9514 1404 393
Answer:
a) 600
b) see below
c) 1.26 hours
Step-by-step explanation:
a) The value of y when x=0 is the coefficient of the exponential term:
y = 600·3^(-0) = 600·1 = 600
There were 600 atoms to start.
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b) see attached for a graph
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c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.
If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.
150 = 600·3^(-x)
150/600 = 3^(-x)
log(1/4) = -x·log(3)
x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595
After about 1.26 hours, there were 150 atoms.
Given cost function is
c(x) = (20 ≤ x ≤ 400)
where x is the number of thousands of square feet
total revenue will be $0.2 million dollars per thousand square feet
Revenue is 0.2 millions per thousand square feet. we know x is the number of thousand of square feet
So R(x) = 0.2x
We know Profit = Revenue - Cost
P(x) = R(x) - C(x)
combine like terms
Profit function is
Using it's formula, it is found that the monthly payments for the loan of the apartment is of $7,260.50.
<h3>What is the monthly payment formula?</h3>It is given by:
In which:
In this problem, the parameters are given as follows:
P = 500000, r = 0.123, n = 12 x 10 = 120.
Hence:
r/12 = 0.123/12 = 0.01025.
Then, the monthly payments will be of:
A = 7260.50.
More can be learned about the monthly payment formula at brainly.com/question/26267630
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