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adell [148]
2 years ago
15

HURRY PLEASE The amount of tax for each camera is $5.25 and the tax rate is 6%. Explain how the equation: (Original Cost)(Percen

t) = Tax Amount is adjusted to solve for the original cost.
​
Mathematics
1 answer:
worty [1.4K]2 years ago
4 0

Answer:

$3.15 is the orignal price

Step-by-step explanation:

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An object is moving at a speed of 95 kilometers every 7.5 weeks. Express this speed in
Aleksandr-060686 [28]

Answer:

<h2>5,936.76 feet/day</h2>

Step-by-step explanation:

Formula to use to get the speed is expressed as speed = Distance/Time

Given parameters

Distance = 94km

Time = 7.5weeks

Since we are to express the answer in feet per day, we will convert the distance to feet and time to days.

For the distance:

Given the conversion

1 km = 3280.84 feet

95km = (95*3280.84)feet

95km = 311,679.8 feet

For the time:

If 1 week = 7 days

7.5weeks = (7.5 * 7)

7.5weeks = 52.5 days

Speed In ft/day =  311,679.8 feet/ 52.5 days

Speed in ft/day = 5,936.76 feet/day

<em>Hence the speed in feet per day is  5,936.76 feet/day</em>

3 0
2 years ago
Sketch the region of integration for the following integral. ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ
solong [7]

Answer:

The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

Step-by-step explanation:

We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    

3 0
2 years ago
Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the par
Crank

Answer:

Sebastian didn't interpret the numbers correctly (See explanation)

Step-by-step explanation:

If you go up an elevator, you are gaining floors, so the number is positive.

If you go down an elevator, you are losing floors, so the number is positive.

Looking at the statement, he went 7 floors up to his room, then 9 floors down to the parking garage this can be represented as 7 - 9, since the 7 is positive and the 9 is negative.

Sebastian described the movement as 9 + -7, which is wrong - 9 should be -9 and -7 should be 7.

Hope this helped!

3 0
2 years ago
Read 2 more answers
Charlie bought a pair of shorts at the store when they were having a 45% off sale. If the regular price of the pair of shorts wa
spayn [35]

Answer:

$13.20

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Toby's Tiny Toys have fixed expenses of $53,900 for the production of their tiny toys. Toby's has a variable expense of $12.50 a
ipn [44]

The total cost of the factory will be the sum of its variable costs and it's fixed costs. The factory has fixed costs of $53,900 and variable costs of $12.50 per unit produced. Let x be the number of toy's produced by this Toby's Tiny Toys, then the total variable costs will be 12.50x. From this information we can gather that the cost function for this factory is,

C(x)=53\,900+12.50x.

On the other hand, if we let x be the number of toys sold, we can gather that at the selling price of 16.50, the revenue function will be ,

R(x)=16.50x.

Toby's Tiny Toys will reach their break even point when the total costs are equal to the total revenue. At this break even point ,we have that

R(x)=C(x)\\\implies 16.50x=12.50x+53\,900\\\implies 16.50x-12.50x=53\,900\\\implies 4x=53\,900\\\implies x=\frac{53\,900}{4} \\\implies x=134\,750.

The company has to sell 134 750 units to break even.

6 0
2 years ago
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