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jek_recluse [69]
3 years ago
7

What is the value of (2/3)^-4?

Mathematics
1 answer:
kvv77 [185]3 years ago
7 0

Answer:

16/81

Step-by-step explanation:

(2/3)^{-4}

=> 2^{-4} /3^{-4}

=> -16/-81

=> 16/81

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

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Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns
Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

x+y=32000        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

0.04x+0.07y=2000           ...(ii)

From (i) and (ii), we get

0.04x+0.07(32000-x)=2000

0.04x+2240-0.07x=2000

-0.03x=2000-2240

-0.03x=-240

Divide both sides by -0.03.

x=\dfrac{-240}{-0.03}

x=8000

Put x=8000 in (i).

8000+y=32000  

y=32000-8000  

y=24000  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0
3 years ago
On Saturday a library checked out 52 books.if 24 of the books were fiction what is the ratio of nonfiction books to fiction book
alukav5142 [94]
52-24=28 books were nonfiction
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28/24= 7/6
5 0
3 years ago
Measure E is equal to?
Gennadij [26K]

Answer:

114

Step-by-step explanation:

Since DE and EF are equal, DEF is an isosceles triangles.

In isosceles triangle, two angles are equal.

So,

∠F = ∠D = 33

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∠D + ∠F + ∠E = 180

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∠E = 180 - 33 - 33

∠E = 114

7 0
3 years ago
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Please help me!! Use the identities
jarptica [38.1K]

Answer:

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Step-by-step explanation:

We use the identity:

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so the first expression simplifies to

tan ( π/3 -  π/8)

= tan 5π/24.

7 0
3 years ago
You toss 3 coins. What is the probability that you get exactly 3 heads, given that you get at least one tail? A tree diagram wil
Leviafan [203]
Out of 3 coins, if you are given that 1 is on tails, then the most heads you could have is 3 coins - 1 tails = 2 heads.

The probability of getting 3 heads would be 0.
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3 years ago
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