Mathematics High School

The population of a town is 18,922 people. Each year the population increases by 3%. What will the town's population be in 17 years? Round your answer to the nearest whole number.

a) 31,275
b) 2,412,376
c)11,274
d) 70,129

Answers

Answer 1
The answer is A I think as it was closet to the answer that I got
Answer 2
18922(1+0.03)^17=31,275

Related Questions

True or false.
1) Adjacent angles are supplementary?
2) Same-side interior angles are supplementary?
3) Vertical angles are congruent?

Answers

Supplementary angles are those that add up to 180 degrees, which means 1 is correct while 2 is false. 3 is true. Two vertical angles are same and therefore congruent.

Identify the maximum and minimum values of the function y = 10 cos x in the interval [-2π, 2π].

Answers

We know that the maximum and minimum values of the function y = cos x in the interval [-2π, 2π] are 1 and -1 respectively.
 
The graph of y = 8 cos x is vertical stretch by a factor of 8 units. Therefore the graph y=cos x, = the maximum and minimum values of the function y = cos x in the interval [-2π, 2π]. So they are 8 and -8 respectively.  

max = 8,  ∈[−2π,2π]
                                                    = Solution 
min = −8.  ∈[−2π,2π]

If the average cost of hotel stay per night is about $85 plus 18% of hotel tax, estimate the total stay. Round answer to the hundredths place

Answers

$100 what i dos was 85 + 18% =100.3

Simplify 5 log2 k – 8 log2 m + 10 log2 n
...?

Answers

The solution to the problem is as follows:

5log2(k) = log2(k^5) 
8log2(m)= log2(m^8) 
10log2(n)= log2(n^10) 
now to subtract logs, you divide the arguments, keeping the same vase. 
To add logs, multiply the arguments. 

So log2(k^5)- log2(m^8)+ log2(n^10)= log2[k^5* n^10)/m^8] 


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Answer:

your answer is log2 k to the fifth power n to the tenth power over m to the eighth power

Step-by-step explanation:


Gabriela works at a nearby electronics store. she makes a commission of 14% on everything she sells. if she sells a camera for $589 how much money does gabriel make in commission?

Answers

.14(589)=$82.46 Change 14% to a decimal then multiply by 589.

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot shadow. What is the approximate height of the building to the nearest foot?

Answers

the building is about 56 feet tall
For this problem, you could use the Scale Factor.
I will use x for the height of the building.

So 8 is to 90 as 5 is to x.

Our equation is:

8(SF) = 90

Divide both side by 8:

SF = 45/4

Then, we plug SF into the next equation:

5(SF) = x
5(45/4) = x
56.25 = x

Round to the nearest foot, and the height of the building is 56 feet.

one pipe fills a storage pool in 8 hours. A second pipe fills the same pool in 4 hours when a third pipe is added and all three are used to fill the pool,it takes only 2 hours. find how long it takes the third pipe to do the alone.

Answers

The answer is 8 hours.

over the course of a lifetime about how much more does a college graduate earn than someone who does not have a college degree

a. $450,000
b. $600,000
c. $750,000
d. $900,000

Answers

C or 750,000 because lol thats just what it is, you can look it up


A triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter is 19 inches.

What is the measure of x?
(A) 2
(B) 3
(C) 5
(D) 9 ...?

Answers

Answer:

9

Step-by-step explanation:

Final answer:

To find the value of x in a triangle where one side is x and the other two are each 4 inches less than x with a perimeter of 19 inches, set up an equation and solve it to find that x = 9 inches. The correct option is D.

Explanation:

The question involves finding the value of x when a triangle has one side that measures x, and the other two sides each measure 4 inches less than x. The perimeter of the triangle is given as 19 inches.

To solve this, we use the formula for the perimeter of a triangle, which is the sum of the lengths of its sides. Therefore, the equation can be set up as:

x + (x - 4) + (x - 4) = 19

Simplifying this equation:

Combine like terms: 3x - 8 = 19Add 8 to both sides: 3x = 27Divide both sides by 3: x = 9

Therefore, the measure of x is 9 inches which corresponds to option D.

This problem is a basic algebra problem that requires understanding of how to set up equations based on given conditions and solving them to find unknown variables.

Find sin x/2, cos x/2, and tan x/2, if cos x = -12/13, 180 degrees is less than x which is less than 270 degrees

Answers

cos x = -12/13
sin x = -sqrt(13^2 - 12^2) / 13 = -5/13
tan x = 5/12

tan x/2 = (1 - cos x) / sin x = 1 - (-12/13) / -5/13 = 25/13 * -13/5 = -5

2sin^2 x/2 = 1 - cos x = 1 - (-12/13) = 25/13
sin^2 x/2 = 25/13 / 2 = 25/26
sin x/2 = 5/√26

sin x/2 / cos x/2 = tan x/2
cos x/2 = sin x/2 / tan x/2 = 5/√26 / -5 = -1/√26

sin x/2 = 5/√26
cos x/2 = -1/√26
tan x/2 = -5

A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2 feet per second. (Do not use mixed numbers. Round your answers to three decimal places.)

(a) How fast is the top of the ladder moving down the wall when the base is given below?
15 feet away from the wall
_____ ft/sec

20 feet away from the wall
_____ ft/sec

24 feet away from the wall
_____ ft/sec

...?

Answers

last one. i can do the first part. put x = distance from top of ladder to the floor, y = distance from base of ladder to the wall (draw a picture) then pythagoras sez

x2+y2=25

calculus says

2xx′+2yy′=0

and you are told that

y′=2

so you know

2xx′+4y=0

or

x′=−2yx

Find a polynomial function with integer coefficients that has given zeros. (There are many correct answers)
0, 0, 4, 1+i

Answers

[tex]y=(x-0)(x-0)(x-4)(x-(1+i))
\\y=xx(x-4)(x-1-i)
\\y=x^2(x-4)(x-1-i)[/tex]

What is 24.051 rounded to the nearest hundredth? How did you solve it?

Answers

This is like late elementary/early middle school stuff where you learn this.
First off, what number is in the position of the hundereth place? 0? No. 1? No. 5 yes! Now how i learned how to round is you take  the number to the right of whatever you are being asked about and round it up or down. Now if the number (in this case it is 1) is lower than 5, you round down (or keep it the same) but if it is 5 or higher you round up. since 1 is lower then 5, that 5 in the hundereths place stays the same. 

how do you do factoring the gcf out of a binomial

Answers

in general: look for what the terms have in common. for example, take the binomial 2x² - 4x. you would be able to factor out a "2" because of the coefficients, and both terms have an "x" -- you can take that out too. that makes your GCF 2x. technically, what you're doing with factoring is dividing the terms by your GCF--2x² divided by 2x leaves you with x, and 4x divided by 2x leaves you with two. that's how you end up with (x - 2) in your binomial. your result looks like this: 2x(x - 2).

if you have any specific binomials you need help with, feel free to send me a message or comment on this and i'll see if i can help. if you're just asking in general, then just remember to look for what the terms have in common, then take it out. 

Find the percent of tip:
Cost of meal $18.50, Tip $2.59


13%

14%

15%

16%

Answers

The answer is 14%

Cost of meal is 100%:         $18.50 is 100%
Tip is x%:                             $2.59 is x

Make a proportion:
$18.50 : 100% = $2.59 : x
x = 100% * $2.59 : $18.50
x = 14%

what is 0.9 as a percentage

Answers

Answer is 90% of 1.
90÷100×1=0.9
Final answer:

0.9 as a percentage is 90 percent.

Explanation:

To convert a decimal to a percentage, you need to multiply the decimal by 100. In this case, 0.9 times 100 equals 90. Therefore, 0.9 as a percentage is 90 percent.

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The manufacturing cost of an air-condioning unit is $544, and the full-replacement extended warranty costs $113. If the manufacturer sells 506,970 units with extended warranties and must replace 20% of them as a result, how much will the replacement costs be? (Note: Assume manufacturing costs and replacement costs are the same.) a. $55,158,336 b. $11,457,522 c. $2,129,274 d. $66,717,252

Answers

Answer:

It's A

Step-by-step explanation:

This is what i got on edge 2020, hope this helps <3

Answer: A) $55,158,336

hope this helps <3

The box plots show student grades on the most recent exam compared to overall grades in the class.

Which of the following best describes the information about the medians?

A. The class and exam medians are almost the same.

B. The exam median is much higher than the class median.

C. The class and exam Qv3 are the same, but the exam has the lowest median.

D. The low outlier on exams pulls the median lower.

Answers

A median is a line that separates 2 halfs of data. Higher and lower. In this case median is represented by a line inside the box. Median doesnt have to be in exactly the midle of the box. That is very important to know.

We can see that in both boxes medians are practicaly the same. Which means that the correct answer is  A

Answer:

A. The class and exam medians are almost the same.

Line PQ is parallel to BC and splits AB into lengths of x + 8 and x. The other side, AC, is split into lengths of x + 13 and x + 1. What is the length of AC? Image Not to Scale.

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
If a straight line connecting two sides of a triangle is parallel to its third side then the straight line divides these sides proportionally.

If the lengths of the segments are listed in an corresponding order, then it implies that you have this proportion:

x + 8/x = x + 1/x +13

Contradiction. This equation has no solutions in real positive numbers. It means that the lengths are listed in the inverse order. Then the proportion is
x + 8/x = x +13/ x+1


Answer:

AC = 18.

Step-by-step explanation:

The problem is about proportions, because we have two parallels line being intercepted by two transversal. So, the proportion would be:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}[/tex]

Solving for [tex]x[/tex]:

[tex]\frac{x+8}{x}= \frac{x+13}{x+1}\\(x+1)(x+8)=x(x+13)\\x^{2} +8x+x+8=x^{2} +13x\\9x+8=13x\\8=13x-9x\\4x=8\\x=\frac{8}{4}=2[/tex]

Now, to find the length of AC, we just have to use the value found and replace it in the proper expression:

[tex]AC=x+13+x+1=2x+14=2(2)+14=4+14=18[/tex]

Therefore, the length of AC is 18.

Choose the correct simplification of (7x3 − 8x − 5) + (3x3 + 7x + 1).

10x3 − x − 4

10x3 + x + 4

4x3 − 15x − 6

4x3 + 15x + 6 ...?

Answers

10x3 − x − 4 is the correct answer to your question

the correct simplification of (7x^3 − 8x − 5) + (3x^3 + 7x + 1),

Is 10x^3 − x − 4

two ninths of the eighteen people in the bakery are eating cookies how many people are eating cookies

Answers

Let's start with a proportion. 2/9= x/18. Now cross multiply. 2 x 18= 36. Now divide 36 by 9 which is 4. So 4 people are eating cookies. You could of also done it this way where you know 9 is a factor of 18. You then multiply both the denominator and numerator by 2 to get 4/18. Your answer would still be 4 people

Final answer:

To find out how many people are eating cookies, you multiply the total number of people in the bakery, which is 18, by two-ninths. The result is four, meaning four people are eating cookies.

Explanation:

If two-ninths of the eighteen people in the bakery are eating cookies, we need to calculate 2/9 of 18 to find out how many people are eating cookies. This is a basic fraction multiplication problem.

To solve this, we multiply 18 (the total number of people) by the fraction 2/9:

18 × (2/9) = (18 × 2) / 9

18 × 2 = 36

36 / 9 = 4

Therefore, four people in the bakery are eating cookies.

Select all ratios equivalent to 21:14.
14:10, 8:4, 9:6, 12:21

Answers

the ratio 21:14 when divided by 7 on each side, is the smallest ratio that has the same value as 21:14. this becomes 3:2

then multiply both sides by a few different numbers on both sides each ,

for example, 3:2 is the same as
6:4 (3:2 times 2)
9:6 (3:2 times 3)
12:8 (3:2 times 4)
15:10 (3:2 times 5) and so on
the ratio of the right number I
divided by the left on all of them is 1.5

so,
14/10 equals 1.4 (nope)
8/4 equals 2 (nope)
9/6 equals 1.5 (yay)
12/21 equals 0.57 (Lol)

So your answer is 9:6

Mrs. Donley's math class has a total of 25 students. On Friday, the class was given an eight question quiz on fractions. The number of incorrect answers given by the students is shown below.

Incorrect Answers Number of Students
0 5
1 7
2 4
3 6
4 2
5 1

What is the relative frequency of students that missed 1 question on the quiz?

A. 0.28
B. 0.48
C. 0.35

Answers

You need to find the amount of students who missed one question, and divide that by the total number. If you sum all the students, you find that there are 25 students. From the chart, 7 missed 1 question, therefore the solution would be 7/25, which is 0.28, or A.

A. 0.28

Solve logarithm Equation: 3 log5 x-log5 4= log5 16 

Answers

Final answer:

To solve the logarithmic equation 3 log5 x - log5 4 = log5 16, we use logarithmic properties to combine terms and then solve for x, finding that x = 4.

Explanation:

To solve the logarithmic equation 3 log5 x - log5 4 = log5 16, we can use the properties of logarithms.

First, we rewrite the equation using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This gives us:

log5 x^3 - log5 4 = log5 16.

Next, we utilize the property that the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. So we can combine the left side of the equation into a single logarithm:

log5 (x^3 / 4) = log5 16.

Now, since the bases of the logarithms are the same, we can equate the arguments of the logarithms:

x^3 / 4 = 16

Solving for x, we multiply both sides by 4 and then take the cube root:

x^3 = 64

Therefore, x = 4, since 4 cubed equals 64.

The complete question is: Solve logarithm Equation: 3 log5 x-log5 4= log5 16 is:

Final answer:

To solve the logarithmic equation, apply the properties of logarithms to simplify and solve for x.

Explanation:

To solve the logarithmic equation, we can use the properties of logarithms. First, let's apply the property that states the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers. This gives us: 3 log5 x - log5 4 = log5 16. Next, we can apply the property that states the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. This gives us: log5 x3 - log5 4 = log5 16. We can simplify the equation by combining the logarithms and solving for x.

x3 / 4 = 16

x3 = 64

x = 4

(3x^2a - 4y^a z^3a) ^2 ...?

Answers

The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ


(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
                         = 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
                         = 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ

A bookstore charges a standard rate for paperback or hardback books. The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book. Write a system representing the situation. Use the graph test made the solution of the system. What does the solution mean to the situation? How much does each type of book cost? You substitution to verify your solution.

Answers

p = h - 11
53p + 45h = 784.10

just a matter of subbing and solving...
53(h - 11) + 45h = 784.10
53h - 583 + 45h = 784.10
98h = 784.10 + 583
98h = 1367.10
h = 1367.10/98
h = 13.95

p = h - 11
p = 13.95 - 11
p = 2.95

so paperbacks (p) are 2.95 a piece and hardbacks (h) are 13.95 a piece

The required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

Given that,
The cost of a paperback book is 11 dollars less than the cost of a hardback book. Recently one day of sales totaled $784.10. That day the bookstore sold 53 paperback books and 45 hardback book.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the price of paperback be x and price of hardback books be y,
According to the question,
x = y - 11 - - - (1)
53x + 45y = 784.10 - - - (2)
From equation 1
53 [y - 11] + 45y = 784.10
y = $13.95

Now,
y = 13.95 - 11
y = $2.95

Thus, the required price of the paperback book and hardback book is $2.95 and $13.95 respectively.

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Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with

Answers

This is pretty  simple actually.

If they want how many cards before he added those 8 new ones then most likely 72 but seeming he ate half of his card and 40 isnt half of 72 we take 8+72 which equals 80. Add 40+40 or do 80/2 it comes out to be 40. So 80 cards to begin with.

Jason started with 72 baseball trading cards. To find out how many baseball trading cards Jason started with, let's break down the information given step by step.

1. Jason bought 8 new baseball trading cards: This implies that Jason's collection increased by 8 cards.

Let's denote the number of cards Jason had before buying the new ones as X . After buying the new cards, Jason would have X + 8 cards.

2. The next day his dog ate half of his collection: If his dog ate half of his collection, this means that the number of cards left after the incident is half of what Jason had before. So, after the dog ate half of the collection, Jason would have [tex]\( \frac{1}{2} \times (X + 8) \)[/tex] cards remaining.

3. There are now only 40 cards left: This information tells us that the number of cards left after the incident is 40. So, we have the equation:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

Now, let's solve for  X:

[tex]\[ \frac{1}{2} \times (X + 8) = 40 \][/tex]

[tex]\[ X + 8 = 40 \times 2 \][/tex]

X + 8 = 80

X = 80 - 8

X = 72

So, Jason started with 72 baseball trading cards.

To verify, let's check the steps:

1. Jason initially had 72 cards.

2. He bought 8 new cards, totaling 72 + 8 = 80 cards.

3. After his dog ate half of his collection, he was left with [tex]\( \frac{1}{2} \times 80 = 40 \)[/tex] cards, which matches the given information.

Therefore, Jason started with 72 baseball trading cards.

The complete question is:

Jason bought 8 new baseball trading cards to add to his collection. the next day his dog ate half of his collection. there are now only 40 cards left. how many cards did jason start with?

In a circus a tightrope is stretched from the top of a 10 ft. pole to the top of a 25 ft pole. The poles are 36 feet apart and vertical. How long is the tightrope?
Show your work.

Answers

Okay. The whole thing looks like a right-angled triangle. In this situation we are finding out the hypotenuse, which is the longest side in a right-angled triangle and in this case it's the length of the tightrope.

To find the hypotenuse (the tightrope), we have to use 'pythagoras'. It's this rule which states that in any right-angled triangle, the hypotenuse squared is equal to the sum of the other two sides squared. >> h^2 = a^2 + b^2 (where h is the hypotenuse and a and b are the other two sides)

h^2 = (25 - 10)^2 + 36^2 ... pythag
h^2 = 15^2 + 36^2
h^2 = 225 + 1296 = 1521
h = √1521 = 39!

Final answer:

To find the length of the tightrope between two poles of different heights and a known distance apart in a circus using the Pythagorean theorem.

Explanation:

The length of the tightrope can be calculated using the Pythagorean theorem.

Given:

Height of the first pole = 10 ftHeight of the second pole = 25 ftDistance between the poles = 36 ft

Using the Pythagorean theorem:

Length of the tightrope = √(36^2 + (25-10)^2)

Length of the tightrope = √(1296 + 225)

Length of the tightrope = √1521

Length of the tightrope = 39 ft

Lily forgot the security code for her apartment building. the code is two different numbers followed by a letter. how many different possible codes are ther?

Answers

Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes

9x9x26=2106

15 points to help answer these two questions?

1) How can graphing methods be used to solge a system of linear equations and how can you determine the equations of the two lines by analyzing the graph?

2) Solve this system of equations and explain what method you used to find your solution.
8x-y=-9
4x-3y=-22

Answers

1. Graphing can be used to solve a system of equations because the solution to a system of equations is the point of intersection of the two lines.
If you have a graph with two lines and they intersect at one point, that one point is the solution. If you have a graph with two lines and the lines do not touch(parallel lines) there will be no point of intersection and therefore no solution. If you have a graph of two lines and the lines graph on top of each other this means that they have every single point in common and therefore infinitely many solutions.
2. The solution to the system is (-.25, 7)
I solved using elimination method.
8x - y = -9
4x - 3y = -22
Multipliy the second equation by -2 to clear the x's.

8x - y = -9
-8x + 6y = 44
5y = 35
y = 7
Now plug y back into either of the original equations and solve for x.
8x - 7 = -9
8x = -2
x = - 1/4 or -.25
(-.25,7)
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