Answer:
9
Step-by-step explanation:
The first thing we shall be doing here is substituting f(x) into g(x).
Mathematically, that would be written as g(f(x))
= 2(4x-3)-1 = 8x -6 -1 = 8x - 7
Now we shall find g(f(2)) by substituting 2 into the expression above.
Mathematically, that would be 8(2) -7 = 16-7 = 9
Answer : $3403.53
Detailed Solution:
<span>principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below:
pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91
</span>
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.
Answer: The correct answer is (B)
Step-by-step explanation: No. Ari should have written the percent ratio as 5/100
<span>The dependent variable is the value that changes when one factor is changed. The independent variable is what being changed in a system. For this cae the dependent variable would be the height of the parasail while the independent variable would be the speed of the motorboat.</span>
