An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest
2 answers:
Answer:
A= 24.4 grams
Step-by-step explanation:
An element with mass 730 grams decays by 28.8% per minute
For exponential decay we use formula
Where P is the initial amount of element present
A is the amount remaining
r is the decay rate
and t is the time period in minutes
P= 730 grams, r= 28.8%= 28.8/100= 0.288, t= 10 minutes
A=24.44122
Round to nearest tenth
So A= 24.4 grams
You might be interested in
Answer:
The area of the polynomial is 35 square unit.
Step-by-step explanation:
It is given that area of the polygon WXYZ with its vertices at W(–3, –2), X(–3, 5), Y(2, 5), and Z(2, –2).
From the below graph it is noticed that the given polynomial is a rectangle with length 5 and width 7.
The distance formula
Using the above formula we get,
The length of opposing sides are equal.
Using the Pythagoras theorem, the length of diagonal WY and XZ are
Since the length of the diagonal are same, therefore the given polygon is a rectangle.
The area of a rectangle is
Where l is length and w is width.
The area of given polynomial is
Therefore the area of the polynomial is 35 square unit.
We have to write an equation that uses this info so we can find the cost to ship that package. However, the package weight is given to us in grams and we need it in ounces. So first thing we are going to do is convert that 224 g to ounces. Use the fact that 1 g = .035274 ounces to convert. . Do the multiplication and cancel out the label of grams and we have 7.901376 ounces. Ok. We know that it costs .57 to mail the package for the first ounce. We have almost 8 ounces. So no matter what, we are paying .57. For each additional ounce we are paying .32. The number of .32's we have to spend depends upon how much the package goes over the first ounce. For the first ounce we pay .57, then for the remaining 6.901376 ounces we pay .32 per ounce. Our equation looks like this: C(x) = .32(6.901376) + .57 and we need to solve for the cost, C(x). Doing the multiplication we find that it would cost $2.78 to ship that package.