at the beginning of each year for 14 years, sherry kardell invested $400 that earns 10% annually. what is the future value of sherry's account in 14 years?

Respuesta :

It will be 2400 because 4 times 1 equal to 4 them multiply it by 14 and I got 2400

Answer:

The future value is $12308.99

Step-by-step explanation:

Since Sherry Kardell is paying at the beginning of each year, therefore the annuity is due.

So,

[tex]A = (1+r)\times P\times \left [ \frac{(1+r)^{n}-1}{r} \right ][/tex]

[tex]A = (1+0.1)\times400\times \left [ \frac{(1+0.1)^{14}-1}{0.1} \right ][/tex]

[tex]A = (1.1)\times400\times \left [ \frac{(1.1)^{14}-1}{0.1} \right ][/tex]

[tex]A = 440\times \left [ \frac{3.797-1}{0.1} \right ][/tex]

[tex]A = 440\times \left [ \frac{2.797}{0.1} \right ][/tex]

[tex]A =12308.99[/tex]

The future value is $12308.99