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3 years ago

Which of the following equation have exactly one solution?

Mathematics

1 answer:

Archy [21]3 years ago

8 0

Answer:

A, B, C all have one solution.

Step-by-step explanation:

1) Each equation in this question has one variable (x). This means that only one solution will be there.

2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78

Which is not true

3) Option A, if solved x = -65/68

4) Option B, x = 13/2

5) Option C, x = 5

All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.

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2 years ago

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A crew consists of 1 apprentice, 1 journeyman, and 1 master carpenter. The crew receives a check for $6400 for a job they just f

aleksklad [387]

Answer:

Apprentice = $800

Journeyman = $1600

carpenter = $4000

Step-by-step explanation:

Let the apprentice earns X dollars.

Then ,

Journeyman will make 200% of apprentice's earning which is 2X.

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Carpenter makes 250% of the earning that journeyman makes.

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3 years ago

7500 dollars is placed in an account with an annual interest rate of 7.75%. To the nearest year, how long will it take for the a

MakcuM [25]

Answer:

It will take 55 years for the account value to reach 38200 dollars

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

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$T = 38200, P = 7500, I = 0.075$

First we find how much we have to earn in interest.

$38200 = E + 7500$ .

$E = 38200 - 7500$

$E = 30700$

How much time to earn this interest?

$E = P*I*t$

$30700 = 7500*0.075*t$

$t = \frac{30700}{7500*0.075}$

$t = 54.6$

Rounding up

It will take 55 years for the account value to reach 38200 dollars

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