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1 year ago

If a $350 laptop is discounted 15%, but then has 9% sales tax added, what is the total price you must pay?

Mathematics

1 answer:

grigory [225]1 year ago

5 0

Answer:

$324.28

Step-by-step explanation:

350 x .15 = 52.5

350 — 52.5 = 297.5

297.5 x .09 = 26.775

297.5 + 26. 775 = 324.275

Round up to the nearest cent.

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The perimeter of a rectangular movie screen at a local cinema is 148 feet. If the length of the screen is 30 feet longer than th

Rudiy27

The perimeter of a rectangle = 2(l + w)

l = length

w = width

In this problem,

w = x

l = x + 30

the perimeter = 148

Let's plug our values into the perimeter formula above.

148ft = 2(x + x + 30ft)

Combine like terms.

148ft = 2(2x + 30ft)

Distribute the 2

148ft = 4x + 60

Subtract 60 from both sides

88ft = 4x

Divide both sides by 4

22ft = x

The width = x = 22ft

The length = x + 30 = 22 + 30 = 52ft

8 0

3 years ago

5, 3.1.24 f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]

Aleks [24]

Given that $f(x) = 3x^2 + 5$ , we have

$f(x + 3) = 3 (x + 3)^2 + 5 \\\\= 3 (x^2 + 6x + 9) + 5 \\\\= 3x^2 + 18x + 32$

so that

$f(x+3) - (f(x) + 3) = (3x^2 + 18x + 32) - (3x^2 + 8) \\\\= \boxed{18x + 24}$

3 0

2 years ago

Evaluate the double integral ∬Ry2x2+y2dA, where R is the region that lies between the circles x2+y2=16 and x2+y2=121, by changin

olga2289 [7]

Answer:

See answer and graph below

Step-by-step explanation:

∬Ry2x2+y2dA

=∫Ry.2x.2+y.2dA

=A(2y+4Ryx)+c

=∫Ry.2x.2+y.2dA

Integral of a constant ∫pdx=px

=(2x+2.2Ryx)A

=A(2y+4Ryx)

=A(2y+4Ryx)+c

The graph of y=A(2y+4Ryx)+c assuming A=1 and c=2

8 0

3 years ago

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Lena [83]

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4 0

3 years ago

The cost of a company picnic varies directly as the number of employees attending the picnic. If a company picnic costs $487.50

Drupady [299]

The company picnic cost $ 1300 for 80 employees

Solution:

Given that cost of a company picnic varies directly as the number of employees attending the picnic

Let "c" be the company picnic cost

Let "n" be the number of employees attending the picnic

Therefore,

$cost \propto \text{ number of employees attending picnic }$

$c \propto n\\\\c = kn$

Where "k" is the constant of proportionality

c = kn ---------- eqn 1

Given that company picnic costs $487.50 for 30 employees

Therefore substitute c = 487.50 and n = 30

$487.50 = k(30)\\\\k = \frac{487.50}{30} = 16.25$

How much does a company picnic cost for 80 employees?

Substitute n = 80 and k = 16.25 in eqn 1

$c = 16.25(80) = 1300$

Thus $ 1300 is the cost for 80 employees

5 0

2 years ago