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masya89 [10]
3 years ago
5

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?
Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

Sum of money invested in corporate bonds = 30,000

Step-by-step 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

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Answer:

3a) The value of  x = 56

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Step-by-step explanation:

3a) ∵ A F is a tangent to the circle O at point F

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3b) ∵ HM is a diameter

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3c) ∵ Δ H T M is a right angle triangle at T

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