Ambers dinner bill is $36. 00 if amber leaves a 17% tip, how much tip will amber leave?

The transformed parent cube root function's equation is,

y = ∛(x-4) - 1.

The equation of the function is satisfied by all (and only those) points that lie on the graph of the function.

Hence, if a point fits on a function's graph, it must also fit the function.

The parent cube root function is transformed in the shown graph

The Parent cube root function is

y = ∛(x -h) - k

where the value of h  and k is equal to 0

h=0, k=0 in parent function

At (0,0) in the parent function, the graph changes orientation.

We can observe from the above graph that it changes direction at (4,-1) meaning it is moved 4 units to the right and 1 unit down.

So, the value of h=4  and value of k=1

The equation of the transformed function is,

y = ∛(x-4) - 1

Find out more about points on a function's graph here:

https://brainly.com/question/28886536

#SPJ1

The actual distance between M and μ is measured by the numerator of the z-score test statistic.

The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The distribution of the z-score test is normally distributed under the null hypothesis, making it a statistical test. The mean is tested for a known standard deviation using this method. The z score (z), which is determined by the following equation, is the difference between the sample mean and the population mean in units of standard error. The equation is z = M - μ / σ/√n, where n is the number of samples in the population, is the mean, o is the standard deviation, and σ/√n is the standard error. The sample mean's (μ) distance from the population mean serves as the z score's numerator (M).

To learn more about standard deviation click here

brainly.com/question/23907081

#SPJ4

If the boat needed to travel 15 miles there and back, while the stream only moves 5 miles per hour, it would take 3 hours to travel there and back. This means that in still water, the boat would take 6 hours to move 15 miles upstream and back.

Based on the arithmetic sequence with the first term −5 and the common difference 4 is 660, we could find m = 20.

To find the sum of the first m terms of an arithmetic sequence, we can use the formula:

sum = (m/2)(2a + (m-1)d),

where a is the first term,

d is the common difference,

and m is the number of terms.

In this case, we are given a = −5, d = 4, and sum = 660. We can plug these values into the formula and solve for m:
660 = (m/2)(2(-5) + (m-1)(4))
660 = (m/2)(-10 + 4m - 4)
660 = (m/2)(4m - 14)
1320 = m(4m - 14)
0 = 4m^2 - 14m - 1320

Now we can use the quadratic formula to solve for m:
m = (-b ± √(b^2 - 4ac))/(2a)
m = (-(−14) ± √((−14)^2 - 4(4)(-1320)))/(2(4))
m = (14 ± √(196 + 21120))/8
m = (14 ± √21316)/8
m = (14 ± 146)/8

Now we have two possible values for m:
m = (14 + 146)/8 = 160/8 = 20
m = (14 - 146)/8 = -132/8 = -16.5

Since m must be a positive integer, we can conclude that m = 20. Therefore, the sum of the first 20 terms of the arithmetic sequence is 660.

Here to learn more about The Arithmetic Sequence at the link https://brainly.com/question/28369191

#SPJ11

The domain and ranges of the relations are;

3. Domain; {3, 5, -10, 9}

Range; {-4, 0, 6}

4. Domain; -2 ≤ x ≤ 4

Range; -2 ≤ y ≤ 4

The domain is the set of the set of the possible input values of the relation and the range is the set of the possible output values of the relation

3. {(3, -4), (5, -4), (3, 0), (-10, 6), (9, 6)}

The above ordered pair are presented in the form (x, y), where, the input values are the x-values and the output values are the y-values

The domain which is the set of the input values is therefore;

The range is therefore;

The x-value of 3 has two different y-values of -4 and 0. therefore, the relation is not a function

4. The relation is location of points on the circumference of a circle.

The input values are the x-values related to the graph, and the output values are the y-values related to the points on the circumference of the circle.

The diameter of the circle parallel to the x-axis extends from (-2, 1) to (4, 1)

The coordinates of locations on the diameter of the circle parallel to the y-axis are; (1, 4), and (1, -2)

The possible x-values, and therefore the domain are; -2 ≤ x ≤ 4

The possible y-values and therefore the range (vertical extension or reach of the circle) are; -2 ≤ y ≤ 4

The x-value of x = 1 has two y-values of -2 and 4, the relation between the x and y-values is therefore not a function.

Learn more on functions here: https://brainly.com/question/29869165

#SPJ1

Answer:

Therefore, the product of (5v + 2)(2v - 4) is 10v^2 - 16v - 8.

Step-by-step explanation:

To find the product of (5v + 2)(2v - 4), we can use the FOIL method, which stands for First, Outer, Inner, Last. This method involves multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms, and then adding the resulting terms.

Using the FOIL method, we get:

(5v + 2)(2v - 4) = (5v)(2v) + (5v)(-4) + (2)(2v) + (2)(-4)

Simplifying, we get:

10v^2 - 20v + 4v - 8

Combining like terms, we get:

10v^2 - 16v - 8

Therefore, the product of (5v + 2)(2v - 4) is 10v^2 - 16v - 8.

To find out how much flour Ricky needs, we first need to find 1 1/2 times the amount of flour in the original recipe.

2 3/3 cups of flour is the same as 8/3 cups of flour.

To find 1 1/2 times the amount of flour in the original recipe, we can multiply 8/3 by 1 1/2:

8/3 x 3/2 = 24/6 + 4/6 = 28/6

So 1 1/2 times the amount of flour in the original recipe is 28/6 cups of flour.

To find out how much flour Ricky needs, we can multiply this amount by 1 1/2:

28/6 x 3/2 = 84/12 + 18/12 = 102/12

So Ricky needs 102/12 cups of flour, which simplifies to 8 1/2 cups of flour.

Answer:

1 cake

Step-by-step explanation:

12 slices = 2 cakes

6 slices = 1 cake

It will take approximately 12 years and 9 months for Sienna Rose's money to grow to $7000.

What is compound interest?

Compound interest is interest that is calculated not only on the original principal amount of a loan or investment but also on any accumulated interest from previous periods. In other words, the interest earned on an investment or the interest charged on a loan is added to the principal, and then the interest for the next period is calculated on the new total amount.

For example, if you invest $1,000 at an annual interest rate of 5%, and the interest is compounded annually, you would earn $50 in interest at the end of the first year. Instead of receiving that $50, it would be added to your principal, so your new balance would be $1,050. The following year, you would earn 5% interest on $1,050, which would be $52.50. This process would continue for each year of the investment.

Compound interest can be very beneficial for long-term investments, as the interest earned on the accumulated interest can significantly increase the total return. However, it can also work against you in the case of loans, as the interest charged on the accumulated interest can quickly increase the total amount owed.

We can use the formula for compound interest to solve this problem:

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

where

A is the amount of money after t years,

P is the principal (starting amount),

r is the annual interest rate (as a decimal),

n is the number of times the interest is compounded per year, and

t is the time (in years).

In this case,

P = $4000,

r = 0.036 (since the interest rate is given as 3.60% per year),

n = 12 (since the interest is compounded monthly), and

we want to find t when A = $7000.

Substituting these values into the formula, we get:

$7000 = $4000(1 + 0.036/12)^(12t)

Dividing both sides by $4000 and taking the natural logarithm of both sides, we get:

ln(1.75) = 0.003 t

Solving for t, we get:

t = ln(1.75)/(0.003)

t ≈ 153.71 months

Therefore, it will take approximately 153 months, or 12 years and 9 months (since there are 12 months in a year), for Sienna Rose's money to grow to $7000.

To know more about compound interest visit:  

https://brainly.com/question/20406888?referrer=searchResults

#SPJ1

The compound interest at the end of 6 years is $1725.14

Compound interest is a type of interest that is calculated not only on the initial principal amount but also on any accumulated interest that has been added to the principal. In other words, the interest that is earned on the principal is added to the principal, and then interest is calculated on the new total.

The formula for compound interest compounded continuously is

A = Pe^rt

A = 1100e^(0.075 * 6)

A = $1725.14

Learn more on compound interest here;

https://brainly.com/question/2883200

#SPJ1

20 centimeter is approximately equal to 7.8740 inches ( rounded to four decimal places )

To convert 20 cm to inches, we can use the following formula:

1 cm = 0.393701 inches

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in inches = conversion factor × The length in centimeter

Substitute the values in the equation

20 cm = 20 x 0.393701

Multiply the numbers

= 7.8740 inches ( rounded to four decimal places )

Therefore, 20 centimeter is 7.8740 inches

Learn more about conversion factor here

brainly.com/question/5056146

#SPJ4

To find the minimum score needed to be in the top 7%, we need to find the score that corresponds to the 93rd percentile, since the top 7% is the complement of the bottom 93%.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 93rd percentile, which is approximately 1.44. This means that a score of 1.44 standard deviations above the mean corresponds to the 93rd percentile.

To find the actual score, we can use the formula:

z = (x - μ) / σ

where z is the z-score, x is the actual score, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z * σ + μ

= 1.44 * 6.1 + 76.4

= 85.084

So, the minimum score needed to be in the top 7% is approximately 85.084 points.

The given sequence is an arithmetic sequence.

An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a fixed constant called the common difference to the previous term. A geometric sequence is a sequence of numbers in which each term after the first is obtained by multiplying the previous term by a fixed constant called the common ratio.

In the given sequence

103.8 - 111 = -7.2

96.6 - 103.8 = -7.2

Similarly we can observe that each term is obtained by subtracting 7.2 from the previous term. Therefore, the common difference is -7.2, and the sequence is an arithmetic sequence.

To know more on sequence

https://brainly.com/question/21961097

#SPJ4

Answer:

-15°

Step-by-step explanation:

We know that at 7 pm it started at -6°, and that every 2 hours until 2 am, it dropped by 2 degrees.

From that we can form this expression:

-6-2x, with x being the number of hours it dropped.

From 7 pm to 2 am is 7 hours, therefore -6-2(7) = -20°

From 2 am until 7 am, it began raising 1 degree per hour.

We can write that as:

-20 + x, with x being the number of hours it went up.

From 2 am to 7 am is 5 hours:

-20 + 5 = -15°

Therefore, the temperature at 7 am is -15°.

El par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.

El par ordenado que formaría una relación proporcional con el punto que se muestra a continuación es (90, 60). Para encontrar una relación proporcional en un plano coordenado, debemos encontrar dos puntos que tengan la misma pendiente.

La pendiente de una línea se calcula utilizando la fórmula (y2 - y1) / (x2 - x1).

Usando los puntos dados (0, 0) y (45, 30), podemos calcular la pendiente de la línea:

Pendiente = (30 - 0) / (45 - 0)

= 30 / 45

= 2 / 3

Ahora, podemos calcular la pendiente de cada uno de los pares ordenados dados y compararlos con la pendiente de la línea:

(10, 10):

Pendiente = (10 - 0) / (10 - 0)

= 10 / 10

= 1 (no es proporcional)

(25, 35):

Pendiente = (35 - 0) / (25 - 0)

= 35 / 25 = 7 / 5 (no es proporcional)

(70, 50):

Pendiente = (50 - 0) / (70 - 0)

= 50 / 70 = 5 / 7 (no es proporcional)

(90, 60):

Pendiente = (60 - 0) / (90 - 0)

= 60 / 90 = 2 / 3 (es proporcional)

Por lo tanto, el par ordenado (90, 60) tiene la misma pendiente que la línea y forma una relación proporcional con el punto dado.

Learn more about proportion at https://brainly.com/question/29474065

#SPJ11

The spherical tanks of Eindhoven can hold a maximum of approximately 14,137 cubic meters of water.

The maximum amount of water that one of the spherical tanks of Eindhoven will hold can be found using the formula for the volume of a sphere:

V = (4/3) * π * [tex]r^3[/tex]

where V is the volume of the sphere, r is the radius of the sphere, and π is a constant equal to approximately 3.14159.

According to the Eindhoven website, the diameter of each spherical tank is 30 meters. The radius, therefore, is half of the diameter, which is:

r = 30/2 = 15 meters

Substituting this value into the formula for the volume of a sphere, we get:

V = (4/3) * π * [tex](15)^3[/tex]

V ≈ 14,137 cubic meters

When we round this to the closest integer, we obtain:

Maximum amount of water = 14,137 cubic meters

Therefore, one of the spherical tanks of Eindhoven can hold a maximum of approximately 14,137 cubic meters of water.

for such more question on maximum

https://brainly.com/question/12446886

#SPJ4

a) The economic order quantity is 300 units.

b) The annual holding costs are 3,750.

c) The annual ordering costs are 3,750.

d) The reorder point is 117 units.

To solve this problem, we can use the Economic Order Quantity (EOQ) model, which helps determine the optimal order quantity to minimize total inventory costs. The formula for EOQ is:

[tex]EOQ = \sqrt{((2DS/H)}[/tex]

where D is the annual demand, S is the setup cost per order, and H is the annual holding cost per unit.

a) Find the economic order quantity:

D = 15,000 units

S = 75 per order

H = 25 per unit per year

Substituting into the formula for EOQ:

[tex]EOQ = \sqrt{((2\times15000\times75)/25)} = \sqrt{90000} = 300 units[/tex]

Therefore, the economic order quantity is 300 units.

b) Find the annual holding costs:

To find the annual holding costs, we need to multiply the average inventory level by the holding cost per unit. Half of the EOQ can be used to compute the average inventory level.

Average inventory level = [tex]EOQ/2 = 300/2 = 150 units[/tex]

Annual holding costs = Average inventory level x Annual holding cost per unit

= [tex]150 \times25 = 3,750[/tex]

Therefore, the annual holding costs are 3,750.

c) Find the annual ordering costs:

To find the annual ordering costs, we need to divide the annual demand by the EOQ and then multiply by the setup cost per order:

Number of orders per year = Annual demand / EOQ =[tex]15,000 / 300 = 50[/tex] orders per year

Annual ordering costs = Number of orders per year x Setup cost per order

=[tex]50 \times75 = 3,750[/tex]

Therefore, the annual ordering costs are 3,750.

d) What is the reorder point?

The inventory level at which a new order ought to be placed is known as the reorder point. It is calculated as the lead time demand plus safety stock. The lead time demand is the demand during the lead time, which is 2 working days in this case. We can assume that the demand is evenly distributed over the 300 working days per year, so the lead time demand is:

Lead time demand = (Annual demand / 300) x Lead time = [tex](15,000 / 300) \times 2 = 100 units[/tex]

The safety stock is the buffer inventory kept to cover unexpected demand during the lead time. The safety stock depends on the desired service level and the variability of demand and lead time. Assuming a 95% service level and a normal distribution of demand and lead time, we can use the z-score corresponding to a 95% service level, which is 1.645. The standard deviation of demand during the lead time can be estimated as the square root of the lead time demand:

Standard deviation of demand during lead time = [tex]\sqrt{100}[/tex] = 10 units

The safety stock is then:

Safety stock = z-score x Standard deviation of demand during lead time

= [tex]1.645 \times 10 = 16.45[/tex] units (rounded up to 17 units)

Therefore, the reorder point is:

Reorder point = Lead time demand + Safety stock

= [tex]100 + 17 = 117[/tex]units

Therefore, the reorder point is 117 units.

for such more question on reorder point

https://brainly.com/question/26814787

#SPJ4

The Volume of Alcohol when Mass is 1000 Kg and Density is 790kg/m³

is 1.265 m³

The relationship between a substance's mass and the amount of space it occupies is known as its density (volume). The density of a substance is determined by the mass, size, and arrangement of its atoms. Density (D) is defined as the product of a substance's mass and volume.

Given:

Mass of Alcohol = 1000 Kg

Density of alcohol = 790kg/m³

Using The formula

Density= Mass / Volume

790 = 1000/ Volume

Volume = 1000/ 790

Volume = 1.265 m³

Learn more about Density here:

https://brainly.com/question/29775886

#SPJ9

The Translation of given Question:

What volume in cubic meters does 1000kg of alcohol occupy with a density of 790kg/m3

The method of paying off the credit card that will take the longest period of time is B. Paying the minimum balance each month.

Paying the minimum balance each month will take the longest period of time to pay off the credit card. The minimum payment is typically a small percentage of the outstanding balance, which means that it will take a longer time to pay off the entire balance.

Additionally, interest charges will continue to accrue on the remaining balance, which can increase the total amount owed over time. Making fixed payments each month and snowballing payments according to the highest interest rate or the lowest balance can help to pay off the credit card more quickly.

Find out more on paying off credit card at https://brainly.com/question/9696875

#SPJ1

The fraction of the group who had a score of 35 or more is 20%.

A histogram is a graphical representation of the distribution of numerical data. It consists of a series of bars (or rectangles) that are aligned along an axis, typically the x-axis, with the area of each bar proportional to the frequency or count of data points that fall within a specific interval or bin on that axis. Histograms are commonly used in statistics and data analysis to show the frequency distribution of a dataset. They allow you to visualize the shape of the distribution, including the central tendency (mean, median, mode) and the spread (variance, standard deviation). Histograms can also be used to identify outliers, gaps, and patterns in the data. They are often used in quality control to identify defects, in finance to analyze stock prices, in biology to analyze population distribution, and in many other fields where numerical data needs to be analyzed and understood visually.

Here,

First, you need to determine the range of scores represented in the histogram. This should be indicated by the x-axis of the histogram. Next, you need to identify the bin or bins in the histogram that correspond to scores of 35 or more. A bin is a group or interval of scores. The height of each bin represents the frequency or count of scores in that interval. Once you have identified the bin(s) that correspond to scores of 35 or more, you need to sum the heights of those bins to get the total count or frequency of scores that are 35 or higher. Finally, you can divide the total count or frequency of scores that are 35 or higher by the total count or frequency of scores in the entire histogram to get the estimated fraction of the group who had a score of 35 or more.

For example, if the histogram represents the happiness scores of 100 people and the bin or bins that correspond to scores of 35 or more have a total count of 20, then the estimated fraction of the group who had a score of 35 or more is 20/100 = 0.2 or 20%.

To know more about histogram,

https://brainly.com/question/30354484

#SPJ1

The  Ivan ran a total distance of 550 meters and the Ivan's displacement was 150 meters to the east.

1. To calculate the distance, we need to add up all the distances Ivan ran, regardless of the direction.

Total distance = 300 m + 200 m + 50 m = 550 m

2. To calculate the displacement, we need to find the net change in Ivan's position, which takes into account both distance and direction.

We can start by drawing a diagram to represent Ivan's motion:

      <--- 300 m --->  <--- 200 m ---> <--- 50 m --->

              East              West             East

                (+)               (-)              (+)

Here, the arrows represent the direction of Ivan's motion, and the symbols (+) and (-) represent the direction of his displacement.

To find the displacement, we can add up the individual displacements:

Displacement = +300 m - 200 m + 50 m = +150 m

The positive sign indicates that Ivan ended up 150 meters east of his starting position.

So Ivan's displacement was 150 meters to the east.

Learn more about distance here: https://brainly.com/question/26550516

#SPJ1

All the angle measures are;

m∠A = 160°

m∠B  = 142°

m∠C = 120°

m∠D  = 156°

m∠E = 31°

m∠F = 111°

A hexagon is a six-sided polygon. And a convex hexagon means the hexagon's vertices are pointed outwards.

And no interior angle has an angle measuring of more than 180°.

Given:

The number of sides in the polygon = 6.

The total sum of the irregular angle = (4 - 2) x 180° = 720°.

7x - 8 + 4x + 46 + 5x + 6x + 12 + x + 7 + 5x - 9 = 720°.

28x = 720 - 48

x = 24

Substituting all the values of x = 24 to all the interior angle measures,

Now, all the measures are:

m∠A = 7x - 8 = 160°

m∠B = 4x + 46 = 142°

m∠C = 5x = 120°

m∠D = 6x + 12 = 156°

m∠E = x + 7 = 31°

m∠F = 5x - 9 = 111°

Therefore, all the measures are given above.

To learn more about the hexagon;

https://brainly.com/question/16615236

#SPJ1

The complete question is given in the image below.

The median of a sample will always equal the 50th percentile.

The median of sample data is the middle value when the data is arranged in order from lowest to highest. In other words, it is the value that separates the lower 50% of the data from the upper 50%.

The median is often used as a measure of central tendency in a dataset because it is not affected by extreme values or outliers in the way that the mean is. If the sample size is odd, the median is simply the middle value, If the sample size is even, the median is the average of the two middle values.

The median is also known as the second quartile and the 50th percentile. As a result, the median of a sample will always equal the 50th percentile.

Learn more about the median here:
https://brainly.com/question/26177250
#SPJ1

The cost for children meal is $14 and the cost for adult meal is $40.

A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.

Let cost of adult meal = a

Let cost of child meal = c

Lorenzo plans to have 98 adults and 77 children attend, so the total projected cost of her meals is $4998.This will be:

98a + 77c = 4998 ...... (1)

Ruth has 71 adults and 91 children on her guest list, so he will pay the caterer $4114. This will be;

71a + 91c = 4114 ......    (2)

Multiply (1) by 71 and (2) by 98

6958a + 5467c = 354858      (3)

6958a + 8918c = 403172         (4)

subtract (3) from (4)

3451 c = 48314

c = 14

The cost of children meal is $14.

From equation (1),

98a + 77c = 4998

98a + 77(14) = 4998

98a + 1078 = 4998

Collect like terms

98a = 4998 - 1078

98a = 3920

a = 40

Adult meals is $40.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

The value of x after the following code 'int x = 10; for (int y=5; y<20; y = 5) x = y' is executed will be 5.

The given for loop initializes the variable y to 5, then checks if y is less than 20, and then sets y to 5 again in each iteration. This means that the loop will execute only once with the value of y being 5, and after that, the loop condition will always be false because y is never incremented or changed in any way.

During the execution of the loop, the value of y is assigned to the variable x. Therefore, after the loop, the value of x will be 5.

So, the final value of x will be 5.

For more questions on Algebra

https://brainly.com/question/432678

#SPJ4

The solution is, the percent error of the measurement is 4.5%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

To calculate the error, we first need to subtract Christopher measurement of the line by the actual length of the line to find the absolute error:

11.1 - 10.6 = 0.5

The absolute error is 0.1 inches.

Now, to know the percent error, we need to divide this value of error by the actual length of the line:

0.5 /11.1

= 0.045

= 4.50%

= 4.5%

So the percent error of the measurement is 4.5%

To learn more on percentage click:

brainly.com/question/13450942

#SPJ1

F(1) is equal to 0 for the given function F(x).

In order to evaluate a function at a specific value, you simply substitute that value for the input variable in the function and simplify the resulting expression.

If you are given a specific function F(x) and are asked to evaluate it at a specific value, say F(1), then you would substitute x=1 in the function F(x) and simplify the expression.

For example, if [tex]F(x) = x^2 + 2x - 3[/tex], then to evaluate F(1), we substitute x=1 in the expression:

[tex]F(1) = (1)^2 + 2(1) - 3[/tex]

Simplifying the expression, we get:

F(1) = 1 + 2 - 3 = 0

Hence, F(1) is equal to 0 for the given function F(x).

A function is a mathematical rule that takes an input value, processes it, and produces an output value. The input value is called the independent variable, and the output value is called the dependent variable, because its value depends on the input.

A function can be represented in various ways, such as an algebraic expression, a graph, a table, or a verbal description. For example, the function f(x) = 2x + 1 is an algebraic expression that represents a linear function, where the independent variable is x and the dependent variable is f(x).

Functions are used to describe and model relationships between variables in various fields of mathematics, science, engineering, economics, and other disciplines. They are important tools for analyzing and solving problems, and they can be used to make predictions, optimize processes, and design systems.

To know more about Functions visit :

https://brainly.com/question/11624077

#SPJ1

The north campus had 600 students and the south campus had 600 students.Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students).

Before the merger, the north campus had 10% of the students as women, which is the same as saying 10 out of every 100 students were women. This means that 100 students would have been 10 women. Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students). The same process can be done for the south campus, which had 50% of its students as women. This means that 50 out of every 100 students were women, which means that the total number of students at the south campus would have been 600 (50 women x 60 = 600 students). Therefore, the north and south campuses had 600 students each before the merger, for a total of 1200 students between the two campuses.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

Answer:4320

Step-by-step explanation:8% interest =108% which is equivalent to x1.08

4000 x 1.08 = 4320