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2 years ago

The regular price of a sweater is $42.99. It is on sale for 20% off. Find the amount of discount and the sale price

Mathematics

2 answers:

elena-14-01-66 [18.8K]2 years ago

7 0

Answer:

34.392, 20%= 8.598

Step-by-step explanation:

Alchen [17]2 years ago

7 0

Answer:

it would be $20.99

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

3 years ago

Mr Taylor brought back 180 Euros to the UK. The exchange rate was €1.2 to £1. How much did he get in £ sterling?

Firdavs [7]

You need to divide 180 by 1.2

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2 years ago

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On a map, the length of a nature trail is 7.2 centimeters. If the scale is 1 centimeter to 25 kilometers, what is the actual len

Lisa [10]

A:b=c:d
7.2:x=1:25. If u see two ratios equal each other, the product of a and d is equal to the product of b and c. This means that (7.2 times 25) is equal to x. This equals 180=x. The actual distance of the trail of 180 km. Hope this helps!

7 0

2 years ago

Answer quick for brainliest!

Step2247 [10]

Answer:

C (1,1) is another point on the line

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2 years ago

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Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?

Anna11 [10]

300 milliliters in each container because 2.1 liters is 2100 milliliters and 2100/7 is 300

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2 years ago