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jekas [21]
3 years ago
14

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit.
y=-x^2+73x-520
y=−x
2
+73x−520
Mathematics
1 answer:
Delvig [45]3 years ago
4 0

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

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Maria deposited $5,700 in an account that earns 8% simple interest. Maria made no withdrawals or deposits. What will be the tota
denpristay [2]

Answer:

The total amount of money in Maria's account after 6 years is $8436

Step-by-step explanation:

Given;

principal amount , P = $5,700

interest rate, r = 8 % = 0.08

time of investment, t = 6 years

The interest on the invested money after 6 years is given by;

I = Prt

I = $5,700 x 0.08 x 6

I = $2736

Total amount in Maria's account is given by;

A = P + I

A = $5,700 + $2736

A = $8436

Therefore, the total amount of money in Maria's account after 6 years is $8436

3 0
2 years ago
You invested $1,200 in a mutual fund. Your account now has a value of $1,333. what was your gain?
OleMash [197]
You have invested 1200 dollars in your mutual fund and now gained 1333 dollars. First let's solve how much money added to your investment.
=> 1333 - 1200 = 133 dollars was added to your account
=> 133 / 1200 = 0.11 
Next, lets convert this to decimal value.
=> 0.11 * 100% = 11% was added to you investment.
7 0
3 years ago
Read 2 more answers
Please help me!..............
Anna007 [38]
The answer is D I took the test already
6 0
3 years ago
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In isosceles right triangle ABC, point is on hypotenuse \overline{BC} such that \overline{AD} is an altitude of \triangle ABC an
Dmitriy789 [7]

Answer:

Area of triangle is 25.

Step-by-step explanation:

We have been given an isosceles right triangle

Isosceles triangle is the triangle having two sides equal.

Figure is shown in attachment

By Pythagoras theorem

BC^2=AC^2+AB^2

AD is altitude which divides the triangle into two parts

DC=5 implies BC =10 since D equally divides BC

Let AC=a implies AB=a being Isosceles

On substituting the values in the Pythagoras theorem:

10^2=a^2+a^2

100=2a^2

\Rightarrow a^2=50

\Rightarrow a=\pm5\sqrt{2}

WE can find area of right triangle by considering height AB and AD

Area of triangle ABC is:

\frac{1}{2}\cdot BC\cdot AD     (1)

\Rightarrow \frac{1}{2}\cdot 10\cdot AD

And other method of area of triangle is:

\frac{1}{2}\cdot AB\cdot BC       (2)

Equating (1) and (2) we get:

\frac{1}{2}\cdot 10\cdot AD=\frac{1}{2}\cdot a\cdot a

\Rightarrow AD=\frac{a^2}{10}

\Rightarrow AD=\frac{50}{10}=5

Using area of triangle is: \frac{1}{2}\cdot BC\cdot AD

Now, the area of triangle ABC=\frac{1}{2}\cdot 5\cdot 10

\Rightarrow 25



4 0
3 years ago
Y=-4x-3 if the slope was changed to -.50,and the y intercept remained the same?​
yanalaym [24]
The new slope would now be 2 so y=2x-3
3 0
3 years ago
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