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3 years ago

Find the product.

Mathematics

1 answer:

Fantom [35]3 years ago

4 0

6 x 500= 6 x 5 hundreds= 30 hundreds= 3000
That’s it!

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Please help me<br> What is the area of this figure?

Ilya [14]

Answer: 74 ft^2.

Step-by-step explanation: First, you can seperate the figure into an 8x9 rectangle and a 1x2 rectangle. 8*9 = 72 and 1*2 = 2 and then you add them to get 74. The unit is ft, but we're multiplying, so it becomes ft^2. Thus, the answer is 74 ft^2.

3 0

3 years ago

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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

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

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

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

7 0

3 years ago

What is 30 percent of 38

stepladder [879]

Answer: 11.4

Simply multiply 38 by .30 to find the percentage of the number.

5 0

3 years ago

Brody found a rare, one-of-a-kind character card in his new deck. The card is valued at $24.95. Every year, the card's value inc

Mademuasel [1]

The answer is D. because after the 25 years the value increases by 66$ which makes the card valued at 90.95 once you add the original value. Thus making the card less than 100$

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4 years ago

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On a bike ride across the United States, Rodney rides 190 miles every 4 days. If he continues at this rate, how many miles can h

Gwar [14]

190÷4= 47.5
47.5 is how many miles a day Rodney is traveling
190+47.5+47.5 = 285
285 miles

8 0

4 years ago