42 customers increased by 50%. How do I find the new amount?

1 1/2 hours x 5 days  = 7 1/2 hours

4+3 +7 1/2 = 14 1/2 hours per week

To solve problems for the area of a reduced or enlarged figure, determine the scale factor, find the corresponding dimensions, and calculate the area using the appropriate formula.

To solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original figure are given, follow these steps:

1. Determine the scale factor by comparing the dimensions of the original figure to the dimensions of the reduced or enlarged figure.
2. Use the scale factor to find the corresponding dimensions of the reduced or enlarged figure.
3. Calculate the area of the reduced or enlarged figure using the appropriate formula for the shape (e.g., length * width for a rectangle).

For example, if the original figure is a rectangle with dimensions of 4 inches by 6 inches, and the scale factor is 2, the corresponding dimensions of the reduced or enlarged figure would be 8 inches by 12 inches. The area of the reduced or enlarged figure would then be calculated as 8 inches * 12 inches = 96 square inches.

Sample Response: To solve problems for the area of a reduced or enlarged figure, first square the scale factor. Then use the given dimensions to find the area of the original figure. Multiply the square of the scale factor by the area of the original to get the reduced or enlarged figure.

Final answer:

The discriminant of a quadratic equation determines the number and type of solutions.

Explanation:

The discriminant of a quadratic equation can help determine the number and type of solutions.

If the discriminant is greater than zero, there are two real solutions.

If the discriminant is zero, there is one real solution.

If the discriminant is negative, there are no real solutions.

Answer:

-2/3

Step-by-step explanation:

The slope is the coefficient of x: -2/3.

___

This tells you how much y changes when x changes by 1 unit. The slope is the change in y divided by the change in x.

Answer:

b

Step-by-step explanation:

Answer:

B.   1/3

I had this question on Plato this is the answer.

The value of the account is $7542.59.

It is computed by adding the annual interest rate raised to the number of compound periods and subtracting one after multiplying the initial principal amount by one. The resulting value is subsequently deducted from the loan's entire original amount.

Given:

P=4000

r = 5%

t = 13 years

Now, using the formula

[tex]A = P( 1 + r/n)^{nt}[/tex]

A = 4000[tex](1 + 0.05/1)^{(13)(1)[/tex]

A= 4000[tex](1.05)^{13[/tex]

A = 4000 x 1.8856

A = $7542.59

Hence, The value of the account is $7542.59.

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The correct answer is 81

Final answer:

To find the number of adult tickets sold when a total of 324 tickets were sold for a school play and student tickets were three times the number of adult tickets, we set up the equation x + 3x = 324, solved for x, and found out that 81 adult tickets were sold.

Explanation:

The question is asking us to find out how many adult tickets were sold when a total of 324 tickets were sold for a school play, with the number of student tickets being three times the number of adult tickets sold. To solve this, we let x represent the number of adult tickets. Therefore, 3x will represent the number of student tickets since there are three times as many student tickets as adult tickets.

The equation representing the total number of tickets sold would be: x (adult tickets) + 3x (student tickets) = 324. Simplifying, we have 4x = 324. Dividing both sides by 4 gives us x = 81.

Therefore, the number of adult tickets sold is 81.

Answer: the answer is $780.00

Step-by-step explanation:

$600.00 x .20 = $120.00

$600.00 x .10 = $60.00

Total:

$600.00 + $120.00 + $60.00 = $780.00

Answer:

780

Step-by-step explanation:

Final answer:

Given that the older child is already a girl, the probability that both children of Mr. Jones are girls is 50%, assuming an equal chance of having a boy or a girl.

Explanation:

The question is asking about the probability that both children of Mr. Jones are girls, knowing that the older child is already a girl. Since the older child is a girl, we only need to consider the probability that the second child is a girl. In a typical scenario where the probability of having a boy or a girl is equal (assuming a 50% chance for each), the probability that the second child is a girl, given that the family already has one girl, is simply 0.5 or 50%. Therefore, in this case, the probability that both children are girls is 50%.

The area of the sector of the circle is 28.125π inches²

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the centre for every angle

The total internal angle is 360° about the centre

The area of the sector of the circle = ( θ / 360° )πr²

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

Given data ,

Let the area of the circle be = A

The value of A = 225 inches²

Now , the area of the sector whose central angle is 45° is calculated by

The area of the sector of the circle = ( θ / 360° )πr²

Substituting the value for θ = 45° , we get

Area of the sector of the circle = ( 45/360 ) x 225

                                                    = ( 1/8 ) x 225

                                                    = 28.125 inches²

Therefore , the area of the sector is 28.125 inches²

Hence , The area of the sector of the circle is 28.125π inches²

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Final answer:

43 is 5% of 860.

Explanation:

To find out what number 43 is 5% of, we can set up a proportion where 5% (or 0.05 when written as a decimal) is equal to 43 over an unknown total number X.

The formula to calculate this is part = percentage  imes total, which in this case turns into 43 = 0.05 * X.

To solve for X, divide 43 by 0.05, giving us X = 43 / 0.05 which equals 860.

Therefore, 43 is 5% of 860.

The probability that an auditor will spend more than 12 minutes on an invoice is approximately 88.49%.

Calculate the probability an auditor will spend more than 12 minutes on an invoice using the Z-score formula for a normal distribution.

The probability that an auditor will spend more than 12 minutes on an invoice can be calculated using the Z-score formula for a normal distribution.

Answer:

14 rings.

Step-by-step explanation:

in order to calculate how many rings does he have to sell to break even we first have to calculate the profit that he has on the sell of every ring from which he can take money to pay per supplies, so that would be the selling price minues expenses:

8-1.5=6.5

Now we have to divide the 91 in supplies by the profit:

91/6.5=14

So he has to sell 14 rings in order to break even between expenses and supplies.

Henry needs to sell approximately 14 rings to cover his expenses, which include $1.50 per ring and $91 for supplies, with each ring priced at $8.

To find out how many rings Henry needs to sell for his revenue to equal his expenses, you can set up an equation.

Let's denote the number of rings he needs to sell as "x."

Revenue from selling x rings = Expenses

Revenue is calculated as the price per ring multiplied by the number of rings sold, which is $8x.

Expenses consist of the cost per ring and the supplies cost, which is $1.50x + $91.

So, the equation becomes:

$8x = $1.50x + $91

Now, let's solve for x:

Subtract $1.50x from both sides of the equation:

$8x - $1.50x = $1.50x + $91 - $1.50x

$6.50x = $91

Now, divide both sides by $6.50 to find the value of x:

x = $91 / $6.50

  ≈ 14

Therefore, Henry needs to sell approximately 14 rings for his revenue to equal his expenses.

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