For the square root of a fraction, you could divide the fraction (top divided by the bottom) and then find the square root of the quotient. 9 divided by 16 is 0.5625, and the square root of 0.5625 is 0.75. / / / / For the other way to do it, you have to know that the square root of a fraction is the same thing as the square root of the top over the square root of the bottom. So the sqrt (9/16) = sqrt (9)/sqrt (16) = 3/4. (same thing as 0.75 .)
Associative property is when you move the grouping symbols: ( and )
So the answer is B.
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 = $142.40
r = 11% = 11/100 = 0.11
t = 1
Therefore
142.40 = P(1 - 0.11)^1
142.40 = P(0.89)
P = 142.4/0.89
P = 160
For her to have half of what she invested originally, then
80 = 160(0.89)^t
80/160 = (0.89)^t
0.5 = (0.89)^t
Taking log of both sides to base 10
Log 0.5 = log0.89^t = tlog0.89
- 0.3010 = - 0.051t
t = - 0.3010/- 0.051
t = 5.9
Approximately 6 weeks
The answer is 6,811.1
The reason the 0 moved up to a 1 is because the number in the hundredth place was 5 or over. If it were 4 or under, then it would have remained a 0.
The answer is 6$ because 50% of 40 would be 20 and 50% of 20 is 10 but when you all on the tax which would be around a dollar when you take 50% of 10 which is 5 and add on the tax which is a dollar you then get 6$ in total.
