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Nookie1986 [14]
2 years ago
7

Jimmy needs to rent a banquet hall for a charity dinner. Facility A charges customers a one-time fee of $500 plus $15 for every

meal. Facility B charges customers a one-time fee of $1000 plus $5 for every meal.
Which inequality can be used to find m, the minimum number of meals that can be served so that the total charge at Facility A is less than the total charge at Facility B?


#1. 500+15m<1000+5m

#2. 500+15m>1000+5m

#3. 500m+15<1000m+5

#4. 500m+15>1000m+5
Mathematics
1 answer:
I am Lyosha [343]2 years ago
4 0
I would believe it to be option 2 Because (m) will be meals but for it to be less would be 500+15m>1000+5m
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The cost of having t-shirts printed at two different shops is displayed below. Use the information provided to answer the follow
Ivanshal [37]

Answer:

please add the attachment of this question

8 0
3 years ago
A boat is sighted from a 50-meter observation tower on the shoreline at an angle of depression of 4 degrees moving directly towa
MAXImum [283]

Answer:

  5.76 km/h

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides of a right triangle. Here, we are given the side opposite the angle (angle of depression), and we want to find the adjacent side (distance from shore).

  Tan = Opposite/Adjacent

  tan(4°) = (height of tower)/(distance from shore)

  tan(4°) = (50 m)/(distance from shore)

Then the distance from shore is ...

  distance from shore = (50 m)/tan(4°) ≈ 715.03 m

__

At the second sighting, the distance from shore is ...

  distance from shore = (50 m)/tan(12°) ≈ 235.23 m

So, the distance traveled in 1/12 hour is ...

  715.03 m - 235.23 m = 479.80 m

and the speed in km per hour is ...

  speed = 0.4798 km/(1/12 h) = 5.7576 km/h

The speed of the boat is about 5.76 km per hour.

4 0
3 years ago
Determine the future value of a $25000 investment at an annual rate of 4.85% compounded quarterly for 6 years.
Nutka1998 [239]
 = $ 32,275.00

Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 4.85%/100 = 0.0485 per year,
putting time into years for simplicity,
24 quarters ÷ 4 quarters/year = 6 years,
then, solving our equation

A = 25000(1 + (0.0485 × 6)) = 32275 
A = $ 32,275.00

The total amount accrued, principal plus interest,
from simple interest on a principal of $ 25,000.00
at a rate of 4.85% per year
for 6 years (24 quarters) is $ 32,275.00.
3 0
3 years ago
X-y=5 and x^2y=5x+6​
sergeinik [125]

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

#SPJ1

8 0
1 year ago
I need on this one please
Flauer [41]
Aimme is right. All the sides are obtuse. They do not equal exactly 90 degrees.
8 0
3 years ago
Read 2 more answers
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