Construct the exponential function that contains the points (0,6) and (3,48).

The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

The marked price of the article was $7865

​Answer:

solution given:

let marked price be x=?

discount =20%

vat=13%

selling price =$7232

we have

discount amount=discount % of marked price=20/100*x=0.2 x

and

vat amount = vat% of selling price=13/100*$7232=$940.16

we have

Selling price with tax  =marked price - discount amount + vat amount

$7232=x-0.2x+$940.16

$7232-$940.16=x-0.2x

0.8x=$6291.84

x=$6291.84/0.8

x=$7864.8

The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 coincide and have an infinite number of solutions.

We know two simultaneous equations have a unique solution when they intersect at a point,

when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.

Given, A system of equations,

4x + 3y = - 2 and 6y = - 4 - 8x.

Rearranging the equations,

4x + 3y = - 2 and 8x + 6y = - 4.

Now, The second equation is a multiple of the first as,

2(4x + 3y) = 2(-2).

Therefore, The system of equations 4x + 3y = - 2 and 8x + 6y = - 4 these two lines coincide and they have an infinite number of solutions as each point of one line lies to another.

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Answer:

living organism

Step-by-step explanation:

soil particals and decad crops living organism

ICD-10 is a coding system used to classify diseases and medical conditions. One of the conditions that can be classified using this system is rheumatoid arthritis,

which is a chronic autoimmune disease that causes inflammation in the joints. When rheumatoid arthritis involves multiple sites, it means that it affects more than one joint in the body.

Rheumatoid arthritis is a common condition that affects millions of people worldwide. It can affect any joint in the body, but it most commonly affects the hands, wrists, and feet. When it involves multiple sites, it can cause pain and stiffness in many different joints, including the knees, hips, shoulders, and spine.

The symptoms of rheumatoid arthritis involving multiple sites can vary from person to person. Some people may experience mild pain and stiffness, while others may have more severe symptoms that affect their ability to perform daily activities. In some cases, rheumatoid arthritis can also cause fatigue, fever, and weight loss.

Treatment for rheumatoid arthritis involving multiple sites typically involves a combination of medication, physical therapy, and lifestyle changes. Medications such as nonsteroidal anti-inflammatory drugs (NSAIDs), disease-modifying antirheumatic drugs (DMARDs), and biologics can help to reduce inflammation and pain.

Physical therapy can help to improve joint mobility and reduce stiffness. Lifestyle changes such as exercise, weight loss, and stress reduction can also be beneficial.

In conclusion, rheumatoid arthritis involving multiple sites is a chronic autoimmune disease that causes inflammation in more than one joint in the body. It can cause a range of symptoms, from mild pain and stiffness to more severe joint damage. Treatment typically involves a combination of medication, physical therapy, and lifestyle changes.

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Answer:

7/36

Ask me if you need the steps (:

The slope of the required line is -2 and the y-intercept of the required line is -10, giving the equation of the required line as \(y = -2x - 10.\)

Given the equation of the line: r - 2y = 5.Since the equation is not given in the form y = mx + b, we have to convert it to that form. Therefore, r - 2y = 5⇒ r = 2y + 5.Dividing both sides of the equation by 2, we get, y = (1/2)r - 5/2Comparing the given equation with y = mx + b, we get m = 1/2, b = -5/2.

Now, the given line is: y = (1/2)r - 5/2Since we need to find the equation of the line that is perpendicular to the given line, we need to find the slope of the line that is perpendicular to the given line. The slope of the given line is m = 1/2. The slope of the line that is perpendicular to this line is the negative reciprocal of 1/2.

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Answer:

Step-by-step explanation:

1) If a farm has 15 rows of fruit trees with 7 trees in each row, the total number of trees in the farm will be 15*7 = 105 trees

If the last four rows of trees are cherry trees, the total numner of cherry trees will be 4 * 7 = 28 trees

Let the total trees in the farm = number of cherry trees + orange trees

orange trees = total trees - cherry trees

orange trees = 105 - 28

orange trees = 77 tress

Hence there are 77 orange trees in the farm

2) If at the bakery, there are 5 rows with 12 chocolate chip cookies on each tray, the total number of cookies on the tray will be 5 * 12 = 60 chocolate cookies

Also if there are 2 trays with 14 cookies on each tray, the total cookies on both tray s will be 2 * 14 = 28 cookies

If 7 cookies are sold, the number of cookies left will be 28 - 7 = 14 cookies

Hence 14cookies will be left over

Answer:

the area of the circle is the number of boxes in the box minus no .of boxes in circle....

hay claudia do u remember me

Answer:

look at the picture .

Step-by-step explanation:

look at the picture .

Answer:

a

Step-by-step explanation:

its a because i looked it up and it said a

The division of 12e⁵ by 3e³ will be 4e².

In mathematics, the arithmetic operation has four main operators such as addition, subtraction, multiplication, and division.

The symbol of + represents the addition

The symbol of ÷  represents the division

The symbol of - represents subtraction

The symbol of × represents multiplication

Given the division,

12e⁵ by 3e³

⇒ 12e⁵ / 3e³

⇒ 12/3 × e⁵/e³

⇒ 4e²

Hence "The division of 12e⁵ by 3e³ will be 4e²".

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Answer:

Step-by-step explanation:Find the GCD (or HCF) of numerator and denominator GCD of 2 and 3 is 1

Divide both the numerator and denominator by the GCD 2 ÷ 1 3 ÷ 1

Reduced fraction: 2 3 Therefore, 2/3 simplified to lowest terms is 2/3.

The present value of the income stream is approximately 25042.53 dollars. The future value of the income stream is approximately 30794.02 dollars.

To find the present and future values of an income stream, we can use the formulas for continuous compound interest.

The formula for the present value of a continuous income stream is given by:

\(PV = C / r * (1 - e^(-rt))\)

Where PV is the present value, C is the annual income, r is the interest rate (as a decimal), and t is the time period in years.

Substituting the given values into the formula:

C = 3000 dollars

r = 0.06 (6 percent as a decimal)

t = 5 years

\(PV = 3000 / 0.06 * (1 - e^(-0.06 * 5))\)

Calculating the present value:

PV ≈ 25042.53 dollars

Therefore, the present value of the income stream is approximately 25042.53 dollars.

The formula for the future value of a continuous income stream is given by:

\(FV = C / r * (e^(rt) - 1)\)

Substituting the given values into the formula:

C = 3000 dollars

r = 0.06 (6 percent as a decimal)

t = 5 years

\(FV = 3000 / 0.06 * (e^(0.06 * 5) - 1)\)

Calculating the future value:

FV ≈ 30794.02 dollars

Therefore, the future value of the income stream is approximately 30794.02 dollars.

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Answer:

2.333

or

7/3

Step-by-step explanation:

7(1/3)

7/1 x 1/3+

7/3

Two lines are said to be perpendicular if and only if the measure of the angle between them is \(90^{o}\).

A line segment has two ends called endpoints. So that two given line segments would be perpendicular when the measure of the angle between them is exactly \(90^{o}\).

Thus considering the given diagram, for there to be line segments AD and BE, then the diagram has to be redrawn appropriately. (the appropriate diagram is attached to this answer for clarification).

So, line segment AD would be perpendicular to line segment BE only if they are at an angle of \(90^{o}\) to each other.

fgherterty

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Answer:

I believe this question is asking for which of the following equations fits the situation, however since there is no equations given I solved it below.

The answer is 5.3 t-shirts

Step-by-step explanation:

$100 - $20 = $80

Audrey has $80 to spend on t-shirts.

80 / 15 = 5.3

Audrey can buy 5.3 t-shirts

The value of the function, f(0) is 13. However, we are instructed not to include f(0) in our answer. This means that we can state that we have found the value of f(0) to be 13, but we cannot include 13 in our answer.

When we are given a function, one of the first things we may want to do is evaluate it at a specific point. One way to do this is by substituting the value into the function and simplifying it. In this case, we are asked to find the value of f(x) at x=0 for the function f(x) = 5^x + 12 without using a calculator.

To find the value of f(0), we simply substitute 0 for x in the given function:

f(0) = 5^0 + 12

Now, any non-zero number raised to the power of 0 is equal to 1. This means that 5^0 is equal to 1. Therefore, we have:

f(0) = 1 + 12

Simplifying the expression, we get:

f(0) = 13

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Step-by-step explanation:

Yes, 22 words per minute is an example of a unit rate. A unit rate compares a quantity to one unit of another quantity. In this case, the rate is 22 words per minute, indicating that there are 22 words for every 1 minute

Answer:

11 years old

Step-by-step explanation:

Maggie's age is x

Maggie's brother = 4x - 7

The sum is 48

x + 4x - 7 = 48

5x - 7 = 48

5x = 55

x = 11

The change in the allocation of congressional seats based on changes in the population is called redistricting.

The process of altering the borders of electoral districts or constituencies in response to population changes is known as redistricting. The census is taking a note of the population in an interval of ten years to check the population of the united states nationally and also in each and every state.

Further on the data from the census will be helping to calculate the number of the states in the house of representative from the states. This is done to make sure the one person one vote agenda. Redistricting has the potential to significantly affect political power and representation.

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A = 8W

---8 and W are multiplied together. To isolate W, we will need to divide by 8. But what we do to one side, we have to do to both.

A / 8 = W

W = A / 8

Hope this helps!

Answer: slope -1/4 y intercept -8

Step-by-step explanation:

In the form y = mx+b, m is the slope and b is the y-intercept. So let’s get it into this form, by getting y by itself.

4y = -x - 32

divide by 4 on every term

y = -1/4x - 8

therefore the slope is -1/4 and y intercept is -8

Answer:

\(f(x)=\frac{4x+3}{2x}\)

Step-by-step explanation:

We are given the following function: \(f(x)=\frac{8x^2+2x-3}{4x^2-2x}\), and we want to simplify it.

Starting with the numerator, we can factor 8x² + 2x - 3 to become (2x-1)(4x+3).

We can also pull out 2x from the denominator to get 2x(2x-1).

Now, our function will look like:

\(f(x)=\frac{(2x-1)(4x+3)}{2x(2x-1)}\)

We can cancel 2x-1 from both the numerator and denominator.

We are left with:

\(f(x)=\frac{4x+3}{2x}\)

Answer:

D

Step-by-step explanation:

If you multiply something that is a negative number by something that is positive, in this case, the power of 2, then the answer will still be negative. So -5 ^ 2 is negative 25. When you calculate the power of a negative number, then the result depends on the power of the number, so if it's a positive 2 then the answer will be positive.

Step-by-step explanation:

Ultimately we know:

Men = * 5

Women = * 2

Children =

We can already make the estimation that the amount of children will be below 50. So by trial and error you will get to your answer by substituting with 41.

Children - 41

Women - 41 x 2 = 82

Men - 41 x 5 = 205

205 + 41 + 82 = 328

So your answer is 41

Answer:

N = I ( 1 + 50% )^t

Step-by-step explanation:

Given that The population of Columbus in 2015 was 840,000 people. In 2018 (three years later), The population grew to 972,405 people.

Write an exponential equations that models this situation.

From the question, the following parameters are given :

Initial number of population = 840,000

The new number of population = 972,405

The number of years = 3

Let the initial population = I

The new population = N

And the number of years = t

Since the population is increasing, the exponential equation can be written as

N = I ( 1 + R% )^t

Where R% is the percentage increase.

Solve for R

972405 = 840,000 ( 1 + R% )^3

972405/840000 = ( 1 + R% )^3

1.157625 = ( 1 + R% )^3

( 1 + R% ) = 1.05

Make R% the subject of formula

R% = 1.05 - 1

R% = 0.5

R = 0.5 × 100

R = 50%

Therefore, the exponential equations that models this situation can be expressed as:

N = I ( 1 + 50% )^t

247 students are a good prediction of the number of students that chose volleyball as their favorite sport.

To predict the number of students that chose volleyball as their favorite sport, we can calculate 19% of the total number of students in the school.

Given that the school has 1,300 students and 19% of them chose volleyball, we can calculate the prediction as follows:

Prediction = 19% of 1,300

To find 19% of a number, we can multiply that number by 0.19.

Prediction = 1,300 * 0.19

Prediction = 247

Therefore, a good prediction for the number of students that chose volleyball as their favorite sport in the school would be approximately 247 students.

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Answer:

area: 576 cm ^2

perimeter: (48 + 24π) cm

Step-by-step explanation:

the semicircle taken out of the square (the white area) is equal to the semicircle added to the left of it. thus, we just have the area of a square. we know this because both have the same diameter and are semicircles. thus, our area is 24^2 = 576 cm ^2

for perimeter:

top: 24 cm

bottom: 24 cm

right: this is equal to half the circumference of a circle. this is because we know it's a semicircle taken out. circumference = πd = 24 * π. divide this by 2 to get 12π.

left: this is also equal to half the circumference of a circle = 12π

sum = 48cm + 24π