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3 years ago

A town has a population of 14000 and grows at 2.5% every year. What will be the

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Answer:

y≈15840

Step-by-step explanation:

Exponential Functions:

a=starting value = 14000

r=rate = 2.5%=0.025

Exponential Growth:

b=1+r=1+0.025=1.025

Write Exponential Function:

put it all together-

y=14000(1.025)^x

Plug in time for x:

y=14000(1.025) ^5

Evaluate-

y=15839.71498

round-

y≈15840

Oduvanchick [21]3 years ago

4 0

Answer:

6.5

Step-by-step explanation:

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Step-by-step explanation:

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If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?

lys-0071 [83]

Answer:

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

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Add k on both sides:

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Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

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$\frac{2\pm 2\sqrt{-2}}{3}$

$\frac{2\pm 2i\sqrt{2}}{3}$

Let's see if uv=u+v holds.

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Keep in mind you are multiplying conjugates:

$uv=\frac{1}{9}(4-4i^2(2))$

$uv=\frac{1}{9}(4+4(2))$

$uv=\frac{12}{9}=\frac{4}{3}$

Let's see what u+v is now:

$u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}$

$u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}$

We have confirmed uv=u+v for k=2.

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