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3 years ago

A store pays $22 for a duffel bag. The store marks up the price by

1 answer:

7 0

Marks UP the price by 30%.

There's two ways:
30% of $22, plus $22.
OR
130% of $22.

To save time, 130% of 22.

130/100 x 22
= 13/10 x 22
=13/5 x 11
=143/5
= 28.6

$28.6

Hope this helps!

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QUESTION :-

Galina-37 [17]

Answer:

92000

Step-by-step explanation:

Given:

I = 5% = 0.05
t = 2 years
Let the sum is x.

Simple interest:

SI = x*2*0.05 = 0.1x

Compound interest:

CI = x*(1 + 0.05)² - x = 1.1025x - x = 0.1025x

The difference is 230:

0.1025x - 0.1x = 230
0.0025x = 230
x = 230/0.0025
x = 92000

3 0

3 years ago

The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

3 0

3 years ago

Find the value of x and y

mrs_skeptik [129]

Answer: y is 40 x is 60

Step-by-step explanation:

5 0

3 years ago

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use the associative property to write two different expressions that you can use to find the sum add 1, 3 and 25

Mekhanik [1.2K]

(1+3)+25=1+(3+25)

(25+1)+3=25+(1+3)

5 0

2 years ago

This is going to be a easy question, help please

faltersainse [42]

Answer:

The distribution is symmetrical.

Step-by-step explanation:

The box plot is symmetrical.

6 0

2 years ago

Read 2 more answers