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postnew [5]
3 years ago
10

What is the solution set of the following equation?

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0

Answer:

Option A) \phi is the solution set for given equation.            

Step-by-step explanation:

We are given the following equation in the question:

-8x + x + 15 = -7x + 12

Solving the given equation, we have:

-8x + x + 15 = -7x + 12\\-7x + 15 = -7x + 12\\-7x + 7x + 15 = -7x + 7x + 12\\15 = 12\\\text{which is never possible}

Hence the given equation has no solution.

Thus, the solution set can be represented by a null set which can be represented as \phi

Option A) \phi is the solution set for given equation.

alex41 [277]3 years ago
3 0
The solution to this problem is A.
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How long does it take for an investment to quadruple in value if it is invested at 11% compounded
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Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

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2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

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Then we will apply natural log to both sides of the equations and get the following:

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t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

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