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
Distributive proeprty
wait
combein elike terms
4(1m+3+5m)=4(5m+1m+3)=4(6m+3)
if we distribute
reemmber that a(b+c)=ab+ac
4(6m+3)=4(6m)+4(3)=24m+12
A. 24m+12 and 12(2m+1)
B. distributive property
C. if m=1, we get 36=36
Answer:
No.
Step-by-step explanation:
Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k. Here, h denotes horizontal translation and k denotes vertical translation. Translation to the left by 2 units would be (x + 2)^3 + 7. Translation to the right by 2 units would be (x - 2)^3 + 7. So, no, Tia's description of horiz. translation is incorrect.
However, her adding 7 does denote a positive vertical translation.
Given 460 
a) convert it into 
=> It means 
and 
1 ft = 0.3048 m
1 gal = 3.78541 l
![460ft^2= [tex]460\frac{ft^2}{gal} = \frac{42.7354m^2}{3.78541l} = 11.2895m^2/l](https://tex.z-dn.net/?f=460ft%5E2%3D%20%5Btex%5D460%5Cfrac%7Bft%5E2%7D%7Bgal%7D%20%3D%20%5Cfrac%7B42.7354m%5E2%7D%7B3.78541l%7D%20%3D%2011.2895m%5E2%2Fl)
m^2[/tex].
b. 
c.Given= 
To find inverse, divide it by 1.
Inverse- 
X^2 + 8x + 7= 0
(X+7)(X+1)
X=-1,-7
