SOLUTION: Please help me with these problems. Thanks and show all work 1. A bank features a savings account that has an annual percentage rate of r=4.7 % with interest compounded quarter

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me with these problems. Thanks and show all work 1. A bank features a savings account that has an annual percentage rate of r=4.7 % with interest compounded quarter      Log On


   



Question 1024729: Please help me with these problems. Thanks and show all work
1. A bank features a savings account that has an annual percentage rate of r=4.7
% with interest compounded quarterly. Zach deposits $3,500 into the account.
The account balance can be modeled by the exponential formula S(t)=P(1+rn)nt
, where S is the future value, P is the present value,r is the annual percentage rate, n is the number of times each year that the interest is compounded, and t is the time in years.
(A) What values should be used for P, r, and n?P=, r=, n=

(B) How much money will Zach have in the account in 8 years?
Answer = $ . Round answer to the nearest penny

2.If 15700 dollars is invested at an interest rate of 8 percent per year, find the value of the investment at the end of 5 years for the following compounding methods.
(a) Annual:
Your answer is
(b) Semiannual:
Your answer is
(c) Monthly:
Your answer is
(d) Daily:
Your answer is

3. An unknown radioactive element decays into non-radioactive substances. In 420 days the radioactivity of a sample decreases by 26 percent.
(a) What is the half-life of the element?
half-life: (days)
(b) How long will it take for a sample of 100 mg to decay to 75 mg?
time needed

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


2.



Where is the final value of the investment of dollars at percent interest compounded times per year for years. Plug in the numbers and do the arithmetic.

John

My calculator said it, I believe it, that settles it