uke has blue and red balls. Every day, he wins 2 blue balls and loses 3 red ones. After 5 days, he has the same amount of blue as red. After 9 days, he has twice as many blues as reds. How many red balls did he have at the beginning? Question not Showing?

The sum or the compound interest were Rs. 10,089 & Rs. 2589, respectively, according to the supplied statement.

Per year, as used in contracts, is used to describe ongoing duties, or those that take place continuously during the course of an agreement. For instance, if a customer pays 3% interest on a loan annually, it indicates that you will have to pay 3% more of the loan's principle each year until the deal is through.

Given : Initial principle amount (P) = Rs. 7500

      Rate of interest (R) = 16% per annum

To find : Compound interest (C.I.) = ?

Solution :

It is given that Initial principle amount (P) = Rs. 7500

Rate of interest (R) = 16% per annum

      Time (t) = 1 year = 2 ( ∵ Half Yearly)

We know the formula for Compound Interest,

       Compound Interest (A) = [tex]P\left(1+\frac{R}{100}\right)^{n t}[/tex]

[tex]\begin{aligned}& =7500\left(1+\frac{16}{100}\right)^2 \\& =7500\left(\frac{100+16}{100}\right)^2 \\& =7500\left(\frac{116}{100}\right)^2\end{aligned}[/tex]

= 7500 * 1.345

= Rs. 10,089

Now, Compound interest = A - P

= 10,089 - 7500

= Rs. 2589

∴ Final amount = Rs. 10,089

Compound Interest = Rs. 2589

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The complete question is-

Calculate the amount and the compound interest on Rs. 7500 for 1 year at 16% p.a compounded half yearly​

You dilate a line segment around a point by following a simple procedure mentioned below that begins with identifying the center of a line segment.

Dilating a line segment around a point is a simple process. First, you need to identify the center of the line segment.

Then, use a ruler or other measuring device to measure the distance from the center of the line segment to each end point.

To dilate the line segment, multiply the measured distance by the desired scale factor. Finally, draw a new line segment connecting the two new end points.

This will give you the dilated line segment around the point you identified at the beginning.

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The distance from City Hall to 2nd Street along Cedar Road is 5.4 miles

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

From City Hall to 1st St. form a triangle. Also, City Hall to 2nd St. form a triangle.

We can use the ratio of the distances along Aspen road (scale factor) of the triangles to find the required distance. That is:

scale factor =  (2.8 + 3.5)/2.8 = 6.3/2.8 = 2.25

Let the distance from City Hall to 1st St. be x. Thus:

scale factor = (x + 3.0)/x

2.25 = (x + 3.0)/x

2.25x = x + 3.0

2.25x -x = 3.0

1.25x = 3.0

x = 3.0/1.25

x = 2.4 miles

distance from City Hall to 2nd Street along Cedar Road = x + 3.0

distance from City Hall to 2nd Street along Cedar Road = 2.4 + 3.0 = 5.4 miles

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The triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates. Then angle ∠3 is equal to angle ∠4 which is ∠3 = ∠4.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

It is given that ∠1 = ∠2 and WX = YZ

XP = YP (Side opposite to equal angles)

Then the triangles ΔWXP and ΔZYP are congruent with each other by SAS postulates.

The corresponding sides of the congruent triangles are equal. Then we have

WP = ZP

Then the corresponding exterior angles of the congruent triangles are also equal. Then we have

∠3 = ∠4

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well, since one is a horizontal line and the other is a vertical line, Check the picture below.

The value of y when x = 4, z = 6 is 24.

The equation for the relationship between y, x and z is y = xz.

Given that x = 2 and z = 3, we have y = 2 * 3 = 6.

Therefore, when x = 4 and z = 6, y = 4 * 6 = 24.

The relationship between y, x and z can be expressed as y = xz, which means that the value of y is proportional to the values of x and z. When the values of x and z are given, we can calculate the value of y based on this equation. For example, when x = 2 and z = 3, the value of y is 2 * 3 = 6. Similarly, when x = 4 and z = 6, the value of y is 4 * 6 = 24. In general, when the values of x and z are given, the value of y can be determined by multiplying the values of x and z. Therefore, when x = 4 and z = 6, the value of y is 24.

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The Ksp of the lead II iodide is 6.4 * 10^-9.

We know that the solubility product has to do with the amount of the solute that we can be able to find that has dissolve in the saturated solution form the data that we have from the question that is given.

Now we know that;

Number of moles of the solute = mass/ molar mass

= 0.54 g/461 g/mol

= 1.17 * 10^-3 moles

Molarity = 1.17 * 10^-3 moles/ 1 L

= 1.17 * 10^-3 M

Then Ksp = [x] [2x]^2

Ksp = 4x^3

Ksp = 4( 1.17 * 10^-3 )^3

Ksp = 6.4 * 10^-9

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The value of d is -9.We can find by both sides solving for d.

Subtraction means you are taking something away from a group or number of things. When you subtract what is left in the group becomes less. An example of a subtraction problem is the following: 5 - 3 = 2.

First we add and subtract same terms to get the variables on one side and the constants on the other.Then multiply or divide to isolate the variable.In the last solve for given variables.You must perform the same exact operation to each side of the equation.

Now we have

d+8=-d-10

d+d = -10-8

2d= -18

d= -9

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Answer:

Step-by-step explanation:

14 - (2% × 14) = 

14 - 2% × 14 = 

(1 - 2%) × 14 = 

(100% - 2%) × 14 = 

98% × 14 = 

98 ÷ 100 × 14 = 

98 × 14 ÷ 100 = 

1,372 ÷ 100 = 

Answer : 13.72

Answer:

Step-by-step explanation:

Find out the difference between the numbers,  Decrease = Old value - New value. Step 2: Divide this 'decrease' by the old value and multiply it by 100. This makes the percent decrease in the formula , Percent Decrease = (Old Value - New Value) / Old Value] × 100]

Answer:

b- exponential

Step-by-step explanation:

right

On solving the provided question, we can say that - by doing the inequality equation,  [tex]6x - 4 > 8 - 2x = > x > 3/2[/tex]

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

[tex]6x - 4 > 8 - 2x\\6x > -2x + 12\\8x > 12\\x > 3/2[/tex]

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Answer:2

Step-by-step explanation:

Answer: the answer is 4 i think

Step-by-step explanation:

Answer:

[tex] {20}^{2} - {16}^{2} = 144 \\ \sqrt{144} = 12[/tex]

If you have problems in mathematics you can take my number and send me your questions if you want

We draw y=3 on a graph is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,3)

An unending, one-dimensional figure with no width is a straight line. It consists of an infinite number of points connected on either side of a point. There is no curvature in a straight line. It might be angled, vertical, or horizontal. Any angle we draw between any two locations along a straight line will always be a 180-degree angle. By comprehending the equations of straight lines in various formats and learning how to solve questions based on straight lines, we will explore the universe of straight lines.

So that, we draw y=3 on a graph is a straight line perpendicular to y-axis and parallel to x-axis passing through point (0,3) as shown in attached diagram.

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The amount of water that a basin holds depends on the size and shape of the basin.

The size and shape of a basin affects how much water it holds because it affects the surface area and volume of the basin. A basin with a larger surface area can hold more water than a basin with a smaller surface area. Similarly, a basin with a larger volume can hold more water than a basin with a smaller volume. For example, a shallow basin with a large surface area may be able to hold more water than a deep basin with a small surface area. Therefore, the size and shape of the basin will determine how much water it can hold.

The volume of a basin can be calculated by multiplying its length, width, and depth. For example, if a basin is 2 feet long by 1 foot wide by 1 foot deep, it would hold 2 cubic feet of water (2 x 1 x 1 = 2). Therefore, if the basin is completely filled with water, the answer would depend on its size and shape; it would need to be measured in order to calculate the exact amount of water it holds.

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Answer:

The estimate of ^50 to the nearest tenth is 7.1. The two perfect squares closest to 50, one greater than 50 and less than 50, are 49 and 64. The square roots of 49 and 64 are 7 and 8, respectively.

Answer:

X - X * 0.15 = 0.85X

X * 0.85 = X - X * 0.15

Both of these expressions can be used to find the price of any lawnmower pre-tax this weekend. The first expression calculates the price by subtracting 15% of the original price from the original price, and the second expression calculates the price by multiplying the original price by 85%.

Option B x = -2 to x = 1 in this interval the function is increasing and linear

What does a function show as increasing and decreasing?

If the value of f(x) grows as the value of x increases, the function is said to be increasing; conversely, if the value of f(x) decreases as the value of x increases, the function is said to be declining.

To determine if a function is increasing or decreasing on an interval, we need to know the sign of its first derivative on that interval. To determine if a function is linear, we need to know if the function is of degree one.

A function that is linear is of degree one and the graph of a linear function is a straight line, where the slope of the line is the coefficient of x.

To determine if a function is linear and increasing or decreasing on an interval, we need to determine the sign of the first derivative of the function on that interval, if the first derivative is positive, the function is increasing, if it is negative, the function is decreasing.

Additionally, it is also important to consider the domain of the function, to ensure the function is defined on that interval.

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1. To get system B form A: C. Swap only the right-hand sides of both equations.

2. They are not equivalent systems.

The point of intersection of two equations of a system gives us the solution, which is the coordinate of that point.

If two systems are equivalent, then they will have the same solution or point of intersection.

1. To get system B from A, the values at the right hand side of both equations were swapped.

2. The graph of system A, -10x - 4y = 0 and -2y + 7y = 8 is given in figure 1. The solution is (-0.64, 1.6).

The graph of system B, -10x - 4y = 8 and -2y + 7y = 0 is given in figure 2. The solution is (-0.8, 0).

Therefore, the systems are not equivalent.

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A highlight table is used to visualize the relative proportion of values in a table.

It is a way to present data in a graphical format that makes it easier to understand and compare the relative size of different categories.

It can be used to create a heatmap-like visualization that uses different colors or shades to indicate the relative frequency of values in a table. Highlight tables are useful for quickly identifying patterns and trends in large datasets, and for comparing the relative size of different categories of data.

They can also be used to compare data over time, or to compare data from different sources. Highlight tables can be created using various data visualization tools, such as spreadsheet software, data visualization libraries, or specialized data visualization software.

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Answer:

a= [tex]\frac{57}{13}[/tex]

Step-by-step explanation:

Find the value of y by subbing in x

y = 5x-3

y = 5(13) - 3

y = 62

Sub x and y into the 2nd equation, Solve for a

62 = a (13) + 5

62 = 13a + 5

57 = 13a

a= [tex]\frac{57}{13}[/tex]

The unit price of the souvenirs for female teachers is RM5.50.

First, let's define some variables to represent the information given in the problem:

Let M be the number of male teachers

Let F be the number of female teachers

Let P_M be the unit price of the souvenirs for male teachers

Let P_F be the unit price of the souvenirs for female teachers

We are given that M = 16, F = 28, and P_M = RM5. The problem asks us to find P_F.

We can set up the following equation to represent the total cost of the souvenirs:

(M * P_M) + (F * P_F) = RM234

Substituting in the values we know, we get:

(16 * RM5) + (28 * P_F) = RM234

Solving for P_F, we find:

P_F = (RM234 - (16 * RM5)) / 28

P_F = (RM234 - RM80) / 28

P_F = RM154 / 28

P_F = RM5.50

Therefore, the unit price of the souvenirs for female teachers is RM5.50.

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u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right][/tex]

Given data,

Let u [-16 18 10] and A [2 -3 1 -4 5 1]

u in the plane in set of real numbers rℝcubed3 spanned by the columns of A,

So,

We can write,

u = [tex]\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right][/tex] and A = [tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]

Then,

AX = b

w = [tex]\left[\begin{array}{ccc}2&-3&-16\\1&-4&18\\5&1&10\end{array}\right][/tex]

A = [tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]

null A = [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]    [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]= [tex]\left[\begin{array}{ccc}0&\\0&\\0&\end{array}\right][/tex]

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0

[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 0

5[tex]x_{1}[/tex] + 1[tex]x_{2}[/tex] = 0

We can solve the equations,

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0

[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 0

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

[tex]x_{1}[/tex] - 7[tex]x_{2}[/tex] = 0

[tex]x_{1}[/tex] = 7[tex]x_{2}[/tex]

We can substitute [tex]x_{1}[/tex] values,

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = 0

2*7[tex]x_{2}[/tex] - 3[tex]x_{2}[/tex] = 0

[tex]14x_{2}[/tex] - 3[tex]x_{2}[/tex] = 0

11[tex]x_{2}[/tex] = 0

[tex]x_{2}[/tex] = 0

[tex]\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right][/tex]    [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex]= = [tex]\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right][/tex]

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16

[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 18

5[tex]x_{1}[/tex] + 1[tex]x_{2}[/tex] = 10

We can solve the matrix equations,

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16

[tex]x_{1}[/tex] - 4[tex]x_{2}[/tex] = 18

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

[tex]x_{1}[/tex] - 7[tex]x_{2}[/tex] = 2

[tex]x_{1}[/tex] = 2 + 7[tex]x_{2}[/tex]

[tex]x_{1}[/tex] = 2 + 7(0)

[tex]x_{1}[/tex] = 2

2[tex]x_{1}[/tex] - 3[tex]x_{2}[/tex] = -16

2*2 - 3[tex]x_{2}[/tex] = -16

4 - 3[tex]x_{2}[/tex] = -16

- 3[tex]x_{2}[/tex] = -16 - 4

- 3[tex]x_{2}[/tex] = -20

3[tex]x_{2}[/tex] = 20

[tex]x_{2}[/tex] = 20/3

[tex]x_{2}[/tex] = 6.66

Therefore,

u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   [tex]\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right][/tex]

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Answer:

£42.30

Step-by-step explanation:

6% of £45 = 2.7

£45-£2.70=£42.30

When you say don't use the dollar sign do you mean I should convert from dollars to pounds?

The pounds of green beans that CJ bought at the market will be 3.75 pounds.

In Mathematics, it is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator. Some of the mathematical operations that are illustrated in this case include addition, subtraction, etc.

In this case, CJ went to the market and bought 1.5 pounds of potatoes for dinner. He bought 2.5 times as many pounds of green beans.

Therefore, the pounds of green beans that he bought at the market will be:

= 1.5 × 2.5

= 3.75 pounds.

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Answer:

C, D, E

Step-by-step explanation:

Additive inverses is pretty much the same number, but one is positive and one is negative.

In this case C, D, and E would be it.

C; both are 7, but ones negative and ones positive

D; both are 20, but ones negative and ones positive

and same with E... both are 335, but ones negative and ones positive

The number 9 x 10^7 is 30,000 times greater than the number 3 x 10³.

To obtain how many times a number a is greater than a number b, we have to obtain the ratio, which is the division of the number a by the number b.

The numbers in this problem are given as follows:

The division of these two numbers is given as follows:

(9 x 10^7)/(3 x 10³).

The division of the two coefficients is given as follows:

9/3 = 3.

For the powers of 10, we have the division of two terms with the same base and different exponents, hence we keep the base and subtracted the exponents, as follows:

10^7/10³ = 10^(7 - 3) = 10^4 = 10,000.

Hence the complete quotient is given as follows:

3 x 10,000 = 30,000.

Which is how many times the number 9 x 10^7 is greater than the number 3 x 10³.

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Answer:

The empirical rule states that for a bell-shaped distribution, approximately 68% of the data will fall within one standard deviation of the mean, approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.

In this case, the mean is $1700 and the standard deviation is $200.

So, one standard deviation of the mean is 1700+200= $1900 and 1700-200 = $1500.

Therefore, according to the empirical rule, approximately 68% of the farms will have land and building values per acre between $1500 and $1900.

To estimate the number of farms that fall within this range, we can multiply the total number of farms (71) by 0.68.

(71)*(0.68) = 48.68 or about 49 farms

So, according to the empirical rule, approximately 49 farms will have land and building values per acre between $1300 and $2100.

The car travels 3.75 miles in 5 minutes

GIVEN-

2.626 Miles in 3.5 mins

TO FIND-

Distance in 5mins

STEPS-

In 3.5 minutes it travels 2.625 miles

To find out how much it travels in only one minute, we divide 2.625 miles by 3.5 minutes

2.625/3.5 = 0.75 miles/minute

∵In m mins it traveled 0.75×m miles

since,distance d = 0.75 x m

∴In 5 mins it traveled 0.75x5 miles

=3.75miles

The car traveled 3.75 miles in 5 minutes

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