Same as the car one
A=Pe^(rt)
when it is a decay, make r negative
P=23781 and r=-0.032 and t=17
A=23781e^(-0.032*17)
A=23781e^(-0.554)
A=13803.01
so about 13803 people is the population after 17 years
Answer:
8064
Step-by-step explanation:
14 x 12= 168
168 x 48= 8064
3( x+ 3(4x-5))
3x + 9(4x-5)
3x + 36x - 45
39x - 45 is equivalent to 3( x+ 3(4x-5))
---------------------------------------------
Define x and y
---------------------------------------------
Let x be the amount of the cream (which has 2.5% of hydrocortisone)
Let y be the amount of the water-washable base. (which has 0% of hydrocortisone)
---------------------------------------------
Construct the 2 equations:
---------------------------------------------
Both x and y must add up to 120g
⇒ x + y = 120
Both x and y must add up to only 1% of hydrocortisone.
⇒0.025x + 0.0y = 0.01 x 120
⇒0.025x = 1.2
---------------------------------------------
Solve x and y:
---------------------------------------------
x + y = 120 ----------------- (equation 1)
0.025x = 1.2 ----------------- (equation 2)
---------------------------------------------
From equation 2:
---------------------------------------------
0.025x = 1.2
x = 1.2 ÷ 0.025
x = 48
---------------------------------------------
Substitute x = 48 into equation 1:
---------------------------------------------
x + y = 120
48 + y = 120
y = 120 - 48
y = 72
-------------------------------------------------------------------------------------------------------
Answer: 48g of 2.5% of the cream and 72g of the water washable base are needed to make 120g of the prescription.
-------------------------------------------------------------------------------------------------------