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grigory [225]
3 years ago
6

The function, f(x)=70n-400, models the profit of the instructor of a guitar class per month, where n is the number of students e

nrolled in the class.
How many students must be enrolled in the class for the instructor to make a profit?


How many students must be enrolled in the class if the instructor needs to make 1,000.00 profit per month?

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

profit=f(x)

so solve for f(x)=1000

1000=70n-400

add 400 to both sides

1400=70n

divide both sides by 70

20=n

20 students need to be enrolled to make a profit of 1000.00

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PLEASE HELP WITH THESE TWO QUESTIONSSS 1. Which value is equivalent to sin20∘?
Nata [24]

Answer:

a) \cos(70\degree)

b) 12.72 units

Step-by-step explanation:

Recall that the sine and cosine are completed functions.

This means that:  \sin(x)=\cos(90-x)

\sin(20\degree)=\cos(90-20)

\sin(20\degree)=\cos(70\degree)

Recall that: sine ratio is opposite/hypotenuse

\sin 58=\frac{|PQ|}{15}

This implies that:

|PQ|=15\sin 58

|PQ|=15(0.848)

|PQ|=12.72

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4 years ago
Anyone know how to do this?​
vovikov84 [41]

Answer:

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4 years ago
Read 2 more answers
A fishing lodge wants to build a new boat ramp. The slope of the ramp must be 8° to the horizontal. The total height of the bank
Likurg_2 [28]

Answer:

The length of the sloping section of the ramp is 20.12 m

Step-by-step explanation:

Given;

the total height of the bank, h = 2.8 m

The slope of the ramp must be 8° to the horizontal, i.e, θ = 8°

Let the length of the sloping section = L

let the horizontal distance between the height of the bank and sloping section = b

Thus, h, L and b forms three sides of a right angled-triangle, with L as the hypotenuse side, h  (height of the triangle) as the opposite side and b  (base of the triangle) as the adjacent side.

We determine L by applying the following formula;

Sinθ = opposite / hypotenuse

Sin θ = h / L

L = h / Sin θ

L = 2.8 / Sin 8

L = 2.8 / 0.13917

L = 20.12 m

Therefore, the length of the sloping section of the ramp is 20.12 m

6 0
3 years ago
If a stadium has 50,000 seats, how many concert tickets would have to be sold for the event to be 85% sold out?
Anvisha [2.4K]

Answer:

42500

Step-by-step explanation:

50000x0.85=42500

6 0
2 years ago
Use partial quotients to solve 504 divide 14
miv72 [106K]

Answer:

Perform the following division using partial quotients: 504 ÷ 14:

To reduce the numerator, we will be multiplying the denominator by factors of 10, 5, 2, and 1

Step-by-step explanation:

1 4| 5 0 4

2 8 0 20 <---- 20 x 14 = 280

2 2 4 <---- 504 - 280 = 224

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10 <---- 10 x 14 = 140

8 4 <---- 224 - 140 = 84

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5 <---- 5 x 14 = 70

1 4 <---- 84 - 70 = 14

1 4| 5 0 4

2 8 0 20

2 2 4

1 4 0 10

8 4

7 0 5

1 4

1 4 1 <---- 1 x 14 = 14

0 <---- 14 - 14 = 0

Our partial quotients add up as follows:

20 + 10 + 5 + 1 = 36

I hope it helps plz Mark me brainliest:)

5 0
3 years ago
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