During one particular sales day, 75% of the store's customers paid with credit cards. If there were 60 customers that day, how many used a credit card?
A. 15
B. 30
C. 45
D. 50
HINT
Method 1: Set up a proportion and cross multiply. Method 2: Convert the

The amount after 15 years with interest compounded quarterly is given by the equation A = $ 4,231.79

Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.

The formula for calculating Compound Interest is

A = P ( 1 + r/n )ⁿᵇ

where A = Final Amount

P = Principal

r = rate of interest

n = number of times interest is applied

b = number of time periods elapsed

Given data ,

Let the amount after 15 years be represented as A

Now , the equation will be

Let the principal amount be P = $ 3000

Let the number of years be b = 15 years

Let the number of times interest is applied be n = 4

Let the percentage of interest be r = 2.3 %

And , A = P ( 1 + r/n )ⁿᵇ

Substituting the values in the equation , we get

A = 3000 ( 1 + 0.023/4 )⁴ˣ¹⁵

A = 3000 ( 1 + 0.00575 )⁶⁰

On further simplification , we get

A = 3000 ( 1.00575 )⁶⁰

A = $ 4,231.79

Therefore , the compound interest is I = $ 1,231.49

Hence , the amount after 15 years is $ 4,231.79

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Divide $66.99 by 3 = $22.33. Since the CD cost, twice as much as the Tape multiply $22.33 by 2 = $44.66 And the Tape is $22.33.

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Answer:

11.22

Step-by-step explanation:

36.92+51.86+c=100

c represents the change

c=100-36.92-51.86

c=11.22

The solution is $ 11.22

The amount Glitter gets as the change after the purchase is $ 11.22

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the price of the paint be = $ 36.92

Let the price of the building blocks be = $ 51.86

So , the total price of the purchase = price of the paint + price of the building blocks

Substituting the values in the equation , we get

The total price of the purchase = 36.92 + 51.86

The total price of the purchase = $ 88.78

Now , the total amount Glitter gave = $ 100

So ,

The amount balance Glitter receives A = total amount Glitter gave - total price of the purchase

Substituting the values in the equation , we get

The amount balance Glitter receives A = 100 - 88.78

The amount balance Glitter receives A = $ 11.22

Therefore,  the value of A is $ 11.22

Hence , the amount balance Glitter receives is $ 11.22

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The area of the resulting shape from folding of circle is; 4π

The formula for calculating the area of a circle is expressed as shown below:

Area of a circle = πr²

If the circle with an 8-inch diameter is folded in half and then folded in half again the circle will become a quadrant.

The area of the resulting shape will be the area of a quadrant with the formula;

Area of a quadrant = ¹/₄πr²

Diameter = 2r

Thus;

8 = 2r

r = 4

Area of a quadrant = ¹/₄π(4)²

Area of a quadrant = 4π

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Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The mean and the standard error are given by:

\(\mu = p = 0.47\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639\)

The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{0.4 - 0.47}{0.0639}\)

Z = -1.095

Z = -1.095 has a p-value of 0.1368.

0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

Step-by-step explanation:For what values of does the equation (2 + 1) have two 2

+ 2 = 10 − 6

real and equal roots?

A quadratic equation that has 2 roots that are equal means that the discriminant  of the equation is 0. The value of k that makes the equation have 2 real and equal roots is \(k = \frac{5}{6}\)

Given that:

\((2k + 1)x^2 + 2x = 10x - 6\)

Rewrite as:

\((2k + 1)x^2 + 2x - 10x + 6 = 0\)

\((2k + 1)x^2 - 8x + 6 = 0\)

A quadratic equation is represented as:

\(ax^2 + bx + c = 0\)

By comparison:

\(a=2k+1\\ b =-8\\\ c =6\)

If an equation has 2 real and equal roots, then:

\(b^2 = 4ac\)

So, we have:

\((-8)^2 = 4 \times (2k + 1) \times 6\)

\(64 = 4 \times (2k + 1) \times 6\)

Divide by 4

\(16 = (2k + 1) \times 6\)

Divide by 6

\(\frac{16}{6} = (2k + 1)\)

\(\frac{8}{3} = 2k + 1\)

Subtract 2 from both sides

\(2k = \frac{8}{3} -1\)

Take LCM

\(2k = \frac{8-3}{3}\)

\(2k = \frac{5}{3}\)

Divide by 2

\(k = \frac{5}{6}\)

Hence, the value of k that makes the equation have 2 real and equal roots is \(k = \frac{5}{6}\)

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Answer:

The maximum possible difference between the largest and the smallest of these 5 numbers is 65( if numbers aren't repeated )

There are two known angles in such a manner:

We know that the sum of internal angles of a triangle is equal to 180 degrees. This means that we can find the missing angle by adding all the internal angles and making it equal to 180

The missing angle is 45 degrees.

Answer:

........................

Answer:

On the positive Y-axis

Step-by-step explanation:

Answer:

Positive Y-axis

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

joni should have multiplied by 1000.

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

wich shape?

have a nice day

Answer:

A) $648 B) $33,696

Step-by-step explanation:

attached

Answer:

Answer is D.

Please mark my answer as Brainliest if you found this one helpful.

The expression for the volume of the Prism is 1/3(Base area x Height)

In the given prism

Height = 10 mi

Base is in the shape of right angle triangle

Area of right angle triangle = 1/2 x Base x Height

Area of right angle triangle = 1/2 x 8 x 6

ARea of right angle triangle = 24

Area of base of the prism = 24mi².

Volume of the prism = 1/3 (Base area x Height)

Volume of the prism = 1/3 (24 x 10)

Volume of the prism = 1/3(240)

Volume of the prism = 80mi³.

The volume of prism is 80 mi³.

Answer:

Hi! I suggest reading the explanation, it will help make this equation more simple.

↓↓↓

The answer is $45.50

Step-by-step explanation:

First, divide 26.00 by four. This will give you 6.5, so now you know that each ticket individually costs $6.5 or $6.50.

next, multiple 6.50 by 7.

this will give you 45.5 or $45.50.

double check your answer by dividing 45.50 by 7.

your answer should be 6.5 on a calculator.

that's all! hope this helped.

Answer:

install socratic and by suerte i think es A

Step-by-step explanation:

Answer:

0.4 hours

Step-by-step explanation:

or 24 minutes :D

Answer:

The equation of the bike path on a coordinate map is represented by \(y = \frac{3}{8}\cdot x +1\).

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

\(y-y_{o} = m_{\parallel}\cdot (x-x_{o})\)

Where:

\(x_{o}\), \(y_{o}\) - Components of known point, dimensionless.

\(m_{\parallel}\) - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

\(y = m\cdot x + b\)

Where:

\(x\) - Independent variable, dimensionless.

\(y\) - Dependent variable, dimensionless.

\(m\) - Slope, dimensionless.

\(b\) - y-Intercept, dimensionless.

Given that parent function is \(y = \frac{3}{8}\cdot x\), the slope of the resulting line is \(m_{\parallel} = \frac{3}{8}\). Now, if \(x_{o} = 16\) and \(y_{o} = 7\), we obtain the equation of the line:

\(y-7 = \frac{3}{8}\cdot (x-16)\)

\(y = \frac{3}{8}\cdot x +1\)

The equation of the bike path on a coordinate map is represented by \(y = \frac{3}{8}\cdot x +1\).

Answer:y=3/8x +1

Step-by-step explanation:

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

18 more tickets

Step-by-step explanation:

What we know:

We know that 65 Tickets is 1 Prize.

We know we have 1,282 tickets.

So if 65 tickets is one prize

then to figure out how many for twenty then we:

65 x 20 = 1300

Now to figure out how many more she needs at the least we:

1300 - 1282 = 18

So for 1 more prize she needs 18 more tickets.

Answer:

C. 4/12 = 5/15 = 1/3

Step-by-step explanation:

I calculated it logically

Answer:

The answer is A

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

1- The function is linear because 2 is added to each y value to get to the next y value.

2- It would be 111 because 109+2=111

Step-by-step explanation:

Hope this helps:)

Answer:

1st Step = add -10 to both sides. 2nd Step = divide both sides by -2.

Step-by-step explanation:

10-2x = 18

-10       -10

-2x = 8

   -2

x = -4

Answer:

B

Step-by-step explanation:

EDGEN

Answer:

B. About 52.1 percent of the variation in number of bite-sized pretzels grabbed with the dominant hand is accounted for by the linear relationship formed with handspan.

Step-by-step explanation:

Answer:

S = 21.6/G

S = 3.6

Step-by-step explanation:

Inverse variation:

y = k/x

For this problem:

S = k/G

We use the given values of S and G to find k.

9 = k/2.4

k = 9 * 2.4

k = 21.6

The equation is

S = 21.6/G

For G = 6,

S = 21.6/6

S = 3.6