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3 years ago

George has opened a new store and he is monitoring its success closely.

1 answer:

8 0

The correct answer is that the new store will have a profit of $5400 after its fifth month.

Profit is given by subtracting revenue minus cost:
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

Using 5 for x,
(R-C)(5) = 9(5) + 9 = 45+9 = 54

This is in hundreds of dollars, so it represents $5400.

You might be interested in

An angle measuring 3.5 radians is equal to which of the angle measures given below? Check all that apply.

Tresset [83]

The answers are B & C.

First thing to d o is convert Radians to Degrees. 1 radians = 180/pi . So, 3.5 radians times 180 divided by $\pi$ = 200.5352283 or which could be rounded of to 200.54. Thus, confirming choice letter C and negating choices A and D.

Next thing to check is choice letter B. To do this, we need to convert the decimal value of the computed answer which is 0.5352283 to minutes and seconds by the following conversion factors.

1 degree = 60 mins
1 minute = 60 seconds

Now, we multiply 0.5352283 by 60 to get 32.113698 minutes, thus 32 minutes
then multiply 0.113698 by 60 to get 6.82188 ~ 7 seconds.

therefore, conversion would yield an answer 200 degrees 32 minutes and 7 seconds.

6 0

3 years ago

Ms.Rosenbaum buys 5 crates of apples at the market .Each crate cost $12.50 .She also buys one crate of pears for $18.75 .What is

Inga [223]

Ok so she wants but 5 crates of apples. And each crate cost 12.50 so you would multi 12.50 times 5, which is 62.05. She so wants to buy one crate of pears. One crate of pairs is 18.75. Since she is only buying one you don't need to multiply it but anything. But now you have to figure out the cost of the apples and pears together. So just add 62.05 and 18.75 together which is 80.80

6 0

3 years ago

This is due by 7pm i need help

Ad libitum [116K]

Answer:

bruh u need a link

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha

Mariulka [41]

Answer:

V = 63π / 200 m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

$S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx$

- The derivative of the function f'(x) is as follows:

$f'(x) = \frac{21-x}{\sqrt{42x-x^2} }$

- The square of derivative of f(x) is:

$f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }$

- Now use the surface area formula:

$S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi$

- The Volume of the pain coating is:

V = S*t

V = 210*π*3/2000

V = 63π / 200 m^3

8 0

3 years ago

Read 2 more answers

What's the perpindicular line of y+5=4(x+12)

snow_tiger [21]

The slope of this line is
−
12
5
.
Perpendicular lines have opposite reciprocal slopes. To find an opposite reciprocal, multiply by
−
1
and flip the numerator and denominator.
Hence the opposite reciprocal of
−
12
5
and the slope of a line perpendicular to a line with a slope of
−
12
5
is
5
12
.

6 0

3 years ago