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.
Irrational numbers cant be fraction and can be written as a decimal. An irrational number has Endless repeating numbers
Answer: it will take 4 months for the amount to be the same and the amount would be $95
Step-by-step explanation:
Let x represent the number if months it will take for the two accounts have the same amount of money.
Christiana opened her account with $55 and plans to deposit $10 every month. This means that the amount that in the account after x months would be
10x + 55
Marlena opened her account with $35 and plans to deposit $15 every month. This means that the amount that in the account after x months would be
15x + 35
For the amount in the accounts to be the same, the number of months would be
15x + 35 = 10x + 55
15x - 10x = 55 - 35
5x = 20
x = 20/5
x = 4
The amount would be
15 × 4 + 35
= 60 + 35
= $95
Answer:
No
Step-by-step explanation:
If q=30, L=5, and K=15 is a point on the production function q=f(L, K).
Production function is an equation that expresses the relationship between the quantities of factors of production used and the amount of product obtained under the assumption that the most efficient available methods of production are used.
The combination q=30, L=5, and K=16 cannot be a point because we assume production functions are efficient.
Answer:
x = 2
Step-by-step explanation:
Given
1 + x = 7 - 2x ( add 2x to both sides )
1 + 3x = 7 ( subtract 1 from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
