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katiaciceron3912
07.01.2022 •
Mathematics
Match each polynomial equation to its end behavior. y = -x5 − x4 − x3 − x2 − x − 1 y = x5 + x4 + x3 + x2 + x + 1 y = -x6 + x5 + x4 + x3 + x2 + x + 1 y = x6 + x5 + x4 + x3 + x2 + x + 1 increases as x approaches positive and negative infinity arrowRight decreases as x approaches positive infinity and increases as x approaches negative infinity arrowRight increases as x approaches positive infinity and decreases as x approaches negative infinity arrowRight decreases as x approaches positive and negative infinity arrowRight
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Ответ:
Ohn has paid $5730 in first 20 installments
Step-by-step explanation:
As per the question Ohn payed the first installment =$100
Next month Ohn payed the installment = 1.1×$100
Similarly subsequent installment =1.1×1.1×$100
So we can write first 20 installments as
⇒100+100×1.1+100×1.1²+100×1.1³.........+100×![1.1^{20}](/tpl/images/0022/7619/72770.png)
And we know in geometric series
1+x²+x³+...........
= (1-
)÷(1-x)
Therefore sum of first 20 installments will be
⇒100(1+1.1²+1.1³............
=(1-
)÷(1-1.1)
= 100(1-6.73)÷(-.1)
=100×5.73÷.1
= $5730
So Ohn has paid $5730