Please help with this

Find common ratio and series sum

Artyom0805 [142]

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

<u>-TheUnknownScientist</u>

6 0

3 years ago

Is my answer correct?

tatyana61 [14]

9514 1404 393

Answer:

yes

Step-by-step explanation:

By the "rule of 72", the amount will be doubled in 72/I years, where I is the annual interest rate in percent. That is, it can be estimated to take 72/4 = 18 years to double the $240 investment to $480. It would take another 18 years to double it again to $960. So, to achieve a balance of $1500 will be expected to take more than 36 years. The only reasonable answer choice is the one you have selected.

__

The exact solution is ...

log (1500/240)/log(1 +0.04) ≈ 46.72 years ≈ 47 years.

8 0

3 years ago

The cost of a bus for a field trip was split evenly between the 120 students going. But the day before the trip, 30 more student

Igoryamba

Hey there,

So there would be 150 students × by $1.20 per person would be $180.
_______________________________________________________________

→ All that was needed to do was to do 150 students multiplied by the prices of 1.20. That's it! Final answer would be $180.

Final answer $ $\boxed{180}$

Hope this helps.

~Jurgen

4 0

3 years ago

Read 2 more answers

At the beginning of the year, the number of books owned by a library was 10,000. Since then, it has grown by 1% each month.

aleksklad [387]

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

8 0

3 years ago

There are 6 days until Richard's concert. Susie's concert is 7 days after Richard's. How many days are there until Susie's conce

Rasek [7]

There are 13 days until her concert.

6 0

3 years ago