Helen has 1/5 of her prorfolio in U.S. stocks, 1/8 of her porfolio in European stocks, and 1/10 of her porfolio in Japanese stocks. The remainder is invested in muicipal bonds. What fraction of her porfolio is invested in municipal bonds? What percent is invested in munipal bonds?
1/5 + 1/8 + 1/10 =
8/40 + 5/40 + 4/40 = 17/40
40/40 - 17/40 = 14/40
what would be the cost of something that is on sale for 40% off if the regular price is $180
To find the fraction of Helen's portfolio invested in municipal bonds, we need to subtract the fractions invested in U.S. stocks, European stocks, and Japanese stocks from 1.
Let's first calculate the sum of the fractions invested in the three different types of stocks:
1/5 (U.S. stocks) + 1/8 (European stocks) + 1/10 (Japanese stocks)
To find a common denominator, let's use 40:
8/40 + 5/40 + 4/40 = 17/40
This means that 17/40 of Helen's portfolio is invested in stocks. Now, to find the fraction invested in municipal bonds, we need to subtract this from 1:
1 - 17/40 = 23/40
So, Helen has 23/40 of her portfolio invested in municipal bonds.
To convert this fraction into a percentage, we need to multiply it by 100:
23/40 * 100 = 57.5%
Therefore, 57.5% of Helen's portfolio is invested in municipal bonds.
To find the fraction of Helen's portfolio invested in municipal bonds, we need to determine the fractions invested in U.S. stocks, European stocks, and Japanese stocks, and subtract that from 1.
Given:
Fraction invested in U.S. stocks = 1/5
Fraction invested in European stocks = 1/8
Fraction invested in Japanese stocks = 1/10
First, we need to find a common denominator for the fractions. The least common multiple (LCM) of 5, 8, and 10 is 40.
Now, let's convert the fractions to have a common denominator of 40.
Fraction invested in U.S. stocks = (1/5) * (8/8) = 8/40
Fraction invested in European stocks = (1/8) * (5/5) = 5/40
Fraction invested in Japanese stocks = (1/10) * (4/4) = 4/40
Now, we can calculate the fraction invested in municipal bonds by subtracting the fractions of U.S. stocks, European stocks, and Japanese stocks from 1.
Fraction invested in municipal bonds = 1 - (8/40 + 5/40 + 4/40)
= 1 - (17/40)
= 23/40
Therefore, Helen has 23/40 of her portfolio invested in municipal bonds.
To calculate the percentage invested in municipal bonds, we need to convert the fraction to a percentage by multiplying it by 100.
Percentage invested in municipal bonds = (23/40) * 100
= 57.5%
Therefore, Helen has 57.5% of her portfolio invested in municipal bonds.