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3 years ago

Can someone please help me. I’ll mark u brainiest.

Mathematics

1 answer:

snow_lady [41]3 years ago

6 0

Answer:

y = 240,000(1.048)^t

Step-by-step explanation:

Initial population: p = 240,000

Annual growth rate: 4.8% = 0.048

Number of years: t

Population in year t: y

y = p(1 + r)^t

y = 240,000(1 + 0.048)^t

y = 240,000(1.048)^t

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What are the focus and directrix of the parabola with the equation y=1/12 x^2

Nataly [62]

<h2>Answer:</h2>

$\boxed{y=-3}$

<h2>Step-by-step explanation:</h2>

The graph of this parabola is shown below. From this graph we know that:

VERTEX:

$(h,k)=(0,0)$

DIRECTIX:

Since the vertex lies on the origin and the parabola opens upward, then the standard form of this parabola is:

$x^2=4py$

So:

$y=\frac{1}{12}x^2 \\ \\ \therefore 12y=x^2 \ or \ x^2=12y \\ \\ \\ Then: \\ \\ 4p=12 \therefore p=3$

Then the directrix is:

$y=k-p \\ \\ \therefore y=0-3 \therefore \boxed{y=-3}$

4 0

3 years ago

Simplify this expression.<br> 20.25 – 9 + 11<br> о<br> 1<br> 4<br> 0 18.75<br> 0<br> 21?<br> 0 40.75

Greeley [361]

Answer:

$21\frac{3}{4}$

Step-by-step explanation:

Step 1: Add the numbers.

20.25 can also be expressed as $20\frac{1}{4}$ , because $\frac{2025}{100}$ = $\frac{81}{4}$ = $20\frac{1}{4}$ . So if we add $20\frac{1}{4}$ and 11, we would get $31\frac{1}{4}$

Step 2: Solve

$31\frac{1}{4} -9\frac{1}{2}$

Subtract the whole numbers

$31-9=21$

Combine the fractions

This means addition. Also, since our denominators are not the same value, we have to find the LCM (Least Common Denominator): What do 2 and 4 have in common that they can divide themselves by? 4. We know this because 2 divided by 4 is 2, and 4 divided by 4 is 1, so they can both divide themselves by 4.

$\frac{5}{4}-\frac{1}{2}$