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kati45 [8]
3 years ago
12

How much money should be deposited today in an account that earns 3 % compounded semiannually so that it will accumulate to $ 80

00 in three​ years?
Mathematics
1 answer:
Kipish [7]3 years ago
8 0

Answer:

The amount of money which should be deposited is $ 7316.627

Step-by-step explanation:

Given as :

Let the principal  = p

The interest rate compounded semiannually = 3 %

Time period = 3 years

The amount after three years = A = $ 8000

Now, Amount = Principal × (1 +\frac{Rate}{2\times 100})^{2\times Time}

Or,      $ 8000 = Principal × (1 +\frac{3}{2\times 100})^{2\times 3}

Or,      $ 8000 = p × (\frac{203}{200})^{6}

Or,      p = \frac{8000}{1.0934}

∴         p = $ 7316.627  

Hence The amount of money which should be deposited is $ 7316.627 Answer

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8 squared plus 9 left parenthesis 12 divided by 3 times 2 right parenthesis minus 7. Explain each of your steps.
vekshin1

Answer:

129

Step-by-step explanation:

PEMDAS (parenthesis, exponents, multiplication / division, addition /subtraction.) I will use these as abbreviations.

8^2 + 9 (12/3*2) - 7

P: Start with P, and inside P go left to right with M/D

    D: 8^2 + 9 (4*2) - 7

    M: 8^2 + 9 (8) - 7

E: The next step is E, so I will do 8^2

64 + 9 (8) - 7

M/D: I will then multiply from left to right

64 + 72 - 7

A/S: Finall I will add and subtract from left to right.

   A: 136 - 7

   S: 129

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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snow_tiger [21]

Answer:

30x^7y^4u^8

Step-by-step explanation:

We have been given two expressions 15x^7y^3u^8 and

6y^4u^5

Now we need to find out least common multiple of these two expressions.

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Least common multiple means find the expression which can be divided by both expressions.

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