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Oduvanchick [21]
3 years ago
7

If avogadro's number of pennies is divided equally among the 250. million men, women, and children in the united states, how man

y dollars would each receive?
Mathematics
1 answer:
Anastasy [175]3 years ago
6 0

We divide the pennies 100 to convert pennies to dollar

1 pennies= 1/100 dollar

Then we will convert 6.02×10∧23 p to dollar

=1 dollar/100 pennie ×6.02×10∧23

= 6.02×10∧21

The total men and women and children in 250 m  

=25×108

6.02×10∧21/2.5×10∧8

= 2.408×10∧13


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John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

Step-by-step explanation:

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John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?

The explanation of the answer is now given as follows:

Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:

a + b + c = 12,000 ……………………….. (1)

Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:

c = b + 4,000 ……………………………. (2)

The total amount of interest earned from each fund can be represented as follows:

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0.03a + 0.04b + 0.07(b + 4,000) = 670

0.03a + 0.04b + 0.07b + 280 = 670

0.03a + 0.04b + 0.07b 0 = 670 – 280

0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)

Substituting equation (4) into equation (5) and solve for b, we have:

0.03(8,000 – 2b) + 0.11b = 390

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240 + 0.05b = 390

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Also, substituting b = 3,000 into equation (4), we have:

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Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.

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