Assuming a new car is purchased for 15500 dollars. The value of the car after 6 years is $9709. 17.
<h3>Future value</h3>
Using this formula
Future value=Principal (1-Interest rate)^Number of years
Where:
Principal=15500
Interest rate=7.5%
Number of years=6 years
Let plug in the formula
Future value=$15,500 ×( 1 - 0.075 )^6
Future value=$9.709.169
Future value = $9709. 17(Approximately)
Inconclusion the value of the car after 6 years is $9709. 17.
Learn more about future value here:brainly.com/question/24703884
It looks like this is a system of linear ODEs given in matrix form,
with initial condition x(0) = (-6, 8)ᵀ.
Compute the eigenvalues and -vectors of the coefficient matrix:
Let v be the eigenvector corresponding to λ = 9 + 2i. Then
or equivalently,
Let ; then , so that
and we get the other eigenvalue/-vector pair by taking the complex conjugate,
Then the characteristic solution to the system is
From the given condition, we have
and so the particular solution to the IVP is
which you could go on to rewrite using Euler's formula,
Gauge employee <span>performance thank you and have a nice week</span>
You have to have trust in everything