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Inessa05 [86]
3 years ago
13

Solve 6^(4x+1)=5^(x-3) for x

Mathematics
2 answers:
AleksandrR [38]3 years ago
8 0

6^{4x+1}=5^{x-3}\\\\\log6^{4x+1}=\log5^{x-3}\\\\(4x+1)\log 6=(x-3)\log 5\\\\(4x+1)\log 6-(x-3)\log 5=0\\\\4x\log 6+\log 6-x\log 5+3\log 5=0\\\\4x\log 6-x\log 5 = -3\log 5-\log 6\\\\x(4\log 6-\log 5) = -3\log 5-\log 6\\\\x=\dfrac{-3\log 5-\log 6}{4\log 6-\log 5}\\\\x=\dfrac{3\log 5+\log 6}{\log 5-4\log 6}

myrzilka [38]3 years ago
7 0

Answer: The answer is C

Step-by-step explanation:

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Answer:

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Picture:

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2 years ago
Marvin used the money he received from
Kay [80]

Answer:

<em>Correct choice: C. $320</em>

Step-by-step explanation:

<u>Simple Interest</u>

Definition: Interest calculated on the original principal only of a loan or on the balance of an account.

Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.

The interest earned is calculated as follows:

I=P.r.t

Where:

I = Interest

P = initial principal balance

r = interest rate

t = time

Marving is saving money in a savings account with a simple interest rate of r=7.5%=0.075. It's known that after t=12 years, the account had earned $288 interest. Substituting in the formula:

288 = P*0.075*12

Calculating:

288 = 0.9P

Dividing by 0.9:

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7 0
3 years ago
Please help me it due today at 11:00pm please will mark the brainiest please
gregori [183]

Answer:

d = 2.75 or 11/4

Step-by-step explanation:

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<u>+7        + 7</u>

22 = 8d

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Check:

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8 0
2 years ago
How many sides are on a triangle?
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6 0
3 years ago
Read 2 more answers
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Aleks04 [339]

Answer:  $30

Step-by-step explanation:

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(I'm assuming what you mean by "how much money he will have" is profit)

3 0
2 years ago
Read 2 more answers
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