A tree that is 3 feet tall is growing at a rate of 32% each year. How tall will it be in 3 years?

Mathematics

1 answer:

pashok25 [27]2 years ago

4 0

Answer: 5.88 feet tall

Step-by-step explanation:

Using this formula

Interest =principal×rate×time/100

Principal is the actual growth=3ft

Rate is the 32%

Time is 3yrs

Interest =3×32×3/100

Interest =2.88

To get the value for 3yrs,add the interest to the principal value

Exact value in 3yrs=

3+2.88

=5.88 feet tall

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Find the perimeter of a field that has length 2/x + 1 and width 5/x^2 -1.

Semmy [17]

Answer:

D)4x + 6/(x + 1)(x - 1)

Step-by-step explanation:

A field is basically a rectangle, so to find the perimeter of our field we are using the formula for the perimeter of a rectangle

$p=2(l+w)$

where

$p$ is the perimeter

$l$ is the length

$w$ is the width

We know from our problem that the field has length 2/x + 1 and width 5/x^2 -1, so $l=\frac{2}{x+1}$ and $w=\frac{5}{x^2-1}$ .

Replacing values:

$p=2(l+w)$

$p=2(\frac{2}{x+1} +\frac{5}{x^2-1})$

Notice that the denominator of the second fraction is a difference of squares, so we can factor it using the formula $a^2-b^2=(a+b)(a-b)$ where $a$ is the first term and $b$ is the second term. We can infer that $a=x^2$ and $b=1^2$ . So, $x^2-1=(x+1)(x-1)$ . Replacing that: