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Step2247 [10]
3 years ago
5

The length of a rectangle is 14 inches and it’s area is (42x+56) square inches. Factor the expression for the area. Write an exp

ression for the width
Mathematics
1 answer:
sergey [27]3 years ago
5 0

Answer:

Step-by-step explanation:

Area = 42x + 56

length * width = 14* 3x + 14*4

14 * width = 14*(3x+4)

width=\frac{14*(3x+4)}{14}\\\\width=3x+4

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<h2>Hello!</h2>

The answer is:

In 2036 there will be a population of 32309 rabbits.

<h2>Why?</h2>

We can calculate the exponential decay using the following function:

P(t)=StartAmount*(1-\frac{percent}{100})^{t}

Where,

Start Amount, is the starting value or amount.

Percent, is the decay rate.

t, is the time elapsed.

We are given:

StartAmount=144,000\\x=7.2(percent)\\t=2036-2016=20years

Now, substituting it into the equation, we have:

P(t)=StartAmount(1-\frac{percent}{100})^{t}

P(t)=144000*(1-\frac{7.2}{100})^{20}

P(t)=144000*(1-0.072)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*(0.928)^{20}

P(t)=144000*0.861=32308.888=32309

Hence, we have that in 2036 the population of rabbis will be 32309 rabbits.

Have a nice day!

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