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ipn
9 days ago
14

a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and

a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?
Mathematics
2 answers:
lawyer [4K]9 days ago
8 0
The customer spent $192.4 on the product.
lawyer [4K]9 days ago
6 0

Response:

Total amount paid by the customer = $192.40

Detailed breakdown:

The online price of the item = $299

Shipping and handling fee = $10

Rebate amount = $99

Credit from returning an old cell phone = $25

Thus, overall cost for the mobile phone = 299 + 10 - 99 - 25

                                                          = $185

Applying sales tax on the total = 4%

Total amount paid by the customer = 185 + 4% of 185

= 185 + 0.4 × 185

= $192.40

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Two planes A and B can each fly through still air at 550 mph. The distance from Paris to Los Angeles is 5000 miles. Wind blows f
PIT_PIT [3949]

Answer:2688.63 miles

Step-by-step explanation:

Given

The distance from Paris to Los Angeles d=5000 miles

Wind traveling at 100 mph from Los Angeles to Paris

The velocity of the plane through still air is v=550 mph

Relative velocity of Plane A is v_a=550-100 =450 mph since Plane A is heading against the wind

Relative velocity of Plane B is v_b=550+100=650 mph

Plane A departs at noon

Distance covered by Plane A in 1 hour =450\times 1=450 miles

The total separation distance between the planes is 5000-450=4550 miles

Assuming they meet after t hours

Distance covered by Plane B in that time frame =v_b\times t=650\times t

Distance traveled by Plane A in t hours is =v_a\times t=450 t

The total distance equals 4550 miles

4550=650t+450t

t=\frac{4550}{1100}

t=4.13 hr

Distance traveled by B is =650\times 4.136=2688.63 miles

thus, they meet at a point 2688.63 miles away from Los Angeles.

5 0
11 days ago
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent h
babunello [3666]

Answer:

C and D

Step-by-step explanation:

6 0
8 days ago
Read 2 more answers
A movie is 1 7/8 hours long. After 45 minutes, how much of the movie is left?
Leona [4187]
The result is 67.5 minutes or 1 hour and 8 minutes remaining!
3 0
2 days ago
A solid oblique cone with a slant length of 17 units is placed inside an empty cylinder with a congruent base of radius 8 units
PIT_PIT [3949]

Step 1

Calculate the volume of a cylinder

We understand that

the volume of a cylinder can be expressed as

V1=\pi r^{2} h

In this scenario

r=8\ units \\ h=15\ units

Insert the values

V1=\pi 8^{2} 15

V1=960\pi\ units^{3}

Step 2

Calculate the volume of a cone

We are aware that

the volume of a cone equals

V2=\frac{1}{3}\pi r^{2} h

In this example

r=8\ units \\ l=17\ units \\ h=?

Use the Pythagorean Theorem to determine the height h

h^{2} =l^{2}-r^{2}\\ h^{2} =17^{2}-8^{2}\\ h^{2}=225\\ h=15\ units

V2=\frac{1}{3}\pi 8^{2} 15\\ \\ V2=320\pi \ units^{3}

Step 3

Calculate the empty volume inside the cylinder

V1-V2=960\pi -320\pi =640\pi \ units^{3}

Thus

the final result is

the empty volume inside the cylinder is 640\pi \ units^{3}

6 0
8 days ago
Read 2 more answers
On her birthday, Sonia distributed chocolates in an orphanage. She gave 5 chocolates to each child and 20 chocolates to adults.
Svet_ta [4341]

Answer with explanation:

Total number of children = x

Total chocolates shared = y

In total, the chocolates distributed to the children equals 5 times the number of children, or 5 x.

Chocolates received by adults equal 20.

Let the number of adults be z.

Expressing this situation as an equation:

y = 5 x + 20 z

z=\frac{y-5 x}{20}

⇒Number of adults = z

       =\frac{y-5 x}{20}

3 0
8 days ago
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