Answer:
x = 10
Explanation:
Using Pythagoras Theorem:
Solve:
8² + 6² = x²
x² = 64 + 36
x² = 100
x = √100
x = 10
I think x = 78
because 21/14 = 1.5
so x = 1.5*52
x = 78
Answer:
Population of the 48th generation will be 4469.
Step-by-step explanation:
Recursive formula by which the population is increasing,

L₀ = 4
Common difference 'd' = 95
Recursive formula represents a linear growth in the population.
Therefore, explicit formula for the given sequence will be,
= L₀ + (n - 1)d [Explicit formula of an Arithmetic sequence]
Here n = Number of terms
L₄₈ = L₀ + (48 - 1)(95)
= 4 + 4465
= 4469
Therefore, population of the 48th generation will be 4469.
Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the value of the home
x is the number of years
a is the initial value
r is the rate of change
we have

substitute

