Answer:
The percent increase per year is 4%
Step-by-step explanation:
we have

This is a exponential function of the form

where
y represent the monthly rent at Lake View Apartments
x represent the number of years
a is the initial value (y-intercept)
b is the base
r is the rate or percent increase

The percent increase per year is the base of the exponential function decreased by 1.
so

In this problem we have
---> initial value

Therefore
The percent increase per year is 4%
Answer: There are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.
Explanation:
Since we have given that
Number of cups of cocoa is given by

Number of cups of milk is given by

Since there are total number of cups of ingredients = 14
First, we find out the ratio of cups of cocoa and milk i.e.

So, Number of cups of cocoa is given by

Number of cups of milk is given by

Hence, there are 8 cups of cocoa and 6 cups of milk to make the standard recipe for Hershey's chocolate.
We know, Volume of a Cube = Edge³
so, it would be: f(v) = a³
Hope this helps!
Answer:
51,000,000,000
Step-by-step explanation:
the 10^8 usually determines how many 0's will be added to the right side of the number
thus- 510x10^8 = 51,000,000,000
Answer:
The same ratio indicates that there is a proportional relationship between y and x.
Step-by-step explanation:
We know when y varies directly with x, the equation is
y ∝ x


Here,
k is the constant of proportionality.
The ratio y/x indicates that k is a constant of proportionality.
Thus, the same ratio indicates that there is a proportional relationship between y and x.
When x increases, y increases, and when y decreases, x also decreases.