Answer:
C
Step-by-step explanation:
Because the gradient is -3 and the y intercept is -3. Therefore -3x-3 is the answer.
Hi there!
In order to solve, we'll need to use the trigonometry function tangent, which is opposite/adjacent.
The side opposite the angle is h, our height.
The side adjacent the angle is 41.
The equation is:
tan(58) = h/41
After multiplying both sides by the tangent of 58, you get that the height is 66m.
Answer:
<u>About 8.5 mins</u>
Step-by-step explanation:
This is a compound decay problem, which goes by the formula:
![F=P(1-r)^t](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et)
Where
F is the future amount (we want it to be 380)
P is the present amount (980 now)
r is the rate of decay per minute (10.5% = 10.5/100 = 0.105)
t is the time it takes (what we want to find)
Substituting, we get our answer to be:
![F=P(1-r)^t\\380=980(1-0.105)^t\\380=980(0.895)^t\\0.3878=0.895^t\\Ln(0.3878)=Ln(0.895^t)\\Ln(0.3878)=t*Ln(0.895)\\t=\frac{Ln(0.3878)}{Ln(0.895)}\\t=8.54](https://tex.z-dn.net/?f=F%3DP%281-r%29%5Et%5C%5C380%3D980%281-0.105%29%5Et%5C%5C380%3D980%280.895%29%5Et%5C%5C0.3878%3D0.895%5Et%5C%5CLn%280.3878%29%3DLn%280.895%5Et%29%5C%5CLn%280.3878%29%3Dt%2ALn%280.895%29%5C%5Ct%3D%5Cfrac%7BLn%280.3878%29%7D%7BLn%280.895%29%7D%5C%5Ct%3D8.54)
SO, it is going to take about 8.54 mins, rounded to nearest tenth (1 decimal), we have:
<u>About 8.5 mins</u>
<span> When you want the x </span>intercepts<span> (x,0):. Set y=0 then solve for x</span>