Answer:
It will take 13.58 minutes until there are 80 grams of the element remaining
Step-by-step explanation:
An element with a mass of 990 grams decays by 16.9% per minute.
We are supposed to find how long will it be until there are 80 grams of the element remaining
Formula :
N(t)=Amount after t minutes
=Initial amount
r = rate of decrease = 0.169
t = time in minutes
Substitute the values in the formula :
t=13.58
Hence It will take 13.58 minutes until there are 80 grams of the element remaining
Answer: (8,1)
Step-by-step explanation:
The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b
b = 3 2/3
The equation for the line is y = -(1/3)x + 3 2/3
The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1
The point is (8,1)
Answer:
53760
Step-by-step explanation:
12000 x 2 = 24000
24000 x .20 = 4800 this is the amount he gave to each of his sons
4800 x 3 = 14400 this is the amount he gave to his sons in total
24000 + 14400 = 38400
38400 x .40 = 15360 this is how much he gave to his wife
15360 + 38400 = 53760
Answer:
$900.10
Step-by-step explanation:
15 percent of 999.99 = $849.15
(999 x 15)/100 = $149.85
849.15 with 6 percent sales tax is 900.10
