Answer:
The last expression is correct
Step-by-step explanation:
We have been given the following expression for simplification;

The bases of the two expressions are the same. They are both equal to 4. When multiplying numbers with the same base, we simply add their exponents. In this case our exponents are;
4 and -9
adding them we have;
4 + (-9) = -5
The simplified expression thus becomes;

Answer:
Step-by-step explanation:
The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...
If 2 is a_0, 6 is a_1, 18 is a_2, etc.
a_n=2*3^n
For the 14th term, which is a_13, the value is 2*3^13.
Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.
3188646
Answer:
$542
Step-by-step explanation:
we know that
The equation of a exponential decay function is given by

where
y is the value of the lawnmower
x is the time in years
a is the initial value
r is the rate of change
we have

substitute


For x=5 years

Divide 3 by for to get 0.75 but that is a fraction