We may log in directly in our scientific calculator the given value ln 7 and get an answer of 1.9459. On the other hand, we can rewrite the expression as,
log to the base e or 7 = x
which can be written as,
e^x = 7
The value of x from this is still equal to 1.9459.
Given:
Side length of a cube is
units.
To find:
The equation for the volume of the cube.
Solution:
We know that, the volume of a cube is:

Where, a is the side length of the cube.
Putting
, we get

![[\because (ab)^m=a^mb^m]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28ab%29%5Em%3Da%5Emb%5Em%5D)
![[\because (a^m)^n=a^{mn}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%5Em%29%5En%3Da%5E%7Bmn%7D%5D)
So, the volume of the cube is
cubic units.
Therefore, the correct option is A.
Given:
Product of two consecutive odd integers is 99.
To find:
The two consecutive odd integers.
Solution:
Let the two consecutive odd integers are x and (x+2).
Product of two consecutive odd integers is 99.


Splitting the middle term, we get




If x=-11, then second odd integer is

If x=9, then second odd integer is

Therefore, the two consecutive odd integers are either -11, -9 or 9, 11.
The total amount received by Scott will be given by:
Total amount=(amount received after submission)+(Royalty)
amount received after submission=$17500
Royalty=7.5%
Total amount of cash received after selling 12241 copies will be:
12241x51.95
=635,919.95
amount received for royalty
=7.5/100×635,919.95
=47,694
Total amount received=47,694+17500
=$65194