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2 years ago

Solve

absmiddle" class="latex-formula"> find the exact values of x

Mathematics

1 answer:

Citrus2011 [14]2 years ago

8 0

$6x^2-42=0\implies 6x^2=42\implies x^2=\cfrac{42}{6}\implies x^2=7 \\\\\\ x=\pm\sqrt{7}\implies x\approx \pm 2.65$

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PLEASE HELP

Usimov [2.4K]

Answer:

$r\approx0.03\text{ or about $3\%$}$

Step-by-step explanation:

The standard compound interest formula is given by:

$\displaystyle A=P(1+\frac{r}{n})^{nt}$

Where A is the amount afterwards, P is the principal, r is the rate, n is the times compounded per year, and t is the number of years.

Since we are compounding annually, n=1. Therefore:

$\displaystyle A = P (1+r)^{t}$

Lester wants to invest $10,000. So, P=10,000.

He wants to earn $1000 interest. Therefore, our final amount should be 11000. So, A=11000.

And our timeframe is 3.3 years. So, t=3.3. Substituting these values, we get:

$11000=10000(1+r)^{3.3}$

Let’s solve for our rate r.

Divide both sides by 10000:

$1.1=(1+r)^{3.3}$

We can raise both sides to 1/3.3. So:

$\displaystyle (1.1)^\frac{1}{3.3}=((1+r)^{3.3})^\frac{1}{3.3}$

The right side will cancel:

$\displaystyle r+1=(1.1)^\frac{1}{3.3}$

So:

$\displaystyle r=(1.1)^\frac{1}{3.3}-1$

Use a calculator:

$r\approx0.03$

So, the annual rate of interest needs to be about 0.03 or 3% in order for Lester to earn his interest.

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2 years ago

Rewrite 14/36 in simplest form.

pychu [463]

7/18.

Hope this helps!

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2 years ago

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Give the appropriate theorem or postulate that can

vitfil [10]

Answer:

The right answer is A. AA Postulate

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2 years ago

Write the equation of the circle with the given graph.

lara [203]

By identifying the radius and the center, we concluded that the equation is something like:

$(x - 2)^2 + (y - 1.5)^2 = 1.8^2$

<h3></h3><h3>How to write the equation of the circle?</h3>

For a circle centered on the point (a, b) with a radius R, the equation is:

$(x - a)^2 + (y - b)^2 = R^2$

So first we need to identify the center, we can see that it is: (2, 1.5)

And the radius is the distance between the center and the edge.

R = 1.8 (measured with a ruler, respecting the notation of the graph).

Then the equation of the circle is something like:

$(x - 2)^2 + (y - 1.5)^2 = 1.8^2$

If you want to learn more about circles:

brainly.com/question/1559324

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1 year ago

I need help

marysya [2.9K]

Answer: Company C

Step-by-step explanation:

A: $150

B: $160

C: $140

D: $170

So Company C has the best rate.

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3 years ago