In this sequence, our common ratio is -3 (each value is -3 times the previous value). The first (or 1th) term of the sequence is 6, so we can form our equation:
Now we have to find the 11 term. To do so, we plug 11 into our equation where the x would be. Once that's done, we do the math as follows:
(plug in)
(simplify by subtracting 1 from 11 to get 10)
(simplify by calculating 3 to the power of 10 to get 59049)
(solve by multiplying 6 by 59040 to get 354294
Therefore, our 11th term in the sequence is 354394.
Answer: $2,000
Step-by-step explanation:
Your insurance companies limit is 25,000. You only need 2,500 but there is a deductible. You will get 2k
Using linear function concepts, it is found that the speed of the motorboat is of 22 miles per hour.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each second, the position increased by 22, hence the slope is of 22. Since velocity is the distance divided by the time, which in this problem is the slope, the speed of the motorboat is of 22 miles per hour.
More can be learned about linear function concepts at brainly.com/question/24808124
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Answer:
1
Step-by-step explanation:
