jose purchased a pair of shoes for $55 , new york has a sales tax of 6%. How much is the final price with tax ?

A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d

zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75 $x^{2}$

=1980 + 7.5x -3.75 $x^{2}$

=1980-3.75 (-2x+ $x^{2}$ ) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+ $x^{2}$ )

=1980 +3.75 -3.75( $x^{2}$ -2x +1)

=1983.75 -3.75 $(x-1)^{2}$ ---->(1)

as $(x-1)^{2}$ is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of $(x-1)^{2}$ = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0

3 years ago

Talib is trying to find the inverse of the function to the right. His work appears beneath it. Is his work correct? Explain your

NikAS [45]

Answer:

Talib is correct i think

Step-by-step explanation:

6 0

2 years ago

I also need help with this one, simplifying this radical expression. This ones weird.

Darya [45]

Answer:

1

Step-by-step explanation:

Factorise numerators/ denominators where possible

3x² - 4x + 1 = (x - 1)(3x - 1)

x² - 1 ← is a difference of squares and factors as

x² - 1 = (x - 1)(x + 1)

Expressing the product in factored form

$\frac{(x-1)(3x-1)}{(x-1)(x+1)}$ × $\frac{x+1}{3x-1}$

Cancel common factors on numerator/denominator, that is

Cancel (x - 1) , (x + 1) and (3x - 1), leaving the simplified form 1

7 0

3 years ago

Read 2 more answers

A water hose used one -eighth of a gallon of water and every second.If Halsey need to fill up 7 gallons sized containers, how ma

Katarina [22]

Answer:

It will take 56 seconds

Step-by-step explanation:

A water hose used one -eighth of a gallon of water and every second. This means that the flow rate is

1/8 gallon per second.

If Halsey need to fill up 7 gallons sized containers, let x represent the number of seconds that it will take Halsey to fill up 7 gallons. Therefore,

1/8 gallons = 1 second

7 gallons = x seconds.

Cross multiplying,

1/ 8 × x = 7 × 1

x/8 = 7

x = 8 ×7 = 56 seconds

6 0

3 years ago

Read 2 more answers

The cost of a charter flight to Miami is $230 each for 75 passengers, with a refund of $5 per passenger for each passenger in

Arturiano [62]

Answer: 67

Step-by-step explanation:

Let x = number of passengers.

Case M: x< =75 (no refund)

Cost per passenger = $230

To generate the revenue, we should satisfy

230x =15990

x = 69.5

Set x = 67 in order to generate the revenue.

Case N: x>75

Cost per passenger minus refund = 230 - 5 = $225

Therefore

225x = 15990

x = 71.1

Because x<75, ignore this answer.

More than 75 passengers will generate more than $15990.

5 0

3 years ago