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
I assume you mean 3(16^7-39)?
16^7 is 268435456
268435456-39 is 268435417
268435417 multiplied by 3 is 805306251
Hope this helped.
Answer:
10 books approx
Step-by-step explanation:
Step one:
Given data
Hight of cupboard= 1.21m
Thickness of book= 12.5cm
thickness in meters= 12.5/100= 0.125m
Required
The number of books need to fill the Cupboard
Step two:
the number of books can be computed as
= 1.21/0.125
=9.68 book
=10 books approx
These two angles are corresponding angles, so x = 136 degrees
54 gallons
Step-by-step explanation:
