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3 years ago

4. A person borrows money from a friend and they decide

Mathematics

1 answer:

dybincka [34]3 years ago

5 0

9514 1404 393

Answer:

$3,840

Step-by-step explanation:

The interest formula can be rearranged to find the principal amount.

I = Prt

P = I/(rt) = $768/(.04·5)

P = $3,840

They originally borrowed $3,840.

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What is 9.65+0.4, 16.058- 1.2

gogolik [260]

Answer:

Step-by-step explanation:

9.65+0.4=10.05

16.058-1.2=14.858

4 0

1 year ago

Amy and Stephanie were playing a number game. Amy picked a number and told Stephanie that if she added 9 to the number and multi

faust18 [17]

Answer:

4 (x + 7) = 8

Step-by-step explanation:

4 (x + 7) = 8 Because you add 7 to Amy's number then multiplied by 4 which equals 8

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3 years ago

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

Should i do my teast for 12th grade calculus

Salsk061 [2.6K]

Answer:

attempt it, if it's too hard, sleep

that's what I would do lol

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help I really need help

katrin2010 [14]

Answer:

5 5/6 + 55x/24

Step-by-step explanation:

6 0

3 years ago