Betsy, a recent retiree, requires $6000 per year in extra income. she has $50,000 to invest and can invest in b-rated bonds paying 13% per year or in a certificate of deposit (cd) paying 5% per year. how much money should be invested in each to realize exactly $6,000 in interest per year?

Total funds available with Betsy = $50,000

Interest rate in B-rated bonds = 13% per year

Let amount invested in B-rated bonds be x

Interest rate in certificate of deposit (CD) = 5% per year

Amount invested in CD = 50,000-x

Now, we have to determine x such that Betsy can get exactly $6,000 in interest per year. Hence:

x * 13% + (50,000 - x) * 5% = 6,000

⇒ 0.13x - 0.05x + 2,500 = 6,000

⇒ 0.08x = 3,500

⇒ x = 43,750

Hence, Betsy should invest $43,750 in B-rates bonds

And 50,000 - x = 50,000 - 43,750 = 6,250

And she should invest 6,250 in CD

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step-by-step explanation:

hopefully im right

a. 74 degrees

step-by-step explanation:

because the lines through the side and the box in the corners shows that these are congruent triangles and since they are mirrored the 37 degrees is also mirrored so the answer is 37 * 2 which is 74.