Answer:
Verified
Step-by-step explanation:
Let A matrix be in the form of
Then det(A) = ad - bc
Matrix A transposed would be in the form of:
Where we can also calculate its determinant:
det(AT) = ad - bc = det(A)
So the determinant of the nxn matrix is the same as its transposed version for 2x2 matrices
We have been given that Jackson purchases a new car for $48,000. The car's value can be modeled by the following exponential function: where y represents the car's value and t represents time in years. We are asked to find the decay rate as a percentage.
We know that an exponential decay function is in form , where,
y = Final value,
a = Initial value,
r = Decay rate in decimal form,
x = time.
Upon comparing our given function with standard decay function
, we can see that
.
Let us solve for r.
Let us convert 0.24 into percentage.
Therefore, the decay rate is 24%.
