Mathematics College

If the population of a certain county was 100,000 in 1998 and 110,429 in 2008, and if the formulay = P0ehtapplies to the growth of the county's population, estimate the population of the county in 2023. (P0 is the initial population. Round your value of h to four decimal places. Round your answer to the nearest whole number.)

Answers

Answer 1

Answer:

126807 people

Step-by-step explanation:

Given;

P= Poe^ht

Where;

P= population at time t

Po= population at the beginning

h= growth constant

t= time

1998- 2008 is ten years.

110429= 100,000e^10h

1.1 = e^10h

ln(1.1) = lne^10h

0.095 = 10h

h= 0.0095

In 2023, t = 25 years

P= 100,000e^(0.0095 × 25)

P= 126807 people

Related Questions

Some plz help it’s for all of them

Answers

Answer:

a is 0,4

Step-by-step explanation:

Answer:

A) 4,0

G) 1,4

Q) 0,-4

N) -4,-3

What is the slope of the function f(x) = 6x + 10 *
1
10
6
16
Other:

Answers

Answer:

Step-by-step explanation:

6 is the slope of the function

Muffins are sold in packages of 18. Select the expressions that can represent the total number of muffins in p packages of muffins.
A. 18 + p
B. 18 × p
C. 18 – p
D. 18 ÷ p
E. 18p

Answers

i would say that the answer is e

please help me thanks

Answers

i believe it would be the last answer, 6.25
if this is correct i’m very sorry, but if this helps, please mark brainliest. :)

Use the order of operations to simplify 8.6 - 4.2+ 3/10

Answers

Answer:

4.7

Step-by-step explanation:

Answer:

if you are on the exam on A PE X, the answer is 9/10

Step-by-step explanation:

hope this helps!!

what is the midpoint of the segment shown below ?

Answers

(1, -3/2) is your answer. The answer is D.

part two thinking a number between 1 and 10 but doble the money!

Answers

The answer is 5 dhrnrhenebbebdbrhebrjrn

The difference between 8 forty-sevens and forty-sevens

Answers

847 s - 47 I think that’s what it is

Lisa has scored 24, 21, and 20 points in her three basketball games so far. How many points does she need to score in her next game so that her average
(mean) is 21 points per game?
Explanation
Check

Answers

Answer:

She needs to score AT LEAST 19 points

Step-by-step explanation:

24 + 21 + 20 + 19 = 84

84 ÷ 2 = 21

Find the percent of change for 25 is decreased to 10.

Answers

Answer:

60%

Step-by-step explanation:

25-10=15

15÷25=0.6

0.6×100=60

Rosalita is making chocolate chip cookies. She needs 20 ounces of
chocolate chips. She has
2 1/4 pounds of chocolate chips. There are 16 ounces in 1 pound. How
many ounces of chocolate chips will Rosalita have left after she makes her
cookies?

Answers

the correct answer is 16

helpppppppp meeeeeeee

Answers

Answer:A

Step-by-step explanation:

Help me please i beed this now

Answers

Answer:

well 5% of 600 is 30. so if you make 600 phone calls and an average of 5% of those calls are people signing up, then that would be 30.

4x + 2y = 32
5x - 2y = 31

Answers

Answer:

Step-by-step explanation:

Find the unit rate.

You earn $15 in 3/4 of a month. At this rate, how much do you make in 1 month?

Answers

Answer:

you make 20 dollars in a month

Step-by-step explanation:

15 is 3/4 a month, unit rate would be 5 dollars a week so therefore a whole month would be 20

A card is randomly selected out of a standard 52 deck of cards. What is the probability of selecting a queen or a
heart?
Leave your answer as a fraction in lowest terms

Answers

Hello,

Answer: 1/52 (Queen) 1/52 (Heart)

Further explaining: A 52 deck of cards has one each of queen and heart. So take the selected card, and plug it into the numerator and the total, (including selected card) and add that into the denominator.
Hope this helps!

how many times does 12 go into 60?

Answers

Answer:

5 times

Step-by-step explanation:

What is 2×+y=9 in the y=mx+b form?

Answers

Answer: y=-2x+9

Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9

Solve the system by graphing 3x+y=4 and x-y=4

Answers

Attached is a pic of the graph

Write an integer for: A bank deposit of $175

Answers

Answer:

175

Step-by-step explanation:

A deposit is adding money to the bank, so the integer will be positive.

That makes our integer: 175

Write an equation of a line that is parallel to y = x - 7 and passes through the point (-6, -11).

Answers

Answer:

y = x - 5

Step-by-step explanation:

Comparing the given y = x - 7 to y = mx + b, we see that the slope is +1.

In y = x + b we replace y with -11 and x with -6 to determine the y-intercept, b:

-11 = -6 + b

Then b must be -5, and so the desired new equation is

y = x - 5

I need help for math plz :(

Answers

Answer:

Option D

Step-by-step explanation:

Set of data in terms of ordered pairs represents a function when output value of each input value is different.

Option A

Since, for every value of x there is a different value of y, it's a function.

Option B

In each ordered pair, for every value of x there is a different value of y.

Therefore, it's a function.

Option C

From the given graph, for every value of x there is a different value of y.

Therefore, it's a function.

Option D

From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).

Therefore, the given set of ordered pairs doesn't represent a function.

Option D is the answer.

A box of 6 glue sticks costs $8.95. How much will it cost to buy 5 glue sticks?

Answers

It will cost you $7.45

g If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that: Both hypotheses H0 and H1 can be accepted The null hypothesis H0 cannot be rejected The null hypothesis H0 can be rejected The research hypothesis H1 can be accepted

Answers

Complete Question

If the p-value for your test statistic in a test of hypothesis (for example, a t-test, one-tail) is 0.07 and the significance level alpha is set at 0.05, you conclude that:

Both hypotheses H0 and H1 can be accepted

The null hypothesis H0 cannot be rejected

The null hypothesis H0 can be rejected

The research hypothesis H1 can be accepted

Answer:

The correct option is B

Step-by-step explanation:

From the question we are told that

The p-value is [tex]p-value = 0.07[/tex]

The level of significance is [tex]\alpha = 0.05[/tex]

Generally given that it is a one tail test then the possible value of

The null hypothesis is [tex]H_o : \mu = x[/tex]

Here [tex]\mu[/tex] is the mean and x is the value

the possible values of the alternative hypothesis is [tex]\mu > x \ \ or \ \ \mu < x[/tex]

Now from the value given we see that the [tex]p-value > \alpha[/tex] hence

The decision rule is

Fail to reject the null hypothesis

Carly earned some money doing odd jobs last summer and put it in a savings account that earns 5% interest compounded quarterly. After 2 years, there is $400.00 in the account. How much did Carly earn doing odd jobs? * A. 155.90 B. 441.79 C. 390.18 D. 362.16

Answers

I believe it’s 362.16 but not 100%

A customer at a store paid $96 for 5 large candles and 7 small candles. At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies Write a system that could be used find the price in dollars of each large candle, x, and each small candle, Y

Answers

Answer:

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

Step-by-step explanation:

From the question:

Let cost of:

large candles = x

Small candles = y

A customer at a store paid $96 for 5 large candles and 7 small candles.

Hence:

5x + 7y = 96...... Equation 1

At the same store a second customer paid $8 less than the first customer for 4 large candles and 8 smal candies

Hence:

4x + 8y = $96 - $8

4x + 8y = 88..... Equation 2

The system that could be used find the price in dollars of each large candle, x, and each small candle, Y is given as:

5x + 7y = 96...... Equation 1

4x + 8y = 88..... Equation 2

multiple of 3 and 5 less than 47 but greater than 42....

Answers

Answer:

Step-by-step explanation:

45 > 42 but < 47 and it's a multiple of 3 and 5

EC - The ratio of three numbers is 2:7:1.
The sum of the numbers is 30. What are the
three numbers?

Answers

Answer: 6, 21, 3

Step-by-step explanation:

2:7:1

Also, 2x 7x and 1x or just x

2x+7x+x = 30

10x = 30

x=3

So the three numbers: 2(3):7(3):1(3) OR 6:21:3

find the slope of the line that contains (-2,-2) and (-10,-9)

Answers

Answer:

[tex] \huge \frac{7}{8} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]

We have the final answer as

[tex] \frac{7}{8} \\ [/tex]

Hope this helps you

Answer:

7/8

Step-by-step explanation:

The length l of a rectangle is decreasing at a rate of 3 cm/sec while the width w is increasing at a rate of 3 cm/sec. When l=5 cm and w=12 cm, find the rates of change of the area, the perimeter, and the lengths of the diagonals of the rectangle. Determine which of these quantities are increasing, decreasing, or constant.
a) The rate of changes of the area of the rectangle is _______ cm^2/sec
Is the area increasing, decreasing, or constant?
b) The rate of change of the perimeter of the rectangle is ____ cm/sec.
Is the perimeter increasing, decreasing, or constant?
c) The rate of change of the length of the diagonals of the rectangle is ____ cm/sec.
Is the length of the diagonals increasing, decreasing, or constant.

Answers

Answer:

1) dA/dt = -21 cm²/s and Area is decreasing

2)dP/dt = 0 and perimeter is constant

3) dD/dt = 21/13 cm/s and diagonal is increasing

Step-by-step explanation:

We are given that;

length l of a rectangle is decreasing at a rate of 3 cm/sec.

Thus, dl/dt = -3 cm/sec

Also, the width w is increasing at a rate of 3 cm/sec. Thus;

dw/dt = 3 cm/sec

When l=5 cm and w=12 cm;

A) Area is given by the formula;

A = lw

The rate at which area is increasing is;

dA/dt = l(dw/dt) + w(dl/dt)

Plugging in the relevant values;

dA/dt = 5(3) + 12(-3)

dA/dt = 15 - 36

dA/dt = -21 cm²/s

This is less than 0.thus, A is decreasing.

B) Formula for perimeter is;

P = 2l + 2w

rate of change of perimeter is;

dP/dt = 2(dw/dt) + 2(dl/dt)

Plugging in the relevant values, we have;

dP/dt = 2(-3) + 2(3)

dP/dt = 0

Thus,Perimeter is constant

C) the length of the diagonal of a rectangle is given by;

D = √(w² + l²)

Rate of change of diagonal is;

dD/dt = [2w(dw/dt) + 2l(dl/dt)]/(2√(w² + l²))

2 will cancel out in numerator and denominator to give;

dD/dt = [w(dw/dt) + l(dl/dt)]/(√(w² + l²))

Plugging in the relevant values gives;

dD/dt = [12(3) + 5(-3)]/(√(12² + 5²))

dD/dt = (36 - 15)/13

dD/dt = 21/13 cm/s

This is greater than 0.

Thus, diagonal is increasing.

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