3 years ago

1/4 of 96= ? without using a fraction

Mathematics

2 answers:

Strike441 [17]3 years ago

5 0

1/4 of 96 is equal to 24.

Tasya [4]3 years ago

3 0

The answer is 24 the equation is written as 1/4*96

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

2 years ago

Draw a model to represent the problem 6/12 divided by 1/4

Sloan [31]

0.5/0.25?

Not really sure what ur asking

5 0

3 years ago

HURRY NEED HELP ASAP

poizon [28]

I=p*r*t
The answer is 1131.20

5 0

2 years ago

Read 2 more answers

Solve the system by substitution<br><br> -5x+3y=2<br> y=2x

serious [3.7K]

Answer:

(x,y)=(0,0)

Step-by-step explanation:

Simplify -5x+3y=2x

2y=2x

multiply both sides -7x+3y=0

-x+y=0

eliminiate one vaiable

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2 years ago

What expression would give the number of ways to choose a group of 7 from a group of 15?

ipn [44]

C(15, 7)
(15 * 14 * 13 * 12 * 11 * 10 * 9)/(7 * 6 * 5 * 4 * 3 * 2 * 1) = 6435 groups

3 0

3 years ago