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ELEN [110]
1 year ago
9

A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a

straight commission of 12%Of sales. How much in sales must he make in a week for both plans to result in the same salary?
Mathematics
1 answer:
bezimeni [28]1 year ago
6 0

Let 's' represent the amount of sales.

Plan 1:

\text{ \$700 + (4\% of s)}\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}

Plan 2:

12\text{ \% of s}\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}

Equating the two plans together and solving for the amount of sales,

\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\  \end{gathered}

Collecting like terms,

\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}

Divide both sides by 0.08,

\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}

Hence, the amount of sales is $8,750.

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Anastaziya [24]
That'd be true only if the value of "s" is the exact same one for both
namely  if sec(s) = cos(s)
then solving for "s"
thus

\bf sec(s)=cos(s)\qquad but\implies sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\\\
thus\cfrac{1}{cos(s)}=cos(s)\implies 1=cos^2(s)\implies \pm \sqrt{1}=cos(s)
\\\\\\
\pm 1=cos(s)\impliedby \textit{now taking }cos^{-1}\textit{ to both sides}
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cos^{-1}(\pm 1)=cos^{-1}[cos(s)]\implies cos^{-1}(\pm 1)=\measuredangle s
5 0
3 years ago
A school baseball team raised $810 for new uniforms.Each player sold 1 book of tickets.There were 10 tickets in a book and each
Leviafan [203]

Answer:

The school baseball team sold 270 tickets

Step-by-step explanation:

Step 1

Identify the total amount of tickets sold by each player;

1 player=1 book of tickets

But 1 book=10 tickets

Step 2

Express the total cost of ticket sales per book as follows;

total cost=cost per ticket×number of tickets per book

where;

cost per ticket=$3

number of tickets per book=10

replacing;

total cost=(3×10)=$30

Step 3

Using the expression below, solve for the number of tickets sold

Total amount raised=price per ticket×number of tickets sold

where;

total amount raised=$810

price per ticket=$3

number of tickets sold=n

replacing;

810=3×n

3 n=810

n=810/3=270

n=270

The school baseball team sold 270 tickets

5 0
3 years ago
Does anyone know how to solve this?
Olegator [25]

m=70/2=35

n=(360-70*2)/2=110

6 0
3 years ago
Read 2 more answers
X-y=-3<br> I just kinda need the answer
bezimeni [28]

Just so you know, you have to know at least one of the variables to find out what the other is. Like for example, X could equal 2, so that would make y equal 5. Or X could equal 23, and that would make y equal 26.

5 0
3 years ago
Please someone help me with this please. Thank you.
scoundrel [369]

Answer:

f(x)=2+3x

f(x)=1+2x

f(x)=3+4x

Step-by-step explanation:

(Refer to picture)

I worked really hard on this, if it's wrong, I'm throwing hands, haha

I explained some things too, so zoom in for my ugly handwriting

If you can't read something, just ask and I'll clarify!

5 0
3 years ago
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