Find the error 3(x+2) + 3x = 36 3x + 6 + 3x = 36 6x + 6 = 36 6x = 42 x = 7

1 answer:

3 0

Answer: 6x=42

Explanation: After the step 6x+6=36, it’ll equal 6x=30 because when you subtract the 6 on both sides, it’ll equal 30, revealing it’s actually 6x=30, with the conclusion of x=5.

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Type the correct answer in the box. Round your answer to the hundredth.

sesenic [268]

Answer:

Approximately 22.97 years

Step-by-step explanation:

Use the equation for continuously compounded interest, which uses the exponential base "e":

$A=P e^{k*t}$

Where P is the principal (initial amount of the deposit - unknown in our case)

A is the accrued value (value accumulated after interest is compounded), in our case it is not a given value but we know that it triples the original deposit (principal) so we write it as: 3 P (three times the principal)

k is the interest rate : 5% which translates into 0.05

and t is the time in the savings account to triple its value (what we need to find)

The formula becomes:

$3P = P e^{0.05 * t}$

To solve for "t" we divide both sides of the equation by P (notice it cancels P everywhere), and then to solve for the exponent "t" we use the natural logarithm function:

$\frac{3P}{P} = \frac{P}{P} e^{0.05 * t}$