Mary earns $28 000 a year. One week she grossed $658. 0. She had sold $1673. 19 worth of merchandise. What is the rate of her commission?.

a) If N is the population of the city and is the time in years, N expressed as a function of t is; N(t) = N₀*e^(kt)

b) The population 2 years from now will be; 25198 people

The general formula for exponential growth model is;

N(t) = N₀*e^(kt)

where;

f(x) is exponential growth function

N₀ is initial amount

t is time

k is constant

a) We are told that;

N is the population of the city.

t is the time in years

Thus, N expressed as a function of t is;

N(t) = N₀*e^(kt)

b) We are told that the population doubled in size over an 18-month

period . Thus, the equation would now be;

N(t) = N₀*2^(t/18)

Thus,  if the current population is 10000, then it means that 2 years from now, we will have;

N(2) = 10000 * 2^(24/18)

I used 24 because 2 years is 24 months

Thus;

N(2) ≈ 25198 people

Read more about Exponential growth model at; https://brainly.com/question/2456547

#SPJ1

Answer:

Answer down below!

Step-by-step explanation:

Once you multiply 0.85 * 18340 you get

15589

The total jewels that are inside the box will be 14160.

It should be noted that expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since one diamond in the safe deposit box is worth 12,000 if each of the other jewels are worth 2,160. The total jewels that are inside the box will be:

= 12000 + 2160

= 14160

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

|20 - 25| • 2  and 33 - |6 + 17| are the following absolute value expressions are equal to 10.

The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5. One way to think of a number's absolute value is as its distance from zero on the real number line. A more general form of the equation is y=a| xh |+k for an absolute value function.

Here,

|20 - 25| • 2,

=5*2

=10

33 - |6 + 17|

=33-23

=10

The absolute value expressions |20 - 25| • 2 and 33 - |6 + 17| are both equal to 10.

To know more about absolute value expressions,

https://brainly.com/question/25916081

#SPJ1

Answer: 55

Step-by-step explanation:

7x+13=9x+1

-1           -1

7x+12=9x

-7x       -7x

12=2x

12/2=6

x=6

7*6+13=55

9*6+1=55

The amount for 1 Liter of petrol in Wales is less than the amount for 1 Liter of Petrol in Spain

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 amount of petrol in Spain be = A

Let the amount of petrol in Wales be = B

Now , the total amount Sam paid for 18 Liters of petrol in Spain = 27 euros

1 euro = 0.85 pounds

So ,

Total amount Sam paid for 18 Liters of petrol in Spain = 27 x 0.85 pounds

Total amount Sam paid for 18 Liters of petrol in Spain = 22.95 pounds

So ,

The amount for 1 Liter of petrol in Spain = Total amount Sam paid for 18 Liters of petrol in Spain / 18

Substituting the values in the equation , we get

The amount for 1 Liter of petrol in Spain = 22.95 / 18

The amount for 1 Liter of petrol in Spain = £ 1.275

And ,

Now , the total amount Sam paid for 8 gallons of petrol in Wales = £ 40.80

1 gallon = 4.5 Liters

8 gallons = 4.5 x 8 Liters

8 gallons = 36 Liters

So ,

Total amount Sam paid for 36 Liters of petrol in Wales = £ 40.80

So ,

The amount for 1 Liter of petrol in Wales = Total amount Sam paid for 36 Liters of petrol in Spain / 36

Substituting the values in the equation , we get

The amount for 1 Liter of petrol in Wales = 40.80 / 36

The amount for 1 Liter of petrol in Wales = £ 1.13

£ 1.13  <   £ 1.275

Therefore , the amount for 1 Liter of petrol in Wales is less than the amount for 1 Liter of Petrol in Spain

Hence , The amount for 1 Liter of petrol in Wales is less than the amount for 1 Liter of Petrol in Spain

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

Answer:

6

Step-by-step explanation:

the hypotenuse of this special right triangle is twice the value of the leg near to the angle of 60°

x = 3 · 2 = 6

Answer:

Step-by-step explanation:

It is not possible to accurately compare the weight of 1 kilogram of corn to 1 cup of precooked corn because the weight of the corn will change after it is cooked. Corn is composed of water, starch, and other nutrients, and the weight of the corn will change depending on how much water is retained in the kernels.

For example, 1 cup of uncooked corn kernels (about 168 grams) will yield about 1 1/4 cups of cooked corn (about 210 grams), while 1 cup of precooked corn (about 160 grams) will yield about 1 cup of cooked corn (about 160 grams).

Therefore, the weight of 1 kilogram of corn (about 1000 grams) is significantly greater than the weight of 1 cup of precooked corn (about 160 grams). It is not possible to accurately compare the weight of these two quantities because they are in different states (raw versus cooked) and have different densities.

Answer:25$

Step-by-step explanation: 21$ is 84% of how much money Cho had last month. So we need to find 100%. You can use a proportion which makes it easier to solve in my opinion. The proportion is 21 over x = 84/100. x is the amount of money Cho had last month which we don't know. 84/100 is 84% out of 100% since any percent is always out of 100. If we cross-multiply and make the proportion into an equation. The equation: 84*x=21*100 which simplifies into 84x=2100. If you do 2100/84, you would get 25 which is x which is the amount of money Cho had last month.

Answer:

25

Step-by-step explanation:

x= 21 * 100/84

The absolute value of a correlation coefficient is the strength of the relationship between two variables.

Hence, the answer is (a) the strength of the relationship between two variables.

Correlation coefficients helps to determine the degree of  the relationship between two variables. It lies in a range of -1 to 1.

A positive correlation coefficient implies a positive relationship between the variables and a negative correlation coefficient implies an inverse relationship between the two variables. There is no linear link between the two variables if the correlation coefficient is zero.

--The question is incomplete, the correct question is as follows--

"14. The absolute value of a correlation coefficient is: a. The strength of the relationship between two variables. b. The direction of the relationship between two variables. c. The reliability of the relationship between two variables. d. The validity of the relationship between two variables."

To know more about correlation coefficient

https://brainly.com/question/27226153

#SPJ4

After solving the equation using the function rule the values of y are [tex]9,3,-3,-9[/tex].

A function rule is an equation that describes a relationship between two variables, where one is a dependent variable, and the other is an independent variable. Function rules are used to determine the value of the dependent variable for any given value of the independent variable. Function rules can be written as a formula, a graph, or a table of values. Function rules are often used in mathematics, physics, and other sciences to describe the behavior of a system or process.

Given: Function  [tex]y=-3x-3[/tex]

When we have a function, we just have to replace the x by the numbers on the table, in this case [tex]-4,-2,0,2[/tex].

Substituting the values of x we get,

y = -3 (-4) - 3 ⇒ 12 - 3 = 9

y = -3 (-2) - 3 ⇒ 6 - 3 = 3

y = -3 (0) - 3 ⇒ 0 - 3 = -3

y = -3 (2) - 3 ⇒ -6 - 3 = -9

Hence, the values of y are [tex]9,3,-3,-9[/tex].

To learn more about function rule
https://brainly.com/question/1528097

#SPJ1

Answer: 2. 55/8

Step-by-step explanation: Add the whole numbers first (5+1 = 6), then add the fractions (4/8 + 3/8 = 7/8). Now we have 6 7/8 and since they want the answer in fraction form we will multiply the 6 and the 8 (6x8=48) and then add the 7 to the 48 (7+48 =55) and we leave our answer over the denominator which is 8. This leaves us with the final answer of 55/8

The probability of randomly selected student who plays sport  given that student is senior is 0.04

P(A) denotes probability of occurring of  an event A

P(B) denotes probability of occurring of an event B

P(B/A)  is known as condition probability.

The dependent events are the only ones that give rise to the conditional probability P(B/A). The conditional probability of B given that A has happened is provided.

According to this question A denotes as student is senior

B denotes student plays sport.

What is the probability that a randomly selected  student plays a sport

given that the student is senior is same as conditional probability.

P(B/A) ->Condition probability of B given that A has happened.

Student is senior given we have to tell about student plays a sport.

P(B/A) = P(A∩B) / P(A)

Given that P(A∩B) = 0.10

P(A) = 0.25

P(B/A) = 0.10/0.25 = 0.4

Given Question is incomplete Complete Question here.

At a high school, the probability that a student is a senior is 0.25. The probability that a student plays a sport is 0.15. The probability that a student is a senior and plays a sport is 0.10. What is the probability that a randomly selected student plays a sport, given that the student is senior?

To know more about conditional probability here

https://brainly.com/question/11899923

#SPJ4

Answer: y=2x - 1

Step-by-step explanation:

The point slope form equation is y=mx + b

m is the slope, to find slope we need to find the rise/run

We see that the y increase by 2 and x increase by 1, so the slope is 2.

The y-intercept is at (0,-1), so the b is -1

So we have the equation y=2x - 1

The amount agency makes on the house is $16830 and the agent got $4207.5 based on the given rate or percentage.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Total cost of house = $374,000

The commission rate of real estate = 4.5%

4.5% of $374,000 = (4.5/100)374000 = $16830

The commission rate of agent = 25 % of $16830

(25/100)16830 = $4207.5

Hence "The amount agency makes on the house is $16830 and the agent got $4207.5 based on the given rate or percentage".

For more about the percentage,

brainly.com/question/13450942

#SPJ1

Answer:

Step-by-step explanation:

Given two inscribed quadrilaterals with various arcs and angles marked, you want to solve for specific unknown values.

The measure of an inscribed angle is half the measure of the arc it intercepts. The sum of arcs of a circle is 360°.

  Arc PSR = 2·∠PQR = 2·93° = 186°

  Arc RS = Arc PSR -Arc PS = 186° -90° = 96°

  Arc QR = 360° -126° -90° -96° = 48°

The unknown arcs are ...

Opposite angles in an inscribed quadrilateral are supplementary:

  105° +(7x +1)° = 180°

  7x = 74 . . . . . . . . . . . divide by °, subtract 106

  x = 74/7 = 10 4/7 . . . . . divide by 7

  (4y +14)° +(7y +1)° = 180°

  11y = 165 . . . . . . . divide by °, subtract 15

  y = 15 . . . . . . . . . divide by 11

The values of x and y are ...

We know that each friend will pay $13.3 using simple mathematical operations.

An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.

The operation's arity is determined by the number of operands.

The rules that specify the order in which we should solve an expression involving many operations are known as the order of operations.

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition Subtraction (from left to right).

So, we know that:

There are 5 friends.

Each ticket costs $11.75.

They have a large popcorn for $7.75.

Then, the amount that each friend will pay:

[(11.75*5)+7.75]/5

[58.75+7.75]/5

66.5/5

$13.3

Therefore, we know that each friend will pay $13.3 using simple mathematical operations.

Know more about mathematical operations here:

https://brainly.com/question/28937023

#SPJ4

Correct question:
Five friends go to a movie. Each movie ticket cost $11. 75. They have a large popcorn for $7. 75. If they divide the total cost equally, how much will each friend pay?

Answer:

Step-by-step

Each friend pays $3.9 each.  

1.   $11.75 + $7.75 = 19.50.

2. 19.50 divided by 5 (friends) is equal to 3.9.

The sample size is necessary if the 95% ci for p is to have a width of at most 0.15 irrespective of p being 385 people.

In statistics, a confidence interval describes the likelihood that a population parameter will fall between a set of values for a given percentage of the time. Confidence intervals that include 95% or 99% of anticipated observations are frequently used by analysts.

The largest confidence interval occurs when p = .5

The standard error = [tex]\sqrt{\frac{(0.5)^{2} }{x} }[/tex]

The z* for a 95% confidence interval = 1.96

Setting up an equation,

[tex]1.96\sqrt{\frac{(0.5)^{2} }{x} } = 0.05[/tex]

Solving gives x=384.2.

So you need 385 people.

To learn more about sample size here:

https://brainly.com/question/25894237

#SPJ4

Answer:

-2/5

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

get a calculator and click those numbers you will find out the answer

From all the given statements, statement 1 is the best way to explain, the sum of the areas of the two white squares in figure 2 is the same as the area of the white square in figure 1.

What is an area of a triangle?

The area of a  triangle is half the product of the base of the triangle and the height of the triangle.

Area = 1/2 * base * height

As given the Area of both the big squares of figure 1 and figure 2 are equal because the side of both the squares is equal, therefore, (a+b).

figure 1,

Big square = (a+b)²,

figure 2,

Big square = (a+b)²,

Also, the sides of the 4 triangles are also the same giving the same area for all 8 triangles from Figures 1 and 2.

Figure 1,

area for 1 triangle = ab/2

area for 4 triangle =  4*(ab/2)

area for white square = big square area - 4 triangles area

                                    = (a+b)² - 4*(ab/2)

Figure 2,

area for 1 triangle = ab/2

area for 4 triangle =  4*(ab/2)

area for white square = big square area - 4 triangles area

                                    = (a+b)² - 4*(ab/2)

Hence, the given statement, statement 1 is the best way to explain, the sum of the areas of the two white squares in figure 2 is the same as the area of the white square in figure 1.

To learn more about the area of the triangle, visit:

https://brainly.com/question/1631786

#SPJ1

11.18033

let b=x

use pythag and rearrange for side b. Then simply maths.

Answer: need brainliest

Step-by-step explanation:

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{-\frac{5}{2}})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{\left( -\frac{5}{2} \right)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-3)}}} \implies \cfrac{-8+\frac{5}{2}}{3+3}\implies \cfrac{~ \frac{ -16+5}{2 } ~}{6}\implies \cfrac{~ \frac{ -11}{ 2} ~}{6} \\\\\\ \cfrac{~ \frac{ -11}{ 2} ~}{\frac{6}{1}}\implies \cfrac{ -11}{ 2}\cdot \cfrac{1}{6}\implies -\cfrac{11}{12}[/tex]

The lowest integer value m can take in the inequality 7m + 5 > 49 - 3m is 5.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

In other words, Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Therefore, let's solve the inequality for the lowest integer value of m

7m + 5 > 49 - 3m

add 3m to both sides of the inequality

7m + 5 > 49 - 3m

7m + 3m + 5 > 49 - 3m + 3m

10m + 5 > 49

subtract 5 from both sides of the inequality

10m + 5 > 49

10m + 5 - 5 > 49 - 5

10m > 44

m > 44 / 10

m > 4.4

Hence,

lowest integer = 5

learn more on inequality here: https://brainly.com/question/20383699

#SPJ1

Area will be 2[tex]r^{2}[/tex]

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form.

Given radius of circle is r

Then area of circle=π[tex]r^{2}[/tex]

The diagonal of the square is comparable to the diameter (2r) of the circle since two opposing corners of the square contact it.

Now, we will set up Pythagoras' Theorem to determine one side of the square:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

Since it is a square a=b which means all  the sides are same

∴2[tex]a^{2}[/tex] = [tex]c^{2}[/tex]

We know c, which is 2r, the diagonal.

∴2[tex]a^{2}[/tex] = [tex](2r)^{2}[/tex]

⇒[tex]a^{2}[/tex] = 2[tex]r^{2}[/tex]

We can leave it as [tex]a^{2}[/tex]

since a is one side of the square and [tex]a^{2}[/tex] would be the area of the square.

So the area of the square =2[tex]r^{2}[/tex]

To know more about area check the link:

brainly.ph/question/16713920

#SPJ4

To find the distance from the blimp to the stadium, we can use the tangent function and the information given in the problem. The tangent of an angle is defined as the ratio of the opposite side to the adjacent side in a right triangle. In this case, we can use the angle of depression to the stadium, the altitude of the blimp, and the distance from the blimp to the stadium to form a right triangle.

We can then use the tangent function to find the distance from the blimp to the stadium as follows:

tan(7°) = opposite/adjacent

opposite = tan(7°) * adjacent

opposite = tan(7°) * 400 m

opposite = 0.1214 * 400 m

opposite = 48.56 m

To convert this distance from meters to kilometers, we can divide the distance in meters by 1000, as follows:

Distance in kilometers = 48.56 m / 1000

Distance in kilometers = 0.0486 km

Therefore, the distance from the blimp to the stadium is approximately 0.0486 km.

The Cp and Cpk values indicate that the process is capable of meeting the specifications for relative humidity in the greenhouse.

The amount of water vapor in the air as compared to the maximum amount that it can contain at a certain temperature is known as relative humidity. It is computed as a percentage by dividing the actual amount of water vapor in the air by the maximum amount of water vapor the air can contain at the same temperature, then multiplying the result by 100. For instance, if the air can hold 10 grams of water vapor at a certain temperature and there are only 5 grams of water vapor present, the relative humidity would be 50%. High relative humidity can be uncomfortable and promote the development of mold and other microorganisms.

How to solve?

The mean is (60+78+70+84+81+80+85+60+88+75)/10 = 76.8

The standard deviation is sqrt(((60-76.8)^2+(78-76.8)^2+(70-76.8)^2+(84-76.8)^2+(81-76.8)^2+(80-76.8)^2+(85-76.8)^2+(60-76.8)^2+(88-76.8)^2+(75-76.8)^2)/10) = 6.9

Cp = (85-65)/(66.9) = 0.56

Cpk = min((85-76.8)/(36.9), (76.8-65)/(36.9)) = min(0.86, 0.71) = 0.71

The Cp and Cpk values indicate that the process is capable of meeting the specifications for relative humidity in the greenhouse.

To learn more about relative humidity, visit:

https://brainly.com/question/29412633

#SPJ4

Answer:

53 if rounding to nearest 10

53.38 if not

Step-by-step explanation:

It's pretty simple actually, let's put vocabulary though

π = pie

r = radius C = circumference

ok now the formula for circumference is,

C = 2πr

because they gave you the radius, it is very simple

plug it in.

C = 2(3.14)(8.5)

3.14 x 2 = 6.28

8.5 x 6.28 = 53.38

if you're rounding to the nearest 10 it will be 53.

welcome:)

The temperature of this object in degrees Celsius is equal to -270.65°C.

Temperature can be defined as a measure of either the degree of hotness or coldness of a physical body (object).

In Science and Mathematics, temperature is measured by using a thermometer and its units include the following:

In this exercise, you're required to convert the value of temperature in degree Fahrenheit (°F) to Celsius (°C). Therefore, we would use the following mathematical expression (formula) to perform the conversion:

C = K - 273.15

When t = 2.5 K, we have:

C = K - 273.15

C = 2.5 - 273.15

C = -270.65°C.

Read more on Celsius here: https://brainly.com/question/5684726

#SPJ1