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3 years ago

Ms Harris has a taco stand. She has found that her daily costs are approximated by the following equation:

1 answer:

3 0

a. find the number of units of tacos she must sell to minimise her cost.
to find a minimum we need to find the function derivative and make it equal to zero:
dc/dx = 2x - 40 = 0
2x = 40
x = 20
therefore to minimize the cost, she needs to sell 20 units of tacos

b. find the minimum cost.
that can be done by substituting the previous result, 20 tacos, in the original equation:
C(x) = x^2 - 40x + 610
C(20) = (20)^2 - 40(20) + 610
= 400 - 800 + 610
= 210
the minimum cost will be 210 dollars

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2015:

250 members

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2016

250 members + 4%

$95 annual subscription + 6%

Work:

250 x 1.04 = 260

95 x 1.06 = 100.7

260 x 100.7 = 26,182

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3 years ago

The following graph represents the distance a commercial airplane travels over time, at cruising speed and an altitude of 35,000

ANEK [815]

Answer:

see the explanation

Step-by-step explanation:

The picture of the question in the attached figure

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

x ----> the time in hours

y ----> the distance in miles

Find the value of k

For the point (4,2268)

$k=\frac{2,268}{4}=567\ mph$

The slope represent the speed of the airplane

The linear equation is

$y=567x$

Part 1 :

The point (0,0) represents the starting point of the aircraft, when the time and distance are equal to zero. The cruising starts when time t = 0.

Part 2 :

The point (4, 2268) represents the plane after 4 hours of cruise , and shows it has traveled a distance of 2268 miles after 4 hours

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3 years ago

ryan can build 4 desks in one day and larry can build 4 desks in 2 days. if larry starts work one day before ryan, how long will

MissTica

You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.

Ryan can build 4 desks in a day, so you could express his production as 4d.

Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.

If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:

2 + 4d + 2d = 32.

Then just simplify and solve:

6d = 30
d = 5.

It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!

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3 years ago

How can you divide 512 Dollars between two people So that one person can get $20 more than the other

Naya [18.7K]

Step-by-step explanation:

It is possible

One person will get 246 while the other will get 266 = 512

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4 years ago

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