Exponential Growth/Decay
Plz help!!!

Exponential Growth/Decay Plz Help!!!

Answers

Answer 1

Answer:

a) 82.

b) So a growth factor of 0.025

c) 2.5%.

d) f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.

Step-by-step explanation:

Exponential equation of population growth:

The exponential equation for population growth has the following format:

[tex]f(x) = x(0)(1+r)^x[/tex]

In which x(0) is the initial value and r is the growth factor, as a decimal.

In this question:

In x years after 2021:

[tex]f(x) = 82(1.025)^x[/tex]

a)

This is f(0). So

[tex]f(0) = 82(1.025)^0 = 82[/tex]

So 82.

b)

We have to find r. So

[tex]1 + r = 1.025[/tex]

[tex]r = 1.025 - 1 = 0.025[/tex]

So a growth factor of 0.025.

c)

Growth factor multiplied by 100%.

So 0.025*100% = 2.5%.

d)

f(5) = population in 5 years after January 1st 2021, that is, January 1st 2026.

[tex]f(5) = 82(1.025)^5 = 93[/tex]

f(5) = 93, which means that the population of the island on January 1st 2026 is of 93.


Related Questions

which expressions are equivalent to -3x+6v+7x14?

Answers

Between the 4 and the 7 is it a multiplication or an X?

If the multiplication sign, this is the solution

[tex] - 3x + 6v + 7 \times 14 \\ = 6v - 3x + 98[/tex]

Convert.
2 mi = _ yd

Answers

Answer: 2 mi = 3520.00 yd

Answer:

2 mi= 3520 yd

Step-by-step explanation:

To convert a mile measurement to a yard measurement, multiply the length by the conversion ratio.

1 mile is equal to 1,760 yards

multiply the length value by 1760 to get your answer

2 x 1760 = 3520

Sara can weed a garden in 30 minutes. When her brother Hamdan helps her, they can weed
the same garden in 20 minutes. How long would it take Hamdan to weed the garden if he
worked by himself?

Answers

Step-by-step explanation:

Hello!The answer is:

It will take 42.35 minutes to weed the garden together.

Why?

To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.

So, calculating we have:

Laura's rate:

\frac{1garden}{80minutes}

80minutes

1garden

Husband's rate:

\frac{1garden}{90minutes}

90minutes

1garden

Now, writing the equation we have:

Laura'sRate+Husband'sRate=CombinedRateLaura

sRate+Husband

sRate=CombinedRate

\frac{1}{80}+\frac{1}{90}=\frac{1}{time}

80

1

+

90

1

=

time

1

\frac{1*90+1*80}{7200}=\frac{1}{time}

7200

1∗90+1∗80

=

time

1

\frac{170}{7200}=\frac{1}{time}

7200

170

=

time

1

\frac{17}{720}=\frac{11}{time}

720

17

=

time

11

\frac{17}{720}=\frac{1}{time}

720

17

=

time

1

\frac{17}{720}*time=1

720

17

∗time=1

time=1*\frac{720}{17}=42.35time=1∗

17

720

=42.35

Hence, we have that it will take 42.35 minutes to weed the garden working together.

Have a nice day!

a- You roll a regular die (one dice). What is the probability of rolling a 4? SIMPLIFY,
IF NECESSARY.

Answers

Answer:

1/6th chance

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

there's only one 4 on a normal 1 to 6 die

Maya and Zack built the tent below in their backyard how much material did they use to build the tent

Answers

Answer:

[tex]Area = 279ft^2[/tex]

Step-by-step explanation:

Given

See attachment for tent

Required

The material needed

This implies that we calculate the surface area of the tent.

This is calculated as:

Area = 2 * Area of Congruent triangles + 2 * Area of Congruent Rectangles + Area of Base Rectangle

So, we have:

[tex]Area = 2 * \frac{1}{2} * 6 * 8 + 2 * 10.5 * 7 + 10.5 * 8[/tex]

[tex]Area = 48 + 147 + 84[/tex]

[tex]Area = 279ft^2[/tex]

Help please just write the ratio like #1 300: ?

Answers

1) 300:1500 = 1:5
2) 25:31
3) 9:21 = 3:7
4) 5:21
5) 5:13
6) 15:14

can you help me solve for x.​

Answers

Answer:

x=4

Step-by-step explanation:

Please can someone help me I’m confused and lost

Answers

Answer: the answer is the third one

Step-by-step explanation:

well first of all how u get 3is because u have to divide 6 by 2 or u have todo the square root of 6 and 2 and u get 3

We can use the formula, density = mass over volume, to find the density of a substance. A square metal plate has a density of 10.2 grams per cubic cm, and mass of 21.93 grams. Calculate the volume of the plate.​

Answers

Answer:

2.15cm^3

Step-by-step explanation:

V = Mass / Density

21.93g / 10.2g/cm^3

2.15cm^3

PLEASE HELP
Find the measure of angle.

Answers

Answer:

39

Step-by-step explanation:

180-73-68

What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry

Answers

Answer:

[tex]7n−13[/tex]

Step-by-step explanation:

[tex]4n+3(n−5)+2[/tex]

[tex]4n+3n+3 \times (−5+2)[/tex]

[tex]4n+3n−15+2[/tex]

[tex]7n−15+27n-15+2[/tex]

[tex]7n−13[/tex]

Hope it is helpful....

Convert the following angle from degrees to radians. Express your answer in simplest
form.
255°

Answers

Answer:

(17/12)π radians

Step-by-step explanation:

π radians = 180º

255 * (π/180) = (17/12)π

|x| > - 16 what is the value of x

Answers

9514 1404 393

Answer:

  x ∈ all real numbers

Step-by-step explanation:

The given inequality is true for any value of x. The absolute value of a quantity is always greater than any negative number.

Please help me!!!

Find the measure of angle x in the figure below:

Answers

Answer:

Step-by-step explanation:

48° is the answer to the question

7+2x/3=5
what is x ?

Answers

Answer:

x = -3

Step-by-step explanation:

7 + 2x/3 = 5

7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )

21 + 2x = 15

2x = 15 - 21

2x = -6

x = -6/2

x = -3

Answer:

X=4

Step-by-step explanation:

Times both side by 3

then you get 7+2x=15

then minus 7 from both sides

2x=8

divide by 2

x=4

help it's due tomorrow

Answers

Answer:

a) 42

b) 42/120

Step-by-step explanation:

Oof, I was just about done with answering this question but I deleted it all by accident so I had to rewrite it.

Anyways, the first part of it is correct.

The second part of it is a bit harder. See, this is conditional probability, which uses the equation that I've attached below.

For Event A, you'll need the total boys / total students:

0.44166

For Event B, you'll need the total counters / total students:

0.83333

Now, plug these values into the equation. The weird U thingy is called "Union". It basically means "and".

P(A and B) / P(B)

P(0.44166 * 0.8333) / P(0.8333)

0.36803 / 0.8333

This is about 0.44165, or 53/120

Find the value of x. Round your answer to the nearest tenth.

Answers

Answer:

x = 9.7

Step-by-step explanation:

Reference angle (θ) = 68°

Opposite = 24

Adjacent = x

Apply, the trigonometric function, TOA which is:

[tex] tan (/theta) = \frac{Opp}{Adj} [/tex]

Plug in the values

[tex] tan 68 = \frac{24}{x} [/tex]

Multiply both sides by x

[tex] x*tan 68 = 24 [/tex]

Divide both sides by tan 68

[tex] x = \frac{24}{tan 68} [/tex]

x = 9.69662942

x = 9.7 (nearest tenth)

Help&Show ur work plz<3

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The chords subtended by equal arcs are equal.

Therefore,

[tex]2x + 4 = 18[/tex]

[tex]2x = 14[/tex]

[tex]x = 7[/tex]

Hence, value of x = 7

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Can someone pls help me 26 x 2/3

Answers

Answer:

52/3

Pretty simple just multiply 26 to the 2 and put the 3 to the bottom.

Answer:

C, and D are both correct options.

Step-by-step explanation:

Have a nice day! :-)

Shelia is baking a few cakes for the bake sale for her school. Each cake requires 5/6 cups of sugar. How many cakes can she bake if she has 7 1/2 cup of sugar?

Answers

7 1/2 / 5/6
15/2 / 5/6
15/2 x 6/5
90/ 10
= 9

9 cups can be baked if she has 7 1/2 cup of sugar in

solve for ,"a" in 3(a+2)/4 +3/2=0​

Answers

Answer:

a=-4

Step-by-step explanation:

3(a+2)=-6

3a+6-6=-6-6

3a/3=-12/3

At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5. If one ticket number is chosen randomly for a prize, what is the probability that every number on the ticket is even

Answers

Answer:

"0.0041" is the right answer.

Step-by-step explanation:

According to the question,

The total possible number of tickets will be:

= [tex]6^5[/tex]

= [tex]7776[/tex]

here,

The total even numbers are:

= [tex]2[/tex]

i.e., (2, 4)

now,

With even numbers, the total number of tickets are:

= [tex]2^5[/tex]

= [tex]32[/tex]

hence,

The probability will be:

= [tex]\frac{32}{7776}[/tex]

= [tex]0.0041[/tex]

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I

At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.

If one ticket number is chosen randomly for a prize.

Then the probability that every number on the ticket is even will be

The total possible number of tickets will be

⇒ 6⁵ = 7776

The total even numbers will be

⇒ 2 {2, 4}

With even numbers, the total number of tickets will be

⇒ 2⁵ = 32

Then the probability will be

[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

A survey of 35 people was conducted to compare their self-reported height to their actual height. The difference between reported height and actual height was calculated. You're testing the claim that the mean difference is greater than 0.7. From the sample, the mean difference was 0.95, with a standard deviation of 0.44. Calculate the test statistic, rounded to two decimal place

Answers

Answer:

The test statistic is t = 3.36.

Step-by-step explanation:

You're testing the claim that the mean difference is greater than 0.7.

At the null hypothesis, we test if the mean difference is of 0.7 or less, that is:

[tex]H_0: \mu \leq 0.7[/tex]

At the alternate hypothesis, we test if the mean difference is greater than 0.7, that is:

[tex]H_1: \mu > 0.7[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

A survey of 35 people was conducted to compare their self-reported height to their actual height.

This means that [tex]n = 35[/tex]

From the sample, the mean difference was 0.95, with a standard deviation of 0.44.

This means that [tex]X = 0.95, s = 0.44[/tex]

Calculate the test statistic

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{0.95 - 0.7}{\frac{0.44}{\sqrt{35}}}[/tex]

[tex]t = 3.36[/tex]

The test statistic is t = 3.36.

I NEED HELP ASAP: Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes.

A' ( ___, ___ )
B' ( ___, ___ )
C' ( ___, ___ )
D' ( ___, ___ )

Answers

Answer:

A - 1,4

B -5,8

C -5,4

D -4,2

Step-by-step explanation:

im not shure how to explain

Answer:

A' ( -1, -4 )

B' (-5, -8 )

C' (-5, -4 )

D' ( -4, -2 )

Step-by-step explanation:

I took the test

A baseball team has won 50 games of 75 played. The team has 45 remaining games to play. How many of the remaining games must a team win in order to win 60% of the total games played during the season?

A. 20
B. 21
C. 22
D. 23

Answers

Answer:

C. 22

Step-by-step explanation:

The team played 75 games and 45 remaining.

75+45=120

60% of 120 = 0.6×120= 72

The team must win 72 games and they already won 50 games so the team has to win 72-50=22 games more.

Helppppp meeeeeeee plsssssssss

Answers

Answer:

X4

Step-by-step explanation:

The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is generated in the city. The study included 144 residents whose mean number of pounds of trash generated per person per week was 34.5 pounds and the standard deviation was 7.9 pounds. Round answers to 3 decimal places where possible. a. To compute the confidence interval use a

Answers

Answer:

32.966 ; 36.034)

Step-by-step explanation:

Given :

Sample size , n = 144

Mean, x = 34.5

Standard deviation = 7.9

The confidence interval :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

Zcritical at 98% = 2.33

Margin of Error = 2.33 * 7.9/√144 = 1.534

Lower boundary = 34.5 - 1.534 = 32.966

Upper boundary = 34.5 + 1.534 = 36.034

(32.966 ; 36.034)

someone help me pleaseeee

Answers

Answer:

huuu wate a few minutes

I will help you

The sum of three numbers is 910. One of the numbers, x, is 60% greater than the sum of the other two numbers. What is the value of x?

Answers

Answer:

I don't know I'm sorry I tried to found answers but I couldn't

5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN

Answers

Answer:

C=6.6666666666666666666666666

Answer:

[tex]D.\frac{2}{6}[/tex]

Step-by-step explanation:

√15 = 3.87298334621

11/25 = 11 ÷ 25 = 0.44

3/20 = 3 ÷ 20 = 0.15

2/6 = 2 ÷ 6 = 0.33333333333

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