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Brian has 40000 to invest in a mix of corporate and municipal bonds. The corporate bond pays 10% simple annual interest and the municipal bonds pays 6% simple annual interest. If he expects to receive 3600 in interest payments this year, how much has Brian invested in the corporate bond?

User Alan Moore
by
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1 Answer

3 votes

Answer:

Sum of money invested in corporate bonds = 30,000

Explanation:

Total sum = 40,000

The rate of interest for corporate bonds = 10 % = 0.1

The rate of interest for municipal bonds = 6 % = 0.06

Total interest = 3600

Let sum of money invested in corporate bonds = x

The sum of money invested in municipal bonds = 40000 - x


x × 0.1 × 1 + (
40000 - x) × 0.06 × 1 = 3600

(0.1- 0.06)
x + 2400 = 3600

0.04
x = 1200


x = 30,000

Since x = sum of money invested in corporate bonds

So sum of money invested in corporate bonds = 30000

User Suor
by
6.5k points
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