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
Matilda only ate 1/12 of the pie as 1/2 of 1/6 = 1/12
Answer: $9.99
Step-by-step explanation:
There are 4 pounds of apples with each pound costing $1.75.
There is one bag of orange with a bag costing $2.99.
Total = (4 * 1.75) + 2.99
= 7 + 2.99
= $9.99
Answer:
1:3.5
sorry if I'm wrong I really know it but still serve them wrong
Step-by-step explanation:
The height of an oak tree (which depends on the age of the tree) is 100
