Answer:
(a) sin(x) + cos(x)
(b) sin(x) + cos(x)
(c) Both answers are equivalent
Step-by-step explanation:
(a) The given function is:

According to the quotient rule:

Applying the quotient rule:

This can be simplified to:

(b) Simplifying in terms of sin(x) and cos(x):

(c) As proven above, both answers are equivalent.
Find current interest:
=$2543.32 * 17.4%
=2543.32 * 0.174
=442.537
Add the interest to the current balance:
=2543.32 + 442.537
=2985.857
Add new transaction:
=2985.857 + 320
=3305.857 rounded to 3305.86
The answer is C) $3305.86
Hope this helps! :)
Rational: Any number that can be expressed as a fraction (or a ratio.)
Irrational: Not rational, any number that can't be written down as a fraction. Some examples include

,

, and so on.
Answer:
p = -5
Step-by-step explanation:
Answer:
h = 10sin(π15t)+35
Step-by-step explanation:
The height of the blade as a function f time can be written in the following way:
h = Asin(xt) + B, where:
B represets the initial height of the blade above the ground.
A represents the amplitud of length of the blade.
x represents the period.
The initial height is 35 ft, therefore, B = 35ft.
The amplotud of lenth of the blade is 10ft, therefore A = 10.
The period is two rotations every minute, therefore the period should be 60/4 = 15. Then x = 15π
Finally the equation that can be used to model h is:
h = 10sin(π15t)+35