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PIT_PIT [208]
3 years ago
9

A pair of shoes costs $89.99. They are on sale for 30% off. The store charges a 6.5% sales tax. What is the final cost? Round to

the nearest cent.
Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

<h2>$76.09</h2>

Step-by-step explanation:

30% off → 100% - 30% = 70%

p\%=\dfrac{p}{100}\to70\%=\dfrac{70}{100}=0.7

70% of $89.99 → 0.7 · $89.99 = $62.993

slaes tax = 6.5%

6.5\%=\dfrac{6.5}{100}=0.065

6.5% of $62.993 → 0.065 · $62.993 = $4.094545

The final cost:

$62.993 + $4.094545 = $76.087545 ≈ $76.09

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)
Leno4ka [110]

Answer:

10 in

Step-by-step explanation:

8 0
3 years ago
A car travels down a highway at 25 m/s. An observer stands 150 m from the highway.
makvit [3.9K]
Let x be the distance (in feet) along the road that the car has traveled and h be the distance (in feet) between the car and the observer.

(a) Before the car passes the observer, we have dh/dt < 0; after it passes, we have dh/dt > 0. So at the instant it passes the observer we have dh/dt = 0, given that dh/dt varies continuously since the car travels at a constant velocity.
8 0
3 years ago
It has been said that newspapers are disappearing, replaced by various electronic media. In 2004, newspaper circulation (the num
shutvik [7]

Answer:

A. y=-1.2x+59

B. 42.2 million

Step-by-step explanation:

Part A:

Given:

Newspapers circulated in year 2004, y_{1}=59\textrm{ million}

Newspapers circulated in year 2014, y_{2}=47\textrm{ million}

Let the time x start at the year 2004. So, x_{1}=0

For the year 2014, x_{2}=2014-2004=10

Therefore, linear relationship between newspapers circulated and time passed since 2004 is given as:

y-y_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}(x-x_{1})\\y-59=\frac{47-59}{10-0}(x-0)\\y-59=-\frac{12}{10}x\\y=-1.2x+59

Therefore, the equation describing the relationship is: y=-1.2x+59

Part B:

For the year 2018, x=2018-2004=14

Plug in 14 for x in the above equation and solve for y. This gives,

y=-1.2(14)+59\\y=-16.8+59\\y=42.2

Therefore, in the year 2018, the newspaper circulation will be 42.2 million.

8 0
3 years ago
What’s the answer pleazzzzz helplllllll 9m^2-4m-6 by 3m
dlinn [17]

Answer

D. 3m - 4/3 -2/m


<u>Explanation</u>

(9m²-4m-6) ÷ 3m  = 9m²/3m - 4m/3m - 6/3m

Carry out the division, each term is divided by 3m.

9m²/3m = 3m

- 4m/3m = -4/3

- 6/3m = - 2/m

Finally you will get,

<em>3m - 4/3 -2/m</em>

5 0
3 years ago
I will give you 100 points HELp
Naddika [18.5K]

Answer:

CD ≈ 26.0 cm

Step-by-step explanation:

using the sine ratio in right triangle ABD

sin35° = \frac{opposite}{hypotenuse} = \frac{AB}{BD} = \frac{12}{BD} ( multiply both sides by BD )

BD × sin35° = 12 ( divide both sides by sin35° )

BD = \frac{12}{sin35} ≈ 20.92 cm

using the sine rule in Δ BCD

\frac{BD}{sinC} = \frac{CD}{sinB} , that is

\frac{20.92}{sin52} = \frac{CD}{sin102} ( cross- multiply )

CD × sin52° = 20.92 × sin102° ( divide both sides by sin52° )

CD = \frac{20.92sin102}{sin52} ≈ 26.0 cm ( to 3 significant figures )

6 0
2 years ago
Read 2 more answers
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