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Sophie [7]
3 years ago
15

Mark owns a personal training business. He makes a total of $500 for every 3 clients he acquires. How much money will 21 clients

bring in?
Mathematics
2 answers:
IRISSAK [1]3 years ago
8 0

Answer:

$3,500

Step-by-step explanation:

500:3

3x7=21

500x7=3,500

$3,500 for 21 cilents

Scrat [10]3 years ago
3 0

Answer:

3,500 is the answer of this question

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<img src="https://tex.z-dn.net/?f=6%2F5%20%28cos%28120%29%20%2B%20isin%28120%29%29%203%2F5%20%28cos%2845%29%20%2B%20i%20sin%2845
marysya [2.9K]

The product is equal to:

\frac{18}{25}(cos(165) + i*sin(165))

<h3>How to solve the product?</h3>

Remember that we can write a complex number in polar form as:

R*e^{i*a} = R*(cos(a) + i*sin(a))

Then the given product:

\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))

can be rewritten to:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})

Now is easier to solve the product:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\=  \frac{18}{25}(cos(165) + i*sin(165))

If you want to learn more about complex numbers:

brainly.com/question/10662770

#SPJ1

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