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hjlf
3 years ago
12

At what rate must $287.50 be compounded annually for it to grow to $572.86 in 8 years?

Mathematics
1 answer:
UNO [17]3 years ago
3 0
Using the compound interest formula,
572.86=287,50(1+i)^8
(1+i)^8=572.86/287.50=1.992557
1+i=(1.992557)^(1/8)=1.0899996
=> 
i=1.0899996-1=9%

Note: This problem can also be solved in the head using the rule of 72.
Since after 8 years, the amount is roughly doubled, we can say that the interest rate is approximately 72/8=9%
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Y^2 - 12y + 27 / y^2 - 6y - 27 <br> simply the rational equation.
Ulleksa [173]

The simplified rational expression is (y - 3)/(y + 3). Where y ≠ -3.

<h3>How to simplify a rational expression?</h3>

A rational expression is in the p/q form. Where p and q are polynomial functions.

To simplify this rational equation,

  • Factorize the polynomials in both numerator and denomiantor.
  • Cancel out common factors if any.
  • If the denominator and the numerator have no common factors except 1, then that is said to be the simplest form of the given rational expression.

<h3>Calculation:</h3>

The given rational equation is

\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}

Factorizing the expression in the numerator:

y² - 12y + 27 = y² - 9y - 3y + 27

⇒ y(y - 9) - 3(y - 9)

⇒ (y - 3)(y - 9)

Factorizing the expression in the denominator:

y² - 6y - 27 = y² - 9y + 3y - 27

⇒ y(y - 9) + 3(y - 9)

⇒ (y + 3)(y - 9)

Since they have (y - 9) as the common factor, we can simplify,

\frac{y^2 - 12y + 27 }{y^2 - 6y - 27}=\frac{(y-3)(y-9)}{(y+3)(y-9)}

⇒ (y - 3)/(y + 3) where y ≠ -3(denomiantor)

Here there are no more common factors except 1; this is the simplest form of the given rational expression.

Learn more about simplifying rational expressions here:

brainly.com/question/1928496

#SPJ9

3 0
1 year ago
Please please please help me!! I'll give 5 stars and thanks!
ipn [44]
F(1) = -2

hope it helps

---------------------------------
4 0
3 years ago
What is the solution to the equation? 12 = |X| - 3 X= -36 or 36 X= -9 or 9 X = -4 or 4 X = -15 or 15​
quester [9]

Answer:

x = -15 or 15

Step-by-step explanation:

We can simplify |x| - 3 = 15 to |x| = 15 because we can add 3 on both sides due to -3 being outside of the absolute value bars. Next, we can say that x is either 15 or -15 because of the absolute value (|15| is equal to 15 and |-15| is also equal to 15).

7 0
2 years ago
Read 2 more answers
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