Answer:
20 miles
Step-by-step explanation:
We are given that
Person traveled total distance by bike=2 1/2 miles
Person traveled total distance by bike==
Time taken by person ,t=1/8 hour
We have to find the distance traveled by person bike in an hour.
We know that
Rate==
Using the formula
Rate=
miles/hr
Rate=20mph
In 1 hour person bike traveled distance=20 miles
Answer:
1.

E(3) = 0.29
2. See Below
Step-by-step explanation:
1.
According to the formula we would need the derivative, so lets first calculate the derivative of f(p) given.
The rules to use would be 
Also, remember to use chain rule if there is a function inside a function. So we differentiate the "inside" function again.
Now, lets differentiate:

Now, the E(p):

We find E(3) by substituting 3 into "p":

2.
When E(p) = 1, it means the price elasticity of demand is "1". It is the called Unitary Elastic Demand. It means that for every unit change in price, there is the same unit change in demand. The changes of demand and price are proportional to each other.
equation- 9 × 5 = 45
mr. stevens worked for 45 hours last week
So first, this is point slope form. The first step is to distribute.)

Then add 4 to both sides.

Then add 2x and it becomes
Answer:
It will take 554 years
Step-by-step explanation:
Here, we want to estimate the time when t will be $50
We can rewrite the exponential equation as;
y = 200(1-0.0025)^t
In this case, y = $50 and we want to calculate t
so, we simply proceed to substitute the value 50 for y
we have this as ;
50 = 200(1-0.0025)^t
50/200 = (1-0.0025)^t
1/4 = 0.9975^t
0.25 = 0.9975^t
Take the natural logarithm of both sides
ln 0.25 = ln 0.9975^t
ln 0.25 = t ln 0.9975
t = ln 0.25 / ln 0.9975
t = 553.8 = 554 years
The bike will be $50 in 554 years