You put $2000 into an account earning 4% interest compounded continuously. Find the amount in the account at the end of 8 years.

Respuesta :

Answer:

You'll need the attached formula.

Total = Principal * e ^ (rate * years)

rate = .04

Total = 2,000 * 2.718281828 ^ (.04 * 8)

Total = 2,000 * 2.718281828 ^ (.32)

Total = 2,000 * 1.3771277643

Total = 2754.2555285231

Total = 2,754.26 (rounded)

Step-by-step explanation:

Ver imagen wolf1728

The amount in the account at the end of 8 years will be $2,737.12.

To understand the calculations, check below.

Compound interest:

The compound interest amount is given as,

                  [tex]Amount=P*(1+\frac{r}{100} )^{n}[/tex]

Where P is principal , r is rate and n is times.

It is given that,

      [tex]P=\$2,000, r=4\%, t=8 years[/tex]

               [tex]Amount=2,000*(1+\frac{4}{100} )^{8}\\\\Amount=2000*(\frac{104}{100} )^{8} \\\\Amount=\$ 2,737.12[/tex]

Learn more about the compound interest here:

https://brainly.com/question/24924853