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chubhunter [2.5K]
3 years ago
8

The sum of two numbers is 80. The difference between the number is 14. Find the numbers

Mathematics
1 answer:
spin [16.1K]3 years ago
4 0

Answer:

80 -14=66 and 66-80=52 if we check the 66-52 the difference will be 14

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How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

3 0
3 years ago
I need to know which one is wrong
Svetllana [295]
The incorrect answer is #5
-11.8+9.8= -2.0 or -2
3 0
3 years ago
220 students were asked if they liked chocolate or vanilla ice cream. 140 said they liked chocolate and 120 said they liked vani
Flura [38]

Answer: D. 40

Step-by-step explanation:

Given: Number of students liked vanilla or chocolate ice cream =n(V\cup C)=220

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Now,  Number of students liked vanilla and chocolate ice cream is given by :-

n(V\cap C)=n(C)+n(V)-n(V\cup C)\\\\\Rightarrown(V\cap C)=140+120-220\\\\\Rightarrown(V\cap C)=260-220\\\\\Rightarrown(V\cap C)=40

Number of students liked vanilla and chocolate ice cream= 40

6 0
4 years ago
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valentina_108 [34]

Answer:

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Step-by-step explanation:

it is $25 income tax every $100 earned so 25 x 6 = 150

6 0
3 years ago
You have two exponential functions. One function has the formula g(x) = 5 ^x . The other function has the formula h(x) = 5^-x .
Shkiper50 [21]
We are given with two functions here: h(x) is 5^-x and g(x) is 5^x . we are asked in the problem to determine the value of the expression (g-h)(x). In this case, we just have to employ subtraction to the given functions. That is 

(g-h)(x) = 5^x - 5^-x
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             = (5^2x -1)/5^x


 
4 0
3 years ago
Read 2 more answers
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