The population of a town is growing uninhibited at a rate of 1% per year. How long would it take the population to double? Round to the nearest tenth.

a. 30.1 years
b. 69.3 years
c. 54.6 years
d. 10.2 years

Answers

Answer 1

Answer:

69.3 years

Step-by-step explanation:

use the equation 2=e^0.01t, then solve for t.

Answer 2

The required time at which the population of the town gets doubled is  69.3 years.

Given that,
The population of a town is growing uninhibited at a rate of 1% per year. how long would it take the population to double is to be determined.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
For exponential growth,
the equation is given as,
a = A (1 + 0.01)ˣ
For a = 2A, time x is to be determined,
2A = A (1.01)ˣ
1.01ˣ = 2
x = log2/log1.01
x = 69.3 years

Thus, the required time at which the population of the town gets doubled is  69.3 years.

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Related Questions

Simplify sin^2y/sec^2 y−1 to a single trigonometric function

Answers

Answer:

[tex] \frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 } = { \cos }^{2} y[/tex]

Step-by-step explanation:

We know that [tex] { \tan }^{2} y = { \sec }^{2} y - 1[/tex]

Also , [tex] { \tan}^{2} y = \frac{ { \sin }^{2} y}{ { \cos }^{2}y } [/tex]

So ,

[tex] \frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 } = \frac{ { \sin}^{2} y}{ { \tan }^{2} y} = \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } } = { \cos }^{2} y[/tex]


Which of the following expressions represents the distance between -2 and 1?

Answers

The distance between -2 and 1 is -1

The steps of the scientific method are listed below. Check the box next to each step of the scientific method that you think communication plays an important role in.

Answers

Answer: all of them

Step-by-step explanation:

Help me please
I’ll make it brainliest !!!!!

Answers

Answer:

The answer is the first option

Step-by-step explanation:

63 = 7(c + 2)

so c = what

Answers

Answer:

c=7

Step-by-step explanation:

63=7c+14

49=7c

7=c

c=7

I need the simplified expression for this please ​

Answers

when you simplify you’ll get 4x6/2 next you’ll simply again and get 24/2 and then your final answer should be 12.

Answer:

4x + 8

Step-by-step explanation:

1. 4(2x + 4) Multiply 2x by 4 to get 8x. Multiply 4 by 4 to get 16. You should now have the equation 8x + 16 / 2.

2. Divide the 8x and 16 by 2. You should get 4x and 8. (4x + 8).

— 3 + 5 + 6g = 11 – 3g​

Answers

Given :  −3 + 5 + 6g = 11 − 3g

To find :  The variable g

Solution:

Isolate and solve for the variable g in the equation −3 + 5 + 6g = 11 − 3g

Steps:

−3 + 5 + 6g = 11 − 3g

2 + 6g = 11 − 3g

6g = −3g + 9

9g = 9

g = 1

Hence,

Answer: g = 1

How do you do 17-24 and what are the answers

Answers

Answer:

-7

Step-by-step explanation:

:))

What Multiple Of 7 is less than 45 but greater than 40? A.41 B. 42 C.43 D.44

Answers

Answer:

The correct answer is B, 42.

Step-by-step explanation:

In order to know the answer to the given question, the following logical reasoning has to be made:

The multiple number of 7 that is less than 45 but greater than 40 is 42. This is so since 42 is the result of multiplying 7 by 6 (7 x 6 = 42). In turn, 7 multiplied by 5 is equal to 35 (7 x 5 = 35), which does not exceed the number 40, while 7 multiplied by 7 is equal to 49, which is not less than 45 (7 x 7 = 49).

ASAP thank you Thank everyone

Answers

Answer:

she worked a total of 20 hours

Answer:

h = 21

Step-by-step explanation:

10h + 15 = 225

10h + 15 - 15 = 225 - 15

10h = 210

10 ÷ 10h = 210 ÷ 10

h = 21

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/heur at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before
homecoming.

Answers

Answer:

he would need to mow lawns for 8 hours

Step-by-step explanation:

Please Help :) Thanks!​

Answers

Answer:

it's C

Step-by-step explanation:

You have to plug in the inputs into the n variable to get your answer/output.

Answer:

Step-by-step explanation:

f(n)= 3n+2

hence

1) for n= -2  

f(-2) = 3(-2)+2 =-6+2= -4

2) for n= -1

f(-1) = 3(-1)+2 =-1

3) for n=0

f(0)=3(0)+2 = 2

4) for n=1

f(1) =3(1)+2 =5

5) for n=2

f(2)=3(2)+2 =8

Hence  "C" option is correct

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Simplify the expression 8k + 3m - 2k - 8m.

Answers

Answer:

6k-5m

it is answerm.........

Answer:

6k - 5m

Step-by-step explanation:

8k - 2k =6k

3m - 8m = -5m

put the terms together

Four more than twice a number is the same as 8 less than three times the same
number. What is the number?

Answers

Answer:

Step-by-step explanation:

How to solve:

5 1/2 + x/6 ≤ 3 1/3

Answers

Answer:

the answer is x ≤ -91

Step-by-step explanation:

It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:

Answers

Answer:

The equations are not given but the clue to your answer is given below:

Step-by-step explanation:

So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.

To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:

1. The maximum number or power that any variable in a linear equation is raised to is 1.

Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.

2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.

Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.

3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.

Example: 2x + 6y = 43z is NOT a linear equation.

Is 3/7 closet to 0, 1/2 or 1

Answers

Answer:

1/2

Step-by-step explanation:

if you divide them you get about 42 and after you round it,it's closer to 50%

Answer:

1/2 is closest to 0

Step-by-step explanation:

Simplify the ratio 9:12

Answers

the simplified ratio of this is:
3:4
Hope this helps have a good day!!! :)))

Which ordered pair would be a solution of the equation y=-1/4x+6?

Answers

Answer:

1/4 and 6

Step-by-step explanation:

Simplify the expression
| -15 -9 |

Answers

Answer:

24

Step-by-step explanation:

-15-9 is -24 but you need the absolute value so u turn it positive

I hope that this heps you out...

Answer:

-24

Step-by-step explanation:

Hey there! when there are two negative numbers like in this equation we add them and the number will be negative.

let's solve this expression

-15 -9 = -24

Ava planned to paint 5 flowerpots. She painted 4 already. What percentage of her work is complete?
O 75%
O 80%
O 20%
O 50%

Answers

Answer:

80%

Step-by-step explanation:

4/5 = .8

.8 = 80%

Answer: Second option- 80%

HELP ME PLEASE!!! this dosent make sense

Answers

Answer:

I think it would be D not sure tho hope this is helpful

Answer:

B

Step-by-step explanation:

The correct answer is B because in A and C, the gray area is not under the blue line since y has to be less than the equation. It is not D because the equation does not have a negative slope and in this inequality, it is also not equal to. Because the line in D is not a dotted line, then you know it is also equal to.

Note: Use system of equations to solve word problems

The length of a garden is 5 feet greater than 2 times the width. The perimeter of the garden is 76 feet. What are the length and width of the garden?​

Answers

Answer:

length is 32 and width is 6

Step-by-step explanation:

12w + 4 = 76

12w = 72

w = 6

6 time 5 is 30 plus 2 is 32

Calculate and express your answer in decimal form: 1/2 x 17 *

Answers

Answer:

8.5

Step-by-step explanation:

Express (x+8)squared as a trinomial in standard form

Answers

Step-by-step explanation:

(x + 8)²

= (x + 8)(x + 8)

= x² + 2(x)(8) + 8²

= x² + 16x + 64.

The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.

What is a polynomial?

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

⇒ (x + 8)²

Simplify the expression, then we have

⇒ (x + 8)²

⇒ x² + 8² + 2·8·x

⇒ x² + 16x + 64

The binomial expression (x + 8)² is converted into trinomial in standard form x² + 16x + 64.

More about the polynomial link is given below.

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6=a/4+2 help me please please thank you

Answers

Answer:

[tex] \boxed{a = 16}[/tex]

Step-by-step explanation:

[tex]if \: the \: question \: is \to \: 6= \frac{a}{4} +2 \\ 6(4) = \frac{a}{4} (4) + 2(4) \\ 24 = a + 8 \\ 24 - 8 = a \\ \boxed{a = 16}[/tex]

Cory and Everett have collected model cars since the third grade. Cory has 80 model cars in his collection, which is 25% more than Everette has. How many model cars does Everette have?

Answers

Answer:

64 model cars.

Step-by-step explanation:

What we know.

Cory has 80 cars in his collection.

That is 25% more than Everett has.

We can deduce that the equation would be c = 1.25e.

So, how do we figure out e?

Well, 1.25 is the same as 5/4.

So, find the reciprocal of 5/4 and multiply by 80.

4/5 * 80 = e

64 = e

Everett has 64 model cars in his collection

QUICK BRAINLIEST GETS 40 POINTS

The age of 10 factory workers is shown in the table. If a 58-year-old worker is added, by how much will this increase the median age of the workers?

Answers

can u add the table so its easier

Answer:

1.6 years

Step-by-step explanation:

plz mark brainlyiest

What is the value of the expression below when w=3w=3?
10w^2 +9w-2
10w
2
+9w−2

Answers

Answer:

i dont know sorry

Step-by-step explanation:

but hi :3 how are you

An audio cable is 14.7 dm long. How long is the cable in meters?

Answers

Answer:

1.47

Step-by-step explanation:

It's quite easy to calculate, one decimeter is equal to 0.1 meters!

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