F=ar^t if the half-life is 96 years...
.5=r^96
ln(.5)=96lnr
ln(.5)/96=lnr
r=e^((ln.5)/96)
f=800e^(336(ln.5)/96)
f=70.71
So about 71mg will remain after 336 years.
Answer:
5995 hugs
Step-by-step explanation:
This is a combination problem: we want to make groups of two monkeys, where a pair of monkey 1 and 2 is the same pair of monkey 2 and 1 (it is the same hug). So, if the total number of monkeys at the zoo is 110, we have a combination of 110 choose 2:
C(110,2) = 110! / (2! * (110-2)!) = 110 * 109 / 2 = 5995
So the total number of hugs is 5995
Answer: $59313.58
Step-by-step explanation:
Formula to find the accumulated amount of the annuity is given by :-

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.
Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06
Now substitute all these value in the formula , we get

⇒ 
⇒ 
⇒ 
⇒ ![FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}](https://tex.z-dn.net/?f=FV%3D59313.5772407%5Capprox59313.58%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20cent%5D%7D)
Hence, the accumulated amount of the annuity= $59313.58
The first choice is correct.
in the first function f(x)=3x-2, the smallest value is when x=-1, y=-5, the largest value is when x=0, y=-2, but it doesn't include -2 because there is no = sign.
in the second function, the smallest value of y is when x=0, y=3, the largest value is y=13, but it doesn't include y=13
Answer:
Use 1/2 cup butter
Step-by-step explanation:
.75 × .66 = .495