in a sale normal prices are reduced by 10% natalie bought a pair of shoes in the sale for £54
what is the original price of the shoes?

Your best friend is charging you an annual interest rate of 4% for lending you ₹300 for nine months with a quarterly interest rate of 1%.

The amount a lender charges a borrower for the use of assets, such as money, consumer goods, or physical assets, is known as an interest rate. It is a fraction of the loan's principal, which is the amount borrowed to cover the cost of the purchase or the deposit made with a bank or other financial institution.

If your best friend is charging you an extra ₹3 for every three months that pass before you return the money, then after nine months, you will owe her an extra ₹9 in addition to the original ₹300.

So the total amount you must pay her if you return the ₹300 after nine months would be ₹309.

To calculate the annual rate of interest she is charging you, we can use the formula:

Annual Interest Rate = (Total Interest / Principal) x (12 / Number of Months)

Where the Principal is the original amount borrowed (₹300), the Total Interest is the extra amount you owe her (₹9), and the Number of Months is the time period for which you borrowed the money (9 months).

Plugging in the values, we get:

Annual Interest Rate = (9 / 300) x (12 / 9) = 0.04 or 4%

So, your best friend is charging you an annual interest rate of 4% for lending you ₹300 for nine months with a quarterly interest rate of 1%.

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The complete question is:

You ask your best friend to lend you ₹300 to buy your favourite toy. She says she can lend you the money only if you give her an extra ₹3 for every three months that pass before you return it. What is the total amount you must pay her if you return it after nine months? What is the annual rate of interest she is charging you?

Answer:

i dont know

Step-by-step explanation:

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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It is already in the simplest form.

Answer:

17.1

Step-by-step explanation:

11/cos(50)=17.1

Therefore, -1 is an eigenvalue of A, and the corresponding eigenvector is [-1; 1].

To show that a is an eigenvalue of A and find an eigenvector x corresponding to this eigenvalue, we need to solve the equation Ax = ax, where A is the matrix given, x is the eigenvector we want to find, and a is the eigenvalue we want to show.

Rearranging the equation, we get (A - aI)x = 0, where I is the identity matrix. We can find the determinant of (A - aI) and set it equal to zero to solve for a. Doing this, we get a quadratic equation, which gives us two values of a. We then choose one of these values and solve for x by finding the null space of (A - aI).

This will give us the eigenvector corresponding to the chosen eigenvalue. In this case, we have A = [-2 2; 3 1], and we want to find the eigenvalues and eigenvectors of A. Solving for the eigenvalues, we get a² + a - 8 = 0, which gives us two eigenvalues, a = -1 and a = 8. Choosing a = -1, we find the null space of (A + I), which is the eigenvector corresponding to the eigenvalue -1. Solving for x, we get x = [-1; 1].

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Answer:

11/5 x^2 + 5/2 xy + 3/2 y.

Step-by-step explanation:

2x . (x+y) + 1/5 x.x + 1/2 y . (x + 3)

= 2x^2 + 2xy + 1/5 x^2 + 1/2xy + 3/2 y

= 11/5 x^2 + 5/2 xy + 3/2 y.

Answer:

To solve this problem, simply divide the total amount earned by the time in months it took to earn this total.

Therefore, divide the income of $67,452 by the 12 months it took to earn this much.

Your answer, B) $5,621.

Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

is finding the square root

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number.

When a number is squared, it is multiplied by itself. For example, squaring the number 4 gives 4^2 = 16.

The inverse operation undoes the effect of squaring and returns you to the original number. In this case, finding the square root of a number is the inverse operation of squaring.

The square root of a number "x" is a value that, when squared, gives the original number. It is denoted by the symbol √x.

For example, if you have the number 25 and you want to find its square root, you calculate:

√25 = 5

5 is the square root of 25 because when you square 5 (5^2), you get 25.

The inverse operation of squaring a number is finding the square root of that number. The square root of a number "x" is the value that, when squared, gives the original number. The concept of square root and squaring are inverse operations that are used in various mathematical calculations and problem-solving.

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Answer:

c is the answer

Step-by-step explanation:

Answer:

c is the correct answer :)

Answer: 15

Step-by-step explanation:

Answer:

a=-3,b=-1,c=5

Step-by-step explanation:

move all the variables to the right, and then all the x with number and number move to the left. then solve it. by using the formula to compare which is ax2+bx+c compare to the things you solve come out. then you will get a=-3,b=-1,c=5

Answer:

multiplication or division first

Step-by-step explanation:

50-20+5×2.5÷4

50-20+12.5÷4

50-20+3.1

30+3.1

=33.1

Answer:

Multiplication.

Step-by-step explanation:

PEMDAS is Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. In PEMDAS Multiplication goes first.

Answer: like 36 i think

Step-by-step explanation:

Answer:

14168

Step-by-step explanation: just multiple

The x-coordinate of point I of line segment IJ is 1.

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

We are given that;

Endpoint of point j= (8,6)

Midpoint =(1,0)

Now,

Let the coordinates of endpoint I be (x,y). Then, we can use the midpoint formula to set up two equations:

H = ((x+8)/2, (y+6)/2) = (1,0) (the midpoint of JI is H at (1,0))

J = (8,6)

From the first equation, we get:

(x+8)/2 = 1 --> x+8 = 2 --> x = -6

From the second equation, we get:

(x-8, y-6) = (1-8, 0-6) = (-7, -6)

Equating the x-coordinates, we get:

x-8 = -7 --> x = 1

Therefore, by the given midpoint the answer will be 1.

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Using the Trapezoidal Rule with n = 6 subintervals, the estimated length of the curve is approximately 14.47 units.

To estimate the length of the curve using the Trapezoidal Rule, we need to calculate the sum of the lengths of the straight-line segments connecting the points on the curve. Here's how you can do it:

1. Divide the interval [-3, 3] into n = 6 equal subintervals.

  Each subinterval will have a width of Δt = (3 - (-3)) / 6 = 1.2.

2. Evaluate the x and y coordinates for each t in the subinterval.

  Using the given parametric equations:

  For each subinterval i, let t_i be the left endpoint of the subinterval.

  Calculate:

\(- x_i = t_i - e \\ - y_i = t_i + et_i\)

3. Calculate the lengths of the straight-line segments between consecutive points.

  For each subinterval i, calculate the length using the distance formula:

  \(\[L_i = \sqrt{{(x_{i+1} - x_i)^2 + (y_{i+1} - y_i)^2}}\]\)

4. Sum up the lengths of all the subintervals.

\(- L_{total }= L_1 + L_2 + L_3 + L_4 + L_5 + L_6\)

Let's perform the calculations:

Subinterval 1:

\(t_1 = -3\\x_1 = -3 - e\\y_1 = -3 + e(-3)\)

Subinterval 2:

\(t_2 = -3 + 1.2 = -1.8\\x_2 = -1.8 - e\\y_2 = -1.8 + e(-1.8)\)

Subinterval 3:

\(t_3 = -1.8 + 1.2 = -0.6\\x_3 = -0.6 - e\\y_3 = -0.6 + e(-0.6)\)

Subinterval 4:

\(t_4 = -0.6 + 1.2 = 0.6\\x_4 = 0.6 - e\\y_4 = 0.6 + e(0.6)\)

Subinterval 5:

\(t_5 = 0.6 + 1.2 = 1.8\\x_5 = 1.8 - e\\y_5 = 1.8 + e(1.8)\)

Subinterval 6:

\(t_6 = 1.8 + 1.2 = 3\\x_6 = 3 - e\\y_6 = 3 + e(3)\)

Now we can calculate the lengths of the straight-line segments:

\(\[L_1 = \sqrt{{(x_2 - x_1)^2 + (y_2 - y_1)^2}}\]\[L_2 = \sqrt{{(x_3 - x_2)^2 + (y_3 - y_2)^2}}\]\[L_3 = \sqrt{{(x_4 - x_3)^2 + (y_4 - y_3)^2}}\]\[L_4 = \sqrt{{(x_5 - x_4)^2 + (y_5 - y_4)^2}}\]\[L_5 = \sqrt{{(x_6 - x_5)^2 + (y_6 - y_5)^2}}\]\)

Finally, we can sum up the lengths of the subintervals:

\(L_total = L_1 + L_2 + L_3 + L_4 + L_5 + L_6\)≈ 14.47

Remember to round the final answer to two decimal places.

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Answer:

nope sorryyyyyy

Step-by-step explanation:

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

(a) The distance that the tip of the hour hand covers in twelve hours is 28.29 cm.

(b)The distance that the tip of the minute hand covers in one hour is 34.57 cm.

(c) The tip of the minute hand covers a longer distance than the tip of the hour hand by 6.28 cm.

(a) To find the distance that the tip of the hour hand covers in twelve hours, we need to calculate the circumference of the circle that the tip of the hour hand traces in twelve hours. The circumference is given by:

C = 2πr

where r is the length of the hour hand

C = 2 x 22/7 x 4.5

C = 28.29 cm

(b) Also, the distance that the tip of the minute hand covers in one hour is:

C = 2 x 22/7 x 5.5

C = 34.57 cm

(c) We can see that the distance covered by the minute hand in one hour (34.57 cm) is greater than the distance covered by the hour hand in twelve hours (28.29 cm).

difference = 34.57 cm - 28.29 cm = 6.28 cm

Thus, the tip of the minute hand covers a longer distance than the tip of the hour hand by 6.28 cm.

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Answer:

4 and 1/2 hours or 270 minutes

Step-by-step explanation:

Each student spend 30 minutes to set up the puppet show.

+30

They spent twice as long to put everything away.

+30 +30

Current total: 90 minutes

The show was open for three hours

+180 (60 minutes in an hour x 3 hours)

Current total: 270

Total: 270 minutes

OR

Divide 270 by 60 minutes in an hour, which would be 4.5 hours.

Answer: 1 hour and 30

Step-by-step explanation:

First, you multiply 30 minutes x2 and get 60. 60 minutes is an hour so now you have an hour. Then you add 30 minutes to that and get 1 hour and 30 minutes. Then, you subtract 3 hours minus 1 hour, and 30 minutes and get 1 hour and 30 minutes.

Answer: 260

Step-by-step explanation:

Use proportions:

65/25 = x/100

cross multiply the proportions:

25x = 6500

solve your equation:

x = 260

The number is 260.

Let's start by finding the number we're working with.

We know that 25% of the number is 65, so we can set up an equation:

0.25x = 65

To solve for "x", we can divide both sides of the equation by 0.25:

x = 65 / 0.25

x = 260

So the number we're working with is 260.

Next, we need to find 40% of the same number:

0.40(260) = 104

Now we can use this information to find 15% of the same number:

We can set up a proportion:

40% is to 104 as 15% is to x

0.40/104 = 0.15/x

To solve for "x", we can cross-multiply:

0.40x = 104(0.15)

0.40x = 15.6

x = 39

So 15% of the same number is 39.

Step 1: Simplify both sides of the equation.

x−7=15+3x

x+−7=15+3x

x−7=3x+15

Step 2: Subtract 3x from both sides.

x−7−3x=3x+15−3x

−2x−7=15

Step 3: Add 7 to both sides.

−2x−7+7=15+7

−2x=22

Step 4: Divide both sides by -2.

−2x/−2=22/−2

x=−11

Answer: \(x=.14.5\)

Step-by-step explanation:

First, we need to get rid of the x on one side so the equation becomes solvable. Since one x has a coefficent and one doesn't, let's use the one without.

Remember that x and 1x are the same thing, since anything multiplied by one is itself.

\(3x - 1x - 2x\)

So now we have-

\(-7 = 15 + 2x\)

Now it looks a little easier, right? First we get rid of the 15-

\(15-15 =0\\-7-15 =-22\)

So now we have-

\(-22 = 2x\)

Let's get rid of the coefficent now by dividing by two.

\(\frac{2x}{2} =x\\\frac{-22}{2} =-14.5\)

So \(x=.14.5\)

Answer:

−x^3+5x^2-2x−12

Step-by-step explanation:

Answer:

b. 8.33

Step-by-step explanation:

"mean" is the math word for what non-math people call average. This is where you add up all the numbers and divide by however many there are.

3+5+8+11+11+12 is 50

There are 6 numbers in the data set. So 50/6 is 8.3333...

b. 8.33 is the correct answer.

Mean means add and divide.

Answer:

Volume = 1436.8 cm³

Step-by-step explanation:

Formula for the volume of a sphere = \(\frac{4}{3}\pi r^{3}\)

Here, r = radius of the sphere

For a sphere which has the radius = 7 cm

Volume of the sphere = \(\frac{4}{3}\pi (7)^3\)

                                     = 1436.76

                                     ≈ 1436.8 cm³

Therefore, volume of the sphere is 1436.8 cm³.

Answer:

y = 3

Step-by-step explanation:

We start by finding x

9x+25 = 13x-19 because of corresponding lines

This means that x = 11 {Subtract 25 from the left side and subtract 13 from the right side, divide remaining}

Now we know that 13x-19 = 124 because 13(11) -19

Because 124 and 17y + 5 are on the same lines that means they equal 180 so we can write 124 + 17y + 5 = 180 and get y = 3