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3 years ago

PLS HELP ASAP!! WILL MARK BRAINLYIST

Mathematics

1 answer:

son4ous [18]3 years ago

7 0

Answer:

$39,851.25

Step-by-step explanation:

If the sales increase at a rate of 9% per year, this means it will be 109% of the previous year's value since 100% + 9% = 109%

109% in decimal form = 109/100 = 1.09

Therefore, the exponential function is:

$y = 20000 \cdot 1.09^x$ , where $x$ is the number of years

So when $x=8$ ,

$y = 20000 \cdot 1.09^8=39851.252...$

After 8 years, annual sales = $39,851.25

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.

Kobotan [32]

Answer:

The numbers are

$-2+3\sqrt{5}$ and $3\sqrt{5}$

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

$x=y-2$

$y=x+2$ ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

$4y+x^2=49$ ----> equation B

substitute equation A in equation B

$4(x+2)+x^2=49$

solve for x

$x^2+4x-41=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^2+4x-41=0$

$a=1\\b=4\\c=-41$

substitute in the formula

$x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}$

$x=\frac{-4\pm\sqrt{180}} {2}$

$x=\frac{-4\pm6\sqrt{5}} {2}$

$x=-2\pm3\sqrt{5}$

The positive real number is

$x=-2+3\sqrt{5}$

Find the value of y

$y=x+2$

$y=-2+3\sqrt{5}+2$

$y=3\sqrt{5}$

6 0

4 years ago

What is 2x-3y=8 solve for y

maw [93]

2x - 3y = 8....subtract 2x from both sides
-3y = -2x + 8 ...divide both sides by -3
y = 2/3x - 8/3

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3 years ago

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Will mark brainliest. only answer if you know it. random answers will be reported.

Alexandra [31]

Answer:

b = 17.55

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + b^2 = 18^2

16 + b^2 = 324

b^2 = 308

square root them

<u>b = 17.55</u>

let me know if it is correct!

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The 25 students in Mr. Byers 6th grade class each donated $3.00 for Mr. Byers' end of year gift. When Julie went to purchase the

kramer

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Anarel [89]

Answer:

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