Answer:
Answer: Original price = $150 Amount Paid = $90
Step-by-step explanation:
First we make a proportion 60/x = 40/100. When we cross multiply and divided to get x by itself we get $150 dollars. This is the original price of the dress. Now we take $150-$60 and we get $90. This is what Victoria paid for the dress after the 40% discount.
Hope this helps! :)
Answer: The function is M(t) = 40mg*0.992^t
Step-by-step explanation:
Half life refers to the time that a given quantity to reduce to half its initial value.
This is usually a exponential decay, so we want a function of the form:
M(t) = A*r^(*t)
Were t is time, in this case, t is the number of days
A is the initial value
r is the rate of decrease, we will find that for exponential decays r must be a number between 0 and 1. If r is closer to 0, we will have a fast exponential decay, if r is closer to 1 we will have a slower exponential decay.
We have that the initial mass is 40mg, this is at t = 0.
M(0) = A*r^(0) = A = 40mg
So now we have the value of A.
Now, we know that in t = 84, the mass of the substance will be half its initial value, so it will be:
A/2 = 40mg/2 = 20mg
this means that:
M(84) = 40mg*r^(84) = 20mg
r^(84) = 20mg/40mg = 1/2
![r = \sqrt[84]{1/2}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B84%5D%7B1%2F2%7D)
= 0.992
Then the equation is:
M(t) = 40mg*0.992^t
Answer:
For 25, the answer is C
Step-by-step explanation:
How I got the answer for 25 is:
To find the mean absolute deviation of the data, start by finding the mean of the data set.
How you do this is first you need to find the sum of the data values, (add all the numbers together) and divide the sum by the number of data values.(and divide that number by how many numbers you added together in the first place)
In this case, we'd be adding 44 + 39 + 47 + 38 + 38 + 41 + 40, and that equals 287. Now we'll divide 287 by how many numbers we added together, which is 7 numbers. 287 ÷ 7 = 41. That's the mean of the data set.
Next, we'll find the absolute deviation of the mean. How we do this is, we find how far away all the numbers are from 41.
44 is 3 away from 41
39 is 2 away from 41
47 is 6 away from 41
38 is 3 away from 41
41 is 0 away from 41
40 is 1 away from 41
So now, we add all of the distances together (3, 2, 6, 3, 0, and 1), and that equals 15! Now we do 15 ÷ 6, which is 2.5 and the reason we're dividing by 6 is because we're dividing by the number of distances we added together. Now, if you look on your worksheet, the closest answer to 2.5 is C, (2.6) so I'd chose that as the correct answer. I hope that helped!
We can rewrite the equation given above as,
y = 3 - 4x
This item asks us to determine the value of the y-intercept. The value is calculated by letting x of the equation be equal to zero. Applying this methodology to the given above,
y = 3 - 4(0)
y = 3
Hence, the y-intercept of the given function is 3.
