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:
-0.89269063
...
Step-by-step explanation:
Put it in the calculator
X^2 +3x-4=0
(X+4)(x-1)=0 so x = -4 and x=1 are solutions
An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent the number of femalevolunteers and y represent the number of male volunteers.which inequalities model the situation?select each correct answer.
A- x + y < 10
<span>B- x + y ≤ 10 & </span>x ≥ 4
C- x > 4
D- x ≥ 4
E- y > 0
G- y ≥ 0
Solution :
option "B" is correct. Because the total number of male and female should be upto 10. and the number of female should be equal or greater than 4 but not less than it.
