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3 years ago

Solve this equation, and show work. worth 40 points.

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

$r=-3/5=-0.6$

Step-by-step explanation:

We have the equation:

$6^{-3r}=6^{2r+3}$

Since their bases are the same, the exponents must be equivalent. So:

$-3r=2r+3$

Solve for r, subtract 2r from both sides:

$-5r=3$

Divide both sides by -5:

$r=-3/5=-0.6$

So, the value of r is -3/5.

And we're done!

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3 years ago

A business has a savings account that earns a 3% annual interest rate. At the end of 1996, the business had $4,000 in the accoun

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Answer:

The amount the business initially invested in 1991 is approximately;

A. $3,450

Step-by-step explanation:

The question relates to investment and finance

The parameters given are;

The annual interest rate on the business savings account = 3%

The amount the business had in the account at the end of 1996 = $4,000

The given formula used to determine the final amount in the savings account, $F = p \cdot \left(1 + \dfrac{r}{100} \right )^t$

Where;

F = The final amount

p = The initial (principal) investment

r = The annual interest rate

t = The time in years

Therefore, we have;

The required information = The initial amount, 'p', the business invested in 1991

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Plugging in the values in the given equation gives;

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3 years ago

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<h2 /><h2> ➪ SOLVE FOR X</h2>

Answer:

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<u>Combine all terms containing x.</u>

$\large\color{green}{ \tt{(−2+3y)x=4}}$

<u>The equation is in standard form.</u>

$\large\color{green}{ \tt{(3y−2)x=4}}$

<u>Divide both sides by −2+3y.</u>

$\large\color{green}{ \tt{( 3y - 2 )x / 3y - 2 = 4/ 3y -2}}$

<u>Dividing by −2+3y undoes the multiplication by −2+3y.</u>

$\large\color{green}{ \tt {x 4/3y-2}}$

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Step-by-step explanation:

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