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DaniilM [7]
3 years ago
15

Use the distributive property to expand (simplify): 4(x + 7)​

Mathematics
1 answer:
bazaltina [42]3 years ago
8 0
This is the simplest form 4x+28
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Solve for problem 13! Please! The answer could be 58,11, or 15. If u get sum different let me know!
goldfiish [28.3K]

Answer:

15

Step-by-step explanation:

Volume of a cylinder = area of the base x height.

v = [(pi)(r)^2] x height

188.4 = [(3.14)(2)(2)] x h

188.4 = 12.56h

h = 15

Please let me know if you have questions

5 0
3 years ago
Create an algebraic equation for the word problem below:
olga nikolaevna [1]

Answer:

5+d2

Step-by-step explanation:

We'll make d=day

5+d2

5 is the base price

and 2 is the number that increases by day

Please tell me if it's incorrect

Happy Holidays!

3 0
3 years ago
The Fruity Juice Company has decided to produce and sell their juice Hairy Mango T M. They are about to begin production, but ne
Komok [63]

Answer:

a) Price demand function = D = -40P + 8000

b) Revenue function = R = -40P² + 8000P

c) Price P = 100 cents and Revenue R = 4×10⁵ cents

Step-by-step explanation:

We are given quantity and price of Hairy Mango T M juice

Let P represents price in cents and D represents demand

D₁ = 5400

D₂ = 6000

P₁ = 65

P₂ = 50

(a) Find a formula for the price/demand function based on the data.

The demand and price relationship can be modeled as a linear relationship,

D = aP + b

Substitute the given data points into above equation

5400 = 65a + b     eq. 1

6000 = 50a + b     eq. 2

Solving eq. 1 and eq, 2 simultaneously,

b = 6000 - 50a

5400 = 65a + (6000 - 50a)

5400 - 6000 = 65a - 50a

-600 = 15a

a = -600/15

a = -40

b = 6000 - 50a

b = 6000 - 50(-40)

b = 6000 + 2000

b = 8000

So the price demand function becomes,

D = aP + b

D = -40P + 8000

(b) Find a formula for the revenue function.

The revenue function is given by

R = D*P

R = (-40P + 8000)*P

R = -40P² + 8000P

(c) Find the price they should charge to generate the maximum revenue, then calculate the maximum revenue. (Round to the nearest cent)

Maximum revenue is obtained when

dR/dp = 0

dR/dp = -40P² + 8000P

dR/dp = -80P + 8000

0 = -80P + 8000

80P = 8000

P = 8000/80

P = 100 cents

The maximum revenue is

R = -40(100)² + 8000(100)

R = -400000 + 800000

R = 400000 cents

R = 4×10⁵ cents

Therefore, the maximum revenue is 4×10⁵ cents when the price is set to 100 cents.

3 0
3 years ago
Solve and graph, showing your work.
Alika [10]
For the inequality y - 4 > -7, get y by itself by adding 4 to both sides. Now you have y > -3.
For the inequality y - 1 < 6, get y by itself by adding 1 to both sides. Now you have y < 7.

Graph the set y > -3 and y < 7. It should look like this:

6 0
3 years ago
What is the rate of the interest on $560 for two years is $145.60?
nlexa [21]

The rate of interest is 13%.

Step-by-step explanation:

Given,

Principal (P) = $560

Interest (I) = $145.60

Time (T) = 2 years

To find the rate of interest

Formula

If P principal was invested for T years at r% simple interest, the interest will be I = \frac{PTr}{100}

So,

Putting the values of P, I, T we get,

145.60 =  \frac{560X2Xr}{100}

or, r = \frac{145.60X100}{2X560}

or, r = 13%

Hence,

The rate of interest is 13%.

4 0
4 years ago
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