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Margaret [11]
2 years ago
8

Molly invested $50,000 in various stocks and bonds. She earned 15% on the bonds and 18% on the stocks. Molly's total profit on b

oth types of investments was $8700, how much of the $50,000 did she invest in bonds?
Mathematics
1 answer:
Andreas93 [3]2 years ago
8 0

Answer:

$10000

Step-by-step explanation:

Given that:

Molly invested $50,000 in various stocks and bonds.

She earned 15% on bonds and 18% on stocks

Let the bonds be denoted by a

However, her profit on both types of investment is said to be $8700

We are to find how much of the $50,000 did she invest in bonds.

i.e

0.15a + 0.18(50000-a)  = 8700

open brackets

0.15a + 9000 - 0.18a = 8700

Collect like terms

0.15a - 0.18a = 8700 - 9000

-0.03a  = -300

Divide both sides by(-0.03); we get

a = 10000

Thus, Molly invested $10000 in the bonds.

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Answer:

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Step-by-step explanation:

This can be formulated as the following problem:

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It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have:

What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.

The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so P(B) = 0.37

P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So P(A/B) = 0.19

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The probability is

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.37*0.19}{0.19} = 0.37

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