Answer:
The rule of the arithmetic sequence is 13 - 2n
The 30th term is -47
Step-by-step explanation:
∵ f(n) = 11 and g(n) = -2(n - 1) = -2n + 2
∴ f(n) + g(n) = 11 + -2n + 2 = 13 - 2n
Use n = 1 , 2 , 3 , 4 to check the type of the sequence
∵ n = 1 ⇒ 13 - 2(1) = 11
∵ n = 2 ⇒ 13 - 2(2) = 13 - 4 = 9
∵ n = 3 ⇒ 13 - 2(3) = 13 - 6 = 7
∵ n = 4 ⇒ 13 - 2(4) = 13 - 8 = 5
∵ 11 , 9 , 7 , 5 is an arithmetic sequence with difference -2
∴ The rule of the arithmetic sequence is 13 - 2n
∴ The 30th term = 13 - 2(30) = -47
To determine end behavior, we only have to look at the leading term.
First, the leading term is positive, so we won't have to negate anything.
The leading term has a power that is odd.
Since the exponent is odd, this means that the function goes to positive infinity as x goes to positive infinity.
This also means that the function goes to negative infinity as x goes to negative infinity.
Those are the end behaviors.
Have an awesome day! :)
Answer:
This would mean that the next year her car's value would go down by $2,625. The new value of the car would consequently be $34,875.
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Step-by-step explanation:</u></h3>
<em>Here is how you can solve this problem:</em>
- Okay, so first, let's find 7% of $37,500. To do this, the simple way would be to find first 1% of $37,500.
- 1% of $37,500 is $375. This is because you are moving the decimal point two spaces to the left.
Now that we know that 1% of $37,500 is $375, let's multiply this value by 7.
- Subtract 2625 from 37,500.
Let's say that the next year, her car value goes down by 7% again.
THIS IS THE IMPORTANT PART:
<em>YOU FIND 7% OF THE NEW VALUE, NOT $37,500. YOU WOULD FIND 7% OF $34,875.</em>
<em>Hope this helps! :) </em>
Answer:
£13750
Step-by-step explanation:
263750- 250000 = 13750
