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Juliette [100K]
2 years ago
14

Introduction to complex numbers 5VV

Mathematics
1 answer:
sesenic [268]2 years ago
6 0

Step-by-step explanation:

sqrt(-4) = sqrt(4×-1) = sqrt(4)×sqrt(-1) = 2i

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Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. She wants to earn at least $2,900 this month. Ente
Kaylis [27]

Answer: the sales for the month must be greater than or equal to $6666.7

Step-by-step explanation:

Let x represent her sales for the month.

Liz earns a salary of $2,500 per month, plus a commission of 6% of her sales. If she makes sales worth $s for the month, then her commission for the month would be

6/100 × s = 0.06 × s = 0.06s

Her total income for a month would be

2500 + 0.06s

She wants to earn at least $2,900 this month.

Therefore, the inequality that represents the situation would be

2500 + 0.06s ≥ 2900

0.06s ≥ 2900 - 2500

0.06s ≥ 400

s ≥ 400/0.06

s ≥ 6666.7

5 0
4 years ago
Hannah Ortega is considering expanding her business. She plans to hire a salesperson to cover trade shows. Because of compensati
mariarad [96]

Answer:

a) Total Cost for EzRecords = $13000

Cost per unit of EzRecords = $162.50

Total Cost for ProOffice = $10000

cost per unit of ProOffice = $200.00

b) Total Cost for EzRecords = $25000

Cost per unit of EzRecords = $125.00

Total Cost for ProOffice = $17500

cost per unit of ProOffice = $175.00

Step-by-step explanation:

a) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 80 = $8000

Variable Cost of proOffice products = $150 × 50 = $7500

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $8000

Variable cost for ProOffice = $7500

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $8000 = $13000

Total Cost for ProOffice = $2500 + $7500 = $10000

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 13000/(80) = $162.50

Cost per unit of ProOffice = 10000/50 = $200.00

b) Total Cost = Fixed Cost + Variable Cost

Fixed Cost = $7500

Variable Cost = cost of making a unit of output × number of units produced.

Variable Cost of EzRecords products = $100 × 200 = $20000

Variable Cost of proOffice products = $150 × 100 = $15000

Fixed Cost for EzRecords = (20/30) × 7500 = $5000

Fixed Cost for ProOffice = (10/30) × 7500 = $2500

Variable cost for EzRecords = $20000

Variable cost for ProOffice = $15000

Total cost for EzRecords = Fixed Cost + Variable Cost = $5000 + $20000 = $25000

Total Cost for ProOffice = $2500 + $15000 = $17500

Cost per unit for EzRecords = (total cost of production)/(total units produced) = 25000/(200) = $125.00

Cost per unit of ProOffice = 17500/100 = $175.00

8 0
3 years ago
The money used in Saudi Arabia is called the Riyal. The exchange rate is 4 Riyals to $1. Find how many Riyals you would receive
Lorico [155]

20 Riyal

5 x 4 = 20

Hope this helped :)

4 0
3 years ago
Read 2 more answers
how to calculate surface area of a donut shape, that is 1 inch wide, has a outer radius of 2.5 and a inner radius of 1.5
stiv31 [10]
Speed is 250 or 4.5=55.55555
8 0
3 years ago
When Jonas does his math homework, he spends an average of 2 minutes on each problem. Last night he spent 1.6 hours on his non-m
alexgriva [62]

Answer:

C.  

1.8 hours

Step-by-step explanation:

total homework time = math homework time + non math homework time

math homework time = 5 problems * 2 minutes/problem

                                   = 10 minutes

                                     = 10 minutes * 1hr/60 minutes = .167 hrs


non math homework time = 1.6 hours


total homework time = math homework time + non math homework time

total homework time = .167 + 1.6

total homework time = 1.77 hrs

rounding

total homework time = 1.8 hrs

5 0
3 years ago
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