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fredd [130]
3 years ago
7

Eden bought a new phone. The phone’s retail price is $199. In addition, she paid sales tax of 8% of the retail price. A few days

after the purchase, she filled out a mail-in rebate form and got back $50 from the store. How much did Eden pay for the phone after tax and the mail-in rebate?
Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0

Answer:

The price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).

Step-by-step explanation:

Given:

Retail price of the phone $199, sales tax 8% of the retail price and rebate $50.

So, for getting the price paid for phone add the retail price, sales tax and rebate.

Now, the amount of sales tax :

8% of $199

⇒\frac{8}{100}\times199

⇒0.08\times199

⇒15.92.

Sales tax is $15.92.

According to question:

199+15.92+50

=264.92.

Therefore, the price paid for the phone after tax and the mail-in rebate is $265 (an approximate value of $264.92).

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Jacob consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Jacob's body
sasho [114]

Answer: 0.87400mg of caffeine.

Step-by-step explanation:

You have

N(t)=N0(e^−rt)(1)

as a general Exponential decay equation where N0 is the amount at t=0, N(t) is the amount remaining at time t and r is the exponential decay constant. You're specifically given that after 10 hours, the decay factor is 0.2601, i.e.,

N(10)/N(0)=N0(e^−10r)/N0(e^0)= e^−10r=0.2601 . .(2)

Taking the last 2 parts of (2) to the power of 0.1t gives

e^−rt=0.2601^.1t . .(3)

This means that

N(t)=N0(e^−rt)=N0(0.2601^.1t). .(4)

Also,

N(2.56)N(1.56)=N0(0.2601.1(2.56))N0(0.2601.1(1.56))=0.2601.1(2.56−1.56)=0.2601^.1

= 0.87400mg of caffeine.

6 0
3 years ago
Find the area of each figure. round to the hundredths place when necessary
notsponge [240]

Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48m^{2}

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3 years ago
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Sonbull [250]

Answer:

nice

Step-by-step explanation:

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3 years ago
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Alexeev081 [22]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
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BigorU [14]

\bf{-8x+4\leq 36 }

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\bf{-8x\leq 36-4 }

Subtract 4 from 36 to get 32.

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\bf{x\geq \dfrac{32}{-8}  }

Divide 32 by −8 to get −4.

\bf{x\geq -4 \ \ \Rightarrow \ \ \ Answer }

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4 0
2 years ago
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