using the formula mv=p(1+rt), determine the maturity value of a loan with the following parameters: principal= 10,985 rate=9 1/2% time= 11 months

Respuesta :

So here we have the formula:

[tex]mv=p(1+rt)[/tex]

Where mv is the maturity value, p is the principal amount, r is the rate and t is the time in months.

If we replace our values:

p = 10,985

r = 9 1/2%

t = 11

First of all, remember that 9 1/2 can be written as:

[tex]9\frac{1}{2}=\frac{19}{2}=9.5[/tex]

To find the maturity value with the given data, we should replace in the equation as follows:

[tex]mv=10,985(1+\frac{9.5}{100}(11))[/tex]

Remember that 9.5% = 9.5/100

So, the only thing we have to do now is to operate:

[tex]\begin{gathered} mv=10,985(1+1.045) \\ mv=10,985(2.045) \\ mv=22464.3 \end{gathered}[/tex]

And that's the maturity value.