If $800 is deposited in an account paying 7% annual interest, compounded continuously, how long will it take for the account to increase to $1300? round your answer to the nearest hundredth of a year

$800 will become $ 1300 in 6.94 years when compounded continuously at the annual interest rate of 7%.

Solution:

Given that  

Amount deposited = $800,

Rate if interest = 7% = 0.07  

Required amount = $1300  

And most important thing that interest is compounded continuously.

Formula of Amount where interest is compounded continuously is as follows

Where A is final amount,  

P is principal Amount,

r = rate of interest  

t = duration in years

In our case A = $1300, P = $800, r = 0.07. We need to evaluate “t” that is number of year.

On substituting given values in formula of amount we get

Taking ln both the sides

= 1 .So we get,

ln(1.625) = 0.07t

= 6.9358 ≈ 6.94 years

Hence $800 will become $ 1300 in 6.94 years when compounded continuously at the annual interest rate of 7%.

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m