Hi!!
Okay, the discriminant is -36, and using the quadratic equation, it should be
-1 +/- 3<em>i</em>
The turtle population will be 486 after 5 years.
<u>Step-by-step explanation</u>:
The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.
where,
- a = first term
- r = common ratio
<u>The formula to find the nth term in GP is :</u>
nth term = 
The given sequence 6,18,54.
In this sequence,
- The first term, a = 6
- The common ratio, r = 18/6 = 3
5th term = 
⇒ 
⇒ 6
81
⇒ 486
Therefore, after 5 years the population will be 486.
First you make -1 3/5 into an improper fraction, -8/5
Since you're dividing a fraction by another fraction you'd change it to -8/5 × -3/2
(Don't forget to flip -2/3 to -3/2)
when you multiply it it'd be 24/10
(It is a positive number because when you multiply two negative numbers it becomes positive)
24/10 as a mixed fraction is 2 1/5
First, to estimate we can round 53.82 up to 55.00. Then you can look at it like this: when you divide 100 by 20 you get 5, so 20% is one fifth of 100. Therefore, we want to find one fifth of $55. To do this, you multiply 55*1/5. When you multiply the numerators by each other and the denominators by each other, you get 55/5. When you divide the numerator and denominator by 5, you get 11/1 or $11.
Hope this helps
Answer:
Step-by-step explanation:
The explanation is given in the attached picture below