Answer:
c = 8.14 million×(0.9166)^t
4.83 million
Step-by-step explanation:
Data:
t = y - 2007
c₀ = 8.14 million
c₃ = 23 % less than c₁
Part 1. Calculate c₃
c₃ = c₀(1 - 0.23) = 0.77c₀
Part 2. Calculate r
c₃ = c₀r^t
0.77c₀ = c₀r³
0.77 = r³ Divided each side by c₀
r = 0.9166 Took the cube root of each side
The explicit decay model is c = 8.14 million×(0.9166)^t
Part 3. Prediction
t = 2013 - 2007 = 6
c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million
The model predicts that there will be 4.83 million cars for sale in 2013.
Answer:
1/8
Step-by-step explanation:
1st day......1/3
2nd day....1/6
3rd day....3/8
common denominator of 24
1/3 + 1/6 + 3/8 = 8/24 + 4/24 + 9/24 = 21/24 (this is water used)
that means that : (24/24 - 21/24) = 3/24 reduces to 1/8 .....water in the tank
Answer:
- x = log(y/4)/log(1.0256)
- your answer for y=12 is correct
Step-by-step explanation:
The question is asking you to solve ...
y = f(x)
for x. (In other words, find the inverse function.)
You already did this using a constant for y. Do the same thing with y instead of the constant.
y = 4(1.0256^x)
y/4 = 1.0256^x . . . . . . . divide by 4
log(y/4) = x·log(1.0256) . . . . . take logs
log(y/4)/log(1.0256) = x . . . . . divide by the coefficient of x
Now, you have a model for x in terms of y, which is what the question is asking for.
x = log(y/4)/log(1.0256) . . . . . . . exact expression
When y=12, this is ...
x = log(12/4)/log(1.0256) ≈ 43.46 . . . . weeks
_____
This is a linear equation in log(y), so can be written as such:
x = 91.0912·log(y) -54.8424 . . . . . approximate expression
Answer:
Table is attached
Step-by-step explanation:
We are given equation as

We will complete each column
First column:
we are given x=2 and we have to find y



Second column:
we are given y=3 and we have to find x



Third column:
we are given x=6 and we have to find y



Fourth column:
we are given x=0 and we have to find y



Fifth column:
we are given x=3 and we have to find y



Sixth column:
we are given y=0 and we have to find x



Seventh column:
we are given y=8 and we have to find x



now, we can complete table
Letter or number just remember that