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defon
3 years ago
12

What is 9 to the 9th power

Mathematics
1 answer:
Hunter-Best [27]3 years ago
8 0
9^9=387420489

Hope this helps!
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John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monu
Leokris [45]

Answer:

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

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

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:

0.03a + 0.04b + 0.07c = 670 ………………. (3)

Substituting equation (2) into equation (1), we have:

a + b + b + 4,000 = 12,000

a + 2b = 12,000 – 4,000

a + 2b = 8,000

a = 8,000 – 2b ……………………….. (4)

Also, substituting equation (2) into equation (3), we have:

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

240 – 0.06b + 0.11b = 390

240 + 0.05b = 390

0.05b = 390 – 240

0.05b = 150

b = 150 / 0.05

b = 3,000

Substituting b = 3,000 into equation (2), we have:

c = 3,000 + 4,000

c = 7,000

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

a = 8,000 – (2 * 3,000)

a = 8,000 – 6,000

a = 2,000

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

8 0
3 years ago
What is greater 1/5 , 1/4 , or 1/3
olya-2409 [2.1K]
1/3 is greater than 1/5 and 1/4.
5 0
3 years ago
Read 2 more answers
Solving a right triangle ‼️ Can someone help me find A,a and c❓ (Round to the nearest tenth)
denis23 [38]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180 for A

A = 180° - (90 + 48)° = 180° - 138° = 42°

----------------------------------------------------------

tan48° = \frac{opposite}{adjacent} = \frac{18}{a}

Multiply both sides by a

a × tan48° = 18 ( divide both sides by tan48° )

a = \frac{18}{tan48} ≈ 16.2 ( to the nearest tenth )

-----------------------------------------------------------

sin48° = \frac{opposite}{hypotenuse} = \frac{18}{c}

Multiply both sides by c

c × sin48° = 18 ( divide both sides by sin48° )

c = \frac{18}{sin48} ≈ 24.2 ( to the nearest tenth )

4 0
3 years ago
Fill this graph out , I don't understand how to convert a decimal into a percentage or fraction
kow [346]
In the first column the decimal is .26 and the percent is 26%. In the second column the fraction is 31/50 and the percent is 62%. In the last column the fraction is 9/20 and the decimal is .45. Hope this helps! ;)
6 0
3 years ago
Read 2 more answers
A cube has side length a. The side lengths are decreased to 40% of their original size. Write an expression in simplest form for
o-na [289]
V=a ^{3} originally. Then you reduces the side lengths a so it will beV=( \frac{2}{5} a)^{3} = \frac{8}{125}a^{3}
Just note that 40% is the same as 2/5.<span />
6 0
2 years ago
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