Answer:
The required recursive formula is

Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves

Each year thereafter the number of leaves was 40% more than the year before so that means

For the third year the number of leaves increase 40% than the year before so that means

Similarly for fourth year,

So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,

So there will be 10330 leaves in the 10th year.
2.645751311 (I did it on a scientific calculator, so sorry if they wanted you to show the work..)
State the given in the question
Given that the sum of a number and 3 is subtracted from, the result is 5
State what is to be found in the question
We are to find the number. In other to achieve this, we would follow the steps below:
Step 1: Represent the number with an unknown
Let x represent the number
Step 2: Interpret the given statement mathematically
If x is the number, then the sum of the number and 3 would be

Then the sum of a number and 3 subtracted from 10 would be

Finally, when the sum of a number and 3 subtracted from 10, the result is 5, would be

Step 3: Solve for x in the mathematical interpretation of the given statement
The value of x is as calculated as shown below:

Hence, the number is 5
Since the two numbers vary directly, if Y is quadrupled, X will do the same. 2 times 4 is 8, 15 times 4 is 60.
X = 60.
Hope that helps!! :)
Ten to the third power / 3/10th