Cedric and Insha solved the same equation using the calculations below.
1 answer:
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Answer:
Step-by-step explanation:
Birth Rate in 1994 = 14.6 births per thousand population.
Birth Rate in 2004 = 14.32 births per thousand population.
A linear equation is of the form: y=mx+c
Where:
- x=years after 1994
- y=the birth rate
- m=Yearly Birth Rate
First, we determine the birth rate per year
Therefore, a linear equation that relates y in terms of x is of the form:
When x=0, y=14.6
14.6=-0.028(0)+c
c=14.6
Therefore, the linear equation that relates y in terms of x is:
The sum of the given series can be found by simplification of the number
of terms in the series.
- A is approximately <u>2020.022</u>
Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
Therefore, for the last term we have;
2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
Which gives;
- A ≈ <u>2020.022</u>
Learn more about the sum of a series here: