The population of a town is 15,000. It decreases at a rate of 8% per year. In about how many years
will the population be fewer than 10,000?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

If a population is decreasing by 8% we can multiply the population by 92% (1-.08)

which means we have the following equation

population=15000(.92)ⁿ

where n is the number of years

we want to know when the population will be 10,000 so we write

10,000=15,000(.92)ⁿ

.66667=.92ⁿ

a rule we have is

[tex]n=y^x\\log_yn=x[/tex]

which means that

[tex].66667=.92^n\\=log_{.92}.66667[/tex]

compute this and get

4.867

round this up to 5


Related Questions

line l passes through the point (-2,3) and has a slope of 1/2 what is question of line l​

Answers

Answer:

Answer is D

Step-by-step explanation:

3 = 1/2 (-2) + 4

Equation is: y value = slope (1/2) * x value + y intercept (4)

the nth term of a sequence is given by 3n-16 what is the value of the 9th term​

Answers

Answer:

11

Step-by-step explanation:

9 times 3 minus 16 gives you 11

Answer:

өзің жаз түсіңдіңба өшір бренлиді ok

The opposite of a number is negative decide whether the statement is true or false if it is false give a counterexample

A) True
B) False; counterexample: 6
C) False; counterexample: -5
D) False; counterexample: 1/2
E) False; counterexample: 1/8

Answers

The correct option regarding whether the opposite of a number is a negative number is given as follows:

C) False; counterexample: -5.

How to obtain the opposite of a number?

To opposite of a number is also called it's additive inverse, that is, the absolute number is kept while the signal is exchanged, from positive to negative and from negative to positive. Hence:

The opposite of the number -5 is of -(-5) = 5.The opposite of the number 5 is of -5.

Thus, the opposite of a number is not always a negative, it is only negative if the number is positive, for example.

The opposite of 6 is of -6.The opposite of 1/2 is of -1/2.The opposite of 1/8 is of -1/8.

None of these are counterexamples, as they have negative opposites, hence the correct option is given by:

C) False; counterexample: -5.

More can be learned about the opposite of a number at https://brainly.com/question/10488315

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A circle has a diameter of 6.7 feet. Which measurement is closest to the circumference of the circle in feet? *

Answers

Answer: 21.038 ft

Step-by-step explanation:

6.7x3.14=21.038

4) Evaluate 7w - 14; W = 9

Answers

Answer:

7w-14

7(9)-14

63-14

49

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

since the value of W is given, 9, we have to plug it into the expression to simplify it further.

9 x 7 = 63

63 - 14 = 59

49

For what value of c is the relation a function? {(2.8). (12.3).(c.4), (-1.8). (0.3}}
A) -1
B) 1
C) 2
D) 12​

Answers

Answer:  B) 1

=======================================================

Explanation:

I'm assuming you were given the list of points to be

{(2,8). (12,3).(c,4), (-1,8). (0,3}}

the x coordinates of each point are: 2, 12, c, -1 and 0

If c is equal to any of the other x coordinates (2, 12, -1, or 0), then this will mean we have a repeated x coordinate. In turn, this leads to us not having a function.

---------

Consider the case that c = 2.

This means that (2,8) and (2,4) are two points in this relation. The input x = 2 leads to multiple outputs y = 8 and y = 4 at the same time. A function is not possible here. A function is only possible if we have any given input lead to exactly one output only. So this is why c = 2 is not possible if we want a function. The same goes for the other x coordinates mentioned.

All of this means we can rule out choices A, C, and D

Choice B means that c = 1 and this x coordinate hasn't been mentioned yet. So this could be a value of c that leads to a function. This is why choice B is the final answer.

Which line from the passage best represents an external conflict?

Answers

Answer:

c

Step-by-step explanation:

just took the test

What is the slope of line?

Answers

the slope can be found by using “rise over run” the line goes up 7 and over 5 so the slope is 7/5

answer: B. 7/5

Find the value of each variable.

Answers

Answer:

the last option

Step-by-step explanation:

[tex]x = y \\ {(10 \sqrt{2}) }^{2} = 2 {x}^{2} \\ 200 = 2 {x}^{2} \\ {x}^{2} = 100 \\ x = 10 \\ y = 10[/tex]

Solve the folowing problem. Then state if there is one solution, no solutions, or infinite solutions.

n+3+4n=2n+15

Answers

N=4 and there is only one solution

Which inequality is represented by this graph?

A number line going from 1 to 9. A closed circle is at 4. Everything to circle shaded.
x greater-than 3
x greater-than-or-equal-to 3
x greater-than 4
x greater-than-or-equal-to 4

Answers

Answer:

Greater than 3

(This part I have scribbled so I can answer )

he Sunday xwnjwnxjwnhxenjxsnhxbshdbchhxe

Emelia earns $8.00 per hour plus a gas allowance of $3.50 per day at her job. How much does Emilia's job pay in a day when she works 5 hours? Write an expression and evaluation for 5 hours.

Answers

Answer: Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

Step-by-step explanation:

Given: Hourly earning = $8.00

gas allowance per day =  $3.50

Pay per day = (Hourly earning ) x (Number of hours ) + (gas allowance per day)

Let h = number of hours

Pay per day = 8h +3.50

If Emily worked for 5 hours, then put h= 5, we get

Pay per day = 8(5) +3.50

= $ 40 +3.50

= $ 43.5

Required expression = 8h +3.50

Emilia's job pay  $ 43.5 in a day when she works 5 hours.

A line that includes the point (9,-5) has a slope of 0. What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

The answer is

[tex]y = - 5[/tex]

Step-by-step explanation:

[tex]m = 0 \\ y = mx + c \\ y = c \\ y = - 5[/tex]

Which is equivalent to 3square root of 8^x?

A. x Square root of 8^3
B. 8 3/x
C. 8 x/3
D. 8^3x

Answers

Answer:

B

Step-by-step explanation:

took test

HELP ME PLZ WITH THIS I WILL GIVE BRAILYIST THINGY PLZZZZZ HURRY.

Answers

2 and 2/5 are to be written as 12/5. Then Helena is correct.

What is a fraction number?

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

George drew the diagram given below to represent 2 and 2/5.

Helena says this is the same as 12/5.

2 and 2/5 can be written as 12/5.

Then Helena is correct.

More about the fraction number link is given below.

https://brainly.com/question/78672

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Help with all three IM CONFUSED

Answers

Answer:

How does y vary with x?

This is called direct variation and to find proportionality, we use the formula y/x = K

Step-by-step explanation:

The first table's results would look like:

6:15

12:30

18:45

24:60

30:75

To do these, you divide the y values by the constant to receive x.

If you need more help, you message me :) Good luck with your work!

Answer: k=x/y

Step-by-step explanation: Voila

the speed of sound is 1236km/h. how many kilometers per minute is it​

Answers

20.6 kilometers, i think.
1236/60=20.6km per minute

Michelle is planning an anniversary party at a restaurant . There is a fee to use the banquet room , plus the cost of dinner each The table below lists the total cost based on the number of guests ,


A. The cost of dinner is $25 per person. B. The fee to use the room is $25. C. The fee to use the room is $16. D. The cost of dinner is $16 per person .

Answers

Answer:c

Step-by-step explanation: The party will be grand

The fee to use the room is $25. And the cost of dinner is $16 per person. Then the correct options are B and D.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

Michelle is arranging a commemoration party at a café. There is an expense to utilize the meal room, in addition to the expense of supper each.

Let y be the total cost and x be the number of people.

From the table, the two points are (25, 425) and (30, 505). Then the equation is given as,

(y - 425) = [(505 - 425) / (30 - 25)](x - 25)

y - 425 = 16(x - 25)

y = 16x + 25

The fee to use the room is $25. And the cost of dinner is $16 per person. Then the correct options are B and D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

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which of these choices show a pair of equivalent expressions? CHECK ALL THAT APPLY

Answers

Answer:

Option C & D

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's an expression [tex]x^{\frac{a}{b} }[/tex] .

It can be also written it as → [tex](\sqrt[b]{x} )^{a}[/tex] and vice-versa.

__________________________________________________________

Lets come to the question.

In option A , [tex]7^{\frac{5}{7} }[/tex] can be also written as [tex](\sqrt[7]{7} )^{5}[/tex] . But it doesn't match with the other expression given. Hence they are not equivalent expressions.In option B , [tex]6^{\frac{2}{7} }[/tex] can be also written as [tex](\sqrt[7]{6} )^{2}[/tex] . But it doesn't match with the other expression given. Hence they are not equivalent expressions.In option C , [tex]5^{\frac{3}{2} }[/tex] can be also written as [tex](\sqrt{5} )^{3}[/tex]. Hence they are equivalent expressions.In option D , [tex](\sqrt[4]{81} )^{5}[/tex] can be also written as [tex]81^{\frac{5}{4} }[/tex] . Hence they are equivalent expressions

Thus , Option C & D are correct.

HELP FAST PLZZZZZZZZZZ

Answers

Answer:

Try 150

Step-by-step explanation:

I'm not sure but it might work.

Answer:

150

Step-by-step explanation:

180-30 = 150 degrees

find the value of f ​

Answers

Step-by-step explanation:

the steps are done in the picture .

hope it helps

i has pea brain help

Answers

Answer:

i think its the first and or third one if its 2 options its the first and third are ur to go and if its just one its the third

Step-by-step explanation:

its the first and third

Which of the following is the measure of ZRCP?
P
11
D
11
33
R
A. 90°
B. 1000
C. 339
D.66

Answers

Answer:

The answer is 66°

Step-by-step explanation:

In the triangle pcd

[tex] \sin(pcd) = \frac{11}{cd} [/tex]

In the triangle dcr

[tex] \sin(dcr) = \frac{11}{cd} [/tex]

Then

[tex] \sin(pcd) = \sin(dcr) \\ m < pcd = m < dcr = 33 \\ then \: \\ m < [/tex]

m<pcr = 66°

Is 5 - 2x in standard form?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes of course

Step-by-step explanation:

because 2x is a variable and it can't be added further

please mark me as brainlist

Select ALL answers
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unite rate at which Martin paints in walls per gallon?

A. 1 3/32 walls per gallon
B. 32/25 walls per gallon
C. 1 7/25 walls per gallon
D. 1/2 walls per gallon

Answers

Answer:

Answer: B and C

Step-by-step explanation:

Answer:

32/35

Step-by-step explanation:

hi please help i’ll give brainliest if you give a correct answer (please show your long division on paper please :()

Answers

Answer:

Attached below

Step-by-step explanation:

sorry couldnt d it on paper ;)

please help and please explain ill mark brainless, thank you:)​

Answers

Answer:

Its A...

Step-by-step explanation:

11/25 = 11 ÷ 25

11 ÷ 25 = 0.44

A: 0.44

It’s your first option......which is 0.44

Rene is three times as old as his sister Rosy. In 5 years, he will be twice as old as his sister Rosy. What is Rene’s present age?

Answers

Therefore, Rene's age is 15

MATH HELP!! ASAP!!! PLZ

Answers

Answer:

15ml/5ml=3

the answer is 3teaspoons

Answer:

15 mL = 3 tsp

Step-by-step explanation:

15/5 = 3

The church’s goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?

Answers

Answer:

19440

Step-by-step explanation:

18000 x 0.08 = 1440

1440 + 18000 = 19440

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