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3 years ago

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?

Mathematics

1 answer:

yaroslaw [1]3 years ago

6 0

Answer: 51

Step-by-step explanation:

17% of 300 is 51

300 x .17 =51.

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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

4 years ago

Sweets cost 6p how much would 43 sweets cost?

SCORPION-xisa [38]

The answer is 258 pennies

7 0

3 years ago

Can somebody help me please

serious [3.7K]

Answer: y-int ( 0, 0.4 ) x-int ( 0.3, 0 )

Step-by-step explanation:

Given in the graph

X axis and Y axis.

5 0

3 years ago

Read 2 more answers

I need help with 5 and 6

8_murik_8 [283]

Answer:

w = 6

RS = 13

Step-by-step explanation:

RS + ST = RT

(2w + 1) + (w - 1) = 18

3w = 18

; w = 6

Hence the value of RS = 2(6) + 1

; RS = 13

AC = AB + BC

56 = (x + 16) + (5x + 10)

56 = 6x + 26....then rearrange the equation to form...;

56 - 26 = 6x

30 = 6x...

where...; x = 5

AB = 5 + 16 and BC = 5(5) + 10

;AB = 21 ;BC = 35

7 0

4 years ago

Please help me understand

Svetach [21]

Answer/Step-by-step explanation:

The problem replaces the x with the appropriate input. It is asking for you to find the correct output (y). Looking at the graph, when the point hits -1 on the x value, the value for y is 3. So, the correct output is 3.

3 0

3 years ago

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?​

If 17% of gummy bears are red then how many red gummy bears will be red out of 300?