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zysi [14]
3 years ago
8

Write an exponential model (equation) that represents the following situations.

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

9,772,219 (Approx)

Step-by-step explanation:

Given:

Current population = 8,851,000

Growth rate = 2% = 0.02

a. Time = t

b. Time = 5 years

Find:

a. Write the equation.

b. Population after 5 year = ?

Computation:

a. Equation for the following question:

After population = Current\ population(1+r)^n

After\ population =8,851,000(1+0.02)^t\\\\After\ population =8,851,000(1.02)^t

b. Population after 5 year

=8,851,000(1.02)^5\\\\=9,772,219.16

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\: first the formula of quadratic equation  \:  =  - b ≠ \:  \sqrt{ \frac{ \:  {b  }^{2}  - 4ac}{ \: 2a} }

let's begin to solve this equation,,,

ax²  + bx + c = 0  \\ ax² + bx + c =0  \\  {x}^{2}  +  \frac{b}{a}  \:  + \frac{ {b}^{2} }{2a}  =  \frac{b2}{a}  -  \frac{c}{a}  \\ x +  \frac{ {b}^{2} }{2a}  =  -  \frac{ {b}^{2} }{2a}  -  \frac{c}{a}

<h3>MORE BASIC INFORMATION </h3>

an equation having the maximum power of the variable equal to is called the quadratic equation the general form of quadratic equation is ax² + bx +c =0 where a,b,c are real numbers a ≠0 x is variable •

a quadratic equation can be solved by two method by factorization and by formula

by factorization a quadratic equation can be solved by factorization only when the product AC can be divided into two such part that it had the sum of the difference of the two part is equal to b

by the formula of quadratic equation can be solved by \ - }

x =  \frac{ - b \sqrt{ {b}^{2} - 4ac } }{2a }  \\ root \: of \: equation \:  {ax}^{2}  + bx + c = 0 \\  - b -  \sqrt{ \frac{ {b}^{2}  - 4ac}{2a} }

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