Answer:
The interest is $1.5 and the amount is $61.5.
Step-by-step explanation:
Answer:
x is more than or equal to 77
Step-by-step explanation:
Answer:
The equation i.e. used to denote the population after x years is:
P(x) = 490(1 + 0.200 to the power of x
Step-by-step explanation:
This problem could be modeled with the help of a exponential function.
The exponential function is given by:
P(x) = ab to the power of x
where a is the initial value.
and b=1+r where r is the rate of increase or decrease.
Here the initial population of the animals are given by: 490
i.e. a=490
Also, the rate of increase is: 20%
i.e. r=20%
i.e. r=0.20
Hence, the population function i.e. the population of the animals after x years is:
P(x) = 490(1 + 0.200 to the power of x
Here are a few rules you need to know for this equation:
- Multiplying exponents of the same base:
- Dividing exponents of the same base:
- Turning a negative exponent to a positive one:
So this is our algebraic expression: 
Firstly, multiply 3^-4 and 3^2: 
Next, divide:
Next, turn the negative exponent into a positive one: 
<u>Your final answer is 3/2, or 1.5.</u>
