The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.

Answers

Answer 1

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

To calculate the population at the beginning of 2016, we need to use the following formula:

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.


Related Questions

determine the type of triangle ​

Answers

Scalene right triangle-

None of the angles are congruent so it’s scalene, but since a it has a 90 degree angle it is also a right triangle

What are the names of three collinear points?

Answers

Points L, J, and K are collinear

What is Bethany's score on the test if she got 23 out of 30 right? (Round to the nearest whole number.)

Answers

Answer:

77%

Step-by-step explanation:

23 divided by 30 is 0.766666, which percent-wise is rounded to 77% :)

Answer:

77%

Step-by-step explanation:

30 was 100%

23 is  x%

x=23*100/30 = 76.666.. rounded to 77%

There is no solution to the equation sec x = 0.
True or False

Answers

Answer

yes it is true

A tree that is 10 feet tall casts a shadow that is is 5 feet long. Find the height of a light pole that casts a 9 foot

Answers

Answer:

The light pole is 18 feet tall. This is because it casts a shadow that is 9 feet long.

I’m doing a percent equation problem and the question is blank % of $50 =$35 help me plzzzz

Answers

Answer:

70

Step-by-step explanation:

blank % of $50 =$35

Let us take x in place of blank.

x % of $50 =$35

x/100 * 50 = 35

x/2 = 35

x = 35*2

x = 70

Therefore, 70% of $50 =$35

find the value of this expression if x= -7

x^2+5/x+1

Answers

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

What is the measure of the angle?​

Answers

The angle is a 90 degree angle.

Answer:

80degrees

Step-by-step explanation:

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

Write an exponential function to model the situation. Then find the value of the function after 5 years to the nearest whole number. A populaton of 330 animals that decreases at an annual rate of 22%.

Answers

Answer:

Results are below.

Step-by-step explanation:

First, we need to establish the decrease function in the given population:

FV= PV/(1+g)^n

FV= future value

PV= present value

g= decrease rate

n= number of periods

Now, for the given information:

PV= 330

g= 22% = 0.22

n= 5 years

FV= 330 / (1.22)^5

FV= 122

Help plssssssssss!! Will give brainliest!! 1 and 2

Answers

Answer:

Step-by-step explanation:

5+4^2-6/3

use pemdas

Answer:hahaj

Step-by-step explanation:

ANSWER ASAP FOR BRAINLIEST

Answers

Answer:

I CANT SEE THE IMAGE BUT I NEEED POINTS xD

Step-by-step explanation:

PERIODDDDDDDDD

Answer:

Laptops, 82 is the largest number when you look at the totals.

Step-by-step explanation:

gender|    electronic tablet | Laptop | Both | Neither | Total

----------|----------------------------|------------|---------|-------------|--------

girl       |      13                       |    51      |   8     |      17      |   89

boy      |      12                       |    31      |   5     |      13      |   61

total     |      25                      |    82     |   13    |     30     |    150

LMK If I have to explain but I basically just got the 150 students from the directions and went from there.

help please ><
fill in the blank
In a graph, the initial value of a functions is the _____.

Answers

Answer:

Initial value of a graph is always the variable a.

Step-by-step explanation:

If you have any questions about that, let me know :)

Answer:

The initial value, or y-intercept, is the output value when the input of a linear function is zero. It is the y-value of the point where the line crosses the y-axis. An increasing linear function results in a graph that slants upward from left to right and has a positive slope.

whats nine plus ten if anyone knows this meme put the answer in

Answers

Answer:

jnoioikop

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Hahahahahahhahahahhahaha

find the slope of a line that passes through the points (-4,3) and (7,5)

Answers

Answer:

2/11

Step-by-step explanation:

5-3/7--4 = 2/11

I need the answer please​

Answers

Answer: i'm sorry i can not answer your question cos i can't see the last part of the problem but i riley wish i could but since i cant i'll thank you and rate you with 5 stars if you want to be friends we can just follow me and friend me you don't have to if you don't want to so stay safe around others

Step-by-step explanation:

what is 4km:370m in simplest form

Answers

Answer:

4.37 KM

Step-by-step explanation:

370 m to KM = 0.37 KM

then you sum 4 KM + 0.37 KM and you have 4.37 KM in its simplest form.

Best regards

State if each triangle is a right triangle:

13 ft
5 ft
10 ft

Answers

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

Answer:

It is not a right triangle

Step-by-step explanation:

a(squared) + b(squared) = c(sqaured)

a = 13, b = 5, c = 10

13 times 13 is 169

5 times 5 is 25

169 + 25 = 194

but that's not all.

10 times 10 is 100.

the problem is 169 + 25 is 194, not 100. for the triange to be a right triangle, all the numbers have to make sense. i don't know if this helps but again, it is not a right triangle.

Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%

Answers

Answer:

B. 28.57%

Step-by-step explanation:

Change in height:

72 - 56 = 16

Percent of change:

16/56*100% = 28.57%

Correct choice is B

Solve the following equation for c.
ab + cd = e

(Sorry, this is all the info they gave me.)

Answers

Answer:

Step-by-step explanation:

ab + cd = e

       cd = e - ab

         d =(e - ab)/d

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2

Answers

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

4/3 ÷ 7/8 = in khan academy

Answers

Answer:

1/42

Step-by-step explanation:

1 11/21

Have a Merry Christmas!

Which fraction names the shaded part of the set?

Answers

It would be 4/12 which is equal to 1/3.

The answer is 1/3

The fraction of the shaded part of the set is 1/3.

Given is a figure in which there are total 12 parts with 4 parts shaded.

We need to find the fraction of the shaded part of the set,

To find the fraction of the shaded part of the set, we need to determine the ratio of the number of shaded parts to the total number of parts.

In this case, the total number of parts is 12, and the number of shaded parts is 4.

Therefore, the fraction of the shaded part can be calculated as follows:

Fraction of shaded part = Number of shaded parts / Total number of parts

Fraction of shaded part = 4 / 12

Simplifying the fraction, we get:

Fraction of shaded part = 1 / 3

So, the fraction of the shaded part of the set is 1/3.

Learn more about fraction click;

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A performer expects to sell 5000 tickets for an upcoming concert. They plan to make a total of 311000 in sales from these tickets. Assume that all tickets have the same price. How much money will they make if they sell 7000 tickets?

Answers

435400 i think,as one ticket costs 62.2 in this case which means if we do 7000 multiplied by 62.2 ,we get435400

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

Answers

Answer:

L = -0.5x + 34

Step-by-step explanation:

When finding m in the formula y = mx + b. Find a word that means multiplication, in this case 0.5 feet per day.

P and Q are supplementary p=(5x+3) and Q=(x+3) what is the measure of Q?
a) 17 degrees
b)26 degrees
c)29 degrees
d)32 degrees

Answers

d (32 degrees) i hope this helps.

_______ ÷ 39 = 1755

_______÷ 1755 = 39
say how you did it or show a pic of how you did it if you show a pic of how you did the work then ill give you the crown that i forgot the name of it

Answers

Answer:

Step-by-step explanation:

1755*39= 68445

68445/39=1755

68445/1755=39

Quadrilateral JKLM is a kite as such KM is a perpendicular bisector of J L at point P given that KP =4" JL equals 12" and AML equals 20" was the length of the permenter of the quad JKlM?

Answers

Answer:

40 + 4√13

Step-by-step explanation:

A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.

Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.

JP = LP

JL = 12

JL = JP + LP

12 = JP + LP

2JP = 12 (LP = JP)

JP = 6

We can find JK using Pythagoras theorem, hence:

JK² = JP² + KP²

JK² = 4² + 6²

JK² = 16 + 36

JK² = 52

JK = √52 = 2√13

JK = KL = 2√13

ML = JM = 20

Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13

Perimeter of kite = 40 + 4√13

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

Answers

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Learn more about function here:

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