Answer:
16%
Step-by-step explanation:
4/25 as a percent is 16 % BRAINLEIST PLEASEEEEEE
N=NOe^-kt
N=mass at time t
NO = initial mass
k= 0.1476
t= time, in days
We are asked to find the half-life, which means you want to find how long it will take for half of the substance to decay/disappear (depending on situation).
If we are looking for half-life, we can simply set N to half of NO (which we are given a value of 40grams for)
Therefore:
N = 20
NO = 40
plugging these values and the value given for k back into the equation you get:
20 = 40e^-0.1476(t)
We are looking for t, so we have to manipulate the formula to get t by itself on one side of the equation.
We can start by dividing 40 from both sides, and you get:
0.5 = e^-0.1476(t)
We have the exponential function "e".
To get rid of e, we can use natural log (ln)
if e^y=x then ln (x) = y
look back at our equation we can set
0.5 = x
-0.1476(t) = y
Rewriting it in natural log form:
ln (0.5) = -0.1476(t)
Plug in ln (0.5) on a calculator to find its value and we get:
-0.693147 = -0.1476(t)
*Note: normally, getting a negative value would suggest that we did something wrong, because you cannot have a negative value as your t (you cannot have negative days), but because there is a negative on both sides of the equation, they will cancel out in this case.
The last step is to simply divide both sides by -0.1476
therefore:
T = 4.696119
But it asks you for the answer to the nearest tenth (one place after decimal pt) so
T (half life) = 4.7 days
Hope that helps :)
Answer:
$990 per unit.
Step-by-step explanation:
The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:

We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is $1,000.
Rate of Change of C,

The Revenue is changing at a rate of $990 per unit.
Answer:
{(1, 2), (2, -3), (3, 4), (4, -5)}
Explanation:
The <u>domain</u>, or <u>x-value</u><u>,</u> isn't repeated, while it is in the other answer choices, making the others <u>non</u><u>-</u><u>f</u><u>unctions</u>.
B. 1/30
Explanation: First you find the probability of picking a yellow marble, 1/6. Then you multiply the probability of picking a blue marble, 1/5 since there are now only five marbles total. Then multiply those to see what the final probability is, 1/6*1/5=1/30.