All categories

4 years ago

7. A clothing salesman wants to earn $6,000 in May. He receives a base salary of $4,000 per month as well as 10%

Mathematics

1 answer:

olya-2409 [2.1K]4 years ago

4 0

Answer:

No of clothes to be sold to gain $6000=20,000

Given:

Base salary = $4000

Rate of Commission = 10%

Amount salesman wants to earn in May = $6000

To find:

How much clothing units needed to be sold in order gain $6000 in may

<u>Step by Step Explanation: </u>

Solution;

According to the formula;

$\text { Amount earned through commission }=\text { Total amount earned - Base salary }$

=6000 - 4000 = 2000

Also we know,

$\text { Amount earned through commission }=\text { Rate of Commission } \times \text { clothing to be sold }$

Let the commission amount be x

$10 \% \times x=2000$

$10 / 100 \times x=2000$

$0.1 \times x=2000$

$x=20,000 \div 0.1$

x=20,000

Result:

Hence, the clothing to be sold in order to earn $6000 is 20,000 units.

You might be interested in

Anyone wanna be friends? im so bored my phone got taken need people to talk to on here

stira [4]

Answer:

sure

Step-by-step explanation:

3 0

3 years ago

Elise has a budget of thirty dollars to spend on back-to-school clothes. she finds some shirts she likes that cost fifteen dolla

Alexandra [31]

X is equal to 2 because thirty divide fifteen is two

5 0

3 years ago

In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end qu

Leya [2.2K]

Explanation:

The equation of comet E is given below as

$\frac{(y+16)^2}{400}+\frac{x^2}{144}=1$

The equation of comet H is modelled below as

$\frac{(y+13)^2}{144}-\frac{x^2}{25}=1$

Given, that the Sun is located at the origin.

This is an equation of an ellipse. So, the path traveled by Comet e is an elliptic path.

Comparing with the Standard equation of ellipse: below,we will have

$\frac{(y-k)^2}{b^2}+\frac{(x-h)^2}{a^2}$

Whise center is

$\begin{gathered} center=(h,k) \\ vertices=(h\pm a,0) \end{gathered}$

By comparing coefficient, we will have

$\begin{gathered} a^2=144 \\ a=12 \\ b^2=400 \\ b=20 \\ k=-16 \\ h=0 \\ (h,k)=(0,-16) \end{gathered}$

Hence,

The vertex of comet E will be

$\begin{gathered} (h\pm a,0) \\ (0+12,0),(0-12,0) \\ (12,0),(-12,0) \end{gathered}$

The vertex of comet E is

$(12,0),(-12,0)$

Part C:

It is the foci forboth comets

$\begin{gathered} cometE: \\ c=\sqrt{b^2-a^2} \\ c=\sqrt{400-144} \\ c=\sqrt{256} \\ c=16 \\ \\ For\text{ comet F:} \\ c=\sqrt{a^2-b^2} \\ c=\sqrt{144+25} \\ c=\sqrt{169} \\ c=13 \end{gathered}$

Hence,

The foci will be

$\begin{gathered} (16\pm16,0) \\ cometE \\ (0,0),(32,0) \\ cometF: \\ (13\pm13,0) \\ (0,0),(26,0) \end{gathered}$

5 0

1 year ago

A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

4 0

3 years ago

(NO LINKS)

Harlamova29_29 [7]

Answer:

x = 5 pens

y = 7 pencils

Step-by-step explanation:

let

x = the number of pens

y = the number of pencils

Anthony spent $2.80 to buy a total of 12 pens and pencils

0.35x + 0.15y = 2.80

x + y = 12

by solving the system of equations

0.35x + 0.15y = 2.80

x + y = 12

we find

x = 5 pens

y = 7 pencils

6 0

3 years ago