What is the value of the expression when b=4

John earns $24,008 per year and claims 3 exemptions. His local tax rate is 5.5%. The amount for each exemption is $800. How much

algol [13]

Johns monthly earnings will be $ 576,192

6 0

3 years ago

Read 2 more answers

Please help me with this math question

Alja [10]

Answer:

5.50 years

Step-by-step explanation:

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

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

3178 = 2000(1+.086/2)^2t

t = 5.499904413

7 0

3 years ago

The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competi

Bogdan [553]

Answer:1 and 2

Step-by-step explanation:

Given

Volume needed $V=220\ in.^3$

For first cylinder

$r=3\ in.$

$h=4\ in.$

$V=\pi r^2h$

$V_1=\pi (3)^2(4)$

$V_1=113.11\ in^3$

For second cylinder

$r=4\ in.$

$h=4\ in.$

$V=\pi r^2h$

$V_2=\pi (4)^2(4)$

$V_2=201.08\ in^3$

For Third cylinder

$r=9\ in.$

$h=9\ in.$

$V=\pi r^2h$

$V_3=\pi (9)^2(9)$

$V_3=2290.51\ in^3$

For fourth cylinder

$r=4\ in.$

$h=9\ in.$

$V=\pi r^2h$

$V_4=\pi (4)^2(9)$

$V_4=452.448\ in^3$

So, cylinder $1$ and $2$ are appropriate as it is under $220\ in.^3$

3 0

3 years ago

a norman window has the shape of a rectangle surmounted by a semicircle. if the perimeter of the window is 25 feet, express the

sp2606 [1]

The area of the window is $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

The shape of the Norman window is described as a rectangle surmounted by a semicircle.

Let 'x' be the width of the window.

Then this width corresponds to the diameter of the semicircle.

That is, radius of the semicircle = x/2

Now given the perimeter of the whole window = 25 ft

This perimeter is equal to the sum of 3 sides of the rectangle and the perimeter of the semicircle.

Perimeter of the semicircle = $\frac{2\pi r}{2} = \frac{\pi x}{2}$ , where r is the radius of the semicircle.

Now let 'y' be the length of the window.

Then sum of three sides of the window = 2y + x

So 2y + x + $\frac{\pi x}{2}$ = 25

Therefore, $y =( 25 - x - \frac{\pi x}{2} ) / 2$

Area of the window = Area of the semicircle + Area of the rectangle =

$\frac{\pi x^2}{8} +xy = \frac{\pi x^2}{8} + x( 25 - x - \frac{\pi x}{2} ) / 2\\ = \frac{\pi x^2}{8} + (25x - x^2 - \frac{\pi x^2}{2} ) / 2$

So Area of the window = $\frac{25x}{2} -(1 +\frac{\pi}{2} )\frac{x^2}{2}$

Learn more about area of circle and rectangle at brainly.com/question/4694841

#SPJ4

7 0

2 years ago

La apotema de un hexagono regular mide 5.2 cm. Calcula el lado y el area delo hexagono. Por favor es urgente

Marta_Voda [28]

Bonjour,

Soit c le côté de l' hexagone.

On a 5.2²+(c/2)²=c²

==>c²=5.2*4/3

c²=104/15

c=√(104/15)=2,6331223544175332023251281391631...

Aire de l'hexagone= 5.2*c/2*6=41,076708728913517956271998970944

Je me suis permis de répondre en Français car l'énoncé était en Espagnol. (Thanks to Google translator)

8 0

3 years ago