Can someone please help me asap
1 answer:
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Answer:
1) x ≤ 2 or x ≥ 5
2) -6 < x < 2
Step-by-step explanation:
1) We have x^2 - 7x + 10, so let's factor this as if this were a regular equation:
x^2 - 7x + 10 = (x - 2)(x - 5)
So, we now have (x - 2)(x - 5) ≥ 0
Let's imagine this as a graph (see attachment). Notice that the only place that is above the number line is considered greater than 0, and that's when x ≤ 2 or x ≥ 5 (the shaded region).
2) Again, we have x^2 + 4x - 12, so factor this as if this were a regular equation:
x^2 + 4x - 12 = (x + 6)(x - 2)
So now we have (x + 6)(x - 2) < 0
Now imagine this as a graph again (see second attachment). Notice that the only place that is below 0 (< 0) is when -6 < x < 2 (the shaded region).
Hope this helps!
Answer:
Option D
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Asako deposits $1000 into a bank that pays 1.5% interest compounded annually. Which inequality can she use to determine the minimum time in years 't' she needs to wait before the value of the account is 20% more than its original value?
A. 1000 . 1.01t > 1200
B. 1000 . 1.01t > 1.2
C.
D.
Formula to get the final amount by compounding is,
Final amount =
Here, r = rate of interest
n = number of compounding in a year
t = Time or duration of investments (In years)
Initial amount = $1000
Final amount = 20% more than its original value = $(1000 + 0.2×1000) = $1200
r = 1.5% = 0.015
Inequality that represents the final amount 20% more than the initial value,
> 1200
> 1.2
Therefore, Option D will be the correct option.