Mary has a monthly salary of $1200. She spends $280 per month on food. What percent of her monthly salary does she spend on food?

Answer:

y=5

Step-by-step explanation:

the difference between the x coordinates of each point is 6. in order for the slope to simplify to 2/3 the difference in y should be 9.

y=9-4(y coordinates of A)

=5

Answer:

The probabilty is 1/2 for the coin and the probability is 1/6 for the die.

Hope this helps!

Step-by-step explanation:

Answer:

the posibility of getting a six on a die is 21/1 because there is 21 dot's on a die and getting a is 1/1 because there is only 2 sides hope this helps :)

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

Start off by remembering PEMDAS which first P means parenthesis so use distributive property to multiply the 2n + 4 by the 3 in front of it and do the same to the n + 1 and multiply that by the 5 in front which turns your question into 6n+12-2=1+5n+5 so now i'd combine like terms on both sides which now gives you 6n + 10 = 5n +6 so now to get the n on one side i'm going to sub tact it from both sides doesnt matter which one you do but to make it easier i'd subtract the 5n from the 6n because the whole point is to solve for n and by doing that you'd already be getting it by itself. so now the question should look like n + 10 = 6 so subtract 10 from both sides to isolate the n and you get your answer n = -4

Answer:

N = - 4

Step-by-step explanation:

3 (2n+4)-2=1+5(n+1

distribute 3 through the paretheses

6n+12-2=1+5n

add the numbers

6n+10=6+5n

move constant to the right-hand side and change its sign

6n-5n=6-10

calculate the difference

n = - 4

The number of different committees that can be formed is 495

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

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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In the cylinder , height of the water tank is 5.5 feet.

What is volume?

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. A cube, cuboid, cone, cylinder, or sphere can be one of these solids. Cubic units are used to measure the volume of solids. The volume will be given in cubic metres, for instance, if the dimensions are given in metres.

Given that,

A cubic foot contains roughly 7.48 liquid gallons.

We have to find what is roughly the height of a cylindrical water tank with a capacity of 1,500 liquid gallons and a radius of 3.4 feet.

We know that,

7.48 liquid gallons are contained in one cubic foot.

The cylindrical water tank's radius is 3.4 feet.

1,500 liquid gallons are the maximum capacity.

The cylindrical water tank's volume is calculated to hold 1500 liquid gallons ,

= \(\frac{1500}{7.48}\)

= 200.53 ft³

Volume of the cylinder= πr²h

=> 200.53= 3.14 ×3.4×3.4×h

=> 200.53 = 3.14 × 11.56 × h

=> 200.53 = 36.29 × h

=> h= 5.5

=> h= 5.5 feet (Approximately)

Therefore, height of the water tank is 5.5 feet.

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Answer:

The difference is 10

Step-by-step explanation:

Answer:

The difference is 10

Step-by-step explanation:

6+4=10

Since its a negative and the other is positive.

The height of the building can be  649.44 ft

What is angle of elevation ?

angle of elevation states that the angle which is formed between line of sight and horizontal line.

Given,  the base of the triangle is 1.75 mile. The angle opposite of the tall side, x, is 4 degrees.

height of the building is an unknown variable (x) .

tan(angle) = opposite length /adjacent length.

Opposite length is x, adjacent length is 1.75 mile, angle is 4 degrees.

tan(4º) = x / 1.75

rearrange for x

x = 1.75*tan(4º) = ~1.75*0.0699  miles.

x = ~0.123

Now to get feet, just multiply by 5,280 ft in one mile

Height of the building is 0.123 miles * 5280 ft/mile = 649.44 ft

Hence , The height of the building can be  649.44 ft .

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"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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The second approximation x2 is 2.875

and the third approximation x3 is 2.806

The root of the equation = \(4x^7 + 5x^4 + 3 = 0\)

using Newton's method.

The initial approximation x1 = 3.

Calculate the function value and derivative at x1:

\(f(x1) = 4(3)^7 + 5(3)^4 + 3 = 4083\\f'(x1) = 4(7)(3)^6 + 5(4)(3)^3 = 32640\)

We then apply Newton's method formula to find x2:

\(x_2 = x_1 - f(x_1)/f'(x1)\\x_2 = 3 - 4083/32640 = 2.875\)

\(f(x2) = 4(2.875)^7 + 5(2.875)^4 + 3 \\f(x2) = 46.48\\f'(x2) = 4(7)(2.875)^6 + 5(4)(2.875)^3 \\f'(x2) = 603.75\)

x3 = x2 - f(x2)/f'(x2)

x3 = 2.875 - 46.48/603.75

= 2.806

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_________________

1. Line up the numbers to multiply.

     2 4

x    8 3

-----------

2. First, start with multiplying 3 by 4, which is 12. So, you would write it as shown.

     1

     2 4

x    8 3

-----------

       2

3. Then, multiply 3 by 2, which is 6. Remember to add 1, which is 7.

     1

     2 4

x    8 3

-----------

     7 2

4. Now, multiply 8 by 4, which is 32. You would write it as follows.

     3

     1

     2 4

x    8 3

-----------

     7 2

     2

5. Next, add 3 and 2, which is 5. Then multiply 5 by 8, which is 19.

  1   3

      1

      2 4

x     8 3

-----------

     7 2

 9  2

6. Then, drop down the 1 to the left of 9, and fill in the empty spaces with 0. Add the two and you have your final answer.

  1   3

      1

      2 4

x     8 3

-----------

  0 0 7 2

+  1 9 2 0

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

   1 9 9 2 ← Final Solution

___________________________________________

Hope this helps!

Answer:

um, there are no options but i would think that it being a lake, you would want either miles or kilometers

Step-by-step explanation:

Answer:

Hello, the answer is 6, C.

Step-by-step explanation:

50 percent of 12 is 6.

Answer:

a. 30 percent.

Step-by-step explanation:

Given that:

The standard deviation of returns = 20 percent

Beta = 1.5

Beta=Standard deviation of portfolio × correlation/Standard deviation of market × Correlation

Since Correlation with the market will be +1;

Then;

The Standard deviation of portfolio = 1.5 × 20%

The Standard deviation of portfolio = 30.00%

The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

y= -3x + 3

Step-by-step explanation:

the point given tells you the y-int

given that y=mx + b, you can plug in the values

y= -3x + 3

The probability of pulling out a number which is divisible by 2 or 3 will be 7/10 which is not given here. So, option D will be the answer.

How do we find Probability?

The measurement through which we find the likelihood of an event to occur is called probability. We cannot predict a lot of events with total certainty. And thus, the chance of a event to occur (i.e. how likely they re going to happen) can be predicted using probability.

Probability of any event to happen can be find as: No of favorable outcomes/Total number of outcomes.

Here,

The total no of outcomes = 1,2,3,4,5,6,7,8,9,10

No of favorable outcomes ={2,3,4,6,8,9,10} = 7

Therefore, P(E) = 7/10

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Answer:

Yes, it is a function.

Step-by-step explanation:

As long as there are no more than one point in a single x-value, it is considered a function.

The location of point A''' after the three transformations would be (-4, 1).

To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.

When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.

So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).

When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).

When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).

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Answer:

Step-by-step explanation:

The answer is, no!

Step-by-step explanation:

The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.

So, here is the given information on what we need to classify a shape as a parallelogram:-

1) Parallel Sides

2)Opposite Sides are equal.

3) Adjacent sides are not equal.

4) Opposite angles are equal.

5)Adjacent angles are not equal.

Based on this, we can classify a shape as a parallelogram.

Hope, this answer helps!

\(\\ \bull\sf\dashrightarrow Radius=\dfrac{Diameter}{2}\)

Now

\(\\ \bull\sf\dashrightarrow Radius_1=\dfrac{7.8}{2}=3.9\)

\(\\ \bull\sf\dashrightarrow Radius_2=\dfrac{8.4}{2}=4.2\)

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card, if Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

A formula that expresses the connection between two expressions on each side of a sign is called equation. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

Given,

Samuel and Jason spent 3/4 of their combined earnings from 100 by gift.

Samuel and Jason's profits as of Wednesday are as follows:

Earnings for Samuel:

12.5 x 40  

$5.

Earnings for Jason are

7.1 x $0.40

$2.84.

The total revenue for Wednesday is:

Samuel's and Jason's combined incomes are equal.

Earnings totaled

$5 + $2.84 = $7.84

The money that was spent is:

Total income multiplied by 34 equals spent income.

Earnings spent = 7.84 x 1/4

Earnings spent =  $5.88

The remainder is:

Equation

Leftover = Total Earnings - Spent Earnings

7.84 - 5.88 =  $1.96 in leftovers.

They spend $5.88 on a gift, but there is not enough money left over to spend $3.25 on a card.

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Answer:

Hello!!

The value of y in the equation \(-13=\frac{y}{3} -15\) is...

\(y=6\)

Step-by-step explanation:

To solve for the variable y, you must simplify both sides of the equation then isolating the variable.

Hope this helps!!

The measure of the angle x is 30 degree if the triangle is an equilateral triangle.

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have a circle in which a triangle is formed.

Here is the length of the triangle is same, means it is an equilateral triangle.

Each angle in equilateral triangle = 60 degree

The radius and the one tangent, making an angle of 90 degree

Taking bigger triangle:

Total sum of angles in triangle = 180 degree

x = 180 – 90 -60

x = 30 degree

Thus, the measure of the angle x is 30 degree if the triangle is an equilateral triangle.

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^ not to scale

171 - 93 = 78

height of 78, width of 19.5, what is the slope

78/19.5 = 4

the last option, 4

The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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Answer: i cant see thw whoke length but if both are 8 if 32

Step-by-step explanation:

8 × 2 16 then if the other sides 8 8×2 = 16 16+16 =32