The population of a town in North Carolina is modeled by the function f(x) = 10,520(1.041)'. If the initial population (that is, the population when x = O) was
measured January 1, 2012, what was the initial population?

Answers

Answer 1

Answer:

Step-by-step explanation:

This is an exponential growth function of the form

y=ar^x

Where y=final value, a=initial value, r=common ratio, x=term number.

Since a=10,520, that was the initial population in 2012.


Related Questions

a Carver begins work on the following block of granite that weighs 2700g what is the density of the granite ​

Answers

Density" of the given granite block is 2.7g/cm

3

.

Explanation:

Density of an object is defined as the mass occupied per unit volume. “Density” is represented by “ρ”. Mathematically, \rho=\frac{m}{v}ρ=

v

m

where, “m" mass of an object and "v" is volume of an object.

Given that,

Dimensions of the block are 20 cm, 5 cm and 10 cm.

\text { Volume of the block is } l \times b \times h Volume of the block is l×b×h

\text { Volume of the block is } 20 \times 5 \times 10 Volume of the block is 20×5×10

\text { Volume of the block is } 1000 \mathrm{cm}^{3} \text { . } Volume of the block is 1000cm

3

.

Mass of the block is 2700 g.

Substitute the given values in \rho=\frac{m}{v}ρ=

v

m

to find density of a block.

\rho=\frac{2700}{1000}ρ=

1000

2700

\rho=2.7 \mathrm{g} / \mathrm{cm}^{3}ρ=2.7g/cm

3

\text { "Density" of the given granite block is } 2.7 \mathrm{g} / \mathrm{cm}^{3} "Density" of the given granite block is 2.7g/cm

3

a rectangular banner has an area of 36.75 square feet, The length of the banner is 15 feet. What is its width

Answers

Answer:

w=A

l=36.75

15=2.45ft

Step-by-step explanation: there you go :>

Answer:

2.45ft

Step-by-step explanation:

w=A

l=36.75

15=2.45ft

whats the answer a b c and d?

Answers

Answer:

VC & WC

Step-by-step explanation:

It's going to be the sides opposite the equal angles.

d - 41 = 19

Choose the answer that shows what to do in the process step, and what the solution (answer is).

Question Options:

add 41; d = 60

subtract 41; d = 60

multiply by 41; d = 60

divide by 41; d = 60

Answers

Answer:

see explanation

Step-by-step explanation:

add 41; d = 60

cindy added 7/8 cup of water to 1/4 cup of juice concentrate.how much juice did cindy make?​

Answers

Answer:

1 1/8

Step-by-step explanation:

7
8
+
1
4
=
7
8
+
1 × 2
4 × 2
=
7
8
+
2
8
=
7 + 2
8
=
9
8
=
1 1
8

The main office staff collected 55 cans, the counseling staff collected 89 cans, and the custodial staff collected 67 cans.

Answers

what are you trying to ask here?
What is the rest of the question?

Greatest common factor of 2x^3 and 5x

Answers

answer: x

explanation: they only share x

Write two expressions that are equivalent to the expression below. (9 - c) + (9 - c) + (9 - c) + (9 - c)

Answers

Answer:

4(9 – c)

36 – 4c

Step-by-step explanation:

An example of two equivalent expressions includes the general expression and then the one that is factored.

A pet shop is 10 dogs, 15 cats, 6 birds , and 4 snakes . What is the ratio of dogs to pets?​

Answers

Answer:

2:7

Step-by-step explanation:

10+15+6+4=35

given dogs=10

10/35=2/7

2:7

7. Round the following numbers off to the nearest 10
a) 34 555=
B)25332=
C)5=

Answers

Answer:

a) thirty-five(35)

b) twenty-five(25)

c) ten (10)

Rosa has a picture frame that measures 12 inches by 18 inches. Which measurement is closest to the diagonal distance across the frame?
A. 6 inches
B. 21.6 inches
C. 30 inches
D. 36 inches

Answers

Answer:

B:21.6

Step-by-step explanation:

12²+18²=C

144+324=468

V468=21.6

Answer:

B 21.6

Step-by-step explanation:

You can solve this using the Pythagorean theorem:

h² = l² + w²

h² = 18² + 12²

h² = 324 + 144

h² = 468

h = √468

h ≈ 21.6

Two apples and six plums provide 300 calories. Three apples and five plums provide
350 calories. How many calories are provided by five apples and eight plum?

Answers

Answer:

4,596

Step-by-step explanation:

Given: 7X/2 < 5. Choose the solution set. {x | x < 10/7} {x | x >10/7 } {x | x < 35/2} {x | x > 35/2}

Answers

Answer:

{x | x < 10/7}

Step-by-step explanation:

A pair of Sneakers cost $112 after it was marked up by 75%. How much
did it cost before the mark up?

Answers

Question

A pair of Sneakers cost $112 after it was marked up by 75%. How much

did it cost before the mark-up?

Answer

Divide the gross profit by the cost and multiply by 100 to calculate your percentage markup. In the example, divide $75 by $100 which equals $0.75, and multiply by 100 to give you 75 percent. Your markup on cost price is 75 percent.

Therefore, the answer would be (196)

Answer:

i believe the answer would be $448

Step-by-step explanation:

hopefully this helps :)

have a nice day !!

**please let me know if this was wrong**

Hey guys, please help with my last question, you will be rewarded handsomely with ten points ​

Answers

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Question is below ( explanation)

Answers

To find the rate, you must divide the distance traveled by the time it took.

17.5 m is the distance while time it took was 5 seconds.

So,

17.5 ÷ 5 = 3.5 m/s

The rate of the anchor is 3.5 m/s

Note: I did not ignore the negative sign in the distance but rather acknowledged it as a magnitude. This meant that the anchor was dropping down instead of going up.

Please help I need a quick answer

Answers

Answer:

the first one

Step-by-step explanation:

have a great day :D

what 2 two numbers multiply to -36 and add to 16

Answers

Answer:

18 and -2

Step-by-step explanation:

x (y) = -36

x + y = 16

Answer:

18 n 2

Step-by-step explanation:

5. A trapezoid has a base of 20 inches and 30 Inches. The height of the trapezoid is 15
inches. What is the area of the Trapezoid in square inches?

Answers

Add the top and bottom together, divide by 2 then multiply by the height.

20 + 30 = 50

50/2 = 25

25 x 15 = 375

The area is 375 square inches.

The asking price for homes on the real estate market in Baltimore has a mean value of $286,455 and a standard deviation of $11,200. The mean and standard deviation in asking price for homes in Denver are $188,468 and $8,230, respectively. Recently, one home sold in each city where the asking price for each home was $193,000. Assuming that both distributions are bell-shaped, which of the following statements is true?
A) The Deriver home has a higher standard z-value.
B) The Baltimore home has the higher standard z-value.
C) Both cities have the same coefficient of variation
D) By The coefficient of variation for Denver is less than for Baltimore.
E) Boş bırak

Answers

Answer:

C) Both cities have the same coefficient of variation

It's not 3 so what's the volume?​

Answers

The answer is 27. Volume of the cube
I believe is is 729 b/c you have 6 sides to you times three 6 times

25 is 32% of what number

Answers

Answer:

78.125

Step-by-step explanation:

0.32*x = 25

x = 25/0.32 = 78.125

Answer:

78.125

Step-by-step explanation:

Let the number be Y

32% of Y = 25

32/100 x Y = 25

32Y = 25x100

32Y = 2500

divide both sides by 32

Y = 2500/32

Y = 78.125

through: (4, 5), slope = 1

Answers

Answer:

Step-by-step explanation:

You want an equation for the line of slope 1 that passes through (4,5)?

Point-slope equation:

y-5 = 1(x-4)

in slope-intercept form:

y = x+1

8. What fraction is located halfway
between 0 and
2
4

Answers

1/4 or 1/2 I’m not sure though

Question 3 (1 point)
(07.07)
Find the product of (x + 5)2. (1 point)
O a
x2 - 10x + 25
Ob
x² – 25
Oc
x2 + 25
Od
x2 + 10x + 25

Answers

Answer) Od
(a+b)2 =a2+2ab+b2

PLS HELP AND ANSWER QUICK PLZ

Answers

63°

Step-by-step explanation:

my answer got deleted sorry!

The base of a pyramid is a triangle with a base of 28 inches and a height of 21 inches. Determine the volume of the pyramid, if its height is 68 inches.

A) 3,528 cubic inches

B) 19,992 cubic inches

C) 13,328 cubic inches

D) 6,664 cubic inches

Answers

Im not sure if you intentionally put height twice instead of width. But, if it’s width is 21 inches, it’ll be C.

1. The standard deviation of sample size of n = 15 is 345 and the mean is 6784. Given that the

population follows a normal distribution, construct a 90% confidence interval estimate of the

mean of the population.

Answers

Answer:

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 15 - 1 = 14

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.761

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.761\frac{345}{\sqrt{15}} = 157[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 6784 - 157 = 6627

The upper end of the interval is the sample mean added to M. So it is 6784 + 157 = 6941

The 90% confidence interval estimate of the mean of the population is between 6627 and 6941.

a farmer sells 7.6 kg of apples and pears at the Farmers Market. Two-fifths of this weight is Apple's, and the rest is pairs. How many kilograms of pears does she sell at the Farmers Market? ​

Answers

1/5 = 20% so... 2/5 = 40%
40% of 7.6 is 3.04
Subtract 3.04 from 7.6, you get 4.56

The farmer sells 4.56 kilograms of pears at the Farmers Market.

The point (3, −5) is reflected over the x-axis. What are the coordinates of the new point? Group of answer choices

Answers

(3,5) is the answer i think

hope it helpss

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