Harry started a school in the year 2000. The number of students was 500 in the beginning and is increasing at a rate of 13% each year. Use a graph to predict the number of students in the year 2020.

Answers

Answer 1

Answer:

The predicted number of students in the year 2020 is 5762.

Step-by-step explanation:

Given,

The initial number of students, P = 500 ( In year 2000),

Also, it is increasing at a rate of 13% each year.

So, the rate of increasing = 13 % = 0.13,

Thus, the number of students after x years since 2000,

[tex]A=P(1+r)^x[/tex]

[tex]=500(1+0.13)^x[/tex]

[tex]=500(1.13)^x[/tex]

Which is an exponential growth function,

Having y-intercept = (0,500),

And, horizontal asymptote x-axis,

By making the graph of the above function we observed that,

It is passes from the point (20, 5761.544 )

Hence, the predicted number of students in the year 2020 is 5762. ( number can not be in decimals )

Harry Started A School In The Year 2000. The Number Of Students Was 500 In The Beginning And Is Increasing

Related Questions

A laboratory technician needs to make a 108​-liter batch of a 20​% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10​% to get the desired​ concentration?

Answers

12 liters of pure acid and 96 liters of 10% acid solution Using mass and component balance: Let x = liters of pure acid and y = liters of 10% acid Mass balance: x + y = 108 Component balance: 100%*x + 10%*y = 20%*108 or x + 0.1y = 21.6 Solving for x and y: x = 12 and y = 96

Translate this sentence into an equation. The difference of Rhonda's height and 16 is 52. Use the variable to represent Rhonda's height.

Answers

Attached a solution and showed work.
Final answer:

The sentence 'The difference of Rhonda's height and 16 is 52' translates into the equation 'h - 16 = 52'. Here, 'h' represents Rhonda's height.

Explanation:

The subject matter of this question falls under Mathematics. Specifically, it deals with basic algebra where you have to translate word problems to an algebraic equation. Remember that the phrase 'the difference of' in math refers to the operation of subtraction. So, when you read 'the difference of Rhonda's height and 16 is 52,' that means Rhonda's height (which we’ll denote as 'h') minus 16 equals 52 (52 comes from the phrase 'is 52' because 'is' usually represents equal '='). Therefore, when this sentence is written in the form of an equation, it will look like: h - 16 = 52.

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The total cost of four pens and seven mechanical pencils is $13.25. The cost of each pencil is 75 cents.
a. Using an arithmetic approach, find the cost of a pen.
b. Let the cost of a pen be dollars. Write an expression for the total cost of four pens and seven mechanical pencils in terms of .
c. Write an equation that could be used to find the cost of a pen.
d. Determine a value for for which the equation you wrote in part (b) is true.

Answers

Answer:

Step-by-step explanation:

4x+7(0.75)=13.25

4x+5.25=13.25

4x=13.25-5.25

4x=8

X=$2 each

The greatest common factor of 18 and a and 20 AB

Answers

Answer:

1

Step-by-step explanation:

GCF(18, a, 20ab) = 1

18 and a do not necessarily have any factor in common, so their GCF is 1. Adding more terms to the list will not increase the GCF beyond that value.

A fence around a square garden is made up of 4 equal sized pieces that are each 5 1/2 feet long. Matt decided to make the sides 2 1/2 times longer. How much fencing does he need in all?

Answers

Find the perimeter of the original square: P = 4s = 4 * 5.5 ft = 22 ft
Now multiply by 2.5 * 22 ft * 22 = 55 ft
He needs 55 ft of fencing

The model was shaded two different ways to show a product. Which product is shown by the model?

Answers

the answers would be C

Answer:

3/4.

Step-by-step explanation:

4/8 simplified=1/2 6/8 simplified=3/4.

A ski club charges a $48 membership fee, plus $18 to rent ski equipment per day. Which of the following equations can be used to find the total cost of membership at the club, when renting equipment for x days?

Answers

By hypothesis, a ski club charges $48 membership fee plus $18 per day to rent ski equipment. X represents the number of day.

So if someone wants to rent ski equipment for x days, the charges will be 18x dollars. In addition to that, he needs to pay 48 dollars as membership fee. So in total, he needs to pay 48 + 18x.

So the equation y = 48 + 18x represents the total cost of membership at the club when renting equipment for x days.

Hope this helps! :)

The equation for the given situation is y=48+18x.

Given that, a ski club charges a $48 membership fee, plus $18 to rent ski equipment per day.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, equipment is renting for x days.

Let the total cost of membership at the club be y.

Now, y=48+18x

Therefore, the equation for the given situation is y=48+18x.

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Hayden is 59 inches tall and is standing on top of a ladder that is 2 yards tall. In inches, what is the distance from the top of Hayden's head to the ground?

Answers

131 inches in all i just made sure
One yard is 36 inches, so 36*2=72 and add that to Hayden's height, 72+59=131 inches.

Your answer is 131 inches

Six is less than or equal to the sum of a number n and 15

Answers

9it is 9 because you are asking what plus what will give you 15
And plus you give us an uber to go with 15 and you said 6 so 9+6=15

the solution is[tex]\( n \geq -9 \).[/tex]

Sure, let's break down the problem step by step.

1. The inequality given is[tex]\( 6 \leq n + 15 \).[/tex]

2. To find the value of ( n ), we'll start by isolating ( n ) on one side of the inequality.

[tex]6 &\leq n + 15 \\6 - 15 &\leq n \\-9 &\leq n[/tex]

So, the solution is[tex]\( n \geq -9 \).[/tex]

Now, let's explain the steps and the final answer in more detail.

The inequality[tex]\( 6 \leq n + 15 \)[/tex] states that "six is less than or equal to the sum of a number ( n ) and fifteen."

To solve for ( n ), we first subtract 15 from both sides of the inequality to isolate ( n ):

[tex]\[ 6 - 15 \leq n \][/tex]

This simplifies to:

[tex]\[ -9 \leq n \][/tex]

So, the solution to the inequality is[tex]\( n \geq -9 \),[/tex] which means that any number greater than or equal to -9 will satisfy the original inequality [tex]\( 6 \leq n + 15 \).[/tex]

In conclusion, the correct answer is[tex]\( n \geq -9 \)[/tex], and this means that any number greater than or equal to -9 makes the statement "six is less than or equal to the sum of that number and fifteen" true.

complete question

Six is less than or equal to the sum of a number n and 15

John made of a pound of fudge and Mary made of a pound of fudge. Ricky takes the sum of the two amounts of fudge and divides it into three equal portions, planning to keep one portion for himself. How much fudge does Ricky keep?

Answers

2 pounds divided into 3 would be 0.6 repeating (0.6666666666666666667)

What is fifteen out of eighteen in simplest form

Answers

15/18.. both are divisible by 3 so therefore you can reduce the fraction to 5/6
15/18 = 5/6

15/3 = 5
18/3 = 6

5/6 is your answer

hope this helps

y and x have a proportional relationship, and y = 15 when x = 3. What is the value of x when y = 4?

Answers

I think it would be 20!!
Hope it helps!

Answer: 0.12

Step-by-step explanation:

this number is 0.02 more than five and five tenths

Answers

not true because .02=2/100 and 5 5/10=55/10 which is bigger than .02.
5 5/10 > 0.02

Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?

Answers

It might be helpful to remember that the definitions of R2 and R3 are not geometric at all. R2 is the set of all ordered pairs of real numbers, whereas R3 is the set of all ordered triples of real numbers. W is a subspace fo R3, and so it still consists of elements which are triples, not pairs. The fact that R2 and W can be visualized with the same geometric picture, namely the xy plane, is one way to see in a concrete way the isomorphism which the second poster refered to.

i have a 5 in my ones place the digit in my tens place is 3 plus the digit in my ones place the digit in hundreds place is 2 less than the digit in my ones place what number am i

Answers

385. The 5 is in the ones place. To get the number for the tens place, add together 3+5=8 (5 is the number that is in the ones place). To get the number for the hundreds place, (5) is in the ones place so you would subtract 2 from 5 which is 3. The answer is 385.

387,422 rounded to the nearest hundred thousand

Answers

387,422 rounded to the nearest hundred thousand is 400,000

hope this helps

Which equation has solution x = -3?

A) 2x - 7 = -1
B) 3x + 8 = 1
C) 1/2x + 8 = 10
D) 1/2 (2x - 6) = -6

Answers

A) 2x - 7 = -1

Add 7 to both sides of the equation.

2x = 6

x = 3

Choice A is not the answer.


B) 3x + 8 = 1

Subtract 8 from both sides.

3x = -7

Divide both sides by 3.

x = -2.3 repeating

Choice B is not the answer.

C) 1/2x + 8 = 10

1/2x = 2

Divide both sides by 1/2.

x = 4

Choice C is not the answer.

By process of elimination, choice D is the answer.

D) 1/2(2x - 6) = -6

x - 3 = -6

Add 3 to both sides.

x = -3

Let f(x)= x+3 and g(x)= 4x-3. Find (f+g)(3).

Answers

(f + g)(3) = f(3) + g(3).

Find f(3).

f(3) = x + 3

f(3) = 3 + 3

f(3) = 6

Now find g(3).

g(3) = 4x - 3

g(3) = 4(3) - 3

g(3) = 12 - 3

g(3) = 9

We finally add f(3) + g(3).

f(3) + g(3) = 6 + 9

f(3) + g(3) = 15

The answer is 15.

(-5)(2)-2(-3)+3
Expression
Perform Multiplication
Simplify

Answers

(-10) + 6 + 3
-4 + 3
-1

What are other names for a trapezoid

Answers

In the UK we call it a trapezium.

It is also a quadrilateral.

Final answer:

The term 'trapezoid' refers to a four-sided figure with at least one pair of parallel sides in American English, while 'trapezium' is the equivalent term in British English.

Explanation:

Other names for a trapezoid include trapezium in British English. The term trapezoid is commonly used in American English to describe a four-sided figure with at least one pair of parallel sides. In contrast, British English refers to the same shape as a trapezium. It is important not to confuse these terms with trapezius, which is a muscle in the human body, or other unrelated terms such as triad or tricarboxylic acid cycle (TCA).

Anna wants to make 4 sets of curtains. Each setbrequires 5 1/8 yards of fabric. How much fabric does she need?

Answers

5 1/8 × 4 = 20 1/2 yards of fabric

Evaluate a/b for a = 1/2 and b = -3/7
Answers:
3/14
-32/21
-3/14
-7/6

Answers

1/2 ÷ -3/7 = -7/6 The answer is -7/6

How many ternary (0, 1, 2) sequences of length 10 are there without any pair of consecutive digits the same?

Answers

There are 10 spaces then the first space will be (3,1), the second one cannot be the same as the first one so it will have to be (2,1).

So it will come down to 3×2^9

Final answer:

There are 1536 ternary sequences of length 10 with no pair of consecutive digits the same.

Explanation:

The question is asking about how many ternary sequences of length 10 there can be without any pair of consecutive digits being the same. In a sequence of length 10, each digit has 3 possible values (0, 1, 2) but cannot be the same as the digit before it. Therefore, the first digit has 3 choices, and each subsequent digit has 2 choices (since it can't be the same as the previous one). Using the multiplication principle of counting, there would be 3*2^9 = 1536 such sequences.

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How do you solve 792 divided by 22

Answers

792/22=36

You can represent this as a subtraction problem as well.

792-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22-22=36

Addition: 792=22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22+22

Multiplication:
792=22*36

What integer represents the change in balance from Monday to Tuesday?

Answers

-34 is integer represents the change in balance from Monday to Tuesday

The integer represents the change in balance from Monday to Tuesday is -34

What is integer?

Zero, a positive natural number, or a negative integer are all considered integers. The equivalent positive numbers' additive inverses are represented by the negative numbers. The boldface Z or blackboard bold is frequently used to represent the set of all numbers.

Based on the question, there is a change in balance from Monday to Tuesday , then

monday=-21

Tuesday = -55

The change =-55 - (-12)

=-55+12

=-34

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A rectangle has a base of 2 yd and a height of 5 ft. Find the area of the rectangle. 30 yd2 30 ft2 10 yd2 10 ft2

Answers

Answer: [tex]30\ ft^2[/tex]

Step-by-step explanation:

We are given that

The base of the rectangle = 2 yards

The height of the rectangle = 5 feet

We know that

1 yard = 3 feet

Then , the base of the rectangle = [tex]2 \times3=6\text{ feet}[/tex]

Now, the are of the rectangle will be :-

[tex]\text{Area}=\text{Height x Base}\\\\\Rightarrow\ \text{Area}=5\times6\text{ square feet}\\\\\text{Area}= 30\text{ square feet}[/tex]

Hence, the area of the rectangle = [tex]30\ ft^2[/tex]

Answer:

i think is 30ft2

Step-by-step explanation:

Given the triangle below which of the follwing is a correct statement?

Answers

Let Opp Adj, and Hypp respectively represent the opposite side, the adjacent side, and the hypotenuse.

Consider an angle M with measure m degrees. The trigonometric ratios sec, and csc are defined as follows:

sec(m)=Hyp/Adj,     and csc(m)=Hyp/Opp


Thus we can check that 

[tex]\displaystyle{csc(\angle C)= \frac{6}{4}= \frac{3}{2} [/tex]

[tex]\displaystyle{sec(\angle C)= \frac{6}{5} [/tex]

[tex]\displaystyle{csc(\angle B)= \frac{6}{5}= \frac{3}{2} [/tex]

[tex]\displaystyle{sec(\angle C)= \frac{6}{4}=\frac{3}{2} [/tex]


Answer: A

Carlie works at a bakery making bagels and donuts. the oven timer for the donuts buzzes every 30 minutes, and the timer for the bagels buzzes every 40 minutes. if she started both timers at 8:00
a.m., when will the timers buzz at the same time?

Answers

This will be the Lowest common multiple of 30 and 40  

which is 120 minutes  so the time when they will buzz together is 8:00 + 120/60  = 10.00 am
Final answer:

The donut and bagel timers at Carlie's bakery will buzz together every 2 hours, so they will buzz at the same time for the first time at 10:00 a.m.

Explanation:

This question is about finding the Least Common Multiple (LCM) of the two numbers - 30 minutes (the time the donut timer buzzes) and 40 minutes (the time the bagel timer buzzes). The LCM of 30 and 40 is 120 minutes. This means that the timers for the bagels and the donuts will buzz at the same time every 120 minutes, or 2 hours. Since Carlie starts both timers at 8:00 a.m., the timers will buzz together for the first time at 10:00 a.m.

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29,141 write in expanded form

Answers

twenty-nine thousand, one hundred and forty-one

A box contains 4 bags of sugar,The total mass of all 4 bags is 6 kg. What is the mass of each bag in grams?

Answers

4 bags of sugar have 6kg or 6000 grams.

how many in each box?

well, there are 4 boxes, how many times does 4 go into 6000?  1500.

that many grams in 1 box then.

Answer:

1500 g.

Step-by-step explanation:

So i'll start by converting 6 kg to grams. Which is 6000 g.

There are four bags so i will do 6000 divided by 4 which equals 1500.

So the answer is 1500. each bag weighs 1500 g.

Your welcome hope this was helpful!

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