According to the model, to find how many years t should take for $P(t)=21100$ we must solve the equation $0.9t^2+6t+14000=21100$ . Substracting 21100 from both sides, this equation is equivalent to $0.9t^2+6t-7100=0$ .

Using the quadratic formula, the solutions are $t_1= \frac{-6-\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=-92.21$ and $t_2=\frac{-6+\sqrt{6^2 -4*0.9*(-7100)}}{2*0.9}=85.54$ . The solution $t_1=-92.21$ can be neglected as the time t is a nonnegative number, therefore $t=t_2=85.54$ .

The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.

6 0

3 years ago

What’s is the value of n? HELP ASAP PLEASE

earnstyle [38]

Answer:

The answer should be 69°

Step-by-step explanation:

Each line is being cut by a transversal, that means that the degree on the other side of it, added with the given degree will add up to 180°

1. On the right, you need to find the interior angle where 160° is outside so you subtract 180° from 160° to find the angle inside. That gives you 20°

2. On the top left you have 131° so 180°-131°=49°

Next you add the angles you have and then subtract it from 180 to get the interior angle with n° outside.

3. 20°+49°=69°

4. 180°-69°=111°

Then you do the same thing as the beginning which would be n°+111°=180°

5. n°+111°=180°, that means n=69°

Hopefully that clears it up for you :)

7 0

3 years ago