Answer:
The expression for her balance is "B(t) = -75*t + 1500". It'll take her 20 months to pay off the loan.
Step-by-step explanation:
We are looking for a function that has the following points:
B(0) = 1500
B(4) = 1200
B(7) = 975
Between B(4) and B(7), there was a variation of 3 months and a variation of -225 on her balance, thefore for each month that passed there was a variation of -75. Thefore, the expression for her ballance is:
B(t) = -75*t + 1500
To check if this expression is valid, we will apply the values provided on the problem:
B(0) = -75*0 + 1500 = 1500 (valid)
B(4) = -75*4 + 1500 = -300 + 1500 = 1200 (valid)
B(7) = -75*7 + 1500 = -525 + 1500 = 975 (valid)
When she pays of her loan, B(t) = 0, so we need to solve for t as shown below:
B(t) = -75*t + 1500 = 0
-75*t + 1500 = 0
75*t = 1500
t = 1500 / 75 = 20 months
It'll take her 20 months to pay the loan.
The coordinates of A'' are .
Let be , we apply the following operations to get the coordinates of A'':
Reflection over x = 2
Translation
The coordinates of A'' are .
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Number of unburnt cells, x= 151.9 x 10^10
<u>Step-by-step explanation</u>:
Number of unburnt cells= x
x = ?
<u>Given</u>: 2% cells are burnt
(3.1 x 10^10 cells)/2% = x/98%
x = (3.1 x 10^10)(98%/2%)
=(31000000000)(49)
x =151.9 x 10^10