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Lubov Fominskaja [6]
3 years ago
8

Write 585% as a decimal and as a fraction.

Mathematics
1 answer:
Pepsi [2]3 years ago
3 0
Let's start by turning it into a decimal.
- to turn any percent into a decimal you move the decimal point two places to the left.
Decimal= 5.85

To turn into fraction you know 5 is the whole number and you have 85 hundredths. Just put that in fraction form.
5 and 85/100
Now simplify by dividing both by 5
Answer is
5 and 17/20


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Answer:

\huge\boxed{6,\ -30;\ 78;\ -246;\ 690}

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a_1=6\\a_n=-3a_{n-1}-12\qquad n\geq2\\\\\text{Substitute}\ n=2,\ n=3,\ n=4,\ n=5\ \text{to}\ a_n=-3a_{n-1}-12:\\\\\text{for}\ n=2\\\\a_2=-3a_{2-1}-12=-3a_1-12\\\\\text{substitute}\ a_1=6\\\\a_2=-3(6)-12=-18-12=-30\\\\\text{for}\ n=3\\\\a_3=-3a_{3-1}-12=-3a_2-12\\\\\text{substitute}\ a_2=-30\\\\a_3=-3(-30)-12=90-12=78

\text{for}\ n=4\\\\a_4=-3a_{4-1}-12=-3a_3-12\\\\\text{substitute}\ a_3=78\\\\a_4=-3(78)-12=-234-12=-246\\\\\text{for}\ n=5\\\\a_5=-3a_{5-1}-12=-3a_4-12\\\\\text{substitute}\ a_4=-246\\\\a_5=-3(-246)-12=702-12=690

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