Respuesta :

Answer:

The answer is $48317.14.

Step-by-step explanation:

Payment or pmt = 5000

rate = 7% compounded semiannually

n = [tex]6\times2=12[/tex]

We have to find p

The formula is :

[tex]p=pmt[\frac{1-\frac{1}{(1+r)^{n}}}{r}][/tex]

r = [tex]\frac{7}{2(100)} =0.035[/tex]

Substituting the values we get;

[tex]p=5000[\frac{1-\frac{1}{(1+0.035)^{12}}}{0.035}][/tex]

=> [tex]p=5000[\frac{1-\frac{1}{(1.035)^{12}}}{0.035}][/tex]

=> [tex]p=5000[\frac{1-0.66178}{0.035}][/tex]

=> [tex]p=5000[\frac{0.33822}{0.035}][/tex]

= $48317.14

The answer is $48317.14.