The population of a town can be modeled using the formula P=20,000e^0.02t , where t is the number of years after 2012 and P is the town's population. Which of the following equations can be used to find the number of years after 2012 that the population will double to 40,000?

Answers

Answer 1

Answer:

t= ((ln*2)/(0.02)

Step-by-step explanation:

plug 40000 in for P and solve for t

40000=20000e^0.02t

-divide both sides by 20000: 2=e^0.02t

-in order to cancel out e, multiply both sides by the natural log (ln)

ln(2)=0.02t

-divide 0.02 on both sides to get t by its self

Answer: t = ((ln(2)/(0.02))


Related Questions

The volume formula for a right pyramid is V=
= Bh. What does Brepresent?
O A. Area of the base
B. Perimeter of the base
C. Length of the base
O D. Volume of the base

Answers

Answer:

A.Area of the base

Step-by-step explanation:

these is obtained by multiplying the length and width of the base to get the area of the base

The variable B in the Formula is area of Base.

What is Volume?

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Pyramid volumes are measured by how much space they take up or by how many unit cubes can fit inside of them. A pyramid is a polyhedron because it has polygonal faces.

As, Volume of pyramid = (1/3) (Bh), where

B = Area of the base of the pyramid

h = Height of the pyramid.

So, B in the Formula is area of Base.

Learn more about volume here:

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15 points
Help!!


If Sue worked 7 1/4 hours on Monday, 3 hours on Tuesday, 6 3/4 hours on Wednesday, 8 hours on Thursday, and 5 hours on Friday, calculate her weekly wage at $4.10 per hour

Answers

Answer:

$123

Step-by-step explanation:

Let's find the total amount of hours Sue worked. To do so, we'll do 7.25 + 3 + 6.75 + 8 + 5 = 30 total hours. Now, we'll multiply 4.1 by 30 because she receives $4.10 for every hour. 4.1 * 30 = $123. Hope this helps!

$123 if u add all the hours together u end up getting 30. 30 multiplied by 4.1 is 123

​A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age.


x1: Rate of hay fever per 1000 population for people under 25



​144 89 119 119 125 136 91 109 111 108 116 123 120 121 115 123



A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old.



x2: Rate of hay fever per 1000 population for people over 50



​109 109 90 81 85 94 92 106 110 89 87 94 100 90



Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use α =0.05. If , will you reject or fail to reject the null hypothesis? Are the data statistically significant at confidence level α?

​​

a
​Since the P-value is less than the level of significance, the data are statistically significant. Thus, we fail to reject the null hypothesis.
b
​Since the P-value is greater than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.
c
​Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we reject the null hypothesis.
d
​Since the P-value is less than the level of significance, the data are not statistically significant. Thus, we fail to reject the null hypothesis.
e
​Since the P-value is less than the level of significance, the data are statistically significant. Thus, we reject the null hypothesis.

Answers

Answer:

x8 9x

Step-by-step explanation:

what is the solution to the equation -3d/d^2-2d-8+3/d-4 = -2/d+2
A. d = -4 and d = 2
B. d = -2 and d = 4
C. d = 1
D. d = 2

Answers

I’m sorry if I’m not correct but I think it’s b

Answer: its C d=1

Step-by-step explanation:

im right

The solution to ? Is m= 1.

A). m + 2 = 1

B). m + 1 = 3

C). m + 1 = 2

D). m - 2 = 1

Answers

Answer: C

Step-by-step explanation:

not A because m=1 so 1+2 doesn’t equal 1.

Not B because m=1 and 1+1=2 not 3.

Not D because m=1 and 1-2= a negativ.

C because m=1 and 1+1=2 like shown for C.

Sorry if I’m wrong.

Will mark brainliest PLEASE HELP!!! 20 points

The coordinates of point A are (6,2).
The coordinates of point B are (2, 6).
Line AB is transformed to form line A'B' shown in the graph:





What is the transformation of line AB that results in line A'B'?
Line AB is

A reflected across the y-axis
B reflected across the x-axis
C rotated 180°
D translated

Answers

Answer:

B. reflected across tge x axis

Answer:

The answer is B

Step-by-step explanation:

josh allowance is m cents per week. Represent the number of dollars he gets in a year.
a) 3m/25
b) 1200m
c) 13m/25
d) 25m/13

Answers

Answer:

The number of $ Josh receives in a year should be 13m / 25

Step-by-step explanation:

This is quite a simple a question.

Consider how many weeks there are in a year. Well there are about 52 weeks, you can say. Knowing that, you could apply the following conversion factor -

[tex]\frac{52 ( weeks ) }{ 1 ( year )}[/tex] ... at the same time we have to consider how many cents there are in a dollar. There are 100 cents, giving us the conversion factor [tex]\frac{1 ( dollar )}{100 ( cents )}[/tex]. Therefore, Josh's allowance should be, after 1 year -

m [tex]*[/tex] [tex]\frac{52}{1}[/tex] [tex]*[/tex] [tex]\frac{1}{100}[/tex]

= [tex]\frac{52m}{100}[/tex] - Which, simplified, = [tex]\frac{13m}{25}[/tex].

Our solution here is option c, rather option d.

The number of dollars he gets in a year is 13m/25 option (c) is correct if josh allowance is m cents per week.

What is unit conversion?

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.

We have:

Josh's allowance is m cents per week.

As we know,

Total number of weeks in a year = 52 weeks

In 1 dollar there are 100 cents

josh's allowance is m cents per week

The number of dollars he gets in a year = (52/100)m

After simplification:

The number of dollars he gets in a year = 13m/25

Thus, the number of dollars he gets in a year is 13m/25 option (c) is correct if josh allowance is m cents per week.

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Two cars are travelling from Toronto to Quebec. Car A left Toronto at 8 a.m. and is moving with an average speed of 70 km/h. Car B left Toronto at 10 a.m. and its average speed is 90 km/h. How many hours will it take for car B to catch car A?

(please show all your work Let, So, Equation and Solution and Therefore Statement)

Answers

Answer:

It'll take 7 hours for the car B to cath up to A

Step-by-step explanation:

In order to solve this problem we can write the equation from the distance of each car. Assuming that t = 0 happens when the second car leaves Toronto. When the second car leaves Toronto, the first one is on the road for two hours already, thefeore it travelled a total of:

distance = speed*time = 70*2 = 140

We have:

Car A:

x(t) = 70*t + 140

Car B:

x(t) = 90*t

We now need to find the value of "t" that makes x(t) the same for both cars:

90*t = 70*t + 140

20*t = 140

t = 140 / 20 = 7 h

This table shows covalent compounds being investigated by five scientists. Each scientist wants to give a chemical name to the compound.




Which scientist(s) incorrectly named her compound? Check all that apply.


Adele

Ethel

Kate

Audrey

Halley

Answers

Answer:

Adele

Ethel

Kate

Audrey

Step-by-step explanation:

i know that oxygen is correct so thats my answe

Answer:

Audrey and Ethel

Step-by-step explanation:

It was on edge 2023

A line with a slope of 7 and an x-intercept of 4 passes through which of the following points?

A. (4,9)
B. (-3,7)
C. (3,-7)
D. (3,7)

Answers

A I think but I’m not postitive

which statements about the graph of the function y=(1/3) are true ?

Answers

Answer:

it has zero slope

y intercept is 1/3

graph is parallel to x-axis

Which expression is not equivalent to the other expressions?
will mark as brainliest

A) -6(2 x - 4)

B) -(12 x - 6) + 18

C) -3(4 x - 3) + 15

D) -4(3 x + 6)

Answers

Answer:

D) -4(3x + 6)

Step-by-step explanation:

Check:

Distribute the term outside the parenthesis (directly next to it) to all terms within the parenthesis:

A) -6(2x - 4) = (-6 * 2x) + (-6 * -4) = -12x + 24

B) -(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24

C) -3(4x - 3) + 15 = (-3 * 4x) + (-3 * -3) + 15 = -12x + 9 + 15 = -12x + 24

D) -4(3x + 6) = (-4 * 3x) + (-4 * 6) = -12x - 24

~

need answer ASAP
find the volume of a cone with a base radius of 3 cm and a height of 10cm
use the value 3.14 for pie and do not round ​

Answers

Answer:

V = 94.2 [tex]cm^{3}[/tex]

Answer: 94.25 cu. cm

Step-by-step explanation:

V=πr2h/3

= 3.14 x 9 x 10/3

Colin spends
3
4
of his wages on rent and
1
8
on food. If he makes £192 per week, how much money does he have left?

please help me

Answers

Answer:

£24

Step-by-step explanation:

3/4 + 1/8 = 7/8 of his money spent

8/8 - 7/8 = 1/8 of his money left

1/8 times £192 = £24 left

circumference 17 inches Use 3.14 for pi

Answers

Answer: (BRAINLIEST PLEASE)

53.4 m

Step-by-step explanation:

Write down the formula for finding the circumference of a circle using the diameter. The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.

Answer:

53.4 m

Step-by-step explanation:

please name me branliet i really need it

Identify the function represented my the graph

Answers

Answer:

b

Step-by-step explanation:

PLEASE HELP ME OUT! i need to get this!

Answers

Answer:

C

Step-by-step explanation:

Andrea bought 12 bagels and 10 muffins at the bakery. of these items 2/3 of the bagels were multigrain and 3/5 of the muffins were bran muffins. How many multigrain bagels did Andrea buy and how many bran muffins did Andrea buy

Answers

Answer:

She bought 8 multigrain bagels and 6 bran muffins

Step-by-step explanation:

If it says of, then it means multiply.

So it is 2/3 of 12 bagels, which is 2/3 x 12 which is 8

If it says 3/5 of 10 muffins, it is 3/5 x 10 which is 6.

Use the data set $19, $18, $15, $17, $19, $12, $19, and $15. Which measure of center would you use to convince people that the prices are high?
F. mean G. median
H. mode
I. none of these

Answers

Answer:

H. Mode: 19

Step-by-step explanation:

12, 15, 15, 17, 18, 19, 19, 19

Mean: 12 + 15 + 15 + 17 + 18 + 19 + 19 + 19 = 134/8 = 16.75

Mode: 19

Median: 17.5

What are the values of a and b in the figure?

Answers

Step-by-step explanation:

so if you refer to my working out you'll see how I got the answers

a = 76

b= 124

ANSWER QUICK. I NEED ANSWER IN 5 MINUTES.​

Answers

Answer:

Plug the ordered pair (2,5) into the given equation, if it makes the equation true, then it is a solution.

Step-by-step explanation:

y = 2x + 3

substituting :  5 = 2(2) + 3

                       5 = 4 + 3

                        5 = 7, this is false, therefore (2,5) is NOT a solution

Answer:

A linear equation's solution would be a coordinate when the value of x and y satisfies the equation.

For Example:

[tex](1,7)[/tex] will be a solution to the equation [tex]y=3x+4[/tex], because if you replace x and y with one and seven it satisfies the equation.

[tex]y=3x+4\\y=7 \\x=1\\\text {Solve: }\\7=3(1)+4\\\rightarrow3*1=3\\7=3+4\\\boxed {7=7}[/tex]

[tex](1,7)[/tex] also lies on the equation's line.

Brainilest Appreciated.

A circle has a radius of 3. An arc in this circle has a central angle of 340°. What is the length of the arc?

Answers

Answer:

hi

Step-by-step explanation:

You have a job at McDonald's that pays $6.25 working part-time. Write and solve an
inequality to find out how many hours you must work to earn at least $250.

Leave an explanation thx!​

Answers

Answer:

40 hours of hard work

Step-by-step explanation:

250 / 6.25 = 40

6.25(40) = 250

Find the area of the figure.

Answers

Answer: 13300

Step-by-step explanation:

A pair of snow boots at an equipment store in Big Bear that originally cost $80 is on sale for $56. What is the rate of discount?

Answers

Divide the sale price by the original price:

56 / 89 = 0.7

Multiply by 100:

0.7 x 100 = 70%

The sale price is 70% of the original price, so the discount would be 30% (100-70= 30)

1.72 2.144 3.720 4.1440

Answers

Answer:

1. 72

Step-by-step explanation:

multiply all the numbers you have

S = {2, 4, 6, 8, 10
T = {1, 2, 3, 4, 5)
What is the probability that a number selected at random from set S above will also be in set T?
O 0.1
O 0.2
O 0.4
O 0.5

Answers

Answer:

0.2

Step-by-step explanation:

the total is 10

they said that it has to be the same group as S and T

the only numbers that are in the same groups is 2 and 4

the fraction is then 2/10

which is .2

correct me if i am wrong

The probability that a number selected at random from set S above will also be in set T will be 0.2 hence, option (B) will be correct.

What is probability?

The probability of an event occurring is defined by probability.

Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.

Do not take underestimate probability it has several uses in daily life whether forecasts and like that.

In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.

Given that the S = {2, 4, 6, 8, 10 and T = {1, 2, 3, 4, 5)

Now there are a total of 10 numbers. The common number among S and T are 2 and 4  only so

Probability = 2/10 = 0.2 hence it will be correct.

For more information about the probability

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If you multiply x to the second power by x to the seventh power, what is the product?

Answers

Answer:

x to the ninth power

Step-by-step explanation:

if the radius of the circular region is 5 yards what was the total length of the border to the nearest tenth of a yard

Answers

Answer: 31.4

Step-by-step explanation:

The circumference formula is 2πr

In this case, the r is equal to 5

5×2 is 10

10π

Plug that into a calculator

31.4

I need someone help ASAP

Answers

Answer:

The first one is correct

8/3

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