We have been given that you invest $850 into a stock market fund, which grows at a rate of approximately 4% each year. We are asked to write an equation that can be used to calculate the amount of money in the fund after x years.
We will use exponential growth formula to solve our given problem.
An exponential function is in form
, where,
y = Final amount,
a = Initial amount,
r = Growth rate in decimal form,
x = Time.
Let us convert 4% into decimal.
.
We have
and
, so our equation would be:
![y=850\cdot (1+0.04)^x](https://tex.z-dn.net/?f=y%3D850%5Ccdot%20%281%2B0.04%29%5Ex)
![y=850\cdot (1.04)^x](https://tex.z-dn.net/?f=y%3D850%5Ccdot%20%281.04%29%5Ex)
Therefore, the equation
can be used to calculate the amount of money in the fund after x years.
Your answer will be graphed as a parabola and the y intercept is (0,3) and the other coordinate would be (1,2) the parabola is a minimum
Answer:
7x +2y =24 --------- (i)
8x +2y= 30 ---------(ii)
Subtracting eqn. (i) & (ii)
7x +2y =24
8x +2y= 30
- - -
___________
-x = - 6
Putting the value of x in eqn. (i)
7*6 +2y =24
42 +2y =24
2y =-18
y = - 9
Hence, x=6 and y= - 9
Hope it helps!!
Answer:
![\frac{ - 1}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%201%7D%7B2%7D%20)
<h2>Hope this helps you !! </h2>
Answer:
3 strain would still alive after 48 hours
Step-by-step explanation:
Initial population of virus = 40000 grams
A certain virus is dying off at a rate of 18% per hour.
We are supposed to find how much of the strain would still be alive after 48 hours
Formula : ![N(t)=N_0(1-r)^t](https://tex.z-dn.net/?f=N%28t%29%3DN_0%281-r%29%5Et)
=Initial population
N(t)= Population after t hours
r = rate of decrease = 18% = 0.18
t = time = 48 hours
So,the strain would still be alive after 48 hours=![40000(1-0.18)^{48}=2.91 \sim 3](https://tex.z-dn.net/?f=40000%281-0.18%29%5E%7B48%7D%3D2.91%20%5Csim%203)
Hence 3 strain would still alive after 48 hours