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2 years ago

In permutations, order matters.

Mathematics

1 answer:

Anton [14]2 years ago

6 0

The order you put the numbers in matters.

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vladimir1956 [14]

Answer:

Inequality: 0.08x + 2300 ≥ 2800

Liz needs to sell products of $6250 at least.

Step-by-step explanation:

Given that:

Per month salary of Liz = $2300

Commission = 8% = $\frac{8}{100}}$ = 0.08

Amount Liz wants to earn = $2800

Let,

x be the amount of sales.

0.08x + 2300 ≥ 2800

0.08x ≥ 2800 - 2300

0.08x ≥ 500

Dividing both sides by 0.08

$\frac{0.08x}{0.08}\geq \frac{500}{0.08}\\x\geq 6250$

Hence,

Liz needs to sell products of $6250 at least.

5 0

2 years ago

If x+1/x = 5 find the value of x^3 +1/x^3. pls solve

Korolek [52]

Answer:

1) solve x+1/x = 5

$\frac{x + 1}{x} = 5$

$x + 1 = 5x$

$x - 5x = - 1$

$- 4x = - 1$

$x = \frac{ -1}{ - 4}$

$x = \frac{1}{4}$

2) solve x³+1/x³

$x {}^{3} + \frac{1}{x {}^{3} }$

substitute x = 1/4 into the expression

$( \frac{1}{4} ) {}^{3} + \frac{1}{( \frac{1}{4}) {}^{3} }$

$\frac{1}{64} + \frac{1}{ \frac{1}{64} }$

$\frac{1}{64} + \frac{64 \times 1}{1}$

$\frac{1}{64} + 64$

$\frac{4097}{64} \: or \: 64.02$

5 0

3 years ago

Jessie served 11 pints of orange juice at her party. How many quarts of orange juice did she serve

Savatey [412]

Answer:

5 and 1/2 quarts

Step-by-step explanation:

A quart is 2 pints

8 0

2 years ago

Read 2 more answers

When Julio cracked open his piggy bank, he

jok3333 [9.3K]

Answer:

52 quarters, 42 dimes

Step-by-step explanation:

Let's call the number of quarters q, and the number of dimes d.

q+d=94

0.25q+0.1d=17.20

Subtract q from both sides of the first equation to isolate d:

d=94-q

0.25q+0.1(94-q)=17.20

0.25q+9.4-0.1q=17.20

0.15q=7.8

q=52

d=94-q=42

Hope this helps!

5 0

3 years ago

Consider the functions below. f(x, y, z) = x i − z j + y k r(t) = 4t i + 6t j − t2 k (a) evaluate the line integral c f · dr, wh

fredd [130]

With

$\vec r(t)=4t\,\vec\imath+6t\,\vec\jmath-t^2\,\vec k$

we have

$\mathrm d\vec r=(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

The vector field evaluated over this parameterization is

$\vec f(x,y,z)=\vec f(x(t),y(t),z(t))=4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k$

so the line integral is

$\displaystyle\int_{-1}^1(4t\,\vec\imath+t^2\,\vec\jmath+6t\,\vec k)\cdot(4\,\vec\imath+6\,\vec\jmath-2t\,\vec k)\,\mathrm dt$

$=\displaystyle\int_{-1}^1(16t+6t^2-12t^2)\,\mathrm dt=-4$

6 0

3 years ago