Currently there are 691,255 trees in a national forest. A park ranger discovered that an untreatable disease is killing the
trees at a rate of 1.5% every year.
Lett represent the number of years after the current date. Determine the inequality that can be used to model when there
will be no more than 621,859 trees, and then solve the inequality for t.

Answers

Answer 1

The inequality which will represent the disease killing of trees in the national forest is 691255[tex]0.985^{t}[/tex]<621859 and the value of t is t<7.

What is inequality?

An inequality is just like an equation which is presented in greater than sign, less than signs. It also shows relationship between variables like an equation does.

How to form inequality?

Total trees present in the beginning=691255

rate at which trees are killed by untreatable disease=1.5%

So the inequality can be formed as under:

691255[tex](1-0.015)^{t}[/tex]<621859

[tex](0.985)^{t}[/tex]<621859/691255

[tex](0.985)^{t}[/tex]<0.89960

[tex](0.985)^{t}[/tex]<[tex](0.985)^{7}[/tex]

By equating we find that t<7.

Hence if 691255 trees are present in the beginning then they will last for more than 7 years to reach 621859.

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Related Questions

In Katya’s car, the number of miles driven is proportional to the number of gallons of gas used. Find the missing value in the table. (at the bottom)

b. What is the constant of proportionality?

Answers

Answer:

8

Step-by-step explanation:

hope this helps~ :D

Answer:

8 aayega iska answer

At home I have 15 cans of tomato soup that are organized into 3 drawers. Which of the following is an equivalent ratio of
soup to drawers?

Answers

Answer:

5:1

Step-by-step explanation:

5 being cans of tomato soup.

1 being a drawer.

A person earns $16,000 one year and gets a 5% raise in salary

Answers

Answer:

$16800

Step-by-step explanation:

16000 * 1.05 = 16800

Answer:

800

Step-by-step explanation:

$16,000 x 0.05= $800

Find the volume of a cone with a height of 6 cm and a base diameter of 8 cm,
Use the value 3.14 for it, and do not do any rounding.
Be sure to include the correct unit in your answer.
0
cm
8 cm

Answers

Answer:

1/3hπr²= 1/3×6×3.14×(4)²

=100.48cm³

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.
See
The picture please help test

Answers

Answer:

100.3 sqr. units

Step-by-step explanation:

Area of the composite figure = area of parallelogram + area of 2 semicircles

✔️Area of parallelogram = base * height

Base = 10

Height = 5

Area of parallelogram = 10*5 = 50 sqr. units

✔️Area of 2 semicircles = 2(½*πr²)

radius (r) = ½*8 = 4

Area of two semicircles = 2(½*π*4²)

Area of two semicircles = π*16 = 50.3 sqr.

✔️Area of composite figure = 50 + 50.3 = 100.3 sqr. units

What is the approximate volume of the cone? ​

Answers

Answer:

157 cm³

Step-by-step explanation:

Given

Radius (r) = 5 cm

height (h) = 6 cm

Volume of the cone (V) = ?

We have the formula

V = 1/3 *π*r²*h

V = 1/ 3 * 3.14 * 5² * 6

V = 157 cm³

Hope it will help :)

Total surface area of a cube is 1014cm^2. It's volume will be :
a) 2197 cm^3
b) 2297 cm^3
c) 2179 cm^3
d) 2117 cm^3

plz answer...if you answer with explanation i will surely follow you and rate 5 ​

Answers

Answer:

Option A (2197 cm³)

Step-by-step explanation:

For a cube with length of each side "a" , it's

Total Surface Area = 6a² Volume = a³

_____________________________________________

According to the question ,

Total Surface Area = 1014 cm²

Let the length of each side of cube be 'a'.

Using the formula ,

[tex]6a^{2} =1014[/tex]

[tex]=> a^{2} =\frac{1014}{6} = 169[/tex]

[tex]=> a = \sqrt{169} = +13 \: or -13[/tex]

But length can't be negative . So , length of each side = 13 cm

∴ Volume of cube = 13³ = 2197 cm³

42 + 5t = 8t solve for t

Answers

Answer:

14

Step-by-step explanation:

do you want an explanaation?

btw, plz brainliestt :))

The value of t is 14

Given the algebraic equation:

[tex]42 + 5t = 8t\\[/tex]

To find the value of t in the algebraic equation given, we would apply the some of the laws of equalities or properties as follows:

[tex]42 + 5t - 5t = 8t - 5t[/tex] (subtraction property of equality)

[tex]42 = 3t\\\frac{42}{3} = \frac{3t}{3}[/tex] (division property of equality)

[tex]14 = t[/tex]

[tex]t = 14[/tex]

Therefore, the value of t is 14.

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Solve the system of equations
solved this system.
5x + y = 10
2x + 3y = -9
Complete the explanation on how you
The answer to the system of equations is (
and solved for yv.Then I substituted
I substituted -5x + 10 for xv Into 2x + 3y = -9
for x in one of the equations and solved fory.

Answers

Answer:

lemmeee see i donr know hehehehe

whats 10x10+3942x238 divided by 12

Answers

78,191.33


10x10=100
3942x238=938,196
938,196 + 100=
938,296 divided by 12=
78,191.33

Answer:

78,191.33

Step-by-step explanation:

math

A fruit production company has three packaging facilities, each of which uses different-sized boxes as follows: 36 pieces per box, 28 pieces per box, and 20 pieces per box. Step 2 of 2 : Assuming each facility will receive the same amount of fruit, how many boxes will each facility package

Answers

Answer:

[tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively

Step-by-step explanation:

From the question we are told that

Facility A =36 pieces/box

Facility B =28 pieces/box

Facility C =20 pieces/box

Let the Fruit received be F

Generally the Facility A's number of boxes is mathematically given by

[tex]36 pieces=1 box[/tex]

Total Pieces=F

Therefore

Facility A's total amount of box = F/36

Generally the Facility B's number of boxes is mathematically given by

[tex]28pieces=1box[/tex]

Therefore

Facility B's total amount of box = F/28

Generally the Facility C's number of boxes is mathematically given by

[tex]20pieces=1box[/tex]

Therefore

Facility C's total amount of box = F/20

Therefore

Each Facility will make us of [tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively in packing there allocated Fruit.

Item 10

You earn $11 per hour working at a grocery store during the summer. The function p(x)=11x represents the amount you earn for working x hours.


a. You work 18 hours. How much do you earn?


$


b. How many hours do you have to work to earn $275?


If you finish in 10 minutes you get brainliest

Answers

Answer a) is 198
Answer b) is 11 times 25

An artist mixes 2/5 ounce of blue paint with 1/15 ounce of green paint. Using the same ratio, how many ounces of green paint should she mix with 3 ounces of blue paint?
A. 2/75 ounce
B. 2/25 ounce
C. 1/3 ounce
D. 1/2 ounce

Answers

Answer:2/75

Step-by-step explanation:

2/5 1/15

2x1=2 15x5=75

simplify 3{(5 - 2) 3+4}

Answers

Answer:

8

Step-by-step explanation:

;p

Use multiplication to find 4% of 2,475.

4% of 2,475 is ______

Answers

Answer:

Step-by-step explanation:

4 percent *2475 = 99

sorry cant do the multiplcation on here

Answer:

99

Step-by-step explanation:

Write this number in standard form.

Nine hundred fifty-three thousand nine hundred two

Answers

Answer:

953,902

Step-by-step explanation:

tanner had $32.80 and spent 15% of his money on a book including tax. If he paid with a $5 bill, how much change did tanner get back?

Answers

Answer:

$0.08

Step-by-step explanation:

Find the cost of the book, by finding 15% of 32.80

32.80(0.15)

= 4.92

To find how much change he got back, subtract this from 5:

5 - 4.92

= 0.08

So, he got $0.08 back in change

Answer:

actually he got 23 cents back

Step-by-step explanation:

−1/5(x−4)=−2 Please help me fast

Answers

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

Jim had 360 stamps. He sold 1/3 of them on Monday and 1/4 of the remainder on Tuesday. How many stamps did he sell on Tuesday

Answers

First, you multiply 360 by 1/3, to give you 120. Then multiply 120 by 1/4. That give you 30. If you subtract 30 from 120, it gives you the answer that Jim sold 90 stamps on Tuesday.

Solve.


k
5
+ 9 = 22

k =

Answers

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x<3  Equation/Question

Step 2

-3x<3  Simplify

-3x<3

Step 3

-3x<3  Divide by -3

Answer

x>-1

20 POINTS!!
M is directly proportional to r squared when r=2, m=14
Workout the value of r when M =224

Answers

Answer:

r = 8

Step-by-step explanation:

Given that M is directly proportional to r² then the equation relating them is

M = kr² ← k is the constant of proportionality

To find k use the condition when r = 2 , M = 14

k = [tex]\frac{m}{r^{2} }[/tex] =[tex]\frac{14}{4}[/tex]  = [tex]\frac{7}{2}[/tex]

M = r² ← equation of proportion

When M = 224, then

224 =[tex]\frac{7}{2}[/tex]r² ← multiply both sides by 2

7r² = 448 ( divide both sides by 7 )

r² = 64 ( take the square root of both sides )

r = [tex]\sqrt{64}[/tex] = 8

have wonderful day

there are 121 boys and 116 girls signed up for a felid trip the leader first makes grops of nine students and assign the remaining into groups of ten. how many groups of ten will there be

Answers

Answer:

22 groups of ten

Step-by-step explanation:

121 plus 116 = 237

237 - 9 = 228

lets split 228 into parts

200

20

8

there are 20 groups of ten in 200

2 groups of ten in 20

and 8 has 0 it is a remainder

20 groups plus 2 groups = 22

22 groups of ten

this probobly isn't the easiest way but I don't know how but this is my thought process.

A study states that 34% of people prefer their eggs crambled. you randomly select 7 people who had egs for breakfast. what is the standard deviation for this distributions

Answers

Answer:

Mean of the binomial distribution    μ = 2.38

Standard deviation of the binomial distribution   σ =   1.2533

Step-by-step explanation:

Explanation:-

Given Population proportion

                   p = 34 % = 0.34

                  q = 1- p

                     = 1 -0.34

                      = 0.66

                  q = 0.66

Mean of the binomial distribution  

              μ = n p = 2.38

Standard deviation of the binomial distribution

          σ = √n p q  =  1.2533

How do I find the sin x

Answers

sin=opposite/hypotenuse= 32 (it’s the opposite of x)/40 (opposite of the right angle) so sin x=32/40

Help me graph this

Y=x-5

2x+y=4

Answers

Answer:

Y=x-5

2x+y=4

Step-by-step explanation:

Answer:

Plot these points:

For the line y = x - 5:

(0, -5)

(1, -4)

For the line 2x + y = 4:

(0, 4)

(1, 2)

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:

69.3 years

Step-by-step explanation:

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

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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Determine whether the variable is qualitative or quantitative. Explain your reasoning. The price of a new computer.

Answers

Answer:

The price of a new computer is quantitative.

Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

Qualitative:

When the possible values of the variables are labels, for example, good or bad, yes or no,...

Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

"The price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.

What are Qualitative and Quantitative Variables?Quantitative variables are variables whose values are numerical or measured. Example of a quantitative variable is number of students in a given class.Qualitative variables do not have numerical value or are not measurement variables. An example of a qualitative variable is eye color.

Therefore, "the price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.

Learn more about quantitative and qualitative variables on:

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Hi! I need the answer to this quickly! Thank you

Answers

I am pretty sure it’s 14 I think but i don’t know for sure

Answer:

h=854.046

Step-by-step explanation:

h+2=2800÷tan73

h=854.046(correct to 3 decimal places)

PLZ HELP GIVING 5 STARS
TO PEOPLE WHO GIVE ANSWER

Answers

Answer:

woah ill look at it and come back when i find the answer

Step-by-step explanation:

There are 12 tables and 4 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 72 people, what is the capacity of each booth?


5 people


6 people


4 people


8 people

Answers

Answer:

6

Step-by-step explanation:

12 times 4 = 48

72 - 48 = 24

24 divided by 4 = 6

Answer:

4

Step-by-step explanation:

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