Michael had $550 in his savings account. He took out $30.75 every month for one year. What is the net change in Michael’s account balance following these withdrawals?
A.
-$519.25
B.
-$369
C.
$369
D.
$519.25

Answer:

5/6

Step-by-step explanation:

10:12 can also be expressed as a fraction which is 10/12  then simplify, divide each number by 2 and you will get 5/6

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Answer:

ok well im not sure but just guess

Step-by-step explanation:

Answer: for part B = 732 seconds or 12.2 minutes

Step-by-step explanation: 36 seconds times the amount of small photos 12 = 432 plus 60 seconds times the amount of large 5 photos = 300 , 432 plus 300 equals 732 seconds

(36 x 12) + (60 x 5) = 732

Answer:

268.8

Step-by-step explanation:

Let the sides of the base triangle be:

a = 8.8 cm

b = 5.7 cm

c = 6.8 cm

Let h be the length

h = 10.8 cm

The surface area is given by:

\(SA = (a + b + c)*l + 2\sqrt{ s(s - a)(s - b)(s - c)}\)

Where

\(s = \frac{a + b + c}{2} \\\\= \frac{8.8 + 5.7 + 6.8}{2} \\\\=\frac{21.3}{2} \\\\= 10.65\)

\(SA = (a + b + c)*l + 2\sqrt{ s(s - a)(s - b)(s - c)}\\\\= (8.8 + 5.7 + 6.8)*10.8 + 2\sqrt{ 10.65(10.65 - 8.8)(10.65 - 5.7)(10.65 - 6.8)}\\\\= 21.3*10.8 +2\sqrt{ 10.65(10.65 - 8.8)(10.65 - 5.7)(10.65 - 6.8)}\\\\=230.04 + 2\sqrt{ 10.65(1.85)(4.95)(3.85)}\\\\=230.04 + 2\sqrt{ 375.48}\\\\= 230.04 + 2*19.38\\\\=230.04 +38.76\\\\=268.8\)

In the given origami of the two dimensional figure , the value of angle 2 is 70° and the value of angle 1 is 110 °

Parallel lines are straight lines that do not intersect at any point in geometry.

Parallel planes are three-dimensional pathways that never intersect. Parallel curves do not touch or intersect and have a fixed minimum distance.

From the figure we can see that m∠1 = 4x-30 as they are vertically opposite angles.

Again m∠1 = 3x+5 as they are corresponding angles from the pair of parallel lines.

now let us solve the linear equation to calculate the value of x.

3x+5 = 4x-30

or, -x = -35

or, x = 35

Now

m∠1 = 3x+5 = 110

Therefore m∠2 = 180 -110 = 70 ( straight angle formed whose sum is 180)

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The solution to the system is x = -6 and y = 4.

To solve the system by the addition method, we want to add the equations together in a way that will eliminate one of the variables.

Let's start by multiplying the first equation by -3 to get -3x - 9y = -18, and then add the second equation to it:

-3x - 9y = -18

+ 3x + 4y = -2

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

    -5y = -20

Now we can solve for y by dividing both sides by -5:

y = 4

We can substitute y=4 into one of the original equations, say x+3y=6, to solve for x:

x + 3(4) = 6

x + 12 = 6

x = -6

So the solution to the system is x = -6 and y = 4.

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KN/NM = KL/LM

4/NM = 8/5

cross-multiply

Divide both-side of the equation by 8

Answer:

$85.47

Step-by-step explanation:

Before tax and before tip: $74

Tax is 5%.

5% of $74 = 0.05 × $74 = $3.70

Cost including tax (but not tip): $74 + $3.70 = $77.70

After tax but before tip: $77.70

Tip is 10%.

10% of $77.70 = 0.1 × $77.70 = $7.77

Total price after tax & tip:

$77.70 + $7.77 = $85.47

The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.

To determine the sequence of transformations, let's break down the given function:

1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.

2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.

3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.

4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.

5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.

In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.

Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.

After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)

This example helps illustrate the effect of the transformations on the graph of the function.

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Answer:

61,880

Step-by-step explanation:

10^4= 10,000

move the decimal 4 times

236/100, 59/25, or 2 9/25

Step-by-step explanation:

There are 100 cents in a dollar, so 236/100 is your starting fraction. The simplest improper fraction would be 59/25. But if you're looking for a mixed number, you get 2 9/25.

236 cents is equivalent to 118/50 or 2.36 dollars as a fraction of a dollar.

To solve this problem,

We need to convert 236 cents into dollars.

Since there are 100 cents in one dollar,

we can divide 236 by 100 to get the equivalent dollar value.

⇒ 236 cents ÷ 100 cents per dollar = 2.36 dollars

Now that we know that 236 cents is equivalent to 2.36 dollars,

we can express it as a fraction of a dollar.

To do this, we'll use the fact that one dollar is equivalent to 100 cents, which means that one dollar can be expressed as the fraction 100/100.

To find the fraction of a dollar that 2.36 dollars represents,

we'll divide 2.36 by 1.

⇒ 2.36 ÷ 1 = 2.36/1

To express this as a fraction of a dollar,

Multiply both the numerator and denominator by 100 to get,

⇒ (2.36 x 100) / (1 x 100) = 236/100

Simplifying this fraction, we get,

⇒ 236/100 = 118/50

Therefore,

236 cents is equivalent to 118/50 or 2.36 dollars as a fraction of a dollar.

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The selling agent received $4,900 in cοmmissiοn.

The wοrd cοmmissiοn has several very different meanings, but in its mοst basic meaning, cοmmissiοn is the act οf passing a respοnsibility tο sοmeοne else. If yοu receive a gοvernment cοmmissiοn, that means yοu have been assigned a task by the gοvernment.

Anοther cοmmοn meaning οf cοmmissiοn is the amοunt οf mοney an emplοyee earns when they sell sοmething: In additiοn tο his salary, he gets a 1% cοmmissiοn οn each sale. A cοmmissiοn is alsο an οrder fοr sοmeοne tο dο sοmething and get paid: The artist received a cοmmissiοn fοr a new painting tο hang in the building lοbby. And a cοmmissiοn is a high-ranking pοsitiοn in the armed fοrces, οr a special cοmmittee that cοntrοls οr investigates sοmething.

In prοblem #2, we fοund that the selling price οf the hοme is $245,000.

The cοmmissiοn received by the selling agent is 2% οf the selling price:

2% οf $245,000 = 0.02 x $245,000 = $4,900

Therefοre, the selling agent received $4,900 in cοmmissiοn.

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Scores between 23 & 59 will give Paul a C for the semester (an average between 70 and 79).

The sum of the scores on the first three, hundred point tests

= 82 + 88 + 87 = 257.

The total score required in four 100-point tests to get an average score of 70 = 70X4= 280.

The total score required in four 100-point tests to get an average score of 79 = 79X4= 316.

Therefore, the score on the fourth test should be between (280-257) & (316-57) i.e, 23 & 59 to get an average score of 70 & 79.

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Answer:

c

Step-by-step explanation:

I I don't even know why it seems I just chose that because

The distance between (4, 3) and (9, 15) on the coordinate plane is 13 units.

The distance between two points is defined as the length of the line segment between two places representing their distance. Most significantly, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.

The formula of distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁)².

We have to determine the distance between (4, 3) and (9, 15) on the coordinate plane.

As per the question, the required distance would be as:

distance = √ (9 – 4)² + (15 – 3)²

distance = √ (5)² + (12)²

distance = √ (25 + 144)

distance = √ 169

distance = 13 units

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Answer:

-39

Step-by-step explanation:

Hello, to do this problem, we need to use substitution.

c=-4 and x=7

-5x+c

-5(7)+-4

-35-4

=-39

Hope that helps

:D

Answer:

c = -4

x = 7

- 5 (7) + (- 4)

- 35 + (- 4)

= - 39

Hope this helps :)

Solution

The answer is

The equation of line that passes through (2,3) and (-2,5) is y  = (-1/2)x + 4.

The point-slope form is expressed as;

( y - y₁ ) = m( x - x₁ )

Where m is slope, x₁ and y₁ are the coordinates of the point .

Given the data in the question;

Point 1 (2,3)

Point 2 (-2,5)

First, determine the slope.

Slope m = (y₂ - y₁)/(x₂ - x₁)

Slope m = ( 5 - 3 ) / ( -2  - 2)

Slope m = 2 / -4

Slope m = -1/2

Plug the slope m = -1/2 and point (2,3) into point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

( y - 3 ) = (-1/2)( x - 2 )

y - 3 = (-1/2)x - (-1/2)2

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

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

y  = (-1/2)x + 4

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

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Answer: Heyaa!~

                  - Write 63 as the product of prime factors -

              - Write the prime factors in ascending order -

         -   what's the highest common factor of 63 and 105   -

             Hopefully this helps you! ^^^

The value of the expression 8 / m - 11 / 3m is  13 / 3m

8 / m - 11 / 3m

Therefore,

8 / m - 11 / 3m

The factor of the denominator is 3m

Therefore,

8 / m - 11 / 3m = 3(8) - 11/ 3m

3(8) - 11/ 3m = 24 - 11 / 3m

24 - 11 / 3m = 13 / 3m

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The amount owed after 5 years is $3034.12

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that,

Principal amount = $2000

Rate = 17.5%

N = 1

Now,

Since,  The formula for annual compound interest ,including principal sum is;

\(A = P (1 + r)^t\)

Where,

A= The future value of the investment / loan , including interest

P = The principal investment amount ( the initial deposit or loan amount )

r = the annual interest rate (decimal)

n= the number of time that interest is compounded per year

t= the number of years the money is invested  or borrowed  for

Here,

We have to found annually;

P= 2000

r = 17.5%=0.175

n = 1

t = 5

A = 2000(1+0.175/2)⁵

  = 2000(1.0875)⁵

  =2000( 1.51756)

  =  3034.12

Thus, The amount owed after 5 years is $3034.12

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Answer:

8

Step-by-step explanation:

Let us label these coordinates for our own ease:

A(0,0)

B(0,4)

C(4,5)

Area= [Ax(By-Cy)+Bx(Cy-Ay)+Cx(Ay-By)]÷2

Area = [0(4-5)+0(5-0)+4(0-4)]÷2

Area= [0+0-16]÷2

Area = -8

But since the value can not be negative we have consider a modulus in the formula, thus the value is 8

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

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Answer:

rat

Step-by-step explanation:

Answer:

y = - 3

Step-by-step explanation:

the midline is a horizontal line positioned midway between the maximum and minimum values of the graph.

maximum = - 1 and minimum = - 5

then

(- 1 + (- 5)) ÷ 2 = (- 1 - 5) ÷ 2 = - 6 ÷ 2 = - 3 so equation of midline is

y = - 3

Answer:

first you need to find the number-x

42% is equal to 0,42

( 100% .... 1

42% ..... y )

so 0,42 * x = 64,26 x = 64,26 / 0.42 = 153

so x = 153 is your number

then you have to calculate all % the same way:

10,5% equals to 0,105 ... 0,105 * 153 = 16,065

21% equals to 0,21 ... 0,21 * 153 = 32,13

63% ..96,39

84% ..128,52

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

\(Set = 14\ 16\ 18\ 20\ 22\)

From the above set of numbers, we have the following observations

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

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The mean of the test is 20.

To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.

Let's denote the mean of the test as μ, and the standard deviation as σ.

We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:

29 = μ + 3σ

Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:

23 = μ + σ

Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.

From the second equation, we can isolate μ:

μ = 23 - σ

Substituting this value into the first equation, we have:

29 = (23 - σ) + 3σ

Simplifying the equation, we get:

29 = 23 + 2σ

2σ = 29 - 23

2σ = 6

σ = 3

Substituting the value of σ back into the second equation, we find:

μ = 23 - 3

μ = 20

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Answer:

A

Step-by-step explanation: Hope it HELP