Please does anyone know how to solve this in need help asap

Consider the compound interest formula A = P 􀀀1 + r
n
nt
, the same function that we used in class. We will
focus on the case when we put one dollar into an account for one year at 100% interest.
• 1.) Compute n and the amount of money in the account after one year if the interest is compounded:
– Yearly
– Monthly
– Daily
– Hourly
– Every second
• 2.) What do you notice about the ending balance as the account is compounded more and more frequently?
• 3.) What do you think would be the ending balance after one year if the interest was compounded infinitely
many times (continuously) over the course of the year?
4 Euler’s Number and Continuously Compounded Interest
Euler’s number is 2.718281828. . . , and we denote it by the letter e. The number e is similar to  because both
numbers are irrational (their decimal representations continue forever without repeating a pattern).
The number e can be used to create the Continuously Compounded Interest Formula: A = Pert , where
the variables mean the same as in the previously used compound interest formula (P is the initial amount in the
account, t is the number of years that the money has been in the bank, r is the interest rate written as a decimal,
and A is the amount of money in the account after t years). The difference is that the variable n is not used, since
the interest is compounded continuously, which means that the interest is computed at all times, not just once in
a while like the A = P 􀀀1 + r
n
nt
formula. Since the interest is not computed at discrete times, there is no need
to know what n is.
• 4.) If $3,500 is placed into an account at 2.1% APY, compute the amount in the account after one year if
the interest is computed:
– Quarterly
– Monthly
– Continuously
5 The Function ex and Bacterial Growth
We have just invented a new function, where we use the number e as a base, and place variables in the exponent.