Answer:
minimum
Step-by-step explanation:
Given a quadratic in standard form : y = ax² + bx + c : a ≠ 0
Whether the function is maximum or minimum can be determined by consideration of the sign of the coefficient a
• If a > 0 then minimum
• If a < 0 then maximum
For y = - 4 + 3x² the value of a is 3 > 0
Hence y = - 4 + 3x² is a minimum
Answer:
(c) $80
Step-by-step explanation:
Each discounted price corresponds to the original price multiplied by a factor related to the discount. For a discount fraction of 'd', the multiplier is (1 -d).
This means you can use any of the lines in the table to find the original price.
<u>5% disount</u>: (1 -5%)·p = $76 . . . . where p is the original price
p = $76/0.95 = $80 . . . . . . . the original price
<u>10% discount</u>: (1 -10%)·p = $72
p = $72/0.90 = $80
<u>25% discount</u>: (1 -25%)·p = $60
p = $60/0.75 = $80
_____
<em>Additional comment</em>
The table values for 5% and 10% differ by 5% and $4. That means 5% of the original price is $4. There are two things you can do with this:
- add back that 5% to the 5%-discounted price: $76 +4 = $80
- multiply that 5% by 20 to get 100% of the original price: 20(5%) = 20($4) ⇒ 100% = $80.
Answer:
C. 1.8027
Step-by-step explanation:
The exponential population growth model is given by:
In which P(t) is the population after t years, 
is the initial population and r is the growth rate.
At the beginning of a population study, the population of a large city was 1.65 million people. Three years later, the population was 1.74 million people.
This means that 
Applying this to the equation, we find r. So
Applying ln to both sides
So
What would be the population of the city 5 years after the start of the population study?
This is P(5).
So the correct answer is:
C. 1.8027
