Answer:
It will take 146 days to earn an interest of $80.
Step-by-step explanation:
The simple interest formula is:
It is provided that:
I = $80
P = $4,000
r = 5% p.a.
Compute the time required as follows:
Thus, it will take 146 days to earn an interest of $80.
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
In this question:
Composite function:
The composite function is:
At x = 1
So
When x = 1, (f◦g)(x) is -2.
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Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
