Find common ratio and series sum

Maggie is starting a small farm. In her first year, she harvests 90.000
kilograms of kale. As she gets better at planting, fertilizing and pest control,
each year her harvest increases by 3%. What is her total harvest over the
first 5 years that she owns the farm?
Represent this scenario as a finite geometric series and calculate the
sum.
Enter the total harvest of kale in
kilograms

Answers

Answer 1

Answer:

Her total harvest over the

first 5 years that she owns the farm is 11277 kg

Step-by-step explanation:

Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.

As she gets better at planting, fertilizing and pest control,

each year her harvest increases by 3%.

So,

In First year

She owns 90,000 kg

In Second year

She owns 90,000 kg and her harvest is increases by 3%.

i.e.,

90000 × 3 ÷ 100 = 2700

So, The increase in 90,000 kg kale is 2,700

Now,

90,000 + 2,700 = 92,700 kg

In Third year

She owns 92,700 kg and her harvest is increases by 3%.

i.e.,

92700 × 3 ÷ 100 = 2781

So, The increase in 92,700 kg kale is 2781

Now,

92,700 + 2,781 = 95,481 kg

In Fourth year

She owns 95,481 kg and her harvest is increases by 3%.

i.e.,

95481 × 3 ÷ 100 = 2846

So, The increase in 95,481 kg kale is 2846

Now,

95,481 + 2,846 = 98,345 kg

In Fifth year

She owns 98,354 kg and her harvest is increases by 3%.

i.e.,

98354 × 3 ÷ 100 = 2950

So, The increase in 98354 kg kale is 2950

Now,

98354 + 2950 = 101,295 kg

Now,

In First five years She owns

2700 + 2781 + 2846 + 2950 = 11277 kg

Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg

-TheUnknownScientist


Related Questions

Find the area of the circle. Round to the nearest tenth. Use 3.14 forn.
24 m

Answers

Just use 3.14 form to get your nearest tenth answer

A random sample of students was surveyed on what they eat for lunch at school. The results are shown in the table
below.
Lunch Item
Number of Students
Pizza
52
Salad
26
Burger
30
Chicken Sandwich
48
Brought lunch from home
44
If the school has 1,000 students, about how many students can the cafeteria expect to buy pizza?
208
1,000
260
52

Answers

Answer:

260

Step-by-step explanation:

you would divide 52/200 because all the numbers added up is 200 and it comes out to 0.26 and the original number of students they wanted is 1,000 so look at those zeros and move the decimal 3 times and add the zero in the empty space to get 260.

A ratio shows us the number of times a number contains another number. The number of students the cafeteria should expect to buy pizza is 260.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

The ratio of the number of students to the number of total students can be written as,

Ratio = (Number of students)/(Number of total students)

Ratio = 52/(52+26+30+48+44) = 52/200

Now, the same ratio is applicable to 1000 students, therefore, the ratio will be,

Number of students who prefer pizza = 1000 × (52/200) = 260

Hence, the number of students the cafeteria should expect to buy pizza is 260.

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what is the slope of this graph?

Answers

Answer:

The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.

Step-by-step explanation:

-3/1 rise 3 run 1 its negative because it’s going to the right

A triangle is called
_____ if none of its sides are the same length. *
equilateral
isosceles
scalene

Answers

Answer:

scalene

Step-by-step explanation:

Answer:

Scalene

Step-by-step explanation:

Equilateral means all the sides are the same.

Isosceles means only two are the same.

Scalene means none are the same.

What is the volume of the cone below?
O A. 1087 units 3
B. 144r units3
4
O c. 432rr units 3
O D. 216r units 3

Answers

answer d

Step-by-step explanation:

because I learned this

Answer: 144 pi units^3

Step-by-step explanation:

When solving a system of equations algebraically, which statement results in no solution?

Answers

Answer:

all of these

0 does not equal 1

4 does not equal 7

2 does not equal -2

-3 does not equal 3

All of the given equations have no solution.

What are system of equations in mathematics?A system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables. They are of the form -

        ax + by + c = 0

        dx + ey + f = 0

We have the given system of linear equations that has no solutions.

For no solutions, the final equation should be of the form -

α = β

where [α] and [β] are constant integers.

So all the equations result in no solution.

Therefore, all of the given equations have no solution.

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how many liters give u 3.1KL

Answers

Answer:

3100 liters

Step-by-step explanation:

multiply the value by 1000

Question 10 of 10
Given the polynomial function below, find F(-5).
F(x) = x2 - 2x-7
O A. -22
B. 42
O C. 8
D. 28

Answers

Answer:

D. 28

Step-by-step explanation:

We are given the following polynomial function:

[tex]F(x) = x^2 - 2x - 7[/tex]

Find F(-5).

This is the value of F for which [tex]x = -5[/tex]. So

[tex]F(-5) = (-5)^2 - 2(-5) - 7 = 25 + 10 - 7 = 28[/tex]

28, which means that the correct answer is given by option D.

у = -x + 2
y = 2x + 5

Answers

Use substitution
-x + 2 = 2x + 5
2 = 3x + 5
-3 = 3x, x = -1
Plug into any equation to find y
y = -(-1) + 2
y = 1 + 2 = 3

Solution: x = -1, y = 3

Answer:

x= -1

Step-by-step explanation:

-x+2= y =2x+5

-x+2=2x+5 /+x

2=3x+5 /-5

-3=3x

x= -1

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 6.

Answers

Answer:

1/2

Step-by-step explanation:

There are 12 equally likely outcomes.

There are 6 numbers greater than 6 (7, 8, 9, 10, 11, 12)

Take the number of possible outcomes and divide it by the total number of outcomes.  6/12 is 1/2

twice the difference of a number and 7 is at least -21
Use the variable c for the unknown number.
Translate the sentence into an inequality

Answers

Answer:

Step-by-step explanation:

Difference of a number and 7 = c - 7

Twice the difference = 2*(c - 7) = 2*c - 7*2 = 2c - 14

2c - 14 ≥ -21

Please help ! Please help!

Answers

Answer:

The answer is 75 degrees.

Step-by-step explanation:

The explanation is that the the supplementary angle to 80 is 100 since a straight line has an angle of 180, now the 100 degree angle is congruent to the angle x + 25 which means that x + 25 is equal to 100 so x is 75

because we know that the top angle is 80, we now know that the top angle below is also 80. A line is 180 degrees. So when you 180 - 80, you get 100. Because it says x + 25, you know the total is 100.
so its X + 25 = 100
X = 100 - 25
X = 75
sorry if this was confusing i tried my best, hope this helps!!

Can somebody please help me!!!!

Answers

Answer:

first is 180

second is 270

third is 90

Answer:

Step-by-step explanation:

A journey takes 3 hours at an average speed of 30 km per hour. How long will this journey take at 45 km per hour?

Answers

If it takes 3 hours at 30 km per hour than that 90 km total distance and at 45 km per hour that would mean that distance would be travelled in 2 hours. So the answer should be 2 hours

Which is true of an adjustable rate mortgage?

Answers

Answer:

The rate of interest may vary , totally depends on the market value of that agency or company or the financial agency which is providing the mortgage money at certain rate. So, option (B) the interest rate may change depending on the condition of the economy is true statement regarding adjustable rate mortgage.Step-by-step explanation: hope it helps

You spin the spinner and flip a coin. Find the probability of the compound event.
The probability of spinning a 6 and flipping tails is

You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
You spin the spinner and flip a coin. Find the probability of the compound event.



The probability of spinning a number less than 3 and flipping tails is
.
.

Answers

Answer:

The probability of spinning a 6 and flipping tails is 0

The probability of spinning a number less than 3 and flipping tails is 1/5

Step-by-step explanation:

HELP ASAP I WILL MARK BRAINLEY

Explain how to solve the equation and how to check the solution. 40 = Sy​

Answers

Answer:

y = 5

Step-by-step explanation:

40 = 8y

divide both sides by 8, isolating y by itself:

40/8 = 8y/8

5 = y

rearrange the equation so the y is on the left side

y = 5

The answer is y = 5

We can check by plugging in y = 5 into the original equation:

40 = 8y

40 = 8(5)

40 = 40

correct

i don't really understand this

Answers

Answer:

sum

1.-28

2.5/4

3. -9.4

4. 33

5. 4.6

6. 2.4

7. -4.2

DIFFERENCE

8. -2.5

9. -7

10. 3/10

11. -31/36

12. -29/18

13. 16

14.-5/9

Step-by-step explanation: hoped this helped :))

Triangle ABC is transformed to obtain triangle A'B'C'. Identify the transformation.

Answers

Answer:

think it’s (-x,-y)

I’m not sure

There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen

Answers

What’s the question here?

What is the main problem with this introduction paragraph?
Games Games Games claims to have the best trade-in store.
Even though it was in great condition, I was given only $4 for it. Later, I
saw that you were selling used copies of the same game for $22. Is
this really fair to your customers?
A. The hook does not relate to the topic.
B. It includes opinions instead of just facts.
C. It does not restate the main points of the essay.
D. The thesis statement is unclear.

Answers

I think and hopefully it’s b

Answer:

The thesis statement is unclear.

Solve the x in the equation x2+11x+121/4=125/4

Answers

Answer:

see the screen shot it has the answer and explanation (thumbs up)

Step-by-step explanation:

x = - 1/11

Hope this helps

Which two factors of 48 contain a factor that is a prime number

Answers

Answer:

3 and 16

Step-by-step explanation:

Jackson purchased $5,200 worth of electronic equipment from BetterBuy on their deferred payment plan. The plan
allows the customer to make no down payment and no payment at all for five months. If the entire amount is paid in
full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going
back to the first month. How much would it cost Jackson in finance charges if he misses the 5-month deadline?

Answers

Answer:

If Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Step-by-step explanation:

Since Jackson purchased $ 5,200 worth of electronic equipment from BetterBuy on their deferred payment plan, and the plan allows the customer to make no down payment and no payment at all for five months, while if the entire amount is paid in full before the five month deferment ends, the finance charge with an APR of 19.8% is applied each month going back to the first month, to determine how much would it cost Jackson in finance charges if he misses the 5-month deadline the following calculation should be performed:

5,200 x (1 + (0.198 / 12 x 5)) = X

5,200 x (1 + (0.0165 x 5)) = X

5,200 x (1 + 0.0825) = X

5,200 x 1.0825 = X

5.629 = X

5,629 - 5,200 = 429

Therefore, if Jackson misses the 5-month deadline, it will cost him $429 in finance charges.

Students painted 1/2 the wall in the gym with 3 colors. Each color takes up the same amount of space on the wall. What fraction of the wall does each color occupy?

Answers

1/2 divided by 3 is 1/6

Hope this helps :D

Question 7 of 19
A right cylinder has a radius of 4 and a height of 11. What is its surface area?
A. 1527 units2
B. 887 units2
C. 120 units2
D. 607 units2
SUBMIT

Answers

C, 120 units2 is the answer

help plzzzzzzzzzz !!!!!

Answers

Answer:

51

Step-by-step explanation:


HELP PLZZZZZZZZZZZZZZXZXXXZZZZXZZX

Answers

Answer:

c

Step-by-step explanation:

4×2=2in

100÷2=50%

so it is c

Answer:

Point C

Step-by-step explanation:

Point C is half way on the line

Reflect B (6,5) across the X axis. What would the new coordinate be?

Answers

Answer:

(6,-5)

Step-by-step explanation:

-6,-5
Switches to negative Bc it’s positive

what is the approximate length of hypotenuse with a 35 degree angle and one leg is 12

Answers

Answer:

37

Step-by-step explanation:

35^2+12^2=37

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