All categories

3 years ago

What is 8,414.00065 to the nearest cent

Mathematics

1 answer:

kozerog [31]3 years ago

5 0

Answer:

8414

Step-by-step explanation:

Here, "to the nearest cent" just basically is asking for "to the nearest whole number".

When rounding to the nearest whole number (i.e. without any decimal places), you must look at the tenths digit (the digit right after the decimal point).

If the tenths digit is any number 0 to 4, you round down; in other words, you keep the original whole number. For example, if we want to round 5.2, since the tenths digit is 2, we round down to 5.

If the tenths digit is any number 5 to 9, you round up. For example, if we want to round 5.7, since the tenths digit is 7, we round up to 6.

In this case, the tenths digit is 0, so we round down to 8,414.

Hope this helps! Please mark me brainliest if possible! :)

You might be interested in

<img src="https://tex.z-dn.net/?f=%285ax%5E%7B3%7D%20-6ax%5E%7B2%7D%20%29%285ax%5E%7B3%7D%20%2B6ax%5E%7B2%7D%20%29" id="TexFormu

kondaur [170]

I think this is the answer. Sorry if it’s wrong

4 0

3 years ago

The use of mathematical methods to study the spread of contagious diseases goes back at least to some work by Daniel Bernoulli i

harina [27]

Answer:

$y(t) = y_o e^{\beta t}$

$x(t) = x_o e^{\frac{-\alpha y_o }{\beta }[e^{-\beta t} - 1] }$

$\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }$

Step-by-step explanation:

From the question we are told that

$\frac{dy}{y} = -\beta dt$

Now integrating both sides

$ln y = \beta t + c$

Now taking the exponent of both sides

$y(t) = e^{\beta t + c}$

=> $y(t) = e^{\beta t} e^c$

Let $e^c = C$

$y(t) = C e^{\beta t}$

Now from the question we are told that

$y(0) = y_o$

Hence

$y(0) = y_o = Ce^{\beta * 0}$

=> $y_o = C$

$y(t) = y_o e^{\beta t}$

From the question we are told that

$\frac{dx}{dt} = -\alpha xy$

substituting for y

$\frac{dx}{dt} = - \alpha x(y_o e^{-\beta t })$

=> $\frac{dx}{x} = -\alpha y_oe^{-\beta t} dt$

Now integrating both sides

$lnx = \alpha \frac{y_o}{\beta } e^{-\beta t} + c$

Now taking the exponent of both sides

$x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} + c}$

=> $x(t) = e^{\alpha \frac{y_o}{\beta } e^{-\beta t} } e^c$

Let $e^c = A$

=> $x(t) =K e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }$

Now from the question we are told that

$x(0) = x_o$

$x(0)=x_o =K e^{\alpha \frac{y_o}{\beta } e^{-\beta * 0} }$

=> $x_o = K e^{\frac {\alpha y_o }{\beta } }$

divide both side by $(K * x_o)$

=> $K = x_o e^{\frac {\alpha y_o }{\beta } }$

$x(t) =x_o e^{\frac {-\alpha y_o }{\beta } } * e^{\alpha \frac{y_o}{\beta } e^{-\beta t} }$

=> $x(t)= x_o e^{\frac{-\alpha * y_o }{\beta} + \frac{\alpha y_o}{\beta } e^{-\beta t} }$

=> $x(t) = x_o e^{\frac{\alpha y_o }{\beta }[e^{-\beta t} - 1] }$

Generally as t tends to infinity , $e^{- \beta t}$ tends to zero

$\lim_{t \to \infty} x(t) = x_oe^{\frac{-\alpha y_o}{\beta } }$

5 0

3 years ago

A swimming pool is 25 feet wide, 20 yards long, and 7 1/2 feet deep. What is the volume of the Pool?

NNADVOKAT [17]

Just multiply all the values together but first, remember 3 YARDS = ONE FOOT
25 x 60 x 7.5 because the formula is L x W x H
The volume is 11250 feet cubed
Hope this helps!

7 0

3 years ago

Read 2 more answers

Insert parenthesis () to make the following problem true: 3+6-2x4=19

tia_tia [17]

Answer:

3+(6-2)*4=19

Step-by-step explanation:

Due to PEMDAS, it would first be required to do "6-2", which is 4.

Then, the 4 in the parenthesis is multiplied by the 4 on the outside, making 16.

Finally, 3 would be added to 16, making 19.

5 0

3 years ago

Amanda is making pillows for her sofa, The fabric that she likes costs $45 per yard. Amanda waits until

luda_lava [24]

Well 58 inches is 4 feet, so Amanda has to purchase 2 yards of fabric. So this brings her to $90. If you multiply 90 by 40%, and then subtract that number from 90, you have 54. Multipy 54 by the sales tax and then add that number to 54. So Amanda will have to pay $56.75. Hope this helps, have a nice day :)

3 0

3 years ago