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3 years ago

PLEASE ANSWER QUICKLY! WILL GIVE BRANLIEST

Mathematics

1 answer:

uysha [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Let x represent the seating capacity

Number of seats = 40+x

Profit per seat = 10 - 0.20x

For maximum number of seats

P(x) = ( 40+x ) ( 10-0.20x )

P(x) = 400+10x-8x-0.2x^2

P(x) = 400+2x- 0.2x^2

Differentiating with respect to ( x )

= 2 - 0.4x

0.4x = 2

x = 2/0.4

x = 5

The seating capacity will be 40+5 = 45

For the maximum profits

40X10+ 9.9 + 9.8 + 9.7 + 9.6 + 9.5 + 9.4 + 9.3 + 9.2 + 9.1 + ... 1.0, 0.9, 0.8, 0.6, 0.5, 0.4, 0.3, 0.2, 0.1

= 400 + an arithmetic series (first term = 0.1, common difference = 0.1, number of terms = 8+ 40 = 48 )

= 400 + (48/2)(2X0.1 + (48-1)X0.1)

= 400 + 24(0.2 + 4.7)

= 400 + 24(4.9)

= 400 + 117.6

= 517.6

= 517.6dollars

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Answer:

XY is a tangent

Step-by-step explanation:

Given

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$WZ = 8$

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Because XY should make a right angle at point X with the circle

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Lets explain how to solve the problem

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We can use the ratio to find the answer

======= Dollar : Kilogram

======= 7.5 : $\frac{5}{6}$

======= c : $4\frac{5}{7}$

By using cross multiplication

∴ c × $\frac{5}{6}$ = 7.5 × $4\frac{5}{7}$

∵ $4\frac{5}{7}$ = $\frac{4*7+5}{7}$

∴ $4\frac{5}{7}$ = $\frac{33}{7}$

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Divide both sides by $\frac{5}{6}$

∴ c = $\frac{495}{14}$ ÷ $\frac{5}{6}$

Change the division sign to multiplication sign and reciprocal the

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3 years ago

Read 2 more answers