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2 years ago

I

Mathematics

1 answer:

zepelin [54]2 years ago

6 0

Answer: $27,279

Step-by-step explanation:

The data is:

Clarissa earned $2,247 per month, in the first 7 months.

After that, she earned $2,310 per month.

What total gross pay did Clarissa earned in one year?

Ok, a year has 12 months, in the first 7 months she earned $2,247 per month, so 7 times $2,247, this is:

7*$2,247 = $15,729

And in the other 12 - 7 = 5 months, she earned $2,310 per month, so 5 times $2,310.

5*$2,310 = $11,550

Adding those togheter:

Total gross = $15,729 + $11,550 = $27,279

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2 years ago

The general form of an parabola is 2x2−12x−3y+12=0 .

Murljashka [212]

Answer:

The standard form of the parabola is $(x-3)^2=4*\frac{3}{8}(y+2)$

Step-by-step explanation:

The standard form of a parabola is

$(x-h)^2=4p(y-k)$ .

In order to convert $2x^2-12x-3y+12=0$ into the standard form, we first separate the variables:

$2x^2-12x+3y+12=0\\\\2x^2-12x+12=3y$

we now divided both sides by 2 to remove the coefficient from $2x^2$ and get:

$x^2-6x+6=\frac{3}{2}y$ .

We complete the square on the left side by adding 3 to both sides:

$x^2-6x+6+3=\frac{3}{2}y+3$

$x^2-6x+9=\frac{3}{2}y+3$

$(x-3)^2=\frac{3}{2}y+3$

now we bring the right side into the form $4p(y-k)$ by first multiplying the equation by $\frac{2}{3}$ :

$\frac{2}{3} *(x-3)^2=\frac{2}{3} *(\frac{3}{2}y+3)\\\\\frac{2}{3} *(x-3)^2=y+2$

and then we multiplying both sides by $\frac{3}{2}$ to get

$(x-3)^2=\frac{3}{2} (y+2)$ .

Here we see that

$4p=\frac{3}{2}$

$\therefore p=\frac{3}{8}$

Thus, finally we have the equation of the parabola in the standard form:

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Answer:

See below

Step-by-step explanation:

See numbers as table below and as attachment

Calculation used to get numbers:

Ratio = owners/population, round to 5 decimal places
Owners per 100 = ratio*100, round to 1 decimal place

==============================================================

City Owners Population Ratio Owners per 100

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Tokyo 1,700,510 26,500,000 0.06417 6.4

==============================================================

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3 years ago