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2 years ago

PLEASE HELP ASAP THANK YOU!!

Mathematics

1 answer:

Stells [14]2 years ago

3 0

Answer:

Second graph

Step-by-step explanation:

See attached image.

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Help me please desperate!!!

valentina_108 [34]

Answer:

Hope this helps and it is correct!

So, the percent it grew each year (assuming it grew a consatnt amount each year) is 17.4/13

why?

13/13 = 1 year. so we do 17.4/13 to see how much it grew eahc year..

so the answer rounded off 3 decimal places is 1.338

Step-by-step explanation:

3 0

3 years ago

A town has a population of 10000 and grows at 5% every year. What will be the population after 5 years, to the nearest whole num

lord [1]

12500 people the only reason it would be a decimal is it was .524 % of 10000

5 0

3 years ago

Use separation of variables to solve dy dx − tan x = y2 tan x with y(0) = √3. Find the value of c in radians, not degrees

a_sh-v [17]

Answer:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

Step-by-step explanation:

Rewrite the equation as:

$\frac{dy(x)}{dx}-tan(x)=y(x)^{2} *tan(x)$

Isolating $\frac{dy}{dx}$

$\frac{dy}{dx} =tan(x)+tan(x)*y^{2}$

Factor:

$\frac{dy}{dx} =tan(x)*(1+y^{2} )$

Dividing both sides by $(1+y^{2} )$ and multiplying them by $dx$

$\frac{dy}{1+y^{2} } =tan(x)dx$

Integrate both sides:

$\int\ \frac{dy}{1+y^{2} } = \int\ tan(x) dx$

Evaluate the integrals:

$arctan(y)=-log(cos(x))+C_1$

Solving for y:

$y(x)=tan(-log(cos(x))+C_1)$

Evaluating the initial condition:

$y(0)=\sqrt{3} =tan(-log(cos(0))+C_1)=tan(-log(1)+C_1)=tan(0+C_1)$

$\sqrt{3} =tan(C_1)\\arctan(\sqrt{3} )=C_1\\60=C_1$

Converting 60 degrees to radians:

$60degrees*\frac{\pi }{180degrees} =\frac{\pi }{3}$

Replacing $C_1$ in the diferential equation solution:

$y(x)=tan(-log(cos(x))+\frac{\pi }{3} )$

3 0

3 years ago

According to the rule of 72, if Gina invests $100, $500, and $1000 into three separate accounts with the same interest rate, whi

Makovka662 [10]

Let's say the APR is 5%. That means you get 5% of your balance back every year. The $100 balance would get $5 back, the $500 balance would get $25 back, and the $1000 balance would get $50 back. Therefore, all of the balances would take the same amount of time to double, and it would take all of them 20 years.

$5*20 years=$100
$25*20 years=$500
$50*20 years=$1000

7 0

4 years ago

An international phone call costs $12.61 for 32 minutes minutes. How many cents per minute?

lilavasa [31]

32/12.61=2.537668517

8 0

3 years ago

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