Answer:
B
Step-by-step explanation:
use (y2-y1)/(x2-x1) to find the slope. So,
(-8.2--5)/(-2-0)= 1.6
And when x is 0 it shows that y=-5 which is b (the y-intercept)
so the equation is y=1.6x-5
Answer: $96.8
Step-by-step explanation:
Formular for Compounding annually :
A =P ( 1 + r/n) ^nt
Where p is the Principal given as $80
r is the rate given as 10% = 10/100 = 0.1
n is the number of times the principal was compounded, given as 1
t is the time, given as 2 years:
Slot the values into the formula:
A= $80 ( 1 + 0.1/1) ^ (1 × 2)
A= $80 ( 1 + 0.1) ^2
A= $80 ( 1.1) ^2
A= $80 (1.21)
A= $80 x 1.21
A= $96.8
96.8 is already rounded to the nearest cent.
Answer:
n >_44
Step-by-step explanation:
1/2n>_22
(times 2 on both sides)
n >_44
*** >_ is greater than or equal to sign
Answer:
The rabbit population will reach its peak after 10 years.
Step-by-step explanation:
Suppose we have a quadratic function in the following format:
![p(t) = at^{2} + bt + c](https://tex.z-dn.net/?f=p%28t%29%20%3D%20at%5E%7B2%7D%20%2B%20bt%20%2B%20c)
The vertex of the function is the point:
![(t_{v}, p(t_{v})](https://tex.z-dn.net/?f=%28t_%7Bv%7D%2C%20p%28t_%7Bv%7D%29)
In which
![t_{v} = -\frac{b}{2a}](https://tex.z-dn.net/?f=t_%7Bv%7D%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D)
If a is negative, the vertex is a peak.
In this question:
![p(t) = -4t^{2} + 80t + 1200](https://tex.z-dn.net/?f=p%28t%29%20%3D%20-4t%5E%7B2%7D%20%2B%2080t%20%2B%201200)
So
![a = -4, b = 80, c = 1200](https://tex.z-dn.net/?f=a%20%3D%20-4%2C%20b%20%3D%2080%2C%20c%20%3D%201200)
According to this quadratic function, after how many years will the rabbit population reach its peak
This is ![t_{v}](https://tex.z-dn.net/?f=t_%7Bv%7D)
![t_{v} = -\frac{b}{2a} = -\frac{80}{2*(-4)} = 10](https://tex.z-dn.net/?f=t_%7Bv%7D%20%3D%20-%5Cfrac%7Bb%7D%7B2a%7D%20%3D%20-%5Cfrac%7B80%7D%7B2%2A%28-4%29%7D%20%3D%2010)
The rabbit population will reach its peak after 10 years.
Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)
= 258 (yd2)
Hope this helps!
:)