A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.

Answers

Answer 1

Answer:

Step-by-step explanation:

X = 1(1 - 0.02)ⁿ

X = 1(0.98)²⁰

X = 0.6676

67%

Answer 2

Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.

A decaying exponential function has the following format:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

A(t) is the initial value.r is the decay rate, as a decimal.

In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:

[tex]A(t) = A(0)(1 - 0.02)^t[/tex]

[tex]A(t) = A(0)(0.98)^t[/tex]

The fraction after 20 years is A(20), hence:

[tex]A(20) = A(0)(0.98)^{20}[/tex]

[tex]A(20) = 0.6676[/tex]

66.76% of the current amount will be present in 20 years.

A similar problem is given at https://brainly.com/question/14773454


Related Questions

plz help i only need this question who ever get its right will get 77 point

Answers

Answer:

Ok, so I think it's x= 2.5 and y= 306.1 plz forgive me if I'm wrong.

a square has an area of 64 square units. if it’s side were only half as long, what would it’s area be??

Answers

Answer:

16

Step-by-step explanation:

8x8 is 64, so half of 8 is 4 so 4x4 is 16

Write the ratio as a fraction: 630kilometers in 5hours. Simplify your answer.

___ km/hour

Answers

Answer:

126/1=126

Step-by-step explanation:

630:5 as a fraction would be 630/5.

630/5 simplified would be 126/1.

Hope this helps :)

Answer:

630:5 would be 126:1

Step-by-step explanation:

To solve this we would divide 630 by five giving us 126, and divide 5 by 5 giving us one

Now we have 126:1, or 126 km/hour

Evaluate (32 – 1)when z = 6

Answers

Answer:

17

Step-by-step explanation:

(3z - 1) when z = 6

Let's plug in 6 into the equation (3(6)-1)

Now we multiply the parenthesis (18-1)

Now we subtract (17)

So the answer is 17!

Raju has to grow 26 cm more to reach 3 m height. What is Raju's height in metres​

Answers

Answer:

2.74 m

Step-by-step explanation:

3 m to cm is 300.

Then, 300 cm - 26 cm = 274 cm.

You asked "What is Raju's height in METRES"

So, 274 cm to m is 2.74.

Hope you understand ^^

Answer:

2.74 m

Step-by-step explanation:

Converting centimeter to meter: 26 cm = 0.26 m

3 - 0.26 = 2.74 m


Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20

Answers

Answer: The Chocolate shop

Step-by-step explanation:

We should get the cost per one pack for each store.

For the Sweet Store we divide 3.00 by twelve for the cost of one which is:

3 divided by 12 = 0.25

One pack at a sweet store is $0.25

Now do the same for the other stores:

4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)

5.40 divided by 18 = 0.3

7.20 divided by 36 = 0.2

Sweet Store: one pack is $0.25

Delicious Treats: one pack is $0.21

Sugar Factory: one pack is $0.30

Chocolate Shop: one pack is $0.20

Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.

I need help I don’t understand this

Answers

Answer:

i need help I 6understand

b. 2x^2 + 15 _<13x solve polynomial inequality by factoring.​

Answers

Answer:

x<5   or  x<3/2

Step-by-step explanation:

2[tex]x^{2}[/tex]-13x+15<0

2[tex]x^{2}[/tex]-10x-3x+15<0

2x(x-5)-3(x-5)<0

(x-5)(2x-3)<0

x-5<0  or 2x-3<0

x<5  or  x<3/2

write this fraction as a decimal use bar notation if neccesary
3 15/44

Answers

Answer:

3.34

Step-by-step explanation:

First step: 3x44=132, 132+15=147. Then use 147 as numerator and 44 as denominator.

Second step: Divide 147/44= 3.3409090909091, round and get 3.34.

Hope this helps.

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Juan sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
352 visitors purchased no costume.
82 visitors purchased exactly one costume.
46 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.

Answers

Answer:

So we see it goes 1 to 2 or other number but we would have to look closely because less people more thing to buy so it will probably 10 or more

Answer:

Step-by-step explanation:

the answer is 0.44

Brian has half of his investments in stock paying a 5% dividend and the other half in a stock paying 9% interest. If his total annual interest is $420, how much does he have invested?

Answers

The amount invested in each stock, the stock interest rate and the

duration of the investment, determines the interest.

Brian invested $3,000 in the stock that pays 5% dividend and $3,000 in the stock that pays 9% to make a total investment of $6,000.

Reasons:

Let X represent the sum of the amount Brian invested, we have;

Amount invested in stock paying 5% dividend = [tex]\dfrac{X}{2}[/tex]

Amount invested in stock paying 9% dividend = [tex]\dfrac{X}{2}[/tex]

Total annual interest = $420

Required:

The amount invested in the stocks

Solution:

The amount invested is found as follows;

[tex]\dfrac{X}{2} \times 5\% + \dfrac{X}{2} \times 9\% = 420[/tex]

0.025·X + 0.045·X = 420

0.07·X = 420

[tex]\displaystyle \mathrm{The \ amount \ invested , \, X} = \frac{420}{0.07} = \mathbf{ 6,000}[/tex]

The amount he invested = $6,000 ($3,000 in each stock)

Learn more here:

https://brainly.com/question/20612739

Which point is a solution to the system?

Answers

Answer:

d

Step-by-step explanation:

Is (2, 1) a solution to the equation y = 2x - 1?

Answers

Answer:

No

Step-by-step explanation:

Substitute the values for their respective variable and evaluate.

[tex]1=2(2)-1\\1=4-1\\1\neq 3[/tex]

Therefore, (2, 1) is not a solution to the equation y = 2x - 1.

(2, 1) is in the form of (x, y).

Then,

☆ x = 2

☆ y = 1

Equation =》y = 2x - 1

Now, substitute the values.....

=》y = 2x - 1

=》(1) = 2(2) - 1

=》1 = 4 - 1

=》 1 ≠ 3

So, (2, 1) is NOT a solution to the equation y = 2x - 1.

______

Hope it helps ⚜

What is the next number in the series shown?

132, 123, 115, 108, 102

Answers

Answer: 97
Explanation:
132-123 = 9
123-115 = 8
115-108 = 7
108-102 = 6
102-5 = 97

Simplify (-9k+12k+9)-(10k+3k+4K-8)

Answers

Answer:

-14k+17

Step-by-step explanation:

50 points! Help (Vectors)

Answers

[tex]2v - 3u\\\\=2<3,7> - 3<-5,4>\\\\=<6,14>-<-15,12>\\\\=<6+15, 14-12>\\\\=<21,2>[/tex]

Answer:

 

Step-by-step explanation:

PLS help me answer both question pls no links and pls no fake answers

Answers

Answer:

Step-by-step explanation:

False

Multiplying each side by a positive number does not change the sign

x < -6(5/3)

x < -10

Which point represents

(

4
)
−(−4)minus, left parenthesis, minus, 4, right parenthesis on the number

Answers

Answer:

C

Step-by-step explanation:

-(-4)

so -×- becomes +

so -(-4)= 4

Answer:

No the answer is D

Step-by-step explanation:

-2

can someone PLEASE construct these 2 for me! ​

Answers

I answered this. But I guess the dang app deleted it! I am deeply sorry I couldn’t help you.

what is the next number 3 7 8 3 12 9

Answers

4 8 9 i believe that's it

PLS HELP! Worth 15 Points and Will give brainlest​

Answers

Answer:

D

Step-by-step explanation:

thanks in advance ill mark brainliest​

Answers

Answer:

x = 10

Step-by-step explanation:

the unmarked angle in the triangle is the supplement to 6x - 7

180 - (6x - 7)

180 - 6x + 7

187 - 6x

The sum of the angles in a triangle is 180

therefor

(2x + 7) + 26 + (187 - 6x) = 180

Combine like terms

-4x + 220 = 180

Subtract 220 from both sides

-4x = -40

divide both sides by -4

x = 10

Please help me please!!!!!!!!!

Answers

Step-by-step explanation:

the radius is diameter divided by 2

7/2/2 =1 .75

circumference of a circle is 2πr

2*22/7*1.75=11

3.14*11 =34.54

A teacher printed 730 copies how long did it take to print

Answers

Answer:

Can you provide how long it took to print per copy

Step-by-step explanation:

Answer:

it will take him 50 min because their are 730 and that is lot so it will take him 50min

Arrange the following fractions in ascending order 2/3 3/5 5/6

Answers

Answer:

Greatest to Least

5/6 > 2/3 > 3/5

Least to Greatest

3/5 < 2/3 < 5/6

The angle of depression from the top of a cliff to a
nearby town is 12 degrees. If the top of the cliff is
277 feet above the town, how far is the town from
the base of the cliff?
Round your answer to the nearest tenth of a foot

Answers

Answer:

Step-by-step explanation:

d = 277/tan12 = 1,303.1825... m = 1.3 km

The nearest tenth of a foot, the distance from the town to the base of the cliff is approximately 1337.3 feet.

The tangent of an angle in a right triangle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

The angle of depression is 12 degrees, and the side opposite the angle is the height of the cliff (277 feet), while the side adjacent to the angle is the distance from the town to the base of the cliff (which we want to find).

Let's denote the distance from the town to the base of the cliff as "d."

The tangent of the angle of depression is given by:

tan(12°) = opposite / adjacent

tan(12°) = 277 / d

Now, solve for "d":

d = 277 / tan(12°)

Using a calculator:

d ≈ 1337.25 feet

To know more about distance  here

https://brainly.com/question/34779919

#SPJ3

7 Harper ordered 22 shirts for her soccer team. Seventy-five percent of these shirts were saa samall. How many
seal shirts did Harper order?

Answers

Answer:

16.5 shirts were small.

Step-by-step explanation:

0.75 x 22 = 16.5

dear and kind community I have a question that urges me which is the following, let's imagine that there are 73 million coins that can be fractioned to a hexadecimal value of a minimum unit of 0.00000001 and would need 0.99999998 to reach a full unit of the coin 1, my question is what would happen if instead of this minimum hexadecimal number of coin 0.00000001 was a hundred 100=1? how many coins would exist if before it was 73 million with hexadecimals (0,00000001) now with a hundred it would be equivalent to one unit (1=100) how many coin units would there be? if now each unit would only be divided in hundreds and not in hexadecimals? thanks in advance to the one who responds.

Answers

Answer:

that have no answer so sorry

Four students were scheduled to get a book report in 1 hour. after the first report 2/3 hour remind. The next two reports took 1/6 hour and 1/4 hour. what fraction of the hour remained?

HELP please!!!! Due in 5 min

Answers

1/4 of the hour is remaining. Sorry if this is post-late.

Addison plays 6 songs in of an hr. How many
songs can she play for 4 hours?

Answers

Answer:

24

Step-by-step explanation:

4x6=12or 2x6=12so then 12+12=24

Answer:

6 songs per hour, so multiply that with the number asked which is four

so four times six is24

so she can play 24 songs in four hours!

~ ...

~ !

~ !

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