What is the length of side AC as shown on the coordinate plane?<br> ТУ

The manufacturer of a CD player has found that the revenue R (in dollars) is Upper R (p )equals negative 5 p squared plus 1 com

AleksAgata [21]

Answer:

The maximum revenue is $1,20,125 that occurs when the unit price is $155.

Step-by-step explanation:

The revenue function is given as:

$R(p) = -5p^2 + 1550p$

where p is unit price in dollars.

First, we differentiate R(p) with respect to p, to get,

$\dfrac{d(R(p))}{dp} = \dfrac{d(-5p^2 + 1550p)}{dp} = -10p + 1550$

Equating the first derivative to zero, we get,

$\dfrac{d(R(p))}{dp} = 0\\\\-10p + 1550 = 0\\\\p = \dfrac{-1550}{-10} = 155$

Again differentiation R(p), with respect to p, we get,

$\dfrac{d^2(R(p))}{dp^2} = -10$

At p = 155

$\dfrac{d^2(R(p))}{dp^2} < 0$

Thus by double derivative test, maxima occurs at p = 155 for R(p).

Thus, maximum revenue occurs when p = $155.

Maximum revenue

$R(155) = -5(155)^2 + 1550(155) = 120125$

Thus, maximum revenue is $120125 that occurs when the unit price is $155.

6 0

4 years ago

The ending bank statement balance at November 30 is $7,070. The bank statement shows a service charge of $95, electronic funds

maks197457 [2]

Answer:

The adjusted book balance at November 30 is $7285.

Step-by-step explanation:

The Adjusted book balance at November 30 =

Ending bank statement balance + Deposits in transit - outstanding checks

7,070+2,050-1,835 = 7285

8 0

3 years ago

What are the quotient and remainder when a) 19 is divided by 7? b) −111 is divided by 11? c) 789 is divided by 23? d) 1001 is di

Dennis_Churaev [7]

Answer:

a) quotient = 2, remainder = 5

b) quotient = -10, remainder = -1

c) quotient = 34, remainder = 7

d) quotient = 77, remainder = 0

e) quotient = 0, remainder = 0

f) quotient = 0, remainder = 3

g) quotient = 0, remainder = -1

h) quotient = 4, remainder = 0

Step-by-step explanation:

The relationship between the quotient, remainder and divisor is that the product of the quotient and divisor added to the reminder gives the dividend.

Based on this, when

a)19 is divided by 7 = 19/7

= 2 $\frac{5}{7}$

Hence the quotient is 2, the remainder is 5

Applying the same principle, when

b) −111 is divided by 11

= -10 $\frac{1}{11}$

Hence the quotient is -10, the remainder is -1

c) 789 is divided by 23

=34 $\frac{7}{23}$

Hence the quotient is 34, the remainder is 7

d) 1001 is divided by 13

= 77

Hence the quotient = 77, the remainder is 0

e) 0/19 = 0

Hence the quotient is 0, the remainder is 0

f) 3/5

Hence the quotient is 0, the remainder is 3

g) -1/3

Hence the quotient is 0, the remainder is -1

h) 4/1

Hence the quotient is 4, the remainder is 0

3 0

3 years ago

Interpret the independent and dependent variables of these two bivariate data collections.

maw [93]

Answer:

The dependent variable = Number of homeruns

Independent variable = years played

The Independent variable is Number of characters per minute

Dependent variable is Texting speed

Step-by-step explanation:

The independent variable are the variables which are used to infer or being about changes to the dependent variable by supplying different values of them, they are also called predictor variables. By varying the number of years, a baseball players' number of homeruns' can be predicted in such basis, hence, the

predicted or dependent variable is the number of homeruns'.

Similarly, the Number of characters (independent) an individual is able to type within a particular period of time can be used determine the Texting speed (dependent) of such person.

5 0

3 years ago

Read 2 more answers

If the triangle shown is translated vertically 3 units and horizontally -4 units graph the image of the triangle

Romashka [77]

Okay so you need to write down all of your original points, for example:
<A (1,1)
<B (3,4)
<C (5,1)
so now for each of those coordinates you would subtract four from each X and add 3 to each Y. For example:
Original Cord.:                             Translated Cord.:
<A (1,1)                                       <A' (-3,4)
<B (3,4)                                       <B' (-1,6)
<C (5,1)                                       <C' (2, 4)
------------------------------------------------------------------------
So just follow my steps but with your points, then graph both the original coordinates and the translated coordinates. AND DON'T FORGET TO LABEL THE POINTS LIKE I DID WHEN GRAPHING!!!!!!!!

7 0

3 years ago

What is the length of side AC as shown on the coordinate plane? ТУ