What is the simplified form of the quantity y−squared minus y minus 12 over the quantity y−squared minus 2y minus 15?

1 answer:

6 0

(y^2-y-12)/(y^2-2y-15) factor both the numerator and denominator...

(y^2-4y+3y-12)/(y^2-5y+3y-15)

(y(y-4)+3(y-4))/(y(y-5)+3(y-5))

((y-4)(y+3))/((y-5)(y+3)) so the (y+3) terms cancel leaving

(y-4)/(y-5)

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Please help me on number 6!!Please answer it!!

mr Goodwill [35]

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Raylan opened a savings account with $100. After 5 years there is $122. 50 in the account. What is his simple interest rate?

serious [3.7K]

<h3>Answer:</h3>

4.5% annually

<h3>Step-by-step explanation:</h3>

Simple interest is the amount of interest added to a singular sum of money at a fixed rate.

Formula

The formula for simple interest is A = P(1+rt). In this formula, A is the total amount of money in the account, P is the original amount deposited, r is the rate of interest as a decimal, and t is the time in years.

Calculations

To find the rate, plug the information we know into the formula above

122.50 = 100(1+r*5)

Divide both sides by 100

1.225 = 1 + r*5

Subtract 1 from both sides

0.225 = r*5

Divide both sides by 5

0.045 = r

This gives us the rate as a decimal. So, to find the rate as a percent. Do this by moving the decimal 2 places to the right (or just multiply by 100, they do the same thing). This means that the rate of simple interest is 4.5%.

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1 year ago

A snail moves 18 millimeters every 24 seconds. What is the snail's rate of speed ?

andrey2020 [161]

Answer:

0.75m/s

Step-by-step explanation:

<em>Speed formula: ⇒ $S=\frac{V}{T}$ </em>