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Alja [10]
3 years ago
5

What is bigger 17qts or 4 gal

Mathematics
1 answer:
Verdich [7]3 years ago
8 0
17 quarts is bigger
4 gallons is 16 quarts
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The management of Acrosonic plans to market the ElectroStat, an electrostatic speaker system. The marketing department has deter
crimeas [40]

Answer:

(a)R(x)=-0.02x^2+610x

(b)R'(x)=-0.04x+610

(c)R'(5400)=$394

Step-by-step explanation:

Given that x is the quantity demanded and the speaker's unit price (in dollars) is p where:

p = −0.02x + 610 (0 ≤ x ≤ 20,000)

(a)Revenue function R.

Revenue = Price X Quantity Demanded

Therefore:

R(x)=xp

=x(-0.02x + 610)\\R(x)=-0.02x^2+610x

(b)Marginal revenue function R'(x)

If R(x)=-0.02x^2+610x

Then, the marginal revenue function

R'(x)=-0.04x+610

(c)We want to compute R'(5,400)

R'(5400)=-0.04(5400)+610\\R'(5400)=394

From the above, we can infer that the revenue that will be generated on the sales of the 5401st item is $394.

5 0
3 years ago
A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?
Mariana [72]

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

8 0
3 years ago
5. Lines p and q are parallel, and line w is a transversal. Which angle is not congruent to angle 1? ​
Tamiku [17]

Answer:

∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.

Step-by-step explanation:

From the picture attached,

p and q are the parallel lines and w is a transversal.

∠1 ≅ ∠3 [Vertically opposite angles]

∠1 ≅ ∠5 [Corresponding angles]

∠1 ≅ ∠7 [Alternate exterior angles]

Therefore, ∠2, ∠4, ∠6 and ∠8 are not congruent to ∠1.

3 0
3 years ago
Make t the subject of the formula in D=k/f(b+t)
PilotLPTM [1.2K]

Answer:

(k/Df)-b = t

t=(k/Df)-b

Step-by-step explanation:

D = k/f(b+t)

k/D = f(b+t)

k/Df = b+t

(k/Df)-b = t

6 0
3 years ago
Ayo helppp ill give u anthing
kicyunya [14]

Answer:

16.9 m

Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

180 - 21 - 21 = 138

The central angle is 138 deg.

The radius is 7 m.

Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

s = \dfrac{n}{360^\circ}2 \pi r

s = \dfrac{138^\circ}{360^\circ}2(3.14159)(7~m)

s = 16.9~m

4 0
3 years ago
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