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Sidana [21]
3 years ago
8

93.8% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm You planted 488 acres of corn

last season. You sold all your corn: 8,120 bushels in August and 64,100 bushels in September. What is your yield per acre, rounded to the nearest bushel per acre?
Mathematics
1 answer:
irakobra [83]3 years ago
6 0

Answer:

  148

Step-by-step explanation:

The total yield was ...

  64,100 +8,120 = 72,220 bushels

The average yield was ...

  (72,200 bu)/(488 ac) = 148 bu/ac

Your yield per acre is 148 bushels.

____

<em>Comment on corn yield</em>

Average corn yield in the US in 2018 was 176.4 bushels per acre. The highest was 270 bu/ac in a southeastern Washington county.

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Given the sequence, 26, 13, 6.5, ..... find a) the 10th term and b) the sum of the first 18 terms
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Answer:

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Step-by-step explanation:

We are given the sequence 26, 13, 6.5, ..... we need to find

a) 10th term

b) Sum of first 18 terms

Before solving we need to determine if the sequence is arithmetic or geometric

The sequence is arithmetic if common difference d is same.

The sequence is geometric if common ratio r is same.

Finding common difference d: 13-26 = -13, 6.5-13= -6.5

As common difference is not same so, the sequence is not arithmetic.

Finding common ratio r : 13/26 =0.5, 6.5/13= 0.5

As common ratio is same so, the sequence is geometric.

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As common difference is not same so, the sequence is not arithmetic.

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The formula to find 10th term is: a_n=a_1r^{n-1}

We have a₁=26 and r = 0.5 n=10

a_n=a_1r^{n-1}\\a_{10}=26(0.5)^{10-1}\\a_{10}=26(0.5)^{9}\\a_{10}=0.051

So, 10th term is 0.051

b) Sum of first 18 terms

The formula to find sum of geometric series is: S_n=\frac{a(1-r^n)}{1-r}

where a= 1st term, r = common ratio and n= number of terms

In the given sequence we have

a=26, r=0.5 and n=18

Finding sum of first 18 terms

S_n=\frac{a(1-r^n)}{1-r}\\S_{18}=\frac{26(1-(0.5)^{18}}{1-0.5}\\S_{18}=\frac{26(0.99)}{0.5}\\S_{18}=\frac{25.74}{0.5}\\S_{18}=51.48

So, sum of first 18 terms of given sequence is 51.48

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