Answer:
I think its 68 + 1 = 69
Step-by-step explanation:
<h2>
Answer:</h2>
The derivative of the function f(x) is:

<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as:

We have:

( Since,
)
Hence, we get:

Also, by using the definition of f'(x) i.e.

Hence, on putting the value in the formula:

Hence, the derivative of the function f(x) is:

Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

This is equivalent to:

By substitution:

Rearranging yields:

Combine like terms:

Hence:

Answer:
14800
Step-by-step explanation:
The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;
I = P x R x T / 100 ------------- (i)
Given:
Principal (P) = Initial amount being put into the account = 10000
Rate (R) = The interest rate being offered by the account manager = 4%
Time (T) = Time taken = 12 years
Substitute these values into equation (i) as follows:
I = 10000 x 4 x 12 / 100
I = 4800
Therefore, the initial amount will yield an interest of 4800 for those 12 years.
The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e
Amount = P + I
Amount = 10000 + 4800
Amount = 14800
If you have stood in front of a fireplace or near a campfire, you have felt the heat transfer known as radiation. The side of your body nearest the fire warms, while your other side remains unaffected by the heat. Although you are surrounded by air, the air has nothing to do with this transfer of heat. Heat lamps, that keep food warm, work in the same way. Radiation is the transfer of heat energy through space by electromagnetic radiation.