

0.4 mg + (10% x 0.4 mg) = 0.44 mg. Thus the relative error is

(0.44 – 0.4)/0.4 = 0.1/0.4 = 0.25 = 400 parts per thousand.

The relative error in parts per thousand would be 400.

Learn more about relative error here

https://brainly.com/question/13370015

#SPJ4

The probability that an 11-bit string is a palindrome is 1 in 2048, or 0.00048828125%.

A group of characters known as a palindrome read the same both forward and backward

For an 11-bit string, there are 2048 possible combinations of 0s and 1s. Of those, only one combination is a palindrome. Therefore, the probability of randomly selecting an 11-bit string that is a palindrome is 1 in 2048, or 0.00048828125%.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

The equation of a circle with center  (1,-2) and radius 2 is ( x - 1 )² + ( y + 2 )² = 4.

The standard form of the circle is x² + y² = r²

Where r is the radius.

h and k is the horizontal and vertical translation which represent the center of the circle..

Hence, the formula is derived from the distance formula where the distance is between the center and every point on the circle is equal to the length of the radius.

( x - h )² + ( y - k )² = r²

Given that;

Center: (1,-2)

Plug the given values into the equation and simplify.

( x - h )² + ( y - k )² = r²

( x - 1 )² + ( y - (-2) )² = 2²

( x - 1 )² + ( y + 2 )² = 2²

( x - 1 )² + ( y + 2 )² = 4

Therefore, the equation of the circle is ( x - 1 )² + ( y + 2 )² = 4

Learn more  about equation of circle here: https://brainly.com/question/29288238

#SPJ1

The complete table of values of the proportional relationship is

A= 8, 24, 40

B= 3, 9, 15

From the question, we have the following parameters that can be used in our computation:

A= 8, _, 40

B= 3, 9, _

Calculate the constant of proportion using

constant = B/A

Substitute the known values in the above equation, so, we have the following representation

constant = 3/8

Substitute constant = 3/8 in constant = B/A

3/8 = B/A

So, we have

3A = 8B

When B = 9, we have

3A = 8 * 9

This gives

A = 24

When A = 40, we have

3 * 40 = 8B

This gives

B = 15

Read more about proportional relationship at

https://brainly.com/question/14425347

#SPJ1

Complete question

Complete the table such that a and b represent a proportional relationship

A= 8, _, 40

B= 3, 9, _

Answer:

-25

Step-by-step explanation:

[tex]-5^2=-25[/tex]

Answer:

1st and 3rd pictures are not functions. 2nd one is a function.

Step-by-step explanation:

Perform the Vertical Line Test by drawing a line in the functions. If they touch the function twice, they are not a functions. However, if the line touches once, it's a function.

The slope of the line shown in this graph is equal to: B. 1/2.

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided in the graph, we have the following points on the line:

Substituting the given points into the formula, we have;

Slope, m = (-2 - (-4))/(2 - (-2))

Slope, m = (-2 + 4)/(2 + 2)

Slope, m = 2/4

Slope, m = 1/2

Read more on slope here: brainly.com/question/1884491

#SPJ1

The mixed number between 2 and 10. I am nearer to 8 than 10 is 6 1/9, it  is an entire quantity, and a right fraction represented together.

A mixed fraction is an entire quantity, and a right fraction represented together. It commonly represents a range of among any  complete numbers. Look on the given image, it represents a fragment this is extra than 1 however much less than 2. It is thus, a mixed fraction. A fraction represented with its quotient and the rest is a combined fraction. For example, 2 1/three is a combined fraction, wherein 2 is the quotient, 1 is the the rest. So, a combined fraction is a aggregate of an entire quantity and a right fraction.

Thus, the mixed number if 6 1/9.

To learn more about mixed fraction check the link below:

https://brainly.in/question/13363056

#SPJ4

Answer:

B. Same-side interior angles

Step-by-step explanation:

Same Side interior angles are angles that are on the same side and add up to 180 degrees. So, the answer is B

Answer:

a

Step-by-step explanation:

60 hours in 7 days   =   60/7     hours per day

Answer:

A is correct

Step-by-step explanation:

I got it right on my test

The area under the curve r²=50sin2Θ is (15.71)unit square

A parabola is defined as a plane curve that is mirror-symmetrical and approximately U-shaped.

Given:

parabola is r²=50sin 2[tex]\theta[/tex],

where r=5

So, 5²=50 sin 2[tex]\theta[/tex],

Simplifying the equation

25=50 sin 2[tex]\theta[/tex],

sin 2[tex]\theta[/tex] = 1/2

2[tex]\theta[/tex] = [tex]sin^{-1[/tex] 0.5

[tex]\theta[/tex] = 15 degree.

Now, the Area = 22/7 × 5

Area = 15.71 unit²

Learn more about Area under a curve here:

brainly.com/question/24075649

#SPJ1

Answer:

177 - 51i

Step-by-step explanation:

[tex](-5+ i)(12- i)(-3).[/tex]

[tex](-5+ i)(12- i)[/tex]

[tex]-5X12-5(-i)[/tex]+[tex](-i)X12+(i)[/tex][tex](-i)[/tex]

[tex]-60+5i+12i-1i^{2}[/tex]

[tex]-60+5i+12i-1(-1)[/tex]

[tex]-59+17i\\(-59+17i)(-3)\\177-51i[/tex]

Hope it helps u:)

Answer:

[tex]177 - 51i[/tex]

Step-by-step explanation:

Given expression:

[tex](-5+i)(12-i)(-3)[/tex]

Use the FOIL method to multiply the first two parentheses:

[tex]\implies \left(-5 \cdot 12 -5 \cdot -i +i \cdot 12 + i \cdot -i\right)(-3)[/tex]

[tex]\implies \left(-60 +5i +12i -i^2\right)(-3)[/tex]

[tex]\implies \left(-60 +17i -i^2\right)(-3)[/tex]

Multiply:

[tex]\implies -60 \cdot -3 +17i \cdot -3 -i^2 \cdot -3[/tex]

[tex]\implies 180-51i+3i^2[/tex]

Apply the imaginary number rule:  i² = -1

[tex]\implies 180-51i+3(-1)[/tex]

Simplify:

[tex]\implies 180-51i-3[/tex]

[tex]\implies 177-51i[/tex]

The length of the bae of an iocele triangle i x. The length of a leg i 2x-3. The perimeter of the triangle i 44 then x= 10

since the triangle is isosceles then the 2 legs are congruent, that is both 2x - 3

the perimeter is the sum of the 3 sides , that is

x + 2x - 3 + 2x - 3 = 44

5x - 6 = 44 ( add 6 to both sides )

5x = 50 ( divide both sides by 5)

x = 10

hence The length of the bae of an iocele triangle i x. The length of a leg i 2x-3. The perimeter of the triangle i 44 then x= 10

learn more about of length here

https://brainly.com/question/29494729

#SPJ4

The center line, LCL, and UCL for the p chart that would be used for this processing step are 89%, 88.3%, and 89.7%, respectively.

The center line of a p chart is the average yield of good chips during a processing step, and is calculated as follows:

Centerline = average yield of good chips = 89%

The lower control limit (LCL) and upper control limit (UCL) for a p chart are calculated using the following equations:

LCL = average yield of good chips - 3 × standard deviation

UCL = average yield of good chips + 3 × standard deviation

To calculate the standard deviation, we need to know the number of chips per wafer (156 in this case). The standard deviation is calculated using the equation:

standard deviation = √(p × (1 - p) / n)

where p is the average yield of good chips (89% in this case), (1 - p) is the average yield of defective chips (11% in this case), and n is the number of chips per wafer (156 in this case).

Plugging the values for p, (1 - p), and n into the equation gives us:

standard deviation = √(0.89 × 0.11 / 156) = 0.0256

Substituting the standard deviation into the equations for the LCL and UCL gives us:

LCL = 89% - 3 × 0.0256 = 88.3%

UCL = 89% + 3 × 0.0256 = 89.7%

Learn more about integrated circuits at

https://brainly.com/question/13255274?referrer=searchResults

#SPJ4

Given A = rolling a number lower than 2

A six- sided bones has possible issues and 6. We also note that the only outgrowth lower than 2. probability of both issues is equal i.e. 50 or 1/2.

So, the probability of an event is Favorable issues Total number of issues. It's denoted with the gap i.e. P( Event) The possibility of the result of any arbitrary event is known as probability. This expression refers to determining the liability that any given circumstance will do. What are the chances of entering a head, for case, when we toss a coin in the air? The number of issues that could do is the base for the response to this question. The outgrowth in this case might be either head or tail. thus, there's a 50 chance that the result will be a head. The probability serves as a hand for how probably an event is to do. It gauges how likely an event is. The probability formula is as follows P( E) is equal to the rate of favourable issues to overall issues.

P( E) = n( E)/ n( S)

To know more about number please check the following link

https//brainly.com/question/13604758

#SPJ4

Answer: -3n + 18

Step-by-step explanation:

When examining the sequence, you can see that every time, it decreases by 3, therefore the first part of your rule should be:

-3n

(Extra note to wow your maths teacher! This is a linear sequence as it decreases/increases by the same amount each time.)

Next, you will need to find the number before the given sequence. As it decreases by 3 every time, to find the number before you need to increase by 3. Therefore, the next part you need is + 18.

Leave a comment if you don't understand anything :)

Answer:

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

Given sequence:

This is an AP, with the first term a = 15 and common difference of - 3, as it is decreasing by 3.

Use nth term equation for an AP:

The statements that are true are:

π is the area of a circle of radius 1.

π is the circumference of a circle of diameter 1.

π is the constant of proportionality relating the diameter of a circle to its circumference.

A circle is a two-dimensional figure with a radius and circumference of 2 x pi x r.

The area of a circle is given as:

We have,

Circumference of a circle = 2πr

Area of a circle = πr²

π is the area of a circle of radius 1.

Area = πr² = π x 1 = π

π is the area of diameter 1.

2r = 1

r = 1/2

Area = πr² = π x 1/4 = π/4

π is the circumference of a circle of radius 1.

Circumference of a circle = 2πr = 2 x π x 1 = 2π.

π is the circumference of a circle of diameter 1.

Circumference of a circle = 2πr = 2 x π x 1/2 = π.

π is the constant of proportionality relating the diameter of a circle to its circumference.

Diameter ∝ Circumference

2r = 2πr

2r = π (2r)

π is the constant of proportionality relating the radius of a circle to its area.

r = (πr)r

Thus,

π is the area of a circle of radius 1 is true.

π is the circumference of a circle of diameter 1 is true.

π is the constant of proportionality relating the diameter of a circle to its circumference is true.

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

[tex]\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{w}{4}~~ = ~~\cfrac{2}{~~1 \frac{2 }{3 } ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{2}{~~ \frac{5 }{3 } ~~}\implies \cfrac{w}{4}~~ = ~~\cfrac{\frac{2}{1}}{~~ \frac{5 }{3 } ~~}\implies \cfrac{w}{4}=\cfrac{2}{1}\cdot \cfrac{3}{5} \\\\\\ \cfrac{w}{4}=\cfrac{6}{5}\implies 5w=24\implies w=\cfrac{24}{5}\implies {\Large \begin{array}{llll} w=4\frac{4}{5} \end{array}}[/tex]

Answer:

The lengths of the two pieces are 7 cm and 14 cm.

Step-by-step explanation:

Let x represent the length of the longer piece of the rod. Since the lengths of the two pieces are in the ratio 7:2, the length of the shorter piece is 2x. The total length of the two pieces is therefore 7x + 2x = 9x. Since the total length of the two pieces is 63 cm, we have:

9x = 63

Dividing both sides by 9, we get:

x = 7

Thus, the length of the longer piece is 7 cm, and the length of the shorter piece is 2 * 7 = 14 cm. Therefore, the lengths of the two pieces are 7 cm and 14 cm.

Answer:Yes,

There is a direct proportional relationship

between the cost of items before tax and the

cost of items after tax.

5.0

Step-by-step explanation:

Given - A city has a 5% sales tax.

To find - Is there a proportional relationship

between the cost of items

before tax and the cost of items after

tax?

Proof

Yes, cost of items before tax is directly

proportional to cost of items after tax.

Reason

With the increase in the sales tax, there is

increase in the cost of items after tax, therefore,

there is a direct relation between cost of items

before tax and cost of items after tax.

Step-by-step explanation:

the Utopian treat valuable develop the central idea is the Utopians give valuables to children, who treat them as toys.

The central idea of the above passage is that the Utopians give valuables, such as diamonds and carbuncles to children, who treat them as toys. As such, the Utopians are delighted with these valuables, and glory in them during their childhood but lay them aside when they come to years.

learn more about of variable here

https://brainly.com/question/10240387

#SPJ4