Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?

Answers

Answer 1

Answer:

Step-by-step explanation:

Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of terms(number of years) in the sequence.

a represents the first term in the sequence(the length 3 years ago)

r represents the common ratio(rate of erosion)

From the information given,

a = 220 feet

r = - 1.5/100 = - 0.015

n = 3

Therefore, the length of the field after 3 years, S3(length of the field now) would be

Sn = a(1 - r^n)/(1 - r)

S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)

S3 = 220.0007425/1.015

S3 = 216.7495 feet


Related Questions

1. Which point represents a value that is less
than -1 and greater than -5?

Answers

Um not sure...Absolute value?

Holly say 4.131131113 is a rational number which of the following best describes whether holly is correct and why

Answers

Answer: Holy is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

holly is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Find the greatest common factor of 30 and 75.

Answers

Answer:

15

Step-by-step explanation:

prime factorization of 30 is 2*3*5

prime factorization of 75 is 3*5*5

3*5 is common

6. What is the slope of a line perpendicular to the line whose equation is y = 2x -5?*

1) -2
2) 2
3) 1/2
4) -1/2

Answers

Answer: -1/2

You get y = 2x - 5, so the slope is 2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is -1/2.

Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *​

Answers

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

Find the volume of the sphere. Round to the nearest tenth, if necessary. (Use π = 3.14)

113.0 in^3
339.1 in^3
28.3 in^3
113.0 in^2

Answers

Steps:

Shape: Sphere

Solved for volume

Radius: 3

Formula: V=4 /3πr3

1: know the height. We don't have to round to the nearest tenth. The correct answer for this question is 113.0.

Answer:  113.0

Please mark brainliest

Hope this helps.

Please help, thank you

Answers

Answer:

The sum = 4092

Step-by-step explanation:

The sum is equal to A, in which:

A = 4 x (2^0 + 2^1 + 2^2 + ... + 2^9)

   = 4 x [(1 + 2^1 + 2^2 + ... + 2^9)(2 - 1)/(2 - 1)]

   = 4 x (2^10 - 1)(2 - 1)

   = 4 x (2^10 - 1)

  = 4 x  1023

  = 4092

Hope this helps!

Answer:

4092

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

where a is the first term and r the common ratio

4[tex](2)^{n-1}[/tex] ← is the n th term of a geometric sequence

with a = 4 and r = 2

The sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex] , thus

[tex]S_{10}[/tex] = [tex]\frac{4(2^{10}-1) }{2-1}[/tex] = 4(1024 - 1) = 4 × 1023 = 4092

On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.

Answers

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Find the midpoint between the two points of the line in the image below.

Answers

Answer:

(-2,0.5)

Step-by-step explanation:

1st set of Point=(-5,-2)

2nd set  of Point=(1,3)

Midpoint=(X1+X2/2 , Y1+Y2/2)

=(-5+1/2 , -2+3/2)

=(-2,0.5)

A rectangle is 6 inches longer than it is wide. Write and simplify an expression for
the perimeter of the rectangle in terms of the width w.

Answers

Answer:

L+6=W

Step-by-step explanation:

Answer:

4w + 12

Step-by-step explanation:

w + (w+6) + w + (w+6) = 4w + 12

for perimeter you add all the sided together

w = width

w + 6= length

[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. ​Please help!!!!!!!!!!!!

Answers

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

If so please mark me as Brainliest.

help please
7^-1 x 7^5/7^6

Answers

Answer:7^-2

Step-by-step explanation:

7^-1(7^5/7^6)=7^-1*7^(5-6)=7^-1*7^-1=7^(-1-1)=7^-2

Find the minimum value of C=x+3y

Answers

Answer:

c

Step-by-step explanation:

2x + 3y > 6                                                                                                          (1)

3x – 2y = 9                                                                                                         (2)

x + 5y = 20                                                                                                        (3)

From (1) and (2), we have:

(2x + 3y) - (3x - 2y) > 6 - 9

5y - x > -3                                                                                                          (4)

From (3) and (4), we have:

(x + 5y) - (5y - x) > 20 - (-3)

2x > 23

x > 12,5                                                                                                               (5)

From (3) and (5), we have:

x + 5y = 20 ⇔ 12,5 + 5y > 20

5y > 7,5

y > 1,5

So: C = 4x + 3y > 12,5 × 4 + 1,5 × 3 = 50 + 4,5 = 54,5

Conclusion: C > 54,5

Convert 1 1/3 to a improper fraction

Answers

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

The fraction 1 1/3 as an improper fraction is 4/3

How to write an improper fraction

From the question, we have the following parameters that can be used in our computation:

Fraction =  1 1/3

When converted to an improper fraction, we have

Numerator = 3 * 1 + 1

Evaluate

Numerator = 4

The denominator remains the same

So, we have

Fraction =  4/3

Hence, the fraction is 4/3

Read more about fraction at

brainly.com/question/31896427

#SPJ6

On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.

Answers

Answer:

B and E

Step-by-step explanation:

edge 2021 (??)

What steps would you take to determine if these figures are similar? Check all that apply.

Use a scale factor of 2.

Multiply the vertices of polygon ABCD by One-half.

Translate the intermediate image 4 units down. - CORRECT

Perform two different dilations.

Reflect the intermediate image. - CORRECT

Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4

Answers

Answer:

-1/4

Step-by-step explanation:

Multiplicative inverse is another word for reciprocal

It is the number you multiply by to get 1

-4 * x = 1

Divide each side by -4

x = 1/-4

x = -1/4

Answer:

- 1/4

Step-by-step explanation:

- 4 * x = 1

= - 1/4

Hope this helps!

Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers

Answers

The answer is 3 that’s not rug I recalling don’t no the answer

Can someone please help me

Answers

Answer:

1) [tex]\frac{3}{7} = \frac{15}{35}[/tex]

2) [tex]\frac{64}{48}=\frac{4}{3}[/tex]

3) [tex]\frac{21}{56}=\frac{3}{8}[/tex]

Step-by-step explanation:

ESTAS SON FRACCIPONES EQUIVALENTES

1. 3(35)/7 = 15 ENTONCES 15/35

2. 48(4)/3 = 64 ENTONCES 64/48

3. 56(3)/21 = 8 ENTONCES 3/8


Which expression is equal to the expression below?
(7•2)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

When the exponent is outside the parenthesis, the exponent is connected to every part of the equation.

The first three terms of a geometric sequence are shown below. What is the eighth term of the sequence?

Answers

Answer:

A) -128x^8 - 384x^7

Step-by-step explanation:

The pattern is each term is multiplied by -2x which means by the eighth term youll have 8 x's in the first and 7 in the second. As you started off with a positive and multiplied it an even amount of time you'd end up with a negative answer. Think of it like this, it switches with each multiple so it would go: Positive, negative, positive, negative, this will get you a negative in the eighth term.

I know my explanation is a bit bad! I apologize!

Answer:

its a

Step-by-step explanation:

edge 2020 just took the test

What is the slope of a line that is perpendicular to the line in the graph?

Answers

Answer:

1

Step-by-step explanation:

The line in the graph has a slope of -1. The slopes of lines that are perpendicular have a product of -1 so the answer is 1.

Solve this inequality.

8x + 6 less than or equel to 54

Answers

Answer:

[tex]x\le 6[/tex]

Step-by-step explanation:

We need to solve the given inequality [tex]8x+6\le 54[/tex] ....(1)

Subtract 6 on both sides of the equation as :

[tex]8x+6-6\le 54-6\\\\8x\le 48[/tex]

Dividing both sides of the equation by 8 such that,

[tex]x\le 6[/tex]

So, the value of x is less than equal to 6. Hence, this is the required solution.

Summer Grade 6 PBL 1 Pre-Assessment
1 According to a survey conducted by the Texas Free Press, 125 out of 500 people do not
have internet access at their homes. What percent of the people surveyed do have
internet access at their homes?
I
А
12.5%
B
25%
с
37.5%
D
75%
Tyne here to search
BI
E
12

Answers

B. 25% because 125 divided by 500 is 0.25

What time is it if half of what has already passed remains until the end of today?

Answers

Answer:

4 p.m.

Step-by-step explanation:

We know that a day contains 24 hours in total.

The time already passed will be represented by [tex]x[/tex].

The remaining time would be [tex]\frac{x}{2}[/tex], becasye half of what has already passed remains until the end of the day.

Basically, the sum of these two expression gives 24 hours in total.

[tex]x + \frac{x}{2} =24\\\frac{3x}{2}=24\\ x=16[/tex]

Therefore, the actual time is 4 p.m.

George gets a pay rise from £632 per week to £711 per week. What percentage pay rise was he given?

Answers

Answer:

12.5%

Step-by-step explanation:

£632 - 100%

£711 - ?%

?%= (711*100)/632 = 112.5%

112.5-100=12.5%

Help center of circle

Answers

Answer:

Center = (7, - 5)

Radius = 3

Step-by-step explanation:

[tex] {x}^{2} + {y}^{2} + 14x - 10y + 65 = 0 \\ {x}^{2} + 14x + {y}^{2} - 10 + 65 = 0 \\ ( {x}^{2} + 14x + {7}^{2}) - {7}^{2} + ({y}^{2} - 10y + {5}^{2}) \\- {5}^{2} + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 - 25 + 65 = 0 \\ (x + 7)^{2} + (y - 5)^{2} - 49 + 40= 0 \\ (x + 7)^{2} + (y - 5)^{2} - 9= 0 \\ (x + 7)^{2} + (y - 5)^{2} = 9 \\ (x + 7)^{2} + (y - 5)^{2} = {3}^{2} \\ equating \: it \: with \: \\ (x - h)^{2} + (y - k)^{2} = {r}^{2} \\ - h = 7 \implies \: h = - 7 \\ - k = - 5 \implies \: k = 5 \\ center = ( - h, \: - k) = (7, \: \: - 5) \\ \\ radius \: r = 3[/tex]

Ubstitute the value for the variable, and state in a complete sentence whether the resulting number sentence is true or false. 20 > 86 − ℎ. Substitute 46 for ℎ.

Answers

Answer:

The number sentence is false.

Step-by-step explanation:

The inequality given is

20 > 86 − ℎ

We are to substitute the value of h as 46 to see if the inequality is true or false.

20 > 86 - 46

20 > 40

Since 20 is not greater than 40, the number sentence is false.

*I WILL MARK YOU BRAINLIEST!!!* Whose football reaches a greatest height?

Answers

Answer:

Austin's football

Step-by-step explanation:

If you graph the equation for James's ball, you will find that the maximum height is at 5.125 feet. For Austin, it is over 8 feet. Therefore, Austin's ball goes higher. Hope this helps!

Answer:

austin's

Step-by-step explanation:

Ansley’s age is 5 years younger than 3 times her cousin’s age. Ansley is 31 years old.

Let c represent Ansley’s cousin’s age. What expression, using c, represents Ansley’s age?

Answers

Answer: the correct answer is 3c-5

Step-by-step explanation: I just solved it

Note that the expression "3c - 5" represents Ansley's age, and if Ansley is 31 years old, her cousin's age (c) would be 12.

How to compute the above

According to the given information, Ansley's age is 5 years younger than 3 times her cousin's age.

We can represent this mathematically as  -

Ansley's age = 3 * Cousin's age - 5

Using the variable c to represent the cousin's age, the expression representing Ansley's age would be  -

3c - 5

Thus , the expression "3c - 5" represents Ansley's age in terms of her cousin's age (c).

Learn more about expression at:

https://brainly.com/question/1859113

#SPJ2

find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis​

Answers

Answer:  C

Step-by-step explanation:

Reflection across x = -1

The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)

J = (0, 0) is 1 unit to the right of x = -1

J' = (-2, 0) is 1 unit to the left of x = -1

K = (1, 4) is 2 units to the right of x = -1

K' = (-3, 4) is 2 units to the left of x = -1

L = (3, 3) is 4 units to the right of x = -1

L' = (-5, 3) is 4 units to the left of x = -1

Reflection across x-axis

Change the sign of the y-value:  (x, y) → (x, -y)

J' = (-2, 0)           J'' = (-2, 0)

K' = (-3, 4)           K'' = (-3, -4)  

L' = (-5, 3)            L' = (-5, -3)

Other Questions
Please CREATE ( draw ) a CARTOON super hero of your own, in three action poses. The character must have a super power, that is so eobvious, there is no need to explain it. The current sections of Birmingham Inc.s balance sheets at December 31, 2019 and 2020, are presented here. Birminghams net income for 2020 was $193,000. The income statement included depreciation expense, $25,000, amortization expense, $10,000, and a gain on disposal of equipment, $7,000. The equipment was sold for $47,000. Birmingham also issued bonds for $60,000. 2020 2019Current assets Cash $417,000 $ 99,000 Accounts receivable 120,000 93,000Inventory 159,000 176,000Prepaid expenses 29,000 24,000Total current assets $725,000 $392,000 Current liabilities Accrued expenses payable $ 17,000 $ 6,000 Accounts payable 88,000 94,000Total current liabilities $105,000 $100,000 InstructionsPrepare the net cash provided by operating activities section of the companys statement of cash flows for the year ended December 31, 2020 using the indirect method. please help and explain i will mark brainliesttt! Real-Balances Effect Household Expectations Interest-Rate Effect Personal Income Tax Rates Profit Expectations National Incomes Abroad Government Spending Answer the question based on the accompanying list of factors that are related to the aggregate demand curve. Changes in which two of the factors would most likely cause a shift in aggregate demand due to a change in consumer spending. The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructors information, the true molarity (M) of this solution is 0.1364 M. What is the percent error in this experiment? Round your answer to the nearest tenth. A conducting sphere contains positive charge distributed uniformly over its surface. Which statements about the potential due to this sphere are true? All potentials are measured relative to infinitya. The potential at the center of the sphere is zero.b.The potential is lowest, but not zero, at the center of the sphere.c. The potential at the center of the sphere is the same as the potential at the surface.d. The potential at the center is the same as the potential at infinity.e. The potential at the surface is higher than the potential at the center. Find the coordinates of the midpoint of the segment in the pictureabove.O a. (-.5, 3)o b. (-3.5, -2)O C. (-4.5, -1)O d. (-7,-4) What happened when black people stopped riding the buses in Montgomery? Which statement best describes the repeated use of the word consistency in the passage?A. Emerson repeats the word consistency to emphasize his disapproval of compliant thinking.B. Emerson repeats the word consistency, to highlight the importance of finishing what one has started.O c. Emerson repeats the word consistency to express his desire for uniformity in transcendentalism.D. Emerson repeats the word consistency to mirror his list of thinkers who were frequently misunderstood. Please help with this I put in 6.32 for A but its still saying its wrong and I need the , I only need to answer this right to pass my summer school class someone please help me ! What is the function of the seed coat ? it protects the new plant. it contains food. it performs respiration. it attracts animals. A roofing company collects fees when jobs are complete. The work for one customer, whose job was bid at $3,900, has been completed as of December 31, but the customer has not yet been billed. Assuming adjustments are only made at year-end, what is the adjusting entry the company would need to make on December 31, the calendar year-end? x-2>2x+12 solve for x en una division el 42 es el cociente el divisor 12 y el dividendo 513 Cual es el resto? what function is increasing? will give brainlist ! A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4. What is the area of the trapezoid? Why do you find glucose in the filtrate but not formed elements of the blood (erythrocytes, leukocytes, andplatelets)? Carlos and his brother each made 72 cookies for the church bake sale. They sold the same amount of cookies each day over a three day period. Between the two of them how many cookies did the boys sell each day? A. 24 B. 48 C. 72 D. 144 PLEASE HELP ASAP!!Kaylee solves the equation below by first squaring both sides of the equation.[tex]1-y=\sqrt{2y^{2} -7}[/tex]What extraneous solution does Kaylee obtain?y=???