Well with a slope of 1 it rules out a. and c. and with a y-intercept of +4 it rules out b. so the answer is d. y = x + 4
Answer:
Step-by-step explanation:
The starting weight of the radioactive isotope = 96 grams
Weight after one hour is half of the starting weight. So the weight of the radioactive isotope after 1 hour = 48 grams
After 2 hours the weight is half as compared to the weight after previous hour. So weight after 2 hours = 24 grams.
This means, after every hour the weight is being halved. The half life of radioactive isotope is one hour.
Since after every hour, the weight is being halved, the weight of the isotope can be modeled by an exponential equation.
So,
Initial Weight = W₁ = 96
Change factor = 1/2 = 0.5
The general equation of the sequence will be:

Here t represents the number of hours. Using various values of t we can find the weight of the radioactive isotope at that time.
We can plot the sequence using the above equation. The graph is attached below.
Answer
Total amount earned after 16 years = $93649
Explanation:
The principal, P = $50,000
Interest rate, r = 4% = 4/100
r = 0.04
The time, t = 16 years
Number of times intesrest is compounded per year, n = 1
Total amount is calculated below:

Total amount earned after 16 years = $93649
Hi there
The formula is
A=p (1+r)^t
A future value?
P present value 1000
R interest rate 0.07
T time 5 years
So
A=1,000×(1+0.07)^(5)
A=1,402.55
It's a
Hope it helps