Answer:
Step-by-step explanation:
Let r represent red token,
Let o represent orange token,
Let y represent yellow token
Let g represent green token,
A red token is worth twice as much as an orange token. It means that
r = 2o
An orange token is worth 5 less a yellow token. It means that
o = y - 5
A yellow token is worth 15 less than a green token. It means that
y = g - 15
A green token is worth half as much as a blue token. It means that
g = b/2
a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be
Substituting g = B/2 into y = g - 5, it becomes
y = B/2 - 15
Step-by-step explanation:
cot x + 2 tan x + tan³ x
Write in terms of sine and cosine:
(cos x / sin x) + 2 (sin x / cos x) + (sin³ x / cos³ x)
Find the common denominator:
(cos⁴ x / (sin x cos³ x) + 2 (sin² x cos² x / (sin x cos³ x)) + (sin⁴ x / (sin x cos³ x))
Add:
(cos⁴ x + 2 sin² x cos² x + sin⁴ x) / (sin x cos³ x)
Factor:
(sin² x + cos² x)² / (sin x cos³ x)
Pythagorean identity:
1 / (sin x cos³ x)
Multiply top and bottom by cos x:
cos x / (sin x cos⁴ x)
Simplify:
cot x sec⁴ x
Answer:
The enrollment after 5 years is 10,724
Step-by-step explanation:
Generally, we can have the depreciation formula written as follows;
A = P(1 - r)^t
A is the number of enrollment in after a certain number of years t
P is the initial population which is 13,500
r is the rate of depreciation which is 4.5% = 4.5/100 = 0.045
t = 5 years
Substituting these values, we have it that;
A = 13,500(1-0.045)^5
A = 10,723.84
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Answer:
xy=3/4
Step-by-step explanation:
since it says the "product"
it is x(y)
3/4 goes after the = sign
