The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.
1 answer:
Answer:
- L(t) = 727.775 -51.875cos(2π(t +11)/365)
- 705.93 minutes
Step-by-step explanation:
a) The midline of the function is the average of the peak values:
(675.85 +779.60)/2 = 727.725 . . . minutes
The amplitude of the function is half the difference of the peak values:
(779.60 -675.85)/2 = 51.875 . . . minutes
Since the minimum of the function is closest to the origin, we choose to use the negative cosine function as the parent function.
Where t is the number of days from 1 January, we want to shift the graph 11 units to the left, so we will use (t+11) in our function definition.
Since the period is 365 days, we will use (2π/365) as the scale factor for the argument of the cosine function.
Our formula is ...
L(t) = 727.775 -51.875cos(2π(t +11)/365)
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b) L(55) ≈ 705.93 minutes
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Answer:
The total price of pounds of apples is <u>$6.48</u>.
Step-by-step explanation:
Given:
Last week,the price of apples at a grocery store was 1.60 per pound.This week,apples at the same grocery store are on sale for a 10% discount.
Now, to find the total price of 4 1/2 pounds of apples this week at the grocery store.
The price of apples at a grocery store last week was = $1.60 per pound.
This week apples at the same grocery store is on sale of 10% discount.
Thus, the price of apples at a grocery store this week is:
So, the price of apples per pound this week is $1.44.
Now, to get the total price of pounds of apples by using unitary method:
If 1 pound of apples cost =
Then, pound of apples cost =
Therefore, the total price of pounds of apples is $6.48.