For part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
<h3>What is exponential decay?</h3>
During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.
We have an equation for radioactive decay:
a) Plug t = 0
m(0) = 400 grams
b) plug t = 20 years
After solving:
m(20) = 198.63 grams
c) Plug m(t) = m(0)/2 = 400/2 = 200 grams
x = 19.80 years ≈ 20 years
Thus, for part (a) the answer is 400 grams for part (b) 198.63 grams and for part (c) 20 years.
Learn more about the exponential decay here:
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Answer:
Step-by-step explanation:
Let X be the no of vehicles that require warranty service within I year out of vehicles sold (9) yesterday.
Each vehicle is independent of the other to get warranty service
Hence X is binomial with p=8% = 0.08
So P(X=x) = 
c) 
d) Mean = Mean of binomial = np =
Var (x) = npq = 
Std dev = square root of variance = 0.8139
Answer:
Total amount that Matthew's bank will receive is $10099.81.
Step-by-step explanation:
We need to find the amount Matthew's bank will receive after lending him $8,000 for four years at an interest rate of 6 percent, compounded annually.
The formula for compound interest is:
Where A = future value
P= Principal Amount
r = interest rate
and n= time
So in the question we are given:
P= $8000
r = 6% or 0.06
t = 4 (since 4 yeras compounded annually)
A= 8000*(1+0.06)^4
A= 8000*(1.06)^4
A= 10099.81
So, total amount that Matthew's bank will receive is $10099.81.
Answer:
x = 82
Step-by-step explanation:
The bottom angle is the same as the angle next to x + 6
A straight angle is 180 degrees.
You add the given angles: (x + 6) + (x + 10) = 2x + 16
180 = 2x + 16
- 16 -16
164 = 2x
x = 82
