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3 years ago

Paula's house is assessed at $213,000, and her property tax rate is 2.9%. How

Mathematics

2 answers:

ivanzaharov [21]3 years ago

5 0

Pretty sure that it is A

NARA [144]3 years ago

3 0

Answer:A

Step-by-step explanation:

She is taxed at a rate of 2.9%, so each year she is taxed 213000 * 2.9% . calculating this, we find that every year, she must pay 6177 in taxes. However, we need the amount in a month, so we divide by 12, to get 6177/12= 514.75, or A

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Find the amount in a continuously compounded account for the following condition. Principal, $4000; Annual interest rate, 5.

soldi70 [24.7K]

<h3>Answer: 4745.96 dollars</h3>

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

Explanation:

We have this given info

P = 4000 = principal
r = 0.057 = annual interest rate in decimal form
t = 3 = number of years

Use this to plug into the formula below

$A = Pe^{r*t}\\\\A = 4000*e^{0.057*3}\\\\A \approx 4,745.96299608713\\\\A \approx 4,745.96\\\\$

You'll need your calculator, and the calculator needs the "e" button.

The "e" refers to the special constant 2.718... which is similar to pi = 3.14...

7 0

2 years ago

Solve x^2-12x+5=0 using the completing the square method

djyliett [7]

Answer:

x= 6 ± √31

Step-by-step explanation:

x^2-12x=-5

x^2 -12x +36= -5 +36

(x -6)^2= 31

√(x -6)^2= ±√31

(x-6)= ±√31

x= 6 ± √31

3 0

2 years ago

Write the equation in slope intercept form y= 3 (x+ 1) + 5x

schepotkina [342]

Given:

$y=3(x+1)+5x$

Required:

To write the given equation in slope intercept form.

Explanation:

Consider

$\begin{gathered} y=3(x+1)+5x \\ \\ y=3x+3+5x \\ \\ y=8x+3 \end{gathered}$

Final Answer:

$y=8x+3$

5 0

1 year ago

One horsepower is equal to how many foot pounds of work per second

gizmo_the_mogwai [7]

I belive its 5 fpow i think

7 0

3 years ago

Read 2 more answers

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago