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Kobotan [32]
3 years ago
10

As a salesperson, you are paid $50 per week plus $2 per sale. This week you want your pay to be at least $100. What is the minim

um number of sales you must make to earn at least $100?
Mathematics
2 answers:
Georgia [21]3 years ago
8 0
50+2x=100
-50       -50(subtract 50 from both sides)
       2x=50 (divide both sides by 2)
        x=25
Vikentia [17]3 years ago
8 0

Answer:

Step-by-step explanation:

You might be interested in
why do we need imaginary numbers?explain how can we expand (a+ib)^5. finally provide the expanded solution of (a+ib)^5.(write a
zheka24 [161]

Answer:

a. We need imaginary numbers to be able to solve equations which have the square-root of a negative number as part of the solution.

b. (a + ib)⁵ = a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

Step-by-step explanation:

a. Why do we need imaginary numbers?

We need imaginary numbers to be able to solve equations which have the square-root of a negative number as part of the solution. For example, the equation of the form x² + 2x + 1 = 0 has the solution (x - 1)(x + 1) = 0 , x = 1 twice. The equation x² + 1 = 0 has the solution x² = -1 ⇒ x = √-1. Since we cannot find the square-root of a negative number, the identity i = √-1 was developed to be the solution to the problem of solving quadratic equations which have the square-root of a negative number.

b. Expand (a + ib)⁵

(a + ib)⁵ =  (a + ib)(a + ib)⁴ = (a + ib)(a + ib)²(a + ib)²

(a + ib)² = (a + ib)(a + ib) = a² + 2iab + (ib)² = a² + 2iab - b²

(a + ib)²(a + ib)² = (a² + 2iab - b²)(a² + 2iab - b²)

= a⁴ + 2ia³b - a²b² + 2ia³b + (2iab)² - 2iab³ - a²b² - 2iab³ + b⁴

= a⁴ + 2ia³b - a²b² + 2ia³b - 4a²b² - 2iab³ - a²b² - 2iab³ + b⁴

collecting like terms, we have

= a⁴ + 2ia³b + 2ia³b - a²b² - 4a²b² - a²b² - 2iab³  - 2iab³ + b⁴

= a⁴ + 4ia³b - 6a²b² - 4iab³ + b⁴

(a + ib)(a + ib)⁴ = (a + ib)(a⁴ + 4ia³b - 6a²b² - 4iab³ + b⁴)

= a⁵ + 4ia⁴b - 6a³b² - 4ia²b³ + ab⁴ + ia⁴b + 4i²a³b² - 6ia²b³ - 4i²ab⁴ + ib⁵

= a⁵ + 4ia⁴b - 6a³b² - 4ia²b³ + ab⁴ + ia⁴b - 4a³b² - 6ia²b³ + 4ab⁴ + ib⁵

collecting like terms, we have

= a⁵ + 4ia⁴b + ia⁴b - 6a³b² - 4a³b² - 4ia²b³ - 6ia²b³ + ab⁴ + 4ab⁴ + ib⁵

= a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

So, (a + ib)⁵ = a⁵ + 5ia⁴b - 10a³b² - 10ia²b³ + 5ab⁴ + ib⁵

5 0
3 years ago
Can somebody help me with this it a little hard
raketka [301]

24 3-pound bags(72 pounds) and 10 5-pound bags(50 pounds). 72+50 = 122 pounds, 24+10 bags = 34 bags.

7 0
3 years ago
4cm<br> 10cm<br> Base=<br> Height=<br> Area=
Anton [14]

Answer:

Step-by-step explanation:

If you're talking about a square, then the area would be 40.

If you're talking about a triangle, then the area would be 20.

8 0
3 years ago
I need help on a McGraw hill assignment its due soon pls help.
blagie [28]

Answer:

1850

Step-by-step explanation:

The problem is asking you how many kids (predicted by the superintendent) will buy lunches for 1-2 days. Since you know the percentage predicted and the student amount, just multiply as a decimal (convert by putting the number over 100 as a fraction.)

5000*0.37=1850

4 0
2 years ago
Read 2 more answers
A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The su
maria [59]
Probability (rock) :

78 / 150 = 13/25 = 52%

Rock is preferred by 52% of the 150 visitors that were surveyed

To find how many people will likely sell from the rock genre, you need to find 52% of the estimated sales (6,000 copies).

      52% • 6000 = 3,120

Answer: C. 3,120
4 0
3 years ago
Read 2 more answers
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