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:
2√6
Step-by-step explanation:
I will be honest with you and say that I'm not sure if it is right or not.
Robins basket is heavier.
Teds basket: 5x7.25=36.25
Robins basket: 6x6.25=37.5
37.5-36.25= 1.25
It is heavier by 1.25 ounces or 1 and 1/4 ounces
Step-by-step explanation:
focus(p) is on the x axis= -1
vertex=(0,0)
parabola equation----- (y-h)^2 =4p(x-k)
(h, k)=(0,0)
(y-0)^2 =4(-1)(x-0)
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y^2 = -4x
that is the answer
