What is the solution to ?

Mathematics

1 answer:

grandymaker [24]3 years ago

5 0

The solution is....................

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11 / 16 = p + 4 / 12

butalik [34]

Answer:

p = 17/48 or 0.354

Step-by-step explanation:

11/16 = p + 4/12

subtract 4/12 from both sides

11/16 - 4/12 = p

convert so you have a common denominator

3(11/16) - 4(4/12)

33/48 - 16/48

= 17/48

p = 0.354

8 0

3 years ago

Please help!!! I will give Brainliest!!!! :_D<br><br><br> Write an equation for each situation!

dolphi86 [110]

Just remember that 100% = 1.00 !

y = .78x

y = 108.5x

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3 0

2 years ago

A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$