Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-free investment with a 7% yearly interest rate, compounded continuously. If yy is the value of the investment, and tt is in years:
dydt=dydt=
Your answer should be in terms of yy.
You start investing at t=0t=0 so y(0)=0y(0)=0.
y(t)=y(t)=
What is the size of your investment after 30 years.

Following are the solution to the given points:

Step-by-step explanation:

p= amount at any time

then

at time

y= amount at any times

For point a:

For point b:

For point c:

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.