We are given the functions:
P (x) = 0.9 x
C (x) = x – 150
We can generate two composition functions from the given
two functions in the form of:
<span>P [C (x)] and
C [P (x)]</span>
Since the problem states that we are to find for the final
price after a 10% discount is followed by a $150 coupon then we should
find for:
C [P (x)]
The value of C [P (x)] can obtained by plugging in the
value of P (x) into x in the equation of C (x), therefore:
C [P (x)] = [0.9 x] – 150
<span>C [P (x)] = 0.9 x – 150 (ANSWER)</span>
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
You know that the other angles must both be acute, as the sum of angles in a triangle is always 180°. since one is more than 100, the other two must add up to less than 80, making both acute.
Well we know there are 12 months in 1 year
So since she lived 9 already lets multiply that
12 x 9 = 108
so far she lived 108 months but wait! we still need to add 1/4 of a year
lets find out how many months 1/4 of a year is by dividing 12 and 4
sooo heres the math
12 ÷ 4 = 3
so she lived another 3 months.
Lets add on 108 and 3
108 + 3 = 111
so she lived 111 months her entire life
hope this helps
and dont forget 2
MARK ME BRAINLIEST! :P
