Suppose you receive 5000 dollars through an inheritance. You decide to invest this money into a fund that pays 8 percent annually, compounded monthly. That means that each month your investment earns 098 P additional dollars, where P is your principal balance at the start of the month. So in the first month your investment earns 5000 0.08 12 or 33.33 dollars. If you reinvest this money, you will then have 5033.33 dollars in your account at the end of the first month. From this point on, assume that you reinvest all of the interest you earn. (a) How much interest will you earn in the second month? Interest earned = dollars How much money will you have in your account at the end of the second month? Balance at end of second month = dollars Balance at end of month 3 = (b) Repeat the calculations in part (a) to compute the interest earned and the end-of-month balances for months 3, 4, and 5. Interest earned in month 3 = dollars. dollars.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Suppose you receive 5000 dollars through an inheritance. You decide to invest this money into a fund that pays 8 percent annually, compounded monthly.
That means that each month your investment earns 0.08 P additional dollars, where P is your principal balance at the start of the month. So in the first month
your investment earns.
or 33.33 dollars. If you reinvest this money, you will then have 5033.33 dollars in your account at the end of the first month. From this point on, assume that
you reinvest all of the interest you earn.
(a) How much interest will you earn in the second month?
Interest earned =
dollars
5000
How much money will you have in your account at the end of the second month?
Balance at end of second month =
dollars
Balance at end of month 3 =
0.08
12
(b) Repeat the calculations in part (a) to compute the interest earned and the end-of-month balances for months 3, 4, and 5.
Interest earned in month 3 =
dollars.
dollars.
Interest earned in month 4 =
dollars.
Transcribed Image Text:Suppose you receive 5000 dollars through an inheritance. You decide to invest this money into a fund that pays 8 percent annually, compounded monthly. That means that each month your investment earns 0.08 P additional dollars, where P is your principal balance at the start of the month. So in the first month your investment earns. or 33.33 dollars. If you reinvest this money, you will then have 5033.33 dollars in your account at the end of the first month. From this point on, assume that you reinvest all of the interest you earn. (a) How much interest will you earn in the second month? Interest earned = dollars 5000 How much money will you have in your account at the end of the second month? Balance at end of second month = dollars Balance at end of month 3 = 0.08 12 (b) Repeat the calculations in part (a) to compute the interest earned and the end-of-month balances for months 3, 4, and 5. Interest earned in month 3 = dollars. dollars. Interest earned in month 4 = dollars.
or 33.33 dollars. If you reinvest this money, you will then have 5033.33 dollars in your account at the end of the first month. From this point on, assume that
you reinvest all of the interest you earn.
(a) How much interest will you earn in the second month?
Interest earned =
dollars
How much money will you have in your account at the end of the second month?
Balance at end of second month =
dollars
(b) Repeat the calculations in part (a) to compute the interest earned and the end-of-month balances for months 3, 4, and 5.
Interest earned in month 3 =
dollars.
dollars.
Balance at end of month 3 =
Interest earned in month 4 =
Balance at end of month 4 =
Interest earned in month 5 =
Balance at end of month 5 =
dollars.
dollars.
dollars.
dollars.
(c) As we will see later, the amount of money P, in the account after month n is given by
(1 + 0.08)".
12
P₁ = 50001 +
Use this formula to check your calculations in part (b). Then find the amount of money in the account after 5 years.
Balance at end of 5 years =
dollars.
Transcribed Image Text:or 33.33 dollars. If you reinvest this money, you will then have 5033.33 dollars in your account at the end of the first month. From this point on, assume that you reinvest all of the interest you earn. (a) How much interest will you earn in the second month? Interest earned = dollars How much money will you have in your account at the end of the second month? Balance at end of second month = dollars (b) Repeat the calculations in part (a) to compute the interest earned and the end-of-month balances for months 3, 4, and 5. Interest earned in month 3 = dollars. dollars. Balance at end of month 3 = Interest earned in month 4 = Balance at end of month 4 = Interest earned in month 5 = Balance at end of month 5 = dollars. dollars. dollars. dollars. (c) As we will see later, the amount of money P, in the account after month n is given by (1 + 0.08)". 12 P₁ = 50001 + Use this formula to check your calculations in part (b). Then find the amount of money in the account after 5 years. Balance at end of 5 years = dollars.
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