Answer:
sorrie
Step-by-step explanation:
no answer here :)
Answer:
a.
b.
Step-by-step explanation:
First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:
Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:
The rate is negative as it represents the amount of caffeine leaving the body at certain time.
Answer:
Expresion:
Evaluating:
Step-by-step explanation:
By definition, a product is the result of a multiplication. For example:
In this example "a" and "b" are the factors and "c" is the product.
Therefore, given:
" of the product and "
You can observe that it indicates that the result obtained by multiplying and , is multiplied by .
Knowing this, you can write the following expression:
Finally, evaluating, you get this result:
Quarterly compounding after 5 years nets $4,133.24 in compounded interest.
As for simple interest, I made an assumption that there was a 5% per quarter interest.
20% (5yrs * 4 qtrs.) gives total interest on $2,500 in the amount of $500.
Difference is $3,633.24
Answer:
There are at least two transformations that would affect the starting point of a square root: (i) <em>Horizontal translation</em>, (ii) <em>Vertical translation</em>.
Step-by-step explanation:
Let the square be represented by the following function:
(1)
Which means that function has only valid solutions for every element of greater or equal to 0. In particular, the starting point is .
We can change the starting point of this function by horizontal translation, which is defined below:
(2)
In other words, we create the resulting function:
(3)
Another, possibility is using a vertical translation, whose definition is defined below:
(4)
In other words, we create the following function:
(5)
Hence, there are at least two transformations that would affect the starting point of a square root: (i) <em>Horizontal translation</em>, (ii) <em>Vertical translation</em>.