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 total cost for one can is: $25.41.
__________________________________________________
Let us assume that we want to know the total cost of ONE CAN.
_____________________________________________
To calculate our answer:
_______________________________
$ 23.97 + [ (6/100) * 23.97)] = Our answer, in dollars.
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Note: "6%" = 6/100 = 0.06
_______________________
Rewrite as:
____________
$ 23.97 + [ (6/100) * 23.97)] = our answer, in dollars;
_____________________________________________
$ 23.97 + (0.06 * 23.97)
= $ 23.97 + 1.4382
= $ 25.4082 ; Round to decimal places, to get:
<span>→ $ 25.41
</span>__________________________________________
Pair (3,11) should be removed because the domain x should never be repeated in a function.
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Answer:
b x 5 = 30
Step-by-step explanation:
This is one of the many correct answers. The reason why is because it shows that the variable is correct. And if you didn’t know what the variable was you could just divide 30 / 5.