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 both types of investments was $8700, how much of the $50,000 did she invest in bonds?

$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.

percentage - 25%

probability - 0.25

we know,

total amount of students in class = 20

total boys = 10

total girls = 10

no of girls who wear glasses = 10/2 = 5

probability of choosing a girl with glasses is =

number of girls wearing glasses/total number of students in the class = 5/20

thus, percentage of selecting a girl wearing glasses will be

= 5/20 × 100

= 5 × 5

25%

therefore,

probability will be 0.25

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