A $102.00 item is marked down by 73%.
What is the new cost of the item??
$

[tex]\textit{Law of Cosines}\\\\ \cfrac{a^2+b^2-c^2}{2ab}=cos(C)\implies cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)=\measuredangle C \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2(90)(55)}\right)=\measuredangle C\implies cos^{-1}\left( \cfrac{8625}{9900} \right)=\measuredangle C \\\\\\ cos^{-1}\left( \cfrac{115}{132} \right)=\measuredangle C\implies 29.4^o\approx \measuredangle C[/tex]

Answer:

C=29.4°

Step-by-step explanation:

[tex]c=50\:ft\\\\a=90\:ft\\\\b=55\:ft[/tex]

Using law of Cosines

[tex]C=cos^{-1}\left(\cfrac{a^2+b^2-c^2}{2ab}\right)\\\\C=cos^{-1}\left(\cfrac{90^2+55^2-50^2}{2*90*55\right)}\\\\C=29.4^{o}[/tex]

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Using the future value formula, it is found that $546,148,903,191,724.25 will be in Devon's account.

It is given by:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

In which:

In this problem, the parameters are as follows: P = 587, r = 0.0525, n = 40 x 12 = 480.

Hence:

[tex]V(n) = P\left[\frac{(1 + r)^{n-1}}{r}\right][/tex]

[tex]V(480) = 587\left[\frac{(1 + 0.0525)^{480-1}}{0.0525}\right][/tex]

[tex]V(480) = 546,148,903,191,724.25[/tex]

$546,148,903,191,724.25 will be in Devon's account.

More can be learned about the future value formula at https://brainly.com/question/5025949

all you really need to do is find the common denominator and it'll get you an answer for the numerator.

Answer:

13/15

Step-by-step explanation:

You first need to find the common denominator between both 3 and 5, so you have to find the number that would be the best, which is 15. Then you have to multiply the numerator by how many times you went up for that number, for 2/3 would be times 5, and 1/5 would be times 3. Doing this will get you your answer, 13/15.

The ratio p:9 is equal to 50:9 = [tex]\frac{50}{9}[/tex].

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

For solving this equation, firstly, rewrite the information given:

                                          [tex]\frac{p-5}{q-5}=\frac{9}{1} \;(1)\\ \\\frac{p+20}{q+20}=\frac{7}{3} \;(2)[/tex]

From equation 1, you have:

                                        [tex]p-5=9q-45\\ \\ p=9q-40[/tex]

And from equation 2, you have:

                                  [tex]3*(p+20)=7*(q+20)\\ \\ 3p+60=7q+140\\ \\[/tex]

Now, substitute p=9q-40 in 3p+60=7q+140

                                 [tex]3p+60=7q+140\\ \\3*(9q-40)=7q+140\\ \\ 27q-120=7q+140\\ \\ 20q=20\\ \\ q=10[/tex]

If q=10 for p=9q-40,  you will have:

                                [tex]p=9q-40\\ \\ p=9*10-40\\ \\ p=90-40\\ \\ p=50[/tex]

Therefore, the ratio  [tex]\frac{p}{9}[/tex]  is equal to [tex]\frac{50}{9}[/tex].

Learn more about the system of equations here:

https://brainly.com/question/384631

Answer:

your answer is Option B.2b

The bicycle wheel revolving is a illustration of circumference

The bicycle wheel revolves 4000 times

The given parameters are:

Radius (r) = 40 cm

Distance =10 km

Start by calculating the circumference of the wheel

[tex]C =2\pi r[/tex]

This gives

[tex]C =2 * 3.142 * 40[/tex]

[tex]C =251.36[/tex]

The number of times to cover a distance of 10 km is then calculated as:

[tex]n =\frac{10km}{251.36cm}[/tex]

Evaluate the quotient

[tex]n =3978.35773[/tex]

Approximate

[tex]n =4000[/tex]

Hence, the bicycle wheel revolves 4000 times

Read more about circumference at:

https://brainly.com/question/15673093

Answer:

3,864

Step-by-step explanation:

138/400×11200

=0.345×11200

=3,864

Answer:

D

Step-by-step explanation:

calculated the equation and the expanded form

Answer:

jaca

Step-by-step explanation:

Answer:

I'm thinking that the answer is option D

Answer:

Every input has exactly one output

Step-by-step explanation:

The easiest definition of function is

If R is relation between (x,y) then

It simply means that every domain has an unique range

Answer:

[tex](x + y)(a + b) - (y + z)(a + b) \\xa + xb + ya + yb - (ya + yb + za + zb \\ \\ = xa + xb + ya + yb - ya - yb - za - zb \\ = xa + xb - za - zb \\ = a(x - z) + b(x - z) \\ = (x - z)(a + b)[/tex]

A line that is perpendicular to a line with slope m has slope -1/m which is the opposite reciprocal of the original slope.

In this case the original line in standard form is

2x-4y=-8

transform this into slop intercept form

-4y=-2x-8

4y=2x+8

y=(1/2)x+2

The slope of this original line is 1/2 therefore the perpendicular line will have slope -2

y'=2x'+b

then substitute in the order pair (x',y')

1=2(-2)+b

b=5

Therefore equation of line is

y=2x+5

The graph is just following this equation!

If you have any questions about my explanation please ask I will answer them to the best of my ability.

Answer:

×=4,y=5&/$jfugdji6eg7mghhtbm the best way is to get the latest news

Answer:

Continuous

Step-by-step explanation:

Its continous because after each day you take the same  amount away and due to that it will be continous.

Answer:

6

Step-by-step explanation:

80% of 30 is 24 so the price now is 6

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

6/9 can be simplified into 2/3 by dividing both the numerator and the denominator by the greatest common factor, 3.

Answer:

4,849

Step-by-step explanation:

1010+3839=4849

Answer:

4,849

Step-by-step explanation:

Brainliest please

Answer:

20x1=20

Step-by-step explanation:

The product of 1 and any number is the number.

Answer:

20x1=20

Step-by-step explanation:

the identity property says whatever the number gets multiplied by 1 would've that number . hope this helpssss . brainliest ?

Answer:

The answer is 112

Step-by-step explanation:

((58 x 28) / 10) + 100 - 2

Answer:

Привет, как ты?

самый умный я

Answer:

x [tex]\leq[/tex] 100

Step-by-step explanation:

less than or equal to= at most

Answer: T

Step-by-step explanation:

By the alternate interior angles theorem, the given statement is true.

Check the picture below.

Answer: 7 dollars

Step-by-step explanation:

You can use a math calculator do 13 + -6

Answer:

10.7222222

Step-by-step explanation:

965 / 53 - 42 + 79

965 / 11 + 79

965 / 90

= 10.7222222

Answer:

First Equation: One Solution

Second Equation: Infinite Solutions

Third Equation: One Solution

Step-by-step explanation:

Let's solve these equations step by step.

[tex]-2x+3=-3x+2\\[/tex]

Subtract 2 and add 2x

[tex]1=-x\\x=-1[/tex]

The only solution here is -1.

[tex]-2x+3=-2x+3[/tex]

Anytime the equations are the same on both sides, we have infinite solutions.

Add 2x

[tex]3=3[/tex]

Any value of x will satisfy this equation.

[tex]-2x+3=2x+3[/tex]

Add 2x and subtract 3

[tex]4x=0\\x=0[/tex]

The only solution here is 0.

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