Answer: She started with $160.
It will take 6 weeks before she has less than half of what she originally invested.
Step-by-step explanation:
If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.
We would apply the formula for exponential decay which is expressed as
A = P(1 - r)^t
Where
A represents the value of the investment after t weeks.
t represents the number of weeks.
P represents the initial value of the investment.
r represents rate of depreciation.
From the information given,
A = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
A fraction is just the easier, cleaner way of writing a division problem
the numerator is the number you are dividing
the denominator is the number you are dividing with
EX- 2 divided by 3 as a fraction is
2/3
Answer:
C. 55
Step-by-step explanation:
Since all angles in a triangle add up to 180°, we have:
40 + y + y + 30 = 180
2y + 70 = 180
2y = 110
y = 55
Answer:
1 solution
Step-by-step explanation:
A system of two equations can be classified as follows:
1) If the slopes are the same but the y-intercepts are different, the system has no solution.
<em>2) If the slopes are different, the system has one solution.</em>
3) If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions
Hope this helps you
Answer:
5/4
Step-by-step explanation:
2 1/2=5/2
(5/2)(1/2)=5/4
