Respuesta :

DeanR

$10,000 at 7% continuous compounding for 8 years

[tex]10000 e^{0.07 (8)} = 17506.7[/tex]

Answer: A

Answer:

A

Step-by-step explanation:

Use the formula for continuous compound interest:

[tex]a=pe^{rt}[/tex]

where p is the principal, r is the interest rate, and t is the time

We know that 10,000 is the principal, the interest rate is 7%, and the time is 8 years, so we can substitute these values in. First, convert 7% to a decimal by dividing by 100

7/100=0.07

[tex]a=10,000e^{0.07(8)}[/tex]

Multiply the numbers in the exponent

[tex]a=10,000e^{0.56}[/tex]

Multiply

a=17506.725003

Rounded to the nearest cent/hundreth

a=17506.72

So, choice A is correct