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2 years ago

The price p in dollars and the quantity x sold of a certain product obey the demand equation -1/5x+100 (0≤ x ≤ 500)

Mathematics

2 answers:

olga nikolaevna [1]2 years ago

5 0

Answer:

See below

Step-by-step explanation:

We have:

p = -1/5x + 100 = -0.2x + 100

a) The revenue is:

R = px
R = x( -0.2x + 100)
R= -0.2x² + 100x

b) x = 200, find R:

R = -0.2(200²) + 100(200) = 12000

c) This is a quadratic function and the maximum value is obtained at vertex.

x = -100/(-0.2*2) = 250 is the required quantity

d) The max revenue is obtained when -0.2x + 100 at max:

The maximum possible is p = 100 when x = 0

butalik [34]2 years ago

5 0

Answer to your question is given in the attachment

<h2>HOPE THIS HELPS :)</h2>

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Step-by-step explanation:

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2 years ago

Gianna has a two $3,000 one year CDs at different banks. Each compounds

sertanlavr [38]

Answer:

Option D

Step-by-step explanation:

To calculate compound interest we will use the formula :

$A=P(1+\frac{r}{n})^{nt}$

Where,

A = Amount on maturity

P = Principal amount = $3000

r = rate of interest = 8.4% = 0.084

n = number of compounding period = Monthly = 12

t = time = 1 year

Now put the values in the formula.

$A=3000(1+\frac{0.08}{12})^{(12)(1)}$

= $3000(1+0.007)^{12}$

= 3000(1.007)¹²

= 3000 × 1.08731066

= 3261.93198 ≈ $3261.93

While the other bank compounds interest daily.

Therefore, n = 365

Now put the values in the formula with n = 365

$=3000(1+\frac{0.084}{365})^{(365)(1)}$

$=3000(1+0.00023014)^{365}$

$=3000(1.00023014)^{365}$

= 3000 × 1.08761958

= 3262.85874 ≈ $3262.86

Difference in the ending balance = 3262.86 - 3261.93

= $0.93

The difference in the ending balances of both CDs after one year would be $0.93.

8 0

3 years ago

The perimeter of the rectangle below is 65 inches.

dimaraw [331]

A :-) Given -
perimeter = 65 inches
Side ‘a’ = 2x
Side ‘b’ = 3 1 by 4x + 1
Solution -
Perimeter = 65
= a + b = 65
= 2x + 3 1 by 4x + 1 = 65
( 3 1 by 4 = 4 x 3 + 1 = 12 + 1 by 4
= 13 by 4 )
= 2x + 13 by 4x + 1 = 65
= 2x + 13 by 4x = 65 - 1
= 2x + 13 by 4x = 64
= 15 by 4 x = 64
= x = 64 x 4 by 15
= x = 256 by 15
= x = 17.06

.:. The value of x = 17.06.

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2 years ago