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4 years ago

including a 8% sales tax an inn charges $140.40 per night find the inns nightly cost before tax is added

Mathematics

1 answer:

Temka [501]4 years ago

8 0

Answer:

129.168

Step-by-step explanation:

multiply- 140.40*0.08=11.232

subtract- 140.40-11.232= 129.168

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Which shows the expression below simplified? 0.00048 - (3.4 × 10-5) A. 4.46 × 10-4 B. 3.39952 × 10-5 C. 4.46 × 10-5 D. 1.4 × 10-

MakcuM [25]

Option C

The simplified form of given expression is $4.46 \times 10^{-4}$

Solution:

Given that we have to simplify the expression shown below

$0.00048 - (3.4 \times 10^{-5})$

Let us first convert 0.00048 to scientific notation

Steps to follow:

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

$0.00048 = 4.8 \times 10^{-4}$

So the given expression becomes,

$\rightarrow 4.8 \times 10^{-4} - 3.4 \times 10^{-5}$

Let us make the exponent of second term as -4

$\rightarrow 4.8 \times 10^{-4} - 0.34 \times 10^{-4}$

Take $10^{-4}$ as common term,

$\rightarrow 10^{-4} (4.8 - 0.34)$

$\rightarrow 4.46 \times 10^{-4}$

Thus option C is correct

7 0

3 years ago

When you cough,the radius of your trachea (windpipe) decreases,affecting the speed S of the air in the trachea. If r0 is the nor

elixir [45]

Answer: 2r(0)/3.

Step-by-step explanation:

So, we are given one Important data or o or parameter in the question above and that is the function of the form which is given below(that is);

S(r) = (r0 - r) ar^2 -----------------------------(1).

We will now have to differentiate S(r) with respect to r, so, check below for the differentiation:

dS/dr = 2ar (r0 - r ) + ar^2 (-1 ) ---------;(2).

dS/dr = 2ar(r0) - 2ar^2 - ar^2.

dS/dr = - 3ar^2 + 2ar(r0) ------------------(3).

Note that dS/dr = 0.

Hence, - 3ar^2 + 2ar(r0) = 0.

Making ra the subject of the formula we have;

ra[ - 3r + 2r(0) ] = 0. -------------------------(4).

Hence, r = 0 and r = 2r(0) / 3.

If we take the second derivative of S(r) too, we will have;

d^2S/dr = -6ar + 2ar(0). -------------------(5).

+ 2ar(0) > 0 for r = 0; and r = 2r(0)/3 which is the greatest.

6 0

3 years ago

Read 2 more answers

1/2(5-2h)=h/2 solve the following linear equation

Kitty [74]

Steps 1/2(5-2h) times 2=h/2 times 2

Simplify 5-2h=h

Subtract 5 from both sides 5-2h-5=h-5

Simplify -2h=h-5

Subtract h from both sides -2h-h=h-5-h

Simplify-3h=-5

Divide both sides by -3 -3h/-3= -5/-3

simplify h=5/3 so that is your answer.

Hope this helps

6 0

3 years ago

it's asking to write an equation in slope-intercept form for the line with slope -4 and y-intercept 7. then graph the line. plea

LuckyWell [14K]

Answer:

Equation = y = -4x+7

See the graph below

Step-by-step explanation:

The equation of the line in slope intercept form is expressed as;

y = mx+c

Given

slope m = -4

y-intercept c = 7

Substitute

y = -4x + 7

Get the x intercept.

at y = 0

0 = -4x + 7

4x = 7

x = 7/4

x = 1.75

The x coordinate (1.75, 0)

Get the y intercept

at x = 0;

y = -4(0)+7

y = 0+7

y = 7

The y coordinate is (0, 7)

5 0

3 years ago

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPP

Arlecino [84]

Answer: 9 ft

Step-by-step explanation:

24 / (8/3)=9

5 0

3 years ago

Read 2 more answers