Answer:
Step-by-step explanation:
Given the approximate demand function of night drink expressed as;
p^2+200q^2=177,
p is the price (in dollars) and;
q is the quantity demanded (in thousands).
Given
p = $7
q = 800
Required
dq/dp
Differentiating the function implicitly with respect to p shown;
2p + 400d dq/dp = 0
400q dq/dp = -2p
200qdq/dp = -p
dq/dp = -p/100q
substitute p and q into the resulting equation;
dq/dp = -7/100(800)
dq/dp = -7/80000
dq/dp = -0.0000875
This means that the rate of change of quantity demanded with respect to the price is -0.0000875
Answer:
Step-by-step explanation:
Remember that our original exponential formula was y = a b x. You will notice that in these new growth and decay functions, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r). The growth "rate" (r) is determined as b = 1 + r.
An exponential function of a^x (a>0) is always ln(a)*a^x, as a^x can be rewritten in e^(ln(a)*x). By deriving, the term (ln(a)) gets multiplied with a^x. The derivative shows, that the rate of change is similiar to the function itself. For 0<a<1, ln(a) becomes negative and so is the rate of change.
Linear models are used when a phenomenon is changing at a constant rate, and exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly.
Answer: a. 55
Step-by-step explanation:
The formula to find the geometeric mean between two numbers a and b is given by :-
The given numbers are : 275 and 11
The geometric mean of 275 and 11 is given by :-
Hence, the geometric mean of 275 and 11 is 55.
So , the correct option is a. 55 .
To solve this problem you must apply the proccedure below:
1. You have that:
- Sarah sights the top of the statue of liberty at an angle of elevation of 61°.
- She is standing 166 feet from the base of the statue.
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- Sarah is 5.5 feet tall.
2. Therefore, the heigth of the statute is:
Tan(61°)=x/166
x=(166)(</span>Tan(61°)
x=299.47 feet
Height of the statue=299.47 feet+5.5 feet
Height of the statue=304.97 feet
