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
Change the underlined words if it is not correct and write true if it is correct.
<h3>Integers</h3>
<u>1.</u><u> </u><u>P</u><u>ositive</u> integers are not whole numbers.
Negative integers are not whole numbers.
2. All whole numbers are <u>integers</u>.
True
3. <u>Zero</u> is the smallest whole number.
True
4. Any whole number greater than <u>zero</u> is a positive integers.
True
5. Fractions and Decimals are not integer.
6. 1 is a counting number and a positive integers.
True
7. Rational number include all integers , fraction, or terminating decimals.
True
8. Any whole number that is <u>greater</u> than 0 is a negative integers.
- Any whole number that is <u>less</u> than 0 is a negative integers.
Learn more about integers:
brainly.com/question/10853762
Answer:
T-6÷2+5
Step-by-step explanation:
Answer:
the answers Is c. x=4
Step-by-step explanation:
do substitution 2*4+6=14
and 6*4-10=14
Answer:
64
Step-by-step explanation:
It’s directly adjacent to the other angle.
