Answer: T(90) = 93.413 F
Step-by-step explanation:
The temperature T of an object in degrees Fahrenheit after t minutes is represented by the equation
T(t) = 69e−0.0174t + 79.
T is the dependent variable while t is the independent variable. To determine any value for Temperature, we will input the corresponding value for time into the function.
We want to determine the temperature of the object after one and a half hours. This means that we have to convert one and a half hours to minutes
1f 1 hour = 60 minutes
Then 1.5 hours = 1.5 × 60 = 90 minutes.
We would substitute t = 90 minutes into the equation, it becomes
T(90) = 69e−0.0174×90 + 79
T(90) = 69e−1.566 + 79
T(90) = 14.413 + 79
T(90) = 93.413 F
Answer:
2hrs 40 minutes
Step-by-step explanation:
The formula for distance is expressed as:

#The time taken to run:

#The time taken to walk:

#Since the distances are the same:

Hence, Dana spends 2hrs 40 minutes walking back
Answer: r= 1.22
Step-by-step explanation:
Formula for amount with simple interest = 
, where
P= principal value , r= rate of interest , t = time.
Given: P= $2000, t= 5 years, r= 1.25% = 0.0125

Formula to compute compound amount : 

When both have same worth then

taking log on both sides , we get

Hence, Value of r= 1.22
Answer:
7:30
Step-by-step explanation:
5:30 + 2:00 = 7:30
Answer:
A. Height is input, Weight is output
Step-by-step explanation:
We are given the statement,
"Weight is a function of height".
As we know,
<em>In a function of the form
, the input variable is 'x' and the output variable is 'y'.</em>
If we write the given statement in the form
, we get,

This means that the input variable is 'Height' and the output variable is 'Weight'.
Hence, option A is correct.