A town
has a population of 14000 and grows at 2.5% every year. What will be the
population after 5 years, to the nearest whole number?

Answers

Answer 1

Answer:

The answers is 15840

Step-by-step explanation:

\text{Exponential Functions:}

Exponential Functions:

y=ab^x

y=ab  

x

 

a=\text{starting value = }14000

a=starting value = 14000

r=\text{rate = }2.5\% = 0.025

r=rate = 2.5%=0.025

\text{Exponential Growth:}

Exponential Growth:

b=1+r=1+0.025=1.025

b=1+r=1+0.025=1.025

\text{Write Exponential Function:}

Write Exponential Function:

y=14000(1.025)^x

y=14000(1.025)  

x

 

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=14000(1.025)^{5}

y=14000(1.025)  

5

 

y= 15839.71498

y=15839.71498

Evaluate

y\approx 15840

y≈15840

round


Related Questions

solve it 7/10+2/3
pls explain​

Answers

Answer:

1.36

Step-by-step explanation:

Solve for X and round to the nearest tenth

Answers

Answer:

4.2

Step-by-step explanation:

cos65°= adj/hyp

cos65°= x/10

x= cos65° * 10

*make sure your calculator is in degree mode

4.226

cos = adjacent / hypotenuse

cos 65 = x/10

10 cos 65 = x

x = 4.22618....

x = 4.2 (nearest tenth)

During a period of extreme cold, the average daily temperature dropped decreased by 112°F each day. How many days did it take for the temperature to decrease by 9°F? Which equation would you use to find the solution? I need help

Answers

Answer:

6 days

Step-by-step explanation:

Given

[tex]Rate = -1\frac{1}{2}^\circ F[/tex] -- Negative because it decreases

[tex]Final\ Temperature = -9^\circ F[/tex] -- Negative because it still decreases

Required

Determine the number of days

Let the number of days be d.

So:

[tex]Rate * d = Final[/tex]

[tex]-1\frac{1}{2} * d = -9[/tex]

[tex]1\frac{1}{2} * d = 9[/tex]

Convert to improper fraction

[tex]\frac{3}{2} * d = 9[/tex]

Make d the subject

[tex]d = \frac{9 * 2}{3}[/tex]

[tex]d = 3 * 2\\\\d = 6[/tex]

Find the amount and compound interest on 5000 at 6% per annum for 3 years annual

Answers

Answer:

The amount is 5,955.08

Step-by-step explanation:

Here, we want to calculate compound interest

We can find this by using the compound interest formula

A = P( 1 + r/n)^nt

A is amount

P

is the principal = 5,000

r is the interest rate = 6% = 6/100 = 0.06

n is the number of times per year in which the interest is compounded = 1

t is the number of years = 3

Substituting these values;

A = 5,000(1 + 0.06/1)^3(1)

A = 5000(1.06)^3

A = 5,955.08

What is 5 3/8 as an improper fraction

Answers

Improper Fractions -

Formula:

[tex]denomimator \times mixed \: number + numerator[/tex]

[tex]5\frac{3}{8} = \frac{43}{8} [/tex]

Expressing 5 3/8 as an improper fraction would be written as 43/8

Given the fraction which is need for our Calculation:

5 3/8

Improper fractions have their Numerator values greater than the denominator

Hence, we have :

43/8

Therefore, the improper fraction representation is 43/8.

Learn more on Fractions: https://brainly.com/question/78672

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Ann gave Betty as many cents as Betty had. Betty then gave Ann as many cents as Ann then had. At this point, each had 12 cents. How much did Ann have at the beginning?

Answers

Answer:

Work backward.  If at the end they both had 12 cents.  Then Betty had to have given Ann 6 cents.  Which means that Betty had to have had 18 cents, because there is always a total of 24 cents.  Which meant that before that, Betty had 9 and was given 9 cents.  So Betty originally had 9 cents.  So Ann had 24 minus 9 or 15 cents at the beginning.

Step-by-step explanation:

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Answers

Answer:

I think the answer is B

Step-by-step explanation:

The y-intercept for any graph is a base value or in this case, a base salary. For example, if this guy earns a base salary of $1200 and gets 25% commission on each sale, then the equation would look like this: y = 0.25x + 1200 where 1200 is the y- intercept. Hope this helps.

helpppppppppppppppppppp

Answers

Answer:

D is right.

it says name the congruent sides. so KR is congruent to SO and OR is congruent to SK

Answer:

D)

Step-by-step explanation:

Sides with the same number of marks are congruent.

The top and bottom sides are congruent. The left and right sides are congruent.

Answer: D)

What is the LCM of 2, 4, and 5?

Answers

Answer:

20

Step-by-step explanation:

the LCM of 2, 4, and 5?

2

[tex] {2}^{2} \times 5[/tex]

What is the value of x in the figure?

Enter your answer in the box.

x =

Answers

Answer:

68

Step-by-step explanation:

360÷4=90

90-22

68

hope this helps

Answer:

68

Step-by-step explanation:

right angle is 90 take away 22 is 68

Is n=10 a solution to this equation? n/2 + n = 10

Answers

Answer:

No, it is not a solution.

Step-by-step explanation:

Substitute 'n' for 10.

[tex]\frac{10}{2} +10=10\\\\5+10=10\\\\\boxed{15\neq 10}[/tex]

10 is not the solution to the equation.

Hope this helps.

Given the definitions of f(x) and g(x) below, find the value of g(f(6)).
f(x) = -33 + 10
g(x) = x2 + 3x – 12

Answers

3 because it is a better Dona a toon

Sarim can iron 30 shirts in 15 minutes. How long will it take to iron 35 shirts?

Answers

Answer:

A.T.Q

Sarim can iron 30shirts in 15 min

, therefore, for 1 shirt it will take

= 15/30 minutes = 1/2 minutes

therefore for 35 shirt it will take

= 35 * 1/2

= 17.5 minutes

Step-by-step explanation:

therefore, 17.5 minutes is your answer!

Hop it's helpful,

if it is helpful, the please follow me,,, (◠‿◕)

please,,,

Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip

Answers

Answer:

what is your question

Step-by-step explanation:

Solve for X. No decimals
Help please

Answers

Answer:

x =√25-16

x =√9

x =3

Step-by-step explanation:

I've used the Pythagoras theorem

Answer:

The answer is three

Step-by-step explanation:

The equation would be 4(4)+x(x)=5(5).

I used the pythagorean theorm to get this equation.

Find the slope of the graph.

Answers

Answer:

Step-by-step explanation:

Choose two points:

(3,-4)(-3,4)

-3-3/4+4

-6/8

m=-6/8

Which rational number is NOT greater than point A?

A. 214
B. 1.95
C. 2.05
D. 1624

Answers

Step-by-step explanation:

) Every positive rational number is greater than 0. 

(ii) Every negative rational number is less than 0.

(iii) Every positive rational number is greater than every negative rational number. 

(iv) Every rational number represented by a point on the number line is greater than every rational number represented by points on its left. 

(v) Every rational number represented by a point on the number line is less than every rational number represented by paints on its right

b

A line has a slope of -2. One of the points on the line is (7.-4). Which of the following could be another point on the line? A (2,14) B (1,8) с (-4,7) D (1,12)​

Answers

Answer:

C should be right

Step-by-step explanation:

I hope this helps

Choose the country which helped India to set up Bhilai Iron and Steel plant in 1959.
a) United States of America

b) Soviet Union

c) Japan

d) France

Answers

Soviet union, union of Soviet socialist republic

A plane takes off at 54 degrees latitude. It flies directly south and lands at -12 degrees latitude. Which expression represents the difference in latitude?

❘-12 - 54❘
-❘54❘ + ❘-12❘
❘54 - 12❘
-❘54❘ - ❘12❘

Answers

Answer:

❘-12 - 54❘  

I hope my answer is correct and helpful.

The slope of the line that passes through the points (2,4) and (3,8) is ...

Answers

slope = y2 - y1 / x2 - x1
= 8-4 / 3-2
= 4 / 1
= 4

Choose the function whose graph is given by: (attached photo)


y= 2cos(3x)
y= -2cos(3x)
y= 2cos(pi/2 x)
y= 2cos(1/3 x)

Answers

Answer:

2cos(3x)

Step-by-step explanation:

If the function were just cos(x), then the second peak would happen at 2π.  Instead though, it happen 2π / 3.   That means that the coefficient of x must be 3.

At zero, we see a peak of the curve, so we're dealing with a cos function, that peak happens at (0, 2), so the coefficient of the function is 2.

That tells us that the function graphed here must be 2cos(3x).

The correct answer is option A which is the equation of the given graph is y = 2cos(3x)

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

If the function were just cos(x), then the second peak would happen at 2π.  Instead, though, it happens 2π / 3.   That means that the coefficient of x must be 3.

At zero, we see a peak of the curve, so we're dealing with a cos function, that peak happens at (0, 2), so the coefficient of the function is 2.

Therefore the correct answer is option A which is the equation of the given graph is y = 2cos(3x)

To know more about graphs follow

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what property is (4y+1) x 0 = 0

Answers

Answer:

5y

Step-by-step explanation:

if u have 4y+1 it just =5y

Answer:

zero product property

Step-by-step explanation:

any number times 0 = 0

(the property might be called something else at your school)

14. Write the ratio 15:5 with second term 1.
a. 10:1
b. 3:1
C.
11:1
d. 5:1

Answers

Answer:

your answer would be b

Step-by-step explanation:

if you divide each side by 5 you get

15/5:5/5

3:1

hope this helps! have a nice day!

B

5/1 = 1
15/5= 3

So 3:1

Jordyn wants to gain less than 5 pounds over the Christmas break

Answers

If your talking about gaining 5 pounds of muscle over Christmas break no that won’t happen but if you eat yea probably

Complete the table for the given rule.
Rule: y= 1/3x

Answers

Answer:

Rule: Y = 1/3x

Slope: 1/3

Y- intercept: (0,0)

X- Intercept: (3,1)

I have answered have a good day.

Carmen needed 23 of a yard of fabric to make a shirt and a 12 yard of fabric to make a matching skirt. How much total fabric did Carmen need to buy? 1 yard of fabric 1 yard of fabric 34 yard of fabric , 3 fourths, yard of fabric 116 yards of fabric , 1 and 1 sixth, yards of fabric 56 yard of fabric

Answers

Answer:

38/3 yards

Step-by-step explanation:

Given that,

Fabric required to make a shirt = 2/3 of a yard

Fabric required to make a skirt = 12 yards

Total fabric needed,

[tex]x=\dfrac{2}{3}+12\\\\=\dfrac{38}{3}\ yards[/tex]

Hence, 38/3 yards of fabric is needed.

how many groups of 1/8 are in 11/12​

Answers

Answer:

2

Step-by-step explanation:

I need to make it 20 character long.

Greg ran for president of the chess club, and he received 21 votes. There were 60 members in the club. What percentage of the club members voted for Greg?

Answers

35%.
21 is 35% of 60.
HAVE A GUD DAY!

what is the value sin 35 = 20/x

Answers

Answer:

I got x=4/7

Step-by-step explanation:

hoped I helped:) please correct me if in wrong:)

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