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choli [55]
3 years ago
15

Last year, Eric grew 48 tomatoes in his garden. This year, he grew 7/8 of that number of tomatoes in his garden. Which statement

is true?
A. Eric grew 7 times the number of tomatoes this year that he grew last year
B. Eric grew slightly fewer tomatoes this year than he did last year
C. Eric grew 8 times the number of tomatoes this year that he grew last year
D. Eric grew half as many tomatoes this year as he grew last year
Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0
The answer is B because he grows less, not more, and 7/8 is greater than 1/2
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Answer:

a_1=1.04

Step-by-step explanation:

We have a geometric  sequence with:

Sn = 89,800, r = 3.4, and n = 10

Where

Sn is the sum of the sequence

r is the common ratio

a_1 is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

S_n=\frac{a_1(1-r^n)}{1-r}

Then:

89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}

Now we solve for a_1

89,800(1-3.4)=a_1(1-(3.4)^{10})

a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04

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