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
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
32. 15.99 x .40 = 6.40
15.99 - 6.40 = 9.59
80/ 9.59 = 8.34
Jenny can buy A. 8 CD’s with her $80
31. 5,000 x .10 = 500
5,000 - 500 = 4,500
4,500 x .15 = 675
4,500 + 675 = 5,175
Ben will earn C. $5,175 after one year one the job
Answer:
Step-by-step explanation: