Shrinivas deposited $1300 in an account which pays 8% annual interest, compounded continuously. How long will it take to reach $3500? Select one:
O a. 12.4 years
O b. 9.2 years
O c. 176 years
O d. 1.2 years

a. 12.4 years

Step-by-step explanation:

Function to represent exponential growth continuously:

 ...(i)

, where = initial amount, r= rate of interest ( in decimal) , A = Amount after t years.

As per given , we have

To find : t

Put all values in (i) ,

Taking natural log on both sides

Hence, it would take 12.4 years.

so, the correct option is a. 12.4 years .

0.16 or 16%

step-by-step explanation:

lets take a coin for example.

if you toss it twice, it has a 1/4 chance of landing on heads both times because 1/2 * 1/2 is 1/4.

with the cards, the chance of picking dog is 0.4. having two people pick one is like picking a card twice in a row. so 0.4 * 0.4 is 0.16, or 16%

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.