Answer:
Step-by-step explanation:
The amplitude (A) and the mean (M) temperature are given by:
The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:
Answer:
9
Step-by-step explanation:
So first I created 2 distance forumlas and set them equal to each other
then I simplified them
when k = 9, the two distances are equal
(c/b) - x = 2d
(c/b) = 2d + x
c = b(2d + x)
c = 2db + bx
ac + bd = x
ac = x - bd
c = (x - bd) / a OR c = (x/a) - (bd/a)
Answer:
(4t − 3) (t − 6)
Step-by-step explanation:
Using AC method:
Given a quadratic ax² + bx + c, find factors of ac that add up to b. Divide those factors by a and reduce. The denominators become the coefficients and the numerators become the constants.
Here, a = 4, b = -27, and c = 18.
ac = 4 × 18 = 72
Factors of 72 that add up to -27: -3 and -24
Divide factors by a: -3/4 and -24/4
Reduce: -3/4 and -6/1
So the factored expression is:
(4t − 3) (t − 6)
Number of weeks in a year: 52
Weeks in 7 years: 52 x 7 = 364
Final amount = Initial amount x (1 + interest)^(time period)
Final amount = 10,250 x (1.09)³⁶⁴
Final amount = $4.3 x 10¹⁷
