You are running a small business. At the beginning of the month you have $1000. At the end of the first week you have revenues of $2200 and expenses of $1000 for that week. In the second week your revenues are $2000 and your expenses are $700. In the third week your revenues are $2100 and your expenses are $1100. In the fourth week, your revenues are $2200 and your expenses are $3000 (they are higher as you need to pay the rent). You have a checking account earning 1% annually compounded weekly. a) How much money do you have at the end of the four weeks? b) What is the minimum balance of the account over those four weeks? Does it ever drop below $1000?

Answer:

Step-by-step explanation:

U={x|x∈N and x<10}

or U={1,2,3,4,5,6,7,8,9}

B={x|x∈N and x is even and x<10}

or

B={2,4,6,8}

C={x|x∈N and x<10}

or

C={1,2,3,4,5,6,7,8,9}

(B∩C)={2,4,6,8}

(B∩C)'={1,3,5,7,9}

Answer:

Hope you can understand my handwriting though

The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.

Two ratios are said to be equal when a proportion is stated. Ratios, which can be written as a fraction or a colon, are used to compare two objects or values. For instance, a class might have a boy to girl ratio of 2:3 or 2/3. A percentage is an equation proving the equality of two ratios. The formula is a/b = c/d, where a, b, c, and d are all numerical values or variables. Numerous branches of mathematics, science, and daily life, including banking, engineering, and cookery, require proportions.

Given that, it takes the principal 30 seconds to sign 4 diplomas.

Setting the proportion we have:

30 seconds / 4 diplomas = x seconds / y diplomas

x = 7.5y

Substituting the values of x and y from the table we have:

For y = 12

x = 7.5(2) = 90

Similarly, for y = 20:

x = 7.5(20) = 150

For x = 210:

210 = 7.5y

y = 28

The complete values of the table for time taken to sign the diploma are: Seconds | 30 | 90 | 150 | 210; Diplomas | 4 | 12 | 20 | 28.

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The complete question is:

The inverses of the following block matrices i 0 c i , a 0 c d , and 0 i i d (assuming they exist) are correct.

To find the inverse of a block matrix, we need to use the following formula:

[A B]

[C D] ^ -1 = 1 / (AD - BC) * [D -B]

[-C A]

where A, B, C, and D are matrices of appropriate sizes and AD - BC is the determinant of the matrix [A B; C D]. If the determinant is zero, the matrix is singular and has no inverse.

(a) [i 0; c i]

The determinant of this matrix is i * i - 0 * c = -c. Since the determinant is non-zero for any non-zero value of c, the matrix has an inverse. Using the formula, we have:

[ i 0 ]

[ c i ] ^ -1 = 1 / (-c * i - 0 * 0) * [ i 0 ]

[-c i ]

= -1 / c * [ i 0 ]

[-c i ]

= [ -1/c 0 ]

[ 0 -1/c ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ i 0 ]

[ c i ] * [ -1/c 0 ] = [ 1 0 ]

[ 0 1 ]

and

[ i 0 ]

[ c i ] * [ 0 -1/c ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

(b) [a 0; c d]

The determinant of this matrix is ad - 0 * c = ad. Since the determinant is non-zero for any non-zero values of a and d, the matrix has an inverse. Using the formula, we have:

[ a 0 ]

[ c d ] ^ -1 = 1 / (ad - 0 * c) * [ d 0 ]

[ -c a ]

= 1 / ad * [ d 0 ]

[ -c a ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ a 0 ]

[ c d ] * [ d/ad -c/ad ] = [ 1 0 ]

[ 0 1 ]

and

[ a 0 ]

[ c d ] * [ 0 1/ad ] = [ 0 1 ]

[ 0 0 ]

So the inverse is correct.

(c) [0 i; i d]

The determinant of this matrix is 0 * d - i * i = -1. Since the determinant is non-zero, the matrix has an inverse. Using the formula, we have:

[ 0 i ]

[ i d ] ^ -1 = 1 / (-1) * [ d -i ]

[-i 0 ]

= [ -d -i ]

[ i 0 ]

To check this inverse, we need to multiply the matrix by its inverse and see if we get the identity matrix:

[ 0 i ]

[ i d ] * [ -d -i ] = [ 1 0 ]

[ 0 1 ]

and

[ 0 i ]

[ i d ] * [ i 0 ] = [ 0 1 ]

[-1 0 ]

So the inverse is correct.

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Given problem:

   Which value cannot represent the probability of an event occurring?

      Values:

            \(\frac{1}{100}\)    0.29    \(\frac{85}{100}\)   Three-halflity

Probability is the likelihood of an event to occur.

For an event that we are sure of occurring, the probability value is 1, and those that cannot occur have a probability value of 0.

  The probability of any event is usually a fraction between 1 and 0.

So we can see that the odd one is the  Three-halflity which is clearly greater than 1.

Answer:

D 3/2

Step-by-step explanation:

Answer:

  5 sets

Step-by-step explanation:

The average number of pieces per set is the ratio of the total number of pieces to the total number of sets.

Let x represent the number of 3-piece sets. Then the total number of pieces is ...

  3x +5(5) +10(2) = 3x +45

The total number of sets is ...

  x +5 +2 = x +7

We want the ratio of these numbers to be 5 pieces per set:

  (3x +45)/(x +7) = 5

  3x +45 = 5x +35 . . . . . multiply by (x+7)

  10 = 2x . . . . . . . . . . subtract (3x+35)

  5 = x . . . . . . . . . divide by 2

Divya owns 5 sets with 3 pieces.

_____

Alternate solution

Each 10-piece set has 5 more pieces than average, so the two of them total 10 more pieces than average.

Each 3-piece set has 2 fewer pieces than average. The total number of 3-piece sets must have a total of 10 fewer pieces than average in order to balance the excess of the 10-piece sets. That is, there must be 10/2 = 5 of the 3-piece sets to have a total lof 10 fewer pieces than average.

Altogether, the differences from average must total zero.

Answer: To write a percentage as a decimal, simply divide it by 100. For example, 50% becomes 0.5, 20% becomes 0.2, 1% becomes 0.01 and so on. We can calculate percentages using this knowledge. 50% is the same as a half, so 50% of 10 is 5, because five is half of 10 (10 ÷ 2).

Step-by-step explanation:

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

\(y=-4x^2-x+3\)

\(y=-4(0)^2-(0)+3\)

Order of operations requires exponents before multiplication, or addition & subtraction...

\(y=-4(0)-(0)+3\)

multiplication...

\(y=0-0+3\)

addition & subtraction, from left to right...

\(y=3\)

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": \(y=ax^2+bx+c\), where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, \(y=-4x^2+-1x+3\), where \(a=-4, ~b=-1 ~ \text{and}~c=3\)

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

Answer:

5; -22

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional.

Given the following data;

Input: 1 2 3 4 n

Output: -10 -13 -16 -19

For an input variable of 1, 2, 3, 4; the output variable is -10, -13, -16, -19 respectively.

To find the value of n;

We can deduce that the input is increasing by a value of 1.

Thus, n = 4 + 1 = 5

For the output;

We can deduce that the output is increasing by a value of -3.

Thus, the next output = -19 + (-3) = -22

Answer:

5; -22

Step-by-step explanation:

Hope this will help

Answer:

10 tomatoes (bottom fruit) - 9 kiwis (top fruit) = 1 tomato

10-9=1

Step-by-step explanation:

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

The doctor had the opinion about the boy that it world

hare been better is he had velict

Answer:

calculator gave me 6.5732

Step-by-step explanation:

The ratio of the given 240 kg to 6 kg will be 40:1.

What is Ratio?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings. Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

the ratio 240 kg to 6 kg.

It will be simple 240/6 :: 40 :1

Hence the ratio of the given data will be 40:1

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The expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

To calculate for the volume of a rectangular base pyramid, we use the formula:

volume = 1/3 × area of base rectangle × height

volume of one identical pyramid = (1/3 × 5 × 0.5 × 2)cubic units

volume of the two identical pyramid = 2(1/3 × 5 × 0.5 × 2)cubic units.

Therefore, the expression that will represent the volume of the identical rectangular base pyramid is: 2[One-third (5) (0.25) (2)] cubic units.

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Answer:

5c = 24.75

Step-by-step explanation:

5c = 24.75  If you divide both sides by 5, you will find out how much each movie cost.

\(\frac{5c}{5}\) = \(\frac{24.75}{5}\)

c = 4.95

Each movie cost $4.95 to rent.

Answer:

25, 25, 22.5, 22

Step-by-step explanation:

It gives you a hint; K = y/x. They give you what x and y are so use that to solve for the last row.

We are given all of these values:

x -> 2, 3, 4, 5

y -> 50, 75, 90, 110

Use the formula given and solve for K.

50/2 = 25

75/3 = 25

90/4 = 22.5

110/5 = 22

Best of Luck!

Answer : Life Insurance

Explanation : Have A Good Day

◊ YusuCr ◊

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

Option C is the correct answer.

An employee's paycheck is a document issued by an employer that lists the amount of money an employee has earned during a certain pay period and the amount of money that has been withheld for taxes, insurance, and other deductions.

It also includes the net amount of money that the employee is entitled to receive after all deductions have been made.

We have,

Life insurance is an optional deduction for money to be taken out of an employee's paycheck.

The other options listed (Federal income tax, Medicare, and Social Security) are typically mandatory deductions required by law.

Thus,

The optional deduction for money to be taken out of an employee's paycheck is life insurance.

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Answer:Therefore, the equation of the line with a slope of 9/7 and containing the midpoint of the line segment with endpoints (2, -3) and (-6, 5) is:

y = (9/7)x + 25/7.

Step-by-step explanation:Step 1: Find the midpoint of the line segment.

The midpoint formula is given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

Given the endpoints of the line segment as (2, -3) and (-6, 5), we can find the midpoint as follows:

Midpoint = ((2 + (-6)) / 2, (-3 + 5) / 2)

Midpoint = (-4 / 2, 2 / 2)

Midpoint = (-2, 1)

So, the midpoint of the line segment is (-2, 1).

Step 2: Write the equation of the line using the slope-intercept form.

The slope-intercept form of a line is given by:

y = mx + b

where m is the slope and b is the y-intercept.

Given the slope as 9/7, we have:

y = (9/7)x + b

Step 3: Substitute the coordinates of the midpoint to find the value of b.

Using the coordinates of the midpoint (-2, 1), we can substitute these values into the equation:

1 = (9/7)(-2) + b

1 = -18/7 + b

To find the value of b, we can solve this equation:

1 + 18/7 = b

25/7 = b

Step 4: Write the final equation of the line.

Using the value of b, the equation becomes:

y = (9/7)x + 25/7

Answer:

q' (5,6)

r' (7,3)

s' (5,0)

t' (1'3)

Step-by-step explanation:

your welcome

The equation 4y = -x is a direct variation and k = - 1 / 4.

The equation  3x = 2y - 7 is neither a direct variation nor a inverse variation.

Direct variation describes a simple relationship between two variables . We say y varies directly to x when it is represented as follows:

y = kx

where

Therefore,

4y =  - x

divide both sides of the equation by 4

4y / 4 = -x / 4

\(y =- \frac{x}{4}\)

Therefore, the equation is direct variation and the value of k is - 1 / 4.

For two quantities with inverse variation, as one quantity increases, the other quantity decreases. Inverse variation is represented as follows:

y = k / x

Therefore, 3x = 2y - 7 is neither an inverse  nor a direct variation.

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Trapezoid area =(Base 1 + Base 2 )Height/2

If x= 20

then area = (28+18)/2 • √ ( 20^2 - 5^2)

. = 23 • √375

. = 445

If x< 20 ,area is

Answer is OPTION A ) 424 ft2

Step-by-step explanation:

The first six terms for each of the following sequenses are:

(a) a_n = 3n - 10

1. a_1 = -7

2. a_2 = -4

3. a_3 = -1

4. a_4 = 2

5. a_5 = 5

6. a_6 = 8

(b) a_n = (1 + (-1)^n) ^n

1. a_1 = 0

2. a_2 = 4

3. a_3 =0

4. a_4 = 16

5. a_5 = 0

6. a_6 = 32

According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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Answer:

3

Step-by-step explanation:

jade owl had 3 more extra than queen bee

Answer:

30

Step-by-step explanation:

one book symbol is 10 books, there's 3 for jade and 6 for queen. 60-30

The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

I don't know ur Language .......

Answer:

20 inches²

Step-by-step explanation:

perimeter = 8 + 3 + 5 + 4

= 20 inches²