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Zina [86]
3 years ago
5

Arrange the steps in the correct order to solve the equation 3 (2^2t-5 )- 4=10

Mathematics
2 answers:
liberstina [14]3 years ago
8 0
The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10

The steps are:

1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4

2) Combine like terms => 3 [2^ (2t - 5) ] = 14

3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3

4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)

5) Divide both sides by log (2) =>

                log (14/3)
2t - 5 = -------------------
                 log (2)

6) transpose - 5+>

                log (14/3)
2t  = ------------------- + 5 = 2.22 + 5
                 log (2)

2t = 7.22

7) divide both sides by 2 => t = 7.22 / 2 = 3.61
viva [34]3 years ago
6 0

Answer:

1. Add 4 to each side of the equation:

2. Divide both sides of the equation by 3:

3.Take the log of each side:

4.Use the Exponential Property and write in decimal form:

5.Divide each side by log 2:

6.Find the value of  and substitute:

7. Add 5 to each side of the equation:

8. Simplify:


Step-by-step explanation:


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Step-by-step explanation:

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Mariah will deposit $1,530 in an account that earns 6% simple interest every year. Her
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Answer:

After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.

Step-by-step explanation:

Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:

Mariah:

1,530 + ((1,530 x 0.06) x 3) = X

1,530 + (91.8 x 3) = X

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Isabel:

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1,500 x 1.08 ^ 3 = X

1,500 x 1,259712 = X

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Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.

3 0
3 years ago
Just need my answers checked.
Mariulka [41]
I choose A 4x(x2 - 3x + 1)
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Answer:

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