Ask question

Ask question

All categories

3 years ago

9

Luis wants to buy a skateboard that usually sells for $79.60. All merchandise is discounted by 12%. What is the total cost of th

e skateboard if Luis has to pay a state sales tax of 8.25%. Round your intermediate calculations and answer to the nearest cent.

2 answers:

andrey2020 [161]3 years ago

6 0

6.25% sorry if i’m wrong

Nuetrik [128]3 years ago

4 0

Answer:

6.25%

Step-by-step explanation:

You might be interested in

Find the absolute extrema for f(x,y)=4-x^2-y^4+1/2y^2 over the closed disk D:x^2+y^2 is less than or equal to 1

algol [13]

Find the critical points of $f(x,y)$ :

$\dfrac{\partial f}{\partial x}=-2x=0\implies x=0$

$\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12$

All three points lie within $D$ , and $f$ takes on values of

$\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}$

Now check for extrema on the boundary of $D$ . Convert to polar coordinates:

$f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t$

Find the critical points of $g(t)$ :

$\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0$

$\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2$

$\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi$

where $n$ is any integer. There are some redundant critical points, so we'll just consider $0\le t< 2\pi$ , which gives

$t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3$

which gives values of

$\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}$

So altogether, $f(x,y)$ has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

5 0

3 years ago

The submarine is underwater. It’s position is 645 feet below sea level. It rises in the water 100 feet and then descends 100 fee

kolbaska11 [484]

Hello!

This submarine rose 100 feet (+100) and then descended (-100). Usually in an equation this would cancel out and make 0. Therefore, our answer is 0.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Slove the question l10.24l

natta225 [31]

Answer:

10.24

Step-by-step explanation:

absolute value is always the same number but positive. Hope I helped.

5 0

3 years ago

PLEASE ANSWER QUCIK I WILL GIVE BRAINLIEST

Fantom [35]

Answer:

1/16

Step-by-step explanation:

4 0

3 years ago

Given f(x) = 3 4 x + 12, find the value of x when f(x) = x.

Stells [14]

Here's your answer...
Don't forget to mark the brainliest...!!

7 0

4 years ago