The population of a town is 75 000 and decreases 15% each year. Complete the exponential function that models the population afterx years
f(x) = 75,000

Answers

Answer 1

Answer:

Step-by-step explanation:

This is an exponential function of the form:

[tex]y=a(1-r)^x[/tex] where a is the initial value and (1 - r) is the growth rate (which in our case is a decay, actually!). Our initial value is 75000 and our rate of change in the population is 15% or .15. Filling in our model:

[tex]y=75000(1-.15)^x[/tex] and simplifying:

[tex]y=75000(.85)^x[/tex] This turns out to be a decay problem because the value inside the parenthesis is less than 100%.

x is our time, so the model is as stated above.


Related Questions

If <5 and <6 are complementary angles, and m<6=6", find m<5.

Answers

Answer:

∠ 5 = 84°

Step-by-step explanation:

Complementary angles sum to 90° , then

∠ 5 + ∠ 6 = 90° , that is

∠ 5 + 6° = 90° ( subtract 6° from both sides )

∠ 5 = 84°

If Olivia has 68,79, and 74 for his 3 tests, what must he get on his 4th test in order to have an 80 average?

Answers

The other person did not explain so I will:
(68+79+74)= 221/3 =73.7
80 x 4 = 320
320-221 = 99
He must get 99 on his 4th test.
Thanks

The points (6, 9) and (5, 8) fall on a particular line. What is its equation in slope-intercept form?

Answers

Answer:

y=x+3

Step-by-step explanation:

Start with the slope equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Since the first point is actually further along the x-axis that x-value becomes [tex]x_{2}[/tex] and its corresponding y-value is [tex]y_{2}[/tex]

[tex]\frac{9-8}{6-5}[/tex]=[tex]\frac{1}{1}[/tex]

The slope for the equation is just one so now find the y-intercept by rearranging the slope-intercept equation.

y=mx+b

y-mx=b

Now Substitute either point in to find b

9-1(6)=b

9-6=b

b=3

Your y-intercept is 3 so now we can write the slope-intercept equation for the two points:

y=x+3

Look at this graph:
АУ
100
90
80
70
60
50
40
30
20
10
0
10 20 30
40 50 60
70
80 90 100
What is the slope?

Answers

Answer:

The slope is 4 or 4/1.

Step-by-step explanation:

Since these are all in numbers evenly divisible by 10, we can go ahead and make this easier by dividing everything by 10. When we do this, we can see a point crossing an intersection at (3,1), or if you left it, (30, 10). Next, we can see another point crossing another intersection at (4,5) or (40, 50). Since we have two points that are easy for us to subtract, we can use the slope formula. The formula is as follows: y2-y1 / x2-x1. We can pick which of these we want to be 1 or 2, but whichever one we pick has to be 1 or two on both the top on the bottom. for example, I did (50-10) / (40-30). That gets us 40/10. If you divided by ten in the first place, you would get 4/1. From there, if you have the bigger answer, you need to simplify to simply 4. The shorter answer doesn't need to be simplified because we already simplified. I hope this helps!

Find the sum.

8 + (-5)

Answers

Answer: 3

Step-by-step explanation: 8 + (-5) is the same as saying 8 - 5 and 8-5 = 3

8 + (-5)

A negative and a positive make a negative therefore 8 + (-5) changes to

8 - 5

8 - 5 = 3

Answer: 3

Find the surface area of the cylinder. Please help

the length is 12in

the diameter is 5in

Answers

227.77in²

Hope this helped you- have a good day bro cya)

simplify 5 to the power of three over 5 to the power of seven

Answers

Answer:

1/625, or 0.0016 is the answer.

Kate's Pattern
Andy's Pattern
Kate and Andy made the following
patterns.
X
у
Х
у
1
2
1
4
Which statement is true?
2
4
2
8
3
6
3
12
4
8
4
16
) Kate's y-values increase at 3 times the rate of Andy's y-values.
® Kate's y-values increase at 2 times the rate of Andy's y-values.
© Andy's y-values increase at 2 times the rate of date's y-values.
D Andy's y-values increase at 3 times the rate of Kate's y-values.

Answers

Answer:

Answer is C

Andy's Y value increases 2 times more

Answer:

B)

Step-by-step explanation:

If you look at Kate's y column, you will see that her pattern goes by 2,4,6 and 8.

It increases by 2.

At the same rate, Andy's increases by 4.

Therefore, B would be the correct answer.

help with this question please

Answers

Answer:

-32

Step-by-step explanation:

if we multiply - 2 and -6 it becomes positive so it will be 12.

-2 multiply 22 will be -44

12 - 44 is -32.

answer : -32

you distribute so you do -2 times -6 which is 12. then -2 times 22 which is -44.

you end up with 12 - 44, which equals -32.

I need help I don’t get it

Answers

The equation would be Y=-3X+5

This is because there is a y-intercept(meaning Y value at X=0) of 5 and a slope(meaning the amount the y value changes by every time the x value increases by one) of -3.

Tina babysits children in her neighborhood. When Tina is asked her rate, she tells her neighbors that she charges $15 for the first hour and $8 for each hour after. If Tina's neighbor asks Tina to babysits for 4 hours, how much will Tina earn? Write an equation to model and solve the problem. Write the answer as an ordered pair and explain the meaning of the ordered pair.

Answers

The amount charged is an illustration of a linear equation.

Tina charges $39 for 4 hours

The given parameters are:

[tex]Base = 15[/tex] --- amount charged for the first hour

[tex]Rate = 8[/tex] --- amount charged for the extra hours

If Tina babysits for 4 hours, it means that:

She will charge $15 for the first hour$8 for the extra 3 hours

So, the total charges is:

[tex]Total = 15 + 3 \times 8[/tex]

[tex]Total = 15 + 24[/tex]

[tex]Total = 39[/tex]

The ordered pair is (4,39)

It means that:

She charges $39 for 4 hours

Read more about linear functions at:

https://brainly.com/question/20286983

A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?

Answers

Answer:

11820

Step-by-step explanation:

https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf

f(x) =3x/x+2
Evaluate.
F(v) = ?
Explain..

I will give Brainliest!

Answers

Answer:

5

Step-by-step explanation:

f(v) means your x value is v so substitute X=v in f(x)

[tex]f(v) = 3 \frac{v}{v} + 2 \\ 3 + 2 \\ 5[/tex]

5/11 as a ratio 4 decimal places

Answers

Step One: Rewrite the ratio as a fraction
5 : 8=
5/8

Step Two: Divide the numerator by the denominator
5/8

=5÷8
5÷8=0.625

Help me! It’s a short answer question!
12. Find the values of x, y, and z. The diagram is not to scale. (3 points)
360
130
630

Answers

Answer:

x = 81 degrees

<z = 99 degrees

<y = 68 degrees

Step-by-step explanation:

<x = 180 - 36 - 63 = 81 degrees

<x + <z = 180 degrees

81 + <z = 180

<z = 180 - 81

<z = 99 degrees

<y = 180 - 99 - 13

<y = 68 degrees

he recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people?

A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.

Answers

Answer:

24 times 9.75 = $234

Step-by-step explanation:

Answer:

It would cost $39 to serve 24 people

Step-by-step explanation:

If the recipe makes enough stew for 6 people, and the ingredients cost $9.75, then for 24 people it will cost $x. You can write this statement as

6 people - $9.75,

24 people - $x.

Or as proportion,

6/24=9.75/x

Find x:

6·× =9.75·24,

x=9.75·24/6=9.75·4=39

Answer: It would cost $39 to serve 24 people

Which explains the number of decimal places in the product 0 . 42 × 3 . 8 × 10 . 51 ? A. The greatest number of decimal places in any of the factors is 1. So, the product will have 1 decimal place. B. The greatest number of decimal places in any of the factors is 2. So, the product will have 2 decimal places. C. There are a total of 4 decimal places in the factors. So, the product will have 4 decimal places. D. There are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.

Answers

Answer:

D

Step-by-step explanation:

if you place the decimals ontop of each other like this

0.42

3.8

10.51

and count the numbers behind the decimal of each decimal which is

4, 2, 8, 3, 1

meaning that your decimal place would be 5 places to the left of your answer when you multiply

Answer:

D

Step-by-step explanation:

here are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.

Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21

Answers

Answer:

a) w=6

b) a=3

c) c=7

Step-by-step explanation:

[tex]3w+6=4w[/tex]

[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]

[tex]3w+6-6=4w-6[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]3w=4w-6[/tex]

[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]

[tex]3w-4w=4w-6-4w[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-w=-6[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]

[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]

[tex]w=6[/tex]

___________________________________________

[tex]a+18=7a[/tex]

[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]

[tex]a+18-18=7a-18[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]a=7a-18[/tex]

[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]

[tex]a-7a=7a-18-7a[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-6a=-18[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]

[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]

[tex]a=3[/tex]

Question 17
5 pts
What inequality is shown on the graph?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
23
O2<3
O2 > 3
O3 <3

Answers

Answer:

[tex]x \geqslant 3 [/tex]

I'm trying to get to an 100 please do not get me wrong..

Answers

Answer:

Its a parallelogram.

Step-by-step explanation: Hope it helps. :)

What is 20x8 divided by 3-5

Answers

Answer:

-80

Step-by-step explanation:

→ Complete the multiplication

20 × 8 = 160

→ Complete the take away

3 - 5 = -2

→ Divide the two answers from each other

160 ÷ -2 = -80

A team of explorers on an expedition was interrupted by bad weather on 20% of the days. If the weather was bad for 45 days, what was the total number of days the team was on its mission?

Answers

Answer:

a total of 9 days

Step-by-step explanation:

20% of 45 is 9

answer

=9days

step by step explanation

20% is always over 100,so you are to do 20 over a hundred of 45 days....since 45 can't divide 100 do 20

[tex] \times [/tex]

45 divide by one hundred and the final answer will be 9

La gran pirámide de Guiza se terminó de construir alrededor del año 2570 antes de nuestra era ¿Cuántos milenios han transcurrido desde entonces?

Answers

Answer: La Gran Pirámide de Giza se terminó en 2490 a. C.

Tiempo necesario para construir la Gran Pirámide de Giza: 2550 a 2490 a. C.

Chicken Itza se construyó alrededor del año 600 d.C.

Step-by-step explanation:

Jacob and his team start at the 45 yard line but they get a flag and have to go back 15 yards. The next play Jacob ran the ball 12 yards before getting tackled. How many yards does Jacob's team have to go to get to the touchdown zone? ​

Answers

45 plus 15 is 60 so he ran 12 yards so subtract 12 from 60 and your answer is 48

what is the GCM of 9 and 7

Answers

Answer: See explanation

Step-by-step explanation:

Do you mean the greatest common factor (GCF), or the lowest common multiple (LCM).

If you mean GCF, then it is 1 because 7 is a prime number and has two facotrs (1 and itself) and since 9 isn’t divisible by 7, the GCF must be 1.

If you mean the LCM, the answer is 63. Using prime factorisation, we find the lowest prime factor of both numbers:

9 = 3^3

7= 7^1

Then, we multiply these together to give 63.

You cannot have a GCM, because you can’t find a greatest common multiple as numbers go on forever.

I hope this helps!

Please help!!!! !!!!!!

Answers

Answer:The area is 256

Step-by-step explanation:

4 is the length side and everyone know a sq has the same length side so list 4 to the power of 4

Factorize 3x² + 7xy - 6y².

Evaluate the expression in (a) above if x = 4 and y = 3.

Please help. Thanks.​

Answers

Answer:

41

Step-by-step explanation:

Evaluate the expression for the given values of the variables.(n + 5)^2 for n = −7


When n = −7, the expression is equal to...

Answers

4

Step-by-step explanation:

(n + 5)² for n = -7

= (-7 + 5)²

= (-2)²

= 4

2(3w-6)=5w+8
asap plz

Answers

Answer:

w = 20

Step-by-step explanation:

2 (3w - 6) = 5w + 8

distribute the 2

6w - 12 = 5w + 8

subtract 5w from both sides

w - 12 = 8

add 12 to both sides

w = 20

Answer:

The value of w is 20.

Step-by-step explanation:

Solution :

[tex]{\longmapsto{\tt{2(3w - 6)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{(3w \times 2 )- (6 \times 2)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{(6w)- (12)=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{6w - 12=5w + 8}}}[/tex]

[tex]{\longmapsto{\tt{6w - 5w = 8 + 12}}}[/tex]

[tex]{\longmapsto{\tt{w = 20}}}[/tex]

Hence, the value of w is 20.

[tex]\rule{300}{2.5}[/tex]

3. You drove 75 miles/hour for 8 hours. How far did you travel?

Answers

Answer:

800

Step-by-step explanation: 75 x 8

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