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2 years ago

9

susan made 4 dozen cupcakes she placed them in boxes containing 4 cupcakes and sold each box for 8.75. how much money did she ea

rn

1 answer:

Natasha_Volkova [10]2 years ago

6 0

Answer: Susan has 105 dollars

Step-by-step explanation:

dozen is 12, 12 times 4 is 48, 48 divided by 4 is 12, 12 times 8.75 is 105

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7 cos x+1=6 secx solve for x

jonny [76]

7cos(x) + 1 = 6sec(x)
7cos(x) + 1 = 6/cos(x)
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3 years ago

Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0

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$y = e^{-sin(x)}$

$y' = -e^{-sin(x)}(cos(x))$

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When is cos (x) = 0? <em>at 90° (aka π/2)</em>

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3 years ago

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Aleks [24]

Using pythagoras

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The final answer

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1 year ago

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3 years ago

A rectangular parking lot must have a perimeter of 440 feet and an area of at least 8000 square feet. Describe the possible leng

tangare [24]

Answer:

The possible parking lengths are 45.96 feet and 174.031 feet

Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

A rectangular parking lot must have a perimeter of 440 feet

Perimeter of rectangular plot =2(l+b)=2(x+y)=440

2(x+y)=440

x+y=220

y=220-x

We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

$220x-x^2 \leq 8000$

So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

General quadratic equation : $ax^2+bx+c=0$

Formula : $x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$

$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

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3 years ago