Problem

Question 26 6 pts 5 Details Be sure to clearly show your work for each part of this question. A broker encourages you to invest in a bond with an issue price of $\$ 5,500$ that pays $3.1 \%$ simple interest annually and matures in 6 years. If you make this investment, find: a. The amount paid each year in interest payments. $\$$ b. The total amount earned with the bond. $\$$ c. Assume interest payments are sent out each year. Find the amount you would receive on the maturity date. $\$$

Solution

Step 1 :Calculate the annual interest payment using the formula \(I = P \times r \times t\), where \(I\) is the interest, \(P\) is the principal amount, \(r\) is the interest rate, and \(t\) is the time in years.

Step 2 :The principal amount \(P\) is \(\$5500\), the interest rate \(r\) is \(3.1\%\) or \(0.031\), and the time \(t\) is \(6\) years.

Step 3 :The annual interest payment is \(I = 5500 \times 0.031 \times 1 = \boxed{170.5}\).

Step 4 :The total amount earned with the bond is the annual interest payment multiplied by the number of years, which is \(170.5 \times 6 = \boxed{1023.0}\).

Step 5 :The amount received on the maturity date is the principal amount plus the total interest earned, which is \(5500 + 1023.0 = \boxed{6523.0}\).

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Source: https://solvelyapp.com/problems/c79UrbuFrr/

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