Answer:
1. The amount of time you keep your porch light on.
2. The temperature you keep your air conditioner at.
Step-by-step explanation:
<u>Porch Light Time Example: </u>
The light does not turn on or off based on the bill, thus its independent, but the bill is effected by the amount of time the light is on thus dependent.
You keep your porch light on for 24 hours a day for 1 month, that month your electricity bill is $50.
Next month you keep your porch light on for 12 hours a day and your electricity bill is $40.
<u>Air Conditioner Temp Example: </u>
The thermostat temperature is not effected by the bill, thus its independent, but the bill is effected by the thermostat, thus dependent.
You set your thermostat to 70 degrees for 1 month, that month your electricity bill is $50.
Next month you set your thermostat to 75 degrees for 1 month, that month your electricity bill is $40.
Answer: 7
Step-by-step explanation: there are 4 full circles so that equals 4. 1+1=2, 1/8+7/8=1. 4+2+1=7
Using an exponential function, the inequality is given as follows:
The solution is t > 2.9, hence the tax status will change within the next 3 years.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
For this problem, the parameters are given as follows:
A(0) = 9400, r = 0.143.
The population after t years is modeled by:
The tax status will change when:
Hence the inequality is:
Then:
Since both logs are negative:
t > 2.9.
The solution is t > 2.9, hence the tax status will change within the next 3 years.
More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
x = -8
Step-by-step explanation:
these angles are vertical, therefore they are equal
x + 78 = 70
x = -8
